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\begin{isabellebody}%
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\def\isabellecontext{Build{\isaliteral{5F}{\isacharunderscore}}Inverse{\isaliteral{5F}{\isacharunderscore}}Z{\isaliteral{5F}{\isacharunderscore}}Transform}%
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\isadelimtheory
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\isanewline
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\isanewline
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\endisadelimtheory
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\isatagtheory
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\isacommand{theory}\isamarkupfalse%
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\ Build{\isaliteral{5F}{\isacharunderscore}}Inverse{\isaliteral{5F}{\isacharunderscore}}Z{\isaliteral{5F}{\isacharunderscore}}Transform\ \isakeyword{imports}\ Isac\isanewline
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\ \ \isanewline
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\isakeyword{begin}%
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\endisatagtheory
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{\isafoldtheory}%
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\isadelimtheory
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\endisadelimtheory
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\begin{isamarkuptext}%
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We stepwise build Inverse_Z_Transform.thy as an exercise.
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Because subsection "Stepwise Check the Program" requires
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Inverse_Z_Transform.thy as a subtheory of Isac.thy, the setup has been changed
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from "theory Inverse_Z_Transform imports Isac begin.." to the above.
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ATTENTION WITH NAMES OF IDENTIFIERS WHEN GOING INTO INTERNALS:
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Here in this theory there are the internal names twice, for instance we have
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(Thm.derivation_name \isa{rule{\isadigit{1}}} = "Build_Inverse_Z_Transform.rule1") = true;
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but actually in us will be "Inverse_Z_Transform.rule1"%
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\end{isamarkuptext}%
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\isamarkuptrue%
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\isadelimML
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\endisadelimML
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\isatagML
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\isacommand{ML}\isamarkupfalse%
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\ {\isaliteral{7B2A}{\isacharverbatimopen}}val\ thy\ {\isaliteral{3D}{\isacharequal}}\ %
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\isaantiq
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theory\ Isac{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{2A7D}{\isacharverbatimclose}}%
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\endisatagML
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{\isafoldML}%
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\isadelimML
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\endisadelimML
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\isamarkupsection{trials towards Z transform%
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}
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\isamarkuptrue%
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%
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\begin{isamarkuptext}%
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===============================%
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\end{isamarkuptext}%
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\isamarkuptrue%
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\isamarkupsubsection{terms%
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}
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\isamarkuptrue%
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\isadelimML
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\endisadelimML
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\isatagML
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\isacommand{ML}\isamarkupfalse%
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\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isadigit{1}}\ {\isaliteral{3C}{\isacharless}}\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}{\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}u\ {\isaliteral{2D}{\isacharminus}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{5B}{\isacharbrackleft}}\ {\isaliteral{5D}{\isacharbrackright}}\ denotes\ lists\ {\isaliteral{21}{\isacharbang}}{\isaliteral{21}{\isacharbang}}{\isaliteral{21}{\isacharbang}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}z\ {\isaliteral{2F}{\isacharslash}}{\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}Isac\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isadigit{1}}\ {\isaliteral{3C}{\isacharless}}\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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term{\isadigit{2}}str\ %
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isadigit{1}}\ {\isaliteral{3C}{\isacharless}}\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
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\isacommand{ML}\isamarkupfalse%
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\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
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{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}alpha\ {\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{3E}{\isachargreater}}\ \ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{3C}{\isacharless}}{\isaliteral{2F}{\isacharslash}}alpha{\isaliteral{3E}{\isachargreater}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\ {\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C64656C74613E}{\isasymdelta}}\ {\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7068693E}{\isasymphi}}\ {\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C72686F3E}{\isasymrho}}\ {\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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term{\isadigit{2}}str\ %
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\isaantiq
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term\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C72686F3E}{\isasymrho}}\ {\isaliteral{22}{\isachardoublequote}}{}%
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\endisaantiq
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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{\isaliteral{2A7D}{\isacharverbatimclose}}%
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\endisatagML
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{\isafoldML}%
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\isadelimML
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\isamarkupsubsection{rules%
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}
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\isamarkuptrue%
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\isacommand{axiomatization}\isamarkupfalse%
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\ \isakeyword{where}\ \isanewline
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\ \ rule{\isadigit{1}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5C3C64656C74613E}{\isasymdelta}}{\isaliteral{5B}{\isacharbrackleft}}n{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequoteclose}}\ \isakeyword{and}\isanewline
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\ \ rule{\isadigit{2}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3E}{\isachargreater}}\ {\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ u\ {\isaliteral{5B}{\isacharbrackleft}}n{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequoteclose}}\ \isakeyword{and}\isanewline
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\ \ rule{\isadigit{3}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3C}{\isacharless}}\ {\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequoteclose}}\ \isakeyword{and}\ \isanewline
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\ \ rule{\isadigit{4}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3E}{\isachargreater}}\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}n\ {\isaliteral{2A}{\isacharasterisk}}\ u\ {\isaliteral{5B}{\isacharbrackleft}}n{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequoteclose}}\ \isakeyword{and}\isanewline
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\ \ rule{\isadigit{5}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3C}{\isacharless}}\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}n{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2A}{\isacharasterisk}}\ u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequoteclose}}\ \isakeyword{and}\isanewline
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\ \ rule{\isadigit{6}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ z\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{7C}{\isacharbar}}\ {\isaliteral{3E}{\isachargreater}}\ {\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ z{\isaliteral{2F}{\isacharslash}}{\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isadigit{2}}\ {\isaliteral{3D}{\isacharequal}}\ n\ {\isaliteral{2A}{\isacharasterisk}}\ u\ {\isaliteral{5B}{\isacharbrackleft}}n{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
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\isadelimML
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\endisadelimML
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|
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\isatagML
|
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|
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\isacommand{ML}\isamarkupfalse%
|
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|
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\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
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|
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%
|
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|
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\isaantiq
|
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|
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thm\ rule{\isadigit{1}}{}%
|
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|
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\endisaantiq
|
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|
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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%
|
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|
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\isaantiq
|
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|
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thm\ rule{\isadigit{2}}{}%
|
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|
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\endisaantiq
|
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|
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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|
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%
|
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|
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\isaantiq
|
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|
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thm\ rule{\isadigit{3}}{}%
|
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|
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\endisaantiq
|
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|
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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|
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%
|
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|
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\isaantiq
|
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|
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thm\ rule{\isadigit{4}}{}%
|
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|
183 |
\endisaantiq
|
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|
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{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
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{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
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|
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\endisatagML
|
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|
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{\isafoldML}%
|
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|
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%
|
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|
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\isadelimML
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|
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%
|
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|
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\endisadelimML
|
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|
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%
|
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|
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\isamarkupsubsection{apply rules%
|
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|
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}
|
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|
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\isamarkuptrue%
|
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|
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%
|
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|
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\isadelimML
|
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|
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%
|
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|
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\endisadelimML
|
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|
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%
|
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|
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\isatagML
|
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|
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\isacommand{ML}\isamarkupfalse%
|
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|
203 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
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|
204 |
val\ inverse{\isaliteral{5F}{\isacharunderscore}}Z\ {\isaliteral{3D}{\isacharequal}}\ append{\isaliteral{5F}{\isacharunderscore}}rls\ {\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{5F}{\isacharunderscore}}Z{\isaliteral{22}{\isachardoublequote}}\ e{\isaliteral{5F}{\isacharunderscore}}rls\isanewline
|
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|
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\ \ {\isaliteral{5B}{\isacharbrackleft}}\ Thm\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}rule{\isadigit{3}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
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|
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\isaantiq
|
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|
207 |
thm\ rule{\isadigit{3}}{}%
|
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|
208 |
\endisaantiq
|
neuper@42289
|
209 |
{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
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|
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\ \ \ \ Thm\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}rule{\isadigit{4}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
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|
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\isaantiq
|
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|
212 |
thm\ rule{\isadigit{4}}{}%
|
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|
213 |
\endisaantiq
|
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|
214 |
{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
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|
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\ \ \ \ Thm\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}rule{\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
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|
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\isaantiq
|
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|
217 |
thm\ rule{\isadigit{1}}{}%
|
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|
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\endisaantiq
|
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|
219 |
{\isaliteral{29}{\isacharparenright}}\ \ \ \isanewline
|
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|
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\ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
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\isanewline
|
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|
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val\ t\ {\isaliteral{3D}{\isacharequal}}\ str{\isadigit{2}}term\ {\isaliteral{22}{\isachardoublequote}}z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2B}{\isacharplus}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
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val\ SOME\ {\isaliteral{28}{\isacharparenleft}}t{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}\ asm{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ thy\ true\ inverse{\isaliteral{5F}{\isacharunderscore}}Z\ t{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
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term{\isadigit{2}}str\ t{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{3F}{\isacharquery}}{\isaliteral{5C3C64656C74613E}{\isasymdelta}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{3F}{\isacharquery}}n{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2B}{\isacharplus}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{3F}{\isacharquery}}{\isaliteral{5C3C64656C74613E}{\isasymdelta}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{3F}{\isacharquery}}n{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}attention\ rule{\isadigit{1}}\ {\isaliteral{21}{\isacharbang}}{\isaliteral{21}{\isacharbang}}{\isaliteral{21}{\isacharbang}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
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|
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{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
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|
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\isacommand{ML}\isamarkupfalse%
|
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|
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\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
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|
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val\ {\isaliteral{28}{\isacharparenleft}}thy{\isaliteral{2C}{\isacharcomma}}\ ro{\isaliteral{2C}{\isacharcomma}}\ er{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}%
|
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|
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\isaantiq
|
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|
230 |
theory\ Isac{}%
|
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|
231 |
\endisaantiq
|
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|
232 |
{\isaliteral{2C}{\isacharcomma}}\ tless{\isaliteral{5F}{\isacharunderscore}}true{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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|
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{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
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|
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\isacommand{ML}\isamarkupfalse%
|
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|
235 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
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|
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val\ SOME\ {\isaliteral{28}{\isacharparenleft}}t{\isaliteral{2C}{\isacharcomma}}\ asm{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}\ thy\ ro\ er\ true\ {\isaliteral{28}{\isacharparenleft}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
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|
237 |
\isaantiq
|
neuper@42289
|
238 |
thm\ rule{\isadigit{3}}{}%
|
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|
239 |
\endisaantiq
|
neuper@42289
|
240 |
{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
241 |
term{\isadigit{2}}str\ t\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}\ {\isaliteral{3F}{\isacharquery}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}\ {\isaliteral{3F}{\isacharquery}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{2B}{\isacharplus}}\ z\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2D}{\isacharminus}}\ real\ {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
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|
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term{\isadigit{2}}str\ t{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
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|
243 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
244 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
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|
245 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}t{\isaliteral{2C}{\isacharcomma}}\ asm{\isadigit{2}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}\ thy\ ro\ er\ true\ {\isaliteral{28}{\isacharparenleft}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
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|
246 |
\isaantiq
|
neuper@42289
|
247 |
thm\ rule{\isadigit{4}}{}%
|
neuper@42289
|
248 |
\endisaantiq
|
neuper@42289
|
249 |
{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
250 |
term{\isadigit{2}}str\ t\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}\ {\isaliteral{3F}{\isacharquery}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}\ {\isaliteral{3F}{\isacharquery}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{3F}{\isacharquery}}n\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{3F}{\isacharquery}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{3F}{\isacharquery}}n{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2D}{\isacharminus}}\ real\ {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
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|
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term{\isadigit{2}}str\ t{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
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{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
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|
253 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
254 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
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|
255 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}t{\isaliteral{2C}{\isacharcomma}}\ asm{\isadigit{3}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}\ thy\ ro\ er\ true\ {\isaliteral{28}{\isacharparenleft}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
neuper@42289
|
256 |
\isaantiq
|
neuper@42289
|
257 |
thm\ rule{\isadigit{1}}{}%
|
neuper@42289
|
258 |
\endisaantiq
|
neuper@42289
|
259 |
{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
260 |
term{\isadigit{2}}str\ t\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}\ {\isaliteral{3F}{\isacharquery}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{2D}{\isacharminus}}\ {\isaliteral{3F}{\isacharquery}}n\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{3F}{\isacharquery}}n\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{3F}{\isacharquery}}u\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{3F}{\isacharquery}}n{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{3F}{\isacharquery}}{\isaliteral{5C3C64656C74613E}{\isasymdelta}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{3F}{\isacharquery}}n{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2D}{\isacharminus}}\ real\ {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
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|
261 |
term{\isadigit{2}}str\ t{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
262 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
263 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
264 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
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|
265 |
terms{\isadigit{2}}str\ {\isaliteral{28}{\isacharparenleft}}asm{\isadigit{1}}\ {\isaliteral{40}{\isacharat}}\ asm{\isadigit{2}}\ {\isaliteral{40}{\isacharat}}\ asm{\isadigit{3}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
266 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
267 |
\endisatagML
|
neuper@42289
|
268 |
{\isafoldML}%
|
neuper@42289
|
269 |
%
|
neuper@42289
|
270 |
\isadelimML
|
neuper@42289
|
271 |
%
|
neuper@42289
|
272 |
\endisadelimML
|
neuper@42289
|
273 |
%
|
jan@42296
|
274 |
\isamarkupsection{Prepare steps for CTP-based programming language%
|
neuper@42289
|
275 |
}
|
neuper@42289
|
276 |
\isamarkuptrue%
|
neuper@42289
|
277 |
%
|
neuper@42289
|
278 |
\begin{isamarkuptext}%
|
jan@42296
|
279 |
TODO insert Calculation (Referenz?!)
|
jan@42296
|
280 |
|
jan@42296
|
281 |
The goal... realized in sections below, in Sect.\ref{spec-meth} and Sect.\ref{prog-steps}
|
jan@42296
|
282 |
|
jan@42296
|
283 |
the reader is advised to jump between the subsequent subsections and the respective steps in Sect.\ref{prog-steps}%
|
neuper@42289
|
284 |
\end{isamarkuptext}%
|
neuper@42289
|
285 |
\isamarkuptrue%
|
neuper@42289
|
286 |
%
|
jan@42296
|
287 |
\isamarkupsubsection{prepare expression \label{prep-expr}%
|
neuper@42289
|
288 |
}
|
neuper@42289
|
289 |
\isamarkuptrue%
|
neuper@42289
|
290 |
%
|
neuper@42289
|
291 |
\isadelimML
|
neuper@42289
|
292 |
%
|
neuper@42289
|
293 |
\endisadelimML
|
neuper@42289
|
294 |
%
|
neuper@42289
|
295 |
\isatagML
|
neuper@42289
|
296 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
297 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
298 |
val\ ctxt\ {\isaliteral{3D}{\isacharequal}}\ ProofContext{\isaliteral{2E}{\isachardot}}init{\isaliteral{5F}{\isacharunderscore}}global\ %
|
neuper@42289
|
299 |
\isaantiq
|
neuper@42289
|
300 |
theory\ Isac{}%
|
neuper@42289
|
301 |
\endisaantiq
|
neuper@42289
|
302 |
{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
303 |
val\ ctxt\ {\isaliteral{3D}{\isacharequal}}\ declare{\isaliteral{5F}{\isacharunderscore}}constraints{\isaliteral{27}{\isacharprime}}\ {\isaliteral{5B}{\isacharbrackleft}}%
|
neuper@42289
|
304 |
\isaantiq
|
neuper@42289
|
305 |
term\ {\isaliteral{22}{\isachardoublequote}}z{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{22}{\isachardoublequote}}{}%
|
neuper@42289
|
306 |
\endisaantiq
|
neuper@42289
|
307 |
{\isaliteral{5D}{\isacharbrackright}}\ ctxt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
308 |
\isanewline
|
neuper@42289
|
309 |
val\ SOME\ fun{\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}\ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}X\ z\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{3}}\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ term{\isadigit{2}}str\ fun{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
310 |
val\ SOME\ fun{\isadigit{1}}{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}X\ z\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{3}}\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}z{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ term{\isadigit{2}}str\ fun{\isadigit{1}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
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|
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{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
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|
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\endisatagML
|
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|
313 |
{\isafoldML}%
|
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|
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%
|
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|
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\isadelimML
|
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|
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%
|
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|
317 |
\endisadelimML
|
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|
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%
|
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|
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\isamarkupsubsubsection{multply with z%
|
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|
320 |
}
|
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|
321 |
\isamarkuptrue%
|
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|
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\isacommand{axiomatization}\isamarkupfalse%
|
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|
323 |
\ \isakeyword{where}\isanewline
|
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|
324 |
\ \ ruleZY{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}X\ z\ {\isaliteral{3D}{\isacharequal}}\ a\ {\isaliteral{2F}{\isacharslash}}\ b{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}X{\isaliteral{27}{\isacharprime}}\ z\ {\isaliteral{3D}{\isacharequal}}\ a\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2A}{\isacharasterisk}}\ b{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
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|
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%
|
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|
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\isadelimML
|
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|
327 |
\isanewline
|
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|
328 |
%
|
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|
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\endisadelimML
|
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|
330 |
%
|
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|
331 |
\isatagML
|
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|
332 |
\isacommand{ML}\isamarkupfalse%
|
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|
333 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
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|
334 |
val\ {\isaliteral{28}{\isacharparenleft}}thy{\isaliteral{2C}{\isacharcomma}}\ ro{\isaliteral{2C}{\isacharcomma}}\ er{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}%
|
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|
335 |
\isaantiq
|
neuper@42289
|
336 |
theory\ Isac{}%
|
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|
337 |
\endisaantiq
|
neuper@42289
|
338 |
{\isaliteral{2C}{\isacharcomma}}\ tless{\isaliteral{5F}{\isacharunderscore}}true{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
339 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}fun{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}\ asm{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}\ thy\ ro\ er\ true\ \ %
|
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|
340 |
\isaantiq
|
neuper@42289
|
341 |
thm\ ruleZY{}%
|
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|
342 |
\endisaantiq
|
neuper@42289
|
343 |
\ fun{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\ term{\isadigit{2}}str\ fun{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
344 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}fun{\isadigit{2}}{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}\ asm{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}\ thy\ ro\ er\ true\ \ %
|
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|
345 |
\isaantiq
|
neuper@42289
|
346 |
thm\ ruleZY{}%
|
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|
347 |
\endisaantiq
|
neuper@42289
|
348 |
\ fun{\isadigit{1}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\ term{\isadigit{2}}str\ fun{\isadigit{2}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
349 |
\isanewline
|
neuper@42289
|
350 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}fun{\isadigit{3}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
351 |
\isaantiq
|
neuper@42289
|
352 |
theory\ Isac{}%
|
neuper@42289
|
353 |
\endisaantiq
|
neuper@42289
|
354 |
\ false\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ fun{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
355 |
term{\isadigit{2}}str\ fun{\isadigit{3}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}fails\ on\ x{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\ TODO{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
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|
356 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}fun{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
357 |
\isaantiq
|
neuper@42289
|
358 |
theory\ Isac{}%
|
neuper@42289
|
359 |
\endisaantiq
|
neuper@42289
|
360 |
\ false\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ fun{\isadigit{2}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
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|
361 |
term{\isadigit{2}}str\ fun{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}OK{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
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|
362 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
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|
363 |
\endisatagML
|
jan@42296
|
364 |
{\isafoldML}%
|
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|
365 |
%
|
jan@42296
|
366 |
\isadelimML
|
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|
367 |
%
|
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|
368 |
\endisadelimML
|
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|
369 |
%
|
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|
370 |
\isamarkupsubsubsection{get argument of X': z is the variable the equation is solved for%
|
neuper@42304
|
371 |
}
|
neuper@42304
|
372 |
\isamarkuptrue%
|
neuper@42304
|
373 |
%
|
neuper@42304
|
374 |
\begin{isamarkuptext}%
|
neuper@42304
|
375 |
grep... Atools.thy, Tools.thy contain general utilities: eval_argument_in, eval_rhs, eval_lhs,...
|
neuper@42304
|
376 |
|
neuper@42304
|
377 |
grep -r "fun eva_" ... shows all functions witch can be used in a script.
|
neuper@42304
|
378 |
lookup this files how to build and handle such functions.
|
neuper@42304
|
379 |
|
neuper@42304
|
380 |
the next section shows how to introduce such a function.%
|
neuper@42304
|
381 |
\end{isamarkuptext}%
|
neuper@42304
|
382 |
\isamarkuptrue%
|
neuper@42304
|
383 |
%
|
neuper@42304
|
384 |
\isamarkupsubsubsection{Decompose given term into lhs = rhs%
|
jan@42296
|
385 |
}
|
jan@42296
|
386 |
\isamarkuptrue%
|
jan@42296
|
387 |
%
|
jan@42296
|
388 |
\isadelimML
|
jan@42296
|
389 |
%
|
jan@42296
|
390 |
\endisadelimML
|
jan@42296
|
391 |
%
|
jan@42296
|
392 |
\isatagML
|
jan@42296
|
393 |
\isacommand{ML}\isamarkupfalse%
|
jan@42296
|
394 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
395 |
\ \ val\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}\ expr{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}dest{\isaliteral{5F}{\isacharunderscore}}eq\ fun{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\ term{\isadigit{2}}str\ expr{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
396 |
\ \ val\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}\ denom{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}dest{\isaliteral{5F}{\isacharunderscore}}bin\ {\isaliteral{22}{\isachardoublequote}}Rings{\isaliteral{2E}{\isachardot}}inverse{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}divide{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}type{\isaliteral{5F}{\isacharunderscore}}of\ expr{\isaliteral{29}{\isacharparenright}}\ expr{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
397 |
\ \ term{\isadigit{2}}str\ denom\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{2}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
jan@42296
|
398 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
jan@42296
|
399 |
\endisatagML
|
jan@42296
|
400 |
{\isafoldML}%
|
jan@42296
|
401 |
%
|
jan@42296
|
402 |
\isadelimML
|
jan@42296
|
403 |
%
|
jan@42296
|
404 |
\endisadelimML
|
jan@42296
|
405 |
%
|
jan@42296
|
406 |
\begin{isamarkuptext}%
|
neuper@42304
|
407 |
we have rhs in the Script language, but we need a function
|
jan@42296
|
408 |
which gets the denominator of a fraction%
|
jan@42296
|
409 |
\end{isamarkuptext}%
|
jan@42296
|
410 |
\isamarkuptrue%
|
jan@42296
|
411 |
%
|
neuper@42304
|
412 |
\begin{isamarkuptext}%
|
neuper@42304
|
413 |
---------------------------begin partial fractions snip--------------------------%
|
neuper@42304
|
414 |
\end{isamarkuptext}%
|
neuper@42304
|
415 |
\isamarkuptrue%
|
neuper@42304
|
416 |
%
|
neuper@42304
|
417 |
\isamarkupsubsubsection{get the denominator out of a fraction%
|
neuper@42304
|
418 |
}
|
neuper@42304
|
419 |
\isamarkuptrue%
|
neuper@42304
|
420 |
%
|
neuper@42304
|
421 |
\begin{isamarkuptext}%
|
neuper@42304
|
422 |
get denominator should become a constant for the isabelle parser:%
|
neuper@42304
|
423 |
\end{isamarkuptext}%
|
neuper@42304
|
424 |
\isamarkuptrue%
|
neuper@42304
|
425 |
\isacommand{consts}\isamarkupfalse%
|
neuper@42304
|
426 |
\isanewline
|
neuper@42304
|
427 |
\ \ get{\isaliteral{5F}{\isacharunderscore}}denominator\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}real\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ real{\isaliteral{22}{\isachardoublequoteclose}}%
|
neuper@42304
|
428 |
\begin{isamarkuptext}%
|
neuper@42304
|
429 |
With the above definition we run into problems with parsing the Script InverseZTransform:
|
neuper@42304
|
430 |
This leads to "ambiguous parse trees" and we avoid this by shifting the definition
|
neuper@42304
|
431 |
to Rationa.thy and re-building Isac.
|
neuper@42304
|
432 |
ATTENTION: from now on Build_Inverse_Z_Transform mimics a build from scratch;
|
neuper@42304
|
433 |
it only works due to re-building Isac several times (indicated explicityl).%
|
neuper@42304
|
434 |
\end{isamarkuptext}%
|
neuper@42304
|
435 |
\isamarkuptrue%
|
neuper@42304
|
436 |
%
|
jan@42296
|
437 |
\isadelimML
|
jan@42296
|
438 |
%
|
jan@42296
|
439 |
\endisadelimML
|
jan@42296
|
440 |
%
|
jan@42296
|
441 |
\isatagML
|
jan@42296
|
442 |
\isacommand{ML}\isamarkupfalse%
|
jan@42296
|
443 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
444 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}get{\isaliteral{5F}{\isacharunderscore}}denominator\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
445 |
fun\ eval{\isaliteral{5F}{\isacharunderscore}}get{\isaliteral{5F}{\isacharunderscore}}denominator\ {\isaliteral{28}{\isacharparenleft}}thmid{\isaliteral{3A}{\isacharcolon}}string{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5F}{\isacharunderscore}}\ \isanewline
|
neuper@42304
|
446 |
\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}t\ as\ Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{24}{\isachardollar}}\isanewline
|
neuper@42304
|
447 |
\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rings{\isaliteral{2E}{\isachardot}}inverse{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}divide{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{24}{\isachardollar}}\ num\ {\isaliteral{24}{\isachardollar}}\isanewline
|
neuper@42304
|
448 |
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ denom{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}\ thy\ {\isaliteral{3D}{\isacharequal}}\ \isanewline
|
neuper@42304
|
449 |
\ \ \ \ \ \ \ \ SOME\ {\isaliteral{28}{\isacharparenleft}}mk{\isaliteral{5F}{\isacharunderscore}}thmid\ thmid\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{22}{\isachardoublequote}}\ \isanewline
|
neuper@42304
|
450 |
\ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}Print{\isaliteral{5F}{\isacharunderscore}}Mode{\isaliteral{2E}{\isachardot}}setmp\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{28}{\isacharparenleft}}Syntax{\isaliteral{2E}{\isachardot}}string{\isaliteral{5F}{\isacharunderscore}}of{\isaliteral{5F}{\isacharunderscore}}term\ {\isaliteral{28}{\isacharparenleft}}thy{\isadigit{2}}ctxt\ thy{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}\ denom{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42304
|
451 |
\ \ \ \ \ \ \ \ \ \ Trueprop\ {\isaliteral{24}{\isachardollar}}\ {\isaliteral{28}{\isacharparenleft}}mk{\isaliteral{5F}{\isacharunderscore}}equality\ {\isaliteral{28}{\isacharparenleft}}t{\isaliteral{2C}{\isacharcomma}}\ denom{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
452 |
\ \ {\isaliteral{7C}{\isacharbar}}\ eval{\isaliteral{5F}{\isacharunderscore}}get{\isaliteral{5F}{\isacharunderscore}}denominator\ {\isaliteral{5F}{\isacharunderscore}}\ {\isaliteral{5F}{\isacharunderscore}}\ {\isaliteral{5F}{\isacharunderscore}}\ {\isaliteral{5F}{\isacharunderscore}}\ {\isaliteral{3D}{\isacharequal}}\ NONE{\isaliteral{3B}{\isacharsemicolon}}\ \isanewline
|
neuper@42289
|
453 |
\isanewline
|
neuper@42304
|
454 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
455 |
\endisatagML
|
neuper@42289
|
456 |
{\isafoldML}%
|
neuper@42289
|
457 |
%
|
neuper@42289
|
458 |
\isadelimML
|
neuper@42289
|
459 |
%
|
neuper@42289
|
460 |
\endisadelimML
|
neuper@42289
|
461 |
%
|
neuper@42304
|
462 |
\begin{isamarkuptext}%
|
neuper@42304
|
463 |
tests of eval_get_denominator see test/Knowledge/rational.sml%
|
neuper@42304
|
464 |
\end{isamarkuptext}%
|
neuper@42304
|
465 |
\isamarkuptrue%
|
neuper@42304
|
466 |
%
|
neuper@42304
|
467 |
\begin{isamarkuptext}%
|
neuper@42304
|
468 |
---------------------------end partial fractions snip--------------------------%
|
neuper@42304
|
469 |
\end{isamarkuptext}%
|
neuper@42304
|
470 |
\isamarkuptrue%
|
neuper@42304
|
471 |
%
|
neuper@42289
|
472 |
\isamarkupsubsection{solve equation%
|
neuper@42289
|
473 |
}
|
neuper@42289
|
474 |
\isamarkuptrue%
|
neuper@42289
|
475 |
%
|
neuper@42289
|
476 |
\begin{isamarkuptext}%
|
neuper@42289
|
477 |
this type of equation if too general for the present program%
|
neuper@42289
|
478 |
\end{isamarkuptext}%
|
neuper@42289
|
479 |
\isamarkuptrue%
|
neuper@42289
|
480 |
%
|
neuper@42289
|
481 |
\isadelimML
|
neuper@42289
|
482 |
%
|
neuper@42289
|
483 |
\endisadelimML
|
neuper@42289
|
484 |
%
|
neuper@42289
|
485 |
\isatagML
|
neuper@42289
|
486 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
487 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
488 |
{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}\ Minisubplb{\isaliteral{2F}{\isacharslash}}{\isadigit{1}}{\isadigit{0}}{\isadigit{0}}{\isaliteral{2D}{\isacharminus}}init{\isaliteral{2D}{\isacharminus}}rootp\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}OK{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}bl{\isaliteral{2E}{\isachardot}}sml\ {\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
489 |
val\ denominator\ {\isaliteral{3D}{\isacharequal}}\ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}z{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isadigit{2}}\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}{\isaliteral{2A}{\isacharasterisk}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{8}}\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{0}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
490 |
val\ fmz\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}equality\ {\isaliteral{28}{\isacharparenleft}}z{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isadigit{2}}\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}{\isaliteral{2A}{\isacharasterisk}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{8}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{0}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}solveFor\ z{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}solutions\ L{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
491 |
val\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}univariate{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}equation{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}no{\isaliteral{5F}{\isacharunderscore}}met{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
492 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ TODO{\isaliteral{3A}{\isacharcolon}}\ ISAC\ determines\ type\ of\ eq{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
493 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
494 |
\endisatagML
|
neuper@42289
|
495 |
{\isafoldML}%
|
neuper@42289
|
496 |
%
|
neuper@42289
|
497 |
\isadelimML
|
neuper@42289
|
498 |
%
|
neuper@42289
|
499 |
\endisadelimML
|
neuper@42289
|
500 |
%
|
neuper@42289
|
501 |
\begin{isamarkuptext}%
|
neuper@42289
|
502 |
Does the Equation Match the Specification ?%
|
neuper@42289
|
503 |
\end{isamarkuptext}%
|
neuper@42289
|
504 |
\isamarkuptrue%
|
neuper@42289
|
505 |
%
|
neuper@42289
|
506 |
\isadelimML
|
neuper@42289
|
507 |
%
|
neuper@42289
|
508 |
\endisadelimML
|
neuper@42289
|
509 |
%
|
neuper@42289
|
510 |
\isatagML
|
neuper@42289
|
511 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
512 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
513 |
match{\isaliteral{5F}{\isacharunderscore}}pbl\ fmz\ {\isaliteral{28}{\isacharparenleft}}get{\isaliteral{5F}{\isacharunderscore}}pbt\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}univariate{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}equation{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
514 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
515 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
516 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}Context{\isaliteral{2E}{\isachardot}}theory{\isaliteral{5F}{\isacharunderscore}}name\ thy\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
517 |
\isanewline
|
neuper@42289
|
518 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
519 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
520 |
val\ denominator\ {\isaliteral{3D}{\isacharequal}}\ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{2}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isadigit{2}}\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{0}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
521 |
val\ fmz\ {\isaliteral{3D}{\isacharequal}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}specification{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
522 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}equality\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{2}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isadigit{2}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{0}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}equality{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
523 |
\ \ \ {\isaliteral{22}{\isachardoublequote}}solveFor\ z{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}bound\ variable{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
524 |
\ \ \ {\isaliteral{22}{\isachardoublequote}}solutions\ L{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}identifier\ for\ solution{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
525 |
\isanewline
|
neuper@42289
|
526 |
val\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\isanewline
|
neuper@42304
|
527 |
\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}abcFormula{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}degree{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}polynomial{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}univariate{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}equation{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}no{\isaliteral{5F}{\isacharunderscore}}met{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
528 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
529 |
\endisatagML
|
neuper@42289
|
530 |
{\isafoldML}%
|
neuper@42289
|
531 |
%
|
neuper@42289
|
532 |
\isadelimML
|
neuper@42289
|
533 |
%
|
neuper@42289
|
534 |
\endisadelimML
|
neuper@42289
|
535 |
%
|
neuper@42289
|
536 |
\begin{isamarkuptext}%
|
neuper@42289
|
537 |
Does the Other Equation Match the Specification ?%
|
neuper@42289
|
538 |
\end{isamarkuptext}%
|
neuper@42289
|
539 |
\isamarkuptrue%
|
neuper@42289
|
540 |
%
|
neuper@42289
|
541 |
\isadelimML
|
neuper@42289
|
542 |
%
|
neuper@42289
|
543 |
\endisadelimML
|
neuper@42289
|
544 |
%
|
neuper@42289
|
545 |
\isatagML
|
neuper@42289
|
546 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
547 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
548 |
match{\isaliteral{5F}{\isacharunderscore}}pbl\ fmz\ {\isaliteral{28}{\isacharparenleft}}get{\isaliteral{5F}{\isacharunderscore}}pbt\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}abcFormula{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}degree{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}polynomial{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}univariate{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}equation{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
549 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
550 |
\endisatagML
|
neuper@42289
|
551 |
{\isafoldML}%
|
neuper@42289
|
552 |
%
|
neuper@42289
|
553 |
\isadelimML
|
neuper@42289
|
554 |
%
|
neuper@42289
|
555 |
\endisadelimML
|
neuper@42289
|
556 |
%
|
neuper@42289
|
557 |
\begin{isamarkuptext}%
|
neuper@42289
|
558 |
Solve Equation Stepwise%
|
neuper@42289
|
559 |
\end{isamarkuptext}%
|
neuper@42289
|
560 |
\isamarkuptrue%
|
neuper@42289
|
561 |
%
|
neuper@42289
|
562 |
\isadelimML
|
neuper@42289
|
563 |
%
|
neuper@42289
|
564 |
\endisadelimML
|
neuper@42289
|
565 |
%
|
neuper@42289
|
566 |
\isatagML
|
neuper@42289
|
567 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
568 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
569 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
570 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
571 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
572 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ CalcTreeTEST\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}fmz{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
573 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
574 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
575 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
576 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
577 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
578 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
579 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
580 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
581 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
582 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
583 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ \ \ \ \ \ \ \ \ \isanewline
|
neuper@42289
|
584 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}nxt\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2C}{\isacharcomma}}Check{\isaliteral{5F}{\isacharunderscore}}elementwise\ {\isaliteral{22}{\isachardoublequote}}Assumptions{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
585 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ \ \ \ \ \ \ \ \ \isanewline
|
neuper@42289
|
586 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ f{\isadigit{2}}str\ f{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
587 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{5B}{\isacharbrackleft}}z\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}\ z\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{4}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
588 |
show{\isaliteral{5F}{\isacharunderscore}}pt\ pt{\isaliteral{3B}{\isacharsemicolon}}\ \isanewline
|
neuper@42289
|
589 |
val\ SOME\ f\ {\isaliteral{3D}{\isacharequal}}\ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}z{\isaliteral{3D}{\isacharequal}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}\ z{\isaliteral{3D}{\isacharequal}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
590 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
591 |
\endisatagML
|
neuper@42289
|
592 |
{\isafoldML}%
|
neuper@42289
|
593 |
%
|
neuper@42289
|
594 |
\isadelimML
|
neuper@42289
|
595 |
%
|
neuper@42289
|
596 |
\endisadelimML
|
neuper@42289
|
597 |
%
|
neuper@42289
|
598 |
\isamarkupsubsection{partial fraction decomposition%
|
neuper@42289
|
599 |
}
|
neuper@42289
|
600 |
\isamarkuptrue%
|
neuper@42289
|
601 |
%
|
neuper@42289
|
602 |
\isamarkupsubsubsection{solution of the equation%
|
neuper@42289
|
603 |
}
|
neuper@42289
|
604 |
\isamarkuptrue%
|
neuper@42289
|
605 |
%
|
neuper@42289
|
606 |
\isadelimML
|
neuper@42289
|
607 |
%
|
neuper@42289
|
608 |
\endisadelimML
|
neuper@42289
|
609 |
%
|
neuper@42289
|
610 |
\isatagML
|
neuper@42289
|
611 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
612 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
613 |
val\ SOME\ solutions\ {\isaliteral{3D}{\isacharequal}}\ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}z{\isaliteral{3D}{\isacharequal}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}\ z{\isaliteral{3D}{\isacharequal}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
614 |
term{\isadigit{2}}str\ solutions{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
615 |
atomty\ solutions{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
616 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
617 |
\endisatagML
|
neuper@42289
|
618 |
{\isafoldML}%
|
neuper@42289
|
619 |
%
|
neuper@42289
|
620 |
\isadelimML
|
neuper@42289
|
621 |
%
|
neuper@42289
|
622 |
\endisadelimML
|
neuper@42289
|
623 |
%
|
neuper@42289
|
624 |
\isamarkupsubsubsection{get solutions out of list%
|
neuper@42289
|
625 |
}
|
neuper@42289
|
626 |
\isamarkuptrue%
|
neuper@42289
|
627 |
%
|
neuper@42289
|
628 |
\begin{isamarkuptext}%
|
neuper@42289
|
629 |
in isac's CTP-based programming language: let$ $s_1 = NTH 1$ solutions; $s_2 = NTH 2...$%
|
neuper@42289
|
630 |
\end{isamarkuptext}%
|
neuper@42289
|
631 |
\isamarkuptrue%
|
neuper@42289
|
632 |
%
|
neuper@42289
|
633 |
\isadelimML
|
neuper@42289
|
634 |
%
|
neuper@42289
|
635 |
\endisadelimML
|
neuper@42289
|
636 |
%
|
neuper@42289
|
637 |
\isatagML
|
neuper@42289
|
638 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
639 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
640 |
val\ Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}List{\isaliteral{2E}{\isachardot}}list{\isaliteral{2E}{\isachardot}}Cons{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{24}{\isachardollar}}\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}\ {\isaliteral{24}{\isachardollar}}\ {\isaliteral{28}{\isacharparenleft}}Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}List{\isaliteral{2E}{\isachardot}}list{\isaliteral{2E}{\isachardot}}Cons{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{24}{\isachardollar}}\isanewline
|
neuper@42289
|
641 |
\ \ \ \ \ \ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}\ {\isaliteral{24}{\isachardollar}}\ Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}List{\isaliteral{2E}{\isachardot}}list{\isaliteral{2E}{\isachardot}}Nil{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ solutions{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
642 |
term{\isadigit{2}}str\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
643 |
term{\isadigit{2}}str\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
644 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
645 |
\isanewline
|
neuper@42289
|
646 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
647 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}Solutions\ as\ Denominator\ {\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{3E}{\isachargreater}}\ Denominator{\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}\ z\ {\isaliteral{2D}{\isacharminus}}\ Zeropoint{\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ Denominator{\isadigit{2}}\ {\isaliteral{3D}{\isacharequal}}\ z{\isaliteral{2D}{\isacharminus}}Zeropoint{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
648 |
val\ xx\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}dest{\isaliteral{5F}{\isacharunderscore}}eq\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
649 |
val\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}mk{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}minus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}minus{\isaliteral{22}{\isachardoublequote}}\ xx{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
650 |
val\ xx\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}dest{\isaliteral{5F}{\isacharunderscore}}eq\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
651 |
val\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}mk{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}minus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}minus{\isaliteral{22}{\isachardoublequote}}\ xx{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
652 |
term{\isadigit{2}}str\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
653 |
term{\isadigit{2}}str\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
654 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
655 |
\endisatagML
|
neuper@42289
|
656 |
{\isafoldML}%
|
neuper@42289
|
657 |
%
|
neuper@42289
|
658 |
\isadelimML
|
neuper@42289
|
659 |
%
|
neuper@42289
|
660 |
\endisadelimML
|
neuper@42289
|
661 |
%
|
neuper@42289
|
662 |
\isamarkupsubsubsection{build expression%
|
neuper@42289
|
663 |
}
|
neuper@42289
|
664 |
\isamarkuptrue%
|
neuper@42289
|
665 |
%
|
neuper@42289
|
666 |
\begin{isamarkuptext}%
|
neuper@42289
|
667 |
in isac's CTP-based programming language: let s_1 = Take numerator / (s_1 * s_2)%
|
neuper@42289
|
668 |
\end{isamarkuptext}%
|
neuper@42289
|
669 |
\isamarkuptrue%
|
neuper@42289
|
670 |
%
|
neuper@42289
|
671 |
\isadelimML
|
neuper@42289
|
672 |
%
|
neuper@42289
|
673 |
\endisadelimML
|
neuper@42289
|
674 |
%
|
neuper@42289
|
675 |
\isatagML
|
neuper@42289
|
676 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
677 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
678 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}The\ Main\ Denominator\ is\ the\ multiplikation\ of\ the\ partial\ fraction\ denominators{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
679 |
val\ denominator{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}mk{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}times{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}times{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}\ s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
680 |
val\ SOME\ numerator\ {\isaliteral{3D}{\isacharequal}}\ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}{\isadigit{3}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
681 |
\isanewline
|
neuper@42289
|
682 |
val\ expr{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}mk{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}Rings{\isaliteral{2E}{\isachardot}}inverse{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}divide{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}numerator{\isaliteral{2C}{\isacharcomma}}\ denominator{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
683 |
term{\isadigit{2}}str\ expr{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
684 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
685 |
\endisatagML
|
neuper@42289
|
686 |
{\isafoldML}%
|
neuper@42289
|
687 |
%
|
neuper@42289
|
688 |
\isadelimML
|
neuper@42289
|
689 |
%
|
neuper@42289
|
690 |
\endisadelimML
|
neuper@42289
|
691 |
%
|
neuper@42289
|
692 |
\isamarkupsubsubsection{Ansatz - create partial fractions out of our expression%
|
neuper@42289
|
693 |
}
|
neuper@42289
|
694 |
\isamarkuptrue%
|
neuper@42289
|
695 |
%
|
neuper@42289
|
696 |
\isadelimML
|
neuper@42289
|
697 |
%
|
neuper@42289
|
698 |
\endisadelimML
|
neuper@42289
|
699 |
%
|
neuper@42289
|
700 |
\isatagML
|
neuper@42289
|
701 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
702 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}Context{\isaliteral{2E}{\isachardot}}theory{\isaliteral{5F}{\isacharunderscore}}name\ thy\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
703 |
\endisatagML
|
neuper@42289
|
704 |
{\isafoldML}%
|
neuper@42289
|
705 |
%
|
neuper@42289
|
706 |
\isadelimML
|
neuper@42289
|
707 |
%
|
neuper@42289
|
708 |
\endisadelimML
|
neuper@42289
|
709 |
\isanewline
|
neuper@42289
|
710 |
\isanewline
|
neuper@42289
|
711 |
\isacommand{axiomatization}\isamarkupfalse%
|
neuper@42289
|
712 |
\ \isakeyword{where}\isanewline
|
neuper@42289
|
713 |
\ \ ansatz{\isadigit{2}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}n\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}a{\isaliteral{2A}{\isacharasterisk}}b{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ A{\isaliteral{2F}{\isacharslash}}a\ {\isaliteral{2B}{\isacharplus}}\ B{\isaliteral{2F}{\isacharslash}}{\isaliteral{28}{\isacharparenleft}}b{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}\ \isakeyword{and}\isanewline
|
neuper@42289
|
714 |
\ \ multiply{\isaliteral{5F}{\isacharunderscore}}eq{\isadigit{2}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}n\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}a{\isaliteral{2A}{\isacharasterisk}}b{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ A{\isaliteral{2F}{\isacharslash}}a\ {\isaliteral{2B}{\isacharplus}}\ B{\isaliteral{2F}{\isacharslash}}b{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}a{\isaliteral{2A}{\isacharasterisk}}b{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}n\ \ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}a{\isaliteral{2A}{\isacharasterisk}}b{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2A}{\isacharasterisk}}b{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}A{\isaliteral{2F}{\isacharslash}}a\ {\isaliteral{2B}{\isacharplus}}\ B{\isaliteral{2F}{\isacharslash}}b{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
neuper@42289
|
715 |
%
|
neuper@42289
|
716 |
\isadelimML
|
neuper@42289
|
717 |
\isanewline
|
neuper@42289
|
718 |
%
|
neuper@42289
|
719 |
\endisadelimML
|
neuper@42289
|
720 |
%
|
neuper@42289
|
721 |
\isatagML
|
neuper@42289
|
722 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
723 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
724 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}we\ use\ our\ ansatz{\isadigit{2}}\ to\ rewrite\ our\ expression\ and\ get\ an\ equilation\ with\ our\ expression\ on\ the\ left\ and\ the\ partial\ fractions\ of\ it\ on\ the\ right\ side{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
725 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}t{\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
726 |
\isaantiq
|
neuper@42289
|
727 |
theory\ Isac{}%
|
neuper@42289
|
728 |
\endisaantiq
|
neuper@42289
|
729 |
\ e{\isaliteral{5F}{\isacharunderscore}}rew{\isaliteral{5F}{\isacharunderscore}}ord\ e{\isaliteral{5F}{\isacharunderscore}}rls\ false\ %
|
neuper@42289
|
730 |
\isaantiq
|
neuper@42289
|
731 |
thm\ ansatz{\isadigit{2}}{}%
|
neuper@42289
|
732 |
\endisaantiq
|
neuper@42289
|
733 |
\ expr{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
734 |
term{\isadigit{2}}str\ t{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\ atomty\ t{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
735 |
val\ eq{\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}mk{\isaliteral{5F}{\isacharunderscore}}eq\ {\isaliteral{28}{\isacharparenleft}}expr{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}\ t{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
736 |
term{\isadigit{2}}str\ eq{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
737 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
738 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
739 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
740 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}eliminate\ the\ demoninators\ by\ multiplying\ the\ left\ and\ the\ right\ side\ with\ the\ main\ denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
741 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}eq{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
742 |
\isaantiq
|
neuper@42289
|
743 |
theory\ Isac{}%
|
neuper@42289
|
744 |
\endisaantiq
|
neuper@42289
|
745 |
\ e{\isaliteral{5F}{\isacharunderscore}}rew{\isaliteral{5F}{\isacharunderscore}}ord\ e{\isaliteral{5F}{\isacharunderscore}}rls\ false\ %
|
neuper@42289
|
746 |
\isaantiq
|
neuper@42289
|
747 |
thm\ multiply{\isaliteral{5F}{\isacharunderscore}}eq{\isadigit{2}}{}%
|
neuper@42289
|
748 |
\endisaantiq
|
neuper@42289
|
749 |
\ eq{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
750 |
term{\isadigit{2}}str\ eq{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
751 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
752 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
753 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
754 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}simplificatoin{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
755 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}eq{\isadigit{3}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
756 |
\isaantiq
|
neuper@42289
|
757 |
theory\ Isac{}%
|
neuper@42289
|
758 |
\endisaantiq
|
neuper@42289
|
759 |
\ false\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ eq{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
760 |
term{\isadigit{2}}str\ eq{\isadigit{3}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{3F}{\isacharquery}}A\ {\isaliteral{3F}{\isacharquery}}B\ not\ simplified{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
761 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
762 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
763 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
764 |
val\ SOME\ fract{\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}\isanewline
|
neuper@42289
|
765 |
\ \ parseNEW\ ctxt\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{2}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{4}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}A\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{2}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2B}{\isacharplus}}\ B\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{4}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}A\ B\ {\isaliteral{21}{\isacharbang}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
766 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}fract{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
767 |
\isaantiq
|
neuper@42289
|
768 |
theory\ Isac{}%
|
neuper@42289
|
769 |
\endisaantiq
|
neuper@42289
|
770 |
\ false\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ fract{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
771 |
term{\isadigit{2}}str\ fract{\isadigit{2}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}A\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{2}}\ {\isaliteral{2A}{\isacharasterisk}}\ B\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{4}}\ {\isaliteral{2A}{\isacharasterisk}}\ A\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{4}}\ {\isaliteral{2A}{\isacharasterisk}}\ B\ {\isaliteral{2A}{\isacharasterisk}}\ z{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{4}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
772 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}term{\isadigit{2}}str\ fract{\isadigit{2}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}A\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{4}}\ {\isaliteral{2B}{\isacharplus}}\ z{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2B}{\isacharplus}}\ B\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{2}}\ {\isaliteral{2B}{\isacharplus}}\ z{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}\ would\ be\ more\ traditional{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
773 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
774 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
775 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
776 |
val\ {\isaliteral{28}{\isacharparenleft}}numerator{\isaliteral{2C}{\isacharcomma}}\ denominator{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}dest{\isaliteral{5F}{\isacharunderscore}}eq\ eq{\isadigit{3}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
777 |
val\ eq{\isadigit{3}}{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ HOLogic{\isaliteral{2E}{\isachardot}}mk{\isaliteral{5F}{\isacharunderscore}}eq\ {\isaliteral{28}{\isacharparenleft}}numerator{\isaliteral{2C}{\isacharcomma}}\ fract{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}A\ B\ {\isaliteral{21}{\isacharbang}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
778 |
term{\isadigit{2}}str\ eq{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
779 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}MANDATORY{\isaliteral{3A}{\isacharcolon}}\ simplify\ {\isaliteral{28}{\isacharparenleft}}and\ remove\ denominator{\isaliteral{29}{\isacharparenright}}\ otherwise\ {\isadigit{3}}\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{0}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
780 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}eq{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{27}{\isacharprime}}\ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
781 |
\isaantiq
|
neuper@42289
|
782 |
theory\ Isac{}%
|
neuper@42289
|
783 |
\endisaantiq
|
neuper@42289
|
784 |
\ false\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ eq{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
785 |
term{\isadigit{2}}str\ eq{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
786 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
787 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
788 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}Context{\isaliteral{2E}{\isachardot}}theory{\isaliteral{5F}{\isacharunderscore}}name\ thy\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
789 |
\endisatagML
|
neuper@42289
|
790 |
{\isafoldML}%
|
neuper@42289
|
791 |
%
|
neuper@42289
|
792 |
\isadelimML
|
neuper@42289
|
793 |
%
|
neuper@42289
|
794 |
\endisadelimML
|
neuper@42289
|
795 |
%
|
neuper@42289
|
796 |
\isamarkupsubsubsection{get first koeffizient%
|
neuper@42289
|
797 |
}
|
neuper@42289
|
798 |
\isamarkuptrue%
|
neuper@42289
|
799 |
%
|
neuper@42289
|
800 |
\isadelimML
|
neuper@42289
|
801 |
%
|
neuper@42289
|
802 |
\endisadelimML
|
neuper@42289
|
803 |
%
|
neuper@42289
|
804 |
\isatagML
|
neuper@42289
|
805 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
806 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
807 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}substitude\ z\ with\ the\ first\ zeropoint\ to\ get\ A{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
808 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}eq{\isadigit{4}}{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}terms{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
809 |
\isaantiq
|
neuper@42289
|
810 |
theory\ Isac{}%
|
neuper@42289
|
811 |
\endisaantiq
|
neuper@42289
|
812 |
\ e{\isaliteral{5F}{\isacharunderscore}}rew{\isaliteral{5F}{\isacharunderscore}}ord\ e{\isaliteral{5F}{\isacharunderscore}}rls\ {\isaliteral{5B}{\isacharbrackleft}}s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}\ eq{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
813 |
term{\isadigit{2}}str\ eq{\isadigit{4}}{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
814 |
\isanewline
|
neuper@42289
|
815 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}eq{\isadigit{4}}{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
816 |
\isaantiq
|
neuper@42289
|
817 |
theory\ Isac{}%
|
neuper@42289
|
818 |
\endisaantiq
|
neuper@42289
|
819 |
\ false\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ eq{\isadigit{4}}{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
820 |
term{\isadigit{2}}str\ eq{\isadigit{4}}{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
821 |
\isanewline
|
neuper@42289
|
822 |
val\ fmz\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}equality\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{3}}\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{3}}\ {\isaliteral{2A}{\isacharasterisk}}\ A\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{4}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}solveFor\ A{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}solutions\ L{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
823 |
val\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}univariate{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}equation{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}no{\isaliteral{5F}{\isacharunderscore}}met{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
824 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}solve\ the\ simple\ linear\ equilation\ for\ A\ TODO{\isaliteral{3A}{\isacharcolon}}\ return\ eq{\isaliteral{2C}{\isacharcomma}}\ not\ list\ of\ eq{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
825 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ CalcTreeTEST\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}fmz{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
826 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
827 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
828 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
829 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
830 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
831 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
832 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
833 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
834 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
835 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
836 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
837 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
838 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
839 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
840 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
841 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
842 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
843 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
844 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
845 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
846 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
847 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
848 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
849 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
850 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
851 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
852 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fa{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ \isanewline
|
neuper@42289
|
853 |
f{\isadigit{2}}str\ fa{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
854 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
855 |
\endisatagML
|
neuper@42289
|
856 |
{\isafoldML}%
|
neuper@42289
|
857 |
%
|
neuper@42289
|
858 |
\isadelimML
|
neuper@42289
|
859 |
%
|
neuper@42289
|
860 |
\endisadelimML
|
neuper@42289
|
861 |
%
|
neuper@42289
|
862 |
\isamarkupsubsubsection{get second koeffizient%
|
neuper@42289
|
863 |
}
|
neuper@42289
|
864 |
\isamarkuptrue%
|
neuper@42289
|
865 |
%
|
neuper@42289
|
866 |
\isadelimML
|
neuper@42289
|
867 |
%
|
neuper@42289
|
868 |
\endisadelimML
|
neuper@42289
|
869 |
%
|
neuper@42289
|
870 |
\isatagML
|
neuper@42289
|
871 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
872 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}thy{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
873 |
\isanewline
|
neuper@42289
|
874 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
875 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
876 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}substitude\ z\ with\ the\ second\ zeropoint\ to\ get\ B{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
877 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}eq{\isadigit{4}}b{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}terms{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
878 |
\isaantiq
|
neuper@42289
|
879 |
theory\ Isac{}%
|
neuper@42289
|
880 |
\endisaantiq
|
neuper@42289
|
881 |
\ e{\isaliteral{5F}{\isacharunderscore}}rew{\isaliteral{5F}{\isacharunderscore}}ord\ e{\isaliteral{5F}{\isacharunderscore}}rls\ {\isaliteral{5B}{\isacharbrackleft}}s{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{5D}{\isacharbrackright}}\ eq{\isadigit{3}}{\isaliteral{27}{\isacharprime}}{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
882 |
term{\isadigit{2}}str\ eq{\isadigit{4}}b{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
883 |
\isanewline
|
neuper@42289
|
884 |
val\ SOME\ {\isaliteral{28}{\isacharparenleft}}eq{\isadigit{4}}b{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rewrite{\isaliteral{5F}{\isacharunderscore}}set{\isaliteral{5F}{\isacharunderscore}}\ %
|
neuper@42289
|
885 |
\isaantiq
|
neuper@42289
|
886 |
theory\ Isac{}%
|
neuper@42289
|
887 |
\endisaantiq
|
neuper@42289
|
888 |
\ false\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ eq{\isadigit{4}}b{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
889 |
term{\isadigit{2}}str\ eq{\isadigit{4}}b{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
890 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
891 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
892 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
893 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}solve\ the\ simple\ linear\ equilation\ for\ B\ TODO{\isaliteral{3A}{\isacharcolon}}\ return\ eq{\isaliteral{2C}{\isacharcomma}}\ not\ list\ of\ eq{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
894 |
val\ fmz\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}equality\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{3}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{3}}\ {\isaliteral{2A}{\isacharasterisk}}\ B\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{4}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}solveFor\ B{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}solutions\ L{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
895 |
val\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}univariate{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}equation{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}no{\isaliteral{5F}{\isacharunderscore}}met{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
896 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ CalcTreeTEST\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}fmz{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
897 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
898 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
899 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
900 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
901 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
902 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
903 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
904 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
905 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
906 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
907 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
908 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
909 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
910 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
911 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
912 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
913 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
914 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
915 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
916 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
917 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
918 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
919 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
920 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
921 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
922 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
923 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}fb{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ \isanewline
|
neuper@42289
|
924 |
f{\isadigit{2}}str\ fb{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
925 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
926 |
\isanewline
|
neuper@42289
|
927 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
928 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}check\ koeffizients{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
929 |
if\ f{\isadigit{2}}str\ fa\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}A\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{4}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}\ then\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{29}{\isacharparenright}}\ else\ error\ {\isaliteral{22}{\isachardoublequote}}part{\isaliteral{2E}{\isachardot}}fract{\isaliteral{2E}{\isachardot}}\ eq{\isadigit{4}}{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
930 |
if\ f{\isadigit{2}}str\ fb\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}B\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{4}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}\ then\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{29}{\isacharparenright}}\ else\ error\ {\isaliteral{22}{\isachardoublequote}}part{\isaliteral{2E}{\isachardot}}fract{\isaliteral{2E}{\isachardot}}\ eq{\isadigit{4}}{\isaliteral{5F}{\isacharunderscore}}{\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
931 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
932 |
\endisatagML
|
neuper@42289
|
933 |
{\isafoldML}%
|
neuper@42289
|
934 |
%
|
neuper@42289
|
935 |
\isadelimML
|
neuper@42289
|
936 |
%
|
neuper@42289
|
937 |
\endisadelimML
|
neuper@42289
|
938 |
%
|
neuper@42289
|
939 |
\isamarkupsubsubsection{substitute expression with solutions%
|
neuper@42289
|
940 |
}
|
neuper@42289
|
941 |
\isamarkuptrue%
|
neuper@42289
|
942 |
%
|
neuper@42289
|
943 |
\isadelimML
|
neuper@42289
|
944 |
%
|
neuper@42289
|
945 |
\endisadelimML
|
neuper@42289
|
946 |
%
|
neuper@42289
|
947 |
\isatagML
|
neuper@42289
|
948 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
949 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
950 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
951 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
952 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}thy{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
953 |
\endisatagML
|
neuper@42289
|
954 |
{\isafoldML}%
|
neuper@42289
|
955 |
%
|
neuper@42289
|
956 |
\isadelimML
|
neuper@42289
|
957 |
%
|
neuper@42289
|
958 |
\endisadelimML
|
neuper@42289
|
959 |
%
|
jan@42296
|
960 |
\isamarkupsection{Implement the Specification and the Method \label{spec-meth}%
|
neuper@42289
|
961 |
}
|
neuper@42289
|
962 |
\isamarkuptrue%
|
neuper@42289
|
963 |
%
|
neuper@42289
|
964 |
\begin{isamarkuptext}%
|
neuper@42289
|
965 |
==============================================%
|
neuper@42289
|
966 |
\end{isamarkuptext}%
|
neuper@42289
|
967 |
\isamarkuptrue%
|
neuper@42289
|
968 |
%
|
neuper@42289
|
969 |
\isamarkupsubsection{Define the Field Descriptions for the specification%
|
neuper@42289
|
970 |
}
|
neuper@42289
|
971 |
\isamarkuptrue%
|
neuper@42289
|
972 |
\isacommand{consts}\isamarkupfalse%
|
neuper@42289
|
973 |
\isanewline
|
neuper@42289
|
974 |
\ \ filterExpression\ \ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}bool\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ una{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
neuper@42289
|
975 |
\ \ stepResponse\ \ \ \ \ \ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}bool\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ una{\isaliteral{22}{\isachardoublequoteclose}}%
|
neuper@42289
|
976 |
\isamarkupsubsection{Define the Specification%
|
neuper@42289
|
977 |
}
|
neuper@42289
|
978 |
\isamarkuptrue%
|
neuper@42289
|
979 |
%
|
neuper@42289
|
980 |
\isadelimML
|
neuper@42289
|
981 |
%
|
neuper@42289
|
982 |
\endisadelimML
|
neuper@42289
|
983 |
%
|
neuper@42289
|
984 |
\isatagML
|
neuper@42289
|
985 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
986 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
987 |
store{\isaliteral{5F}{\isacharunderscore}}pbt\isanewline
|
neuper@42289
|
988 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}pbt\ thy\ {\isaliteral{22}{\isachardoublequote}}pbl{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}pblID\isanewline
|
neuper@42289
|
989 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ NONE{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
990 |
store{\isaliteral{5F}{\isacharunderscore}}pbt\isanewline
|
neuper@42289
|
991 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}pbt\ thy\ {\isaliteral{22}{\isachardoublequote}}pbl{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{5F}{\isacharunderscore}}Ztrans{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}pblID\isanewline
|
neuper@42289
|
992 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ NONE{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
993 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
994 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
995 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}thy{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
996 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
997 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
998 |
store{\isaliteral{5F}{\isacharunderscore}}pbt\isanewline
|
neuper@42289
|
999 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}pbt\ thy\ {\isaliteral{22}{\isachardoublequote}}pbl{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{5F}{\isacharunderscore}}Ztrans{\isaliteral{5F}{\isacharunderscore}}inv{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}pblID\isanewline
|
neuper@42289
|
1000 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1001 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Given{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}filterExpression\ X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1002 |
\ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Find{\isaliteral{22}{\isachardoublequote}}\ \ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}stepResponse\ n{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1003 |
\ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1004 |
\ \ append{\isaliteral{5F}{\isacharunderscore}}rls\ {\isaliteral{22}{\isachardoublequote}}e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{22}{\isachardoublequote}}\ e{\isaliteral{5F}{\isacharunderscore}}rls\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}for\ preds\ in\ where{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ NONE{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1005 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1006 |
\isanewline
|
neuper@42289
|
1007 |
show{\isaliteral{5F}{\isacharunderscore}}ptyps{\isaliteral{28}{\isacharparenleft}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1008 |
get{\isaliteral{5F}{\isacharunderscore}}pbt\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1009 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1010 |
\endisatagML
|
neuper@42289
|
1011 |
{\isafoldML}%
|
neuper@42289
|
1012 |
%
|
neuper@42289
|
1013 |
\isadelimML
|
neuper@42289
|
1014 |
%
|
neuper@42289
|
1015 |
\endisadelimML
|
neuper@42289
|
1016 |
%
|
neuper@42289
|
1017 |
\isamarkupsubsection{Define Name and Signature for the Method%
|
neuper@42289
|
1018 |
}
|
neuper@42289
|
1019 |
\isamarkuptrue%
|
neuper@42289
|
1020 |
\isacommand{consts}\isamarkupfalse%
|
neuper@42289
|
1021 |
\isanewline
|
neuper@42289
|
1022 |
\ \ InverseZTransform\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5B}{\isacharbrackleft}}bool{\isaliteral{2C}{\isacharcomma}}\ bool{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{3E}{\isachargreater}}\ bool{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
neuper@42289
|
1023 |
\ \ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{28}{\isacharparenleft}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5F}{\isacharunderscore}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2F}{\isacharslash}}{\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}\ {\isadigit{9}}{\isaliteral{29}{\isacharparenright}}%
|
neuper@42289
|
1024 |
\isamarkupsubsection{Setup Parent Nodes in Hierarchy of Method%
|
neuper@42289
|
1025 |
}
|
neuper@42289
|
1026 |
\isamarkuptrue%
|
neuper@42289
|
1027 |
%
|
neuper@42289
|
1028 |
\isadelimML
|
neuper@42289
|
1029 |
%
|
neuper@42289
|
1030 |
\endisadelimML
|
neuper@42289
|
1031 |
%
|
neuper@42289
|
1032 |
\isatagML
|
neuper@42289
|
1033 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1034 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1035 |
store{\isaliteral{5F}{\isacharunderscore}}met\isanewline
|
neuper@42289
|
1036 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}met\ thy\ {\isaliteral{22}{\isachardoublequote}}met{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}metID\isanewline
|
neuper@42289
|
1037 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1038 |
\ \ \ {\isaliteral{7B}{\isacharbraceleft}}rew{\isaliteral{5F}{\isacharunderscore}}ord{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}tless{\isaliteral{5F}{\isacharunderscore}}true{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ rls{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ calc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ srls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ prls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1039 |
\ \ \ \ crls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ nrls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}empty{\isaliteral{5F}{\isacharunderscore}}script{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1040 |
store{\isaliteral{5F}{\isacharunderscore}}met\isanewline
|
neuper@42289
|
1041 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}met\ thy\ {\isaliteral{22}{\isachardoublequote}}met{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{5F}{\isacharunderscore}}Ztrans{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}metID\isanewline
|
neuper@42289
|
1042 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1043 |
\ \ \ {\isaliteral{7B}{\isacharbraceleft}}rew{\isaliteral{5F}{\isacharunderscore}}ord{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}tless{\isaliteral{5F}{\isacharunderscore}}true{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ rls{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ calc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ srls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ prls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1044 |
\ \ \ \ crls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ nrls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}empty{\isaliteral{5F}{\isacharunderscore}}script{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1045 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1046 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1047 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1048 |
store{\isaliteral{5F}{\isacharunderscore}}met\isanewline
|
neuper@42289
|
1049 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}met\ thy\ {\isaliteral{22}{\isachardoublequote}}met{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{5F}{\isacharunderscore}}Ztrans{\isaliteral{5F}{\isacharunderscore}}inv{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}metID\isanewline
|
neuper@42289
|
1050 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1051 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Given{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}filterExpression\ X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1052 |
\ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Find{\isaliteral{22}{\isachardoublequote}}\ \ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}stepResponse\ n{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1053 |
\ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1054 |
\ \ \ {\isaliteral{7B}{\isacharbraceleft}}rew{\isaliteral{5F}{\isacharunderscore}}ord{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}tless{\isaliteral{5F}{\isacharunderscore}}true{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ rls{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ calc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ srls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ prls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1055 |
\ \ \ \ crls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ nrls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1056 |
\ \ {\isaliteral{22}{\isachardoublequote}}empty{\isaliteral{5F}{\isacharunderscore}}script{\isaliteral{22}{\isachardoublequote}}\isanewline
|
neuper@42289
|
1057 |
\ {\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1058 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1059 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1060 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1061 |
store{\isaliteral{5F}{\isacharunderscore}}met\isanewline
|
neuper@42289
|
1062 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}met\ thy\ {\isaliteral{22}{\isachardoublequote}}met{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{5F}{\isacharunderscore}}Ztrans{\isaliteral{5F}{\isacharunderscore}}inv{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}metID\isanewline
|
neuper@42289
|
1063 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1064 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Given{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}filterExpression\ X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1065 |
\ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Find{\isaliteral{22}{\isachardoublequote}}\ \ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}stepResponse\ n{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1066 |
\ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1067 |
\ \ \ {\isaliteral{7B}{\isacharbraceleft}}rew{\isaliteral{5F}{\isacharunderscore}}ord{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}tless{\isaliteral{5F}{\isacharunderscore}}true{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ rls{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ calc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ srls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ prls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1068 |
\ \ \ \ crls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ nrls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1069 |
\ \ {\isaliteral{22}{\isachardoublequote}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}Xeq{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1070 |
\ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}let\ X\ {\isaliteral{3D}{\isacharequal}}\ Take\ Xeq{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1071 |
\ \ {\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X\ {\isaliteral{3D}{\isacharequal}}\ Rewrite\ ruleZY\ False\ X{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1072 |
\ \ {\isaliteral{22}{\isachardoublequote}}\ \ in\ X{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}\isanewline
|
neuper@42289
|
1073 |
\ {\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1074 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1075 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1076 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1077 |
show{\isaliteral{5F}{\isacharunderscore}}mets{\isaliteral{28}{\isacharparenleft}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1078 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1079 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1080 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1081 |
get{\isaliteral{5F}{\isacharunderscore}}met\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1082 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1083 |
\endisatagML
|
neuper@42289
|
1084 |
{\isafoldML}%
|
neuper@42289
|
1085 |
%
|
neuper@42289
|
1086 |
\isadelimML
|
neuper@42289
|
1087 |
%
|
neuper@42289
|
1088 |
\endisadelimML
|
neuper@42289
|
1089 |
%
|
jan@42296
|
1090 |
\isamarkupsection{Program in CTP-based language \label{prog-steps}%
|
neuper@42289
|
1091 |
}
|
neuper@42289
|
1092 |
\isamarkuptrue%
|
neuper@42289
|
1093 |
%
|
neuper@42289
|
1094 |
\begin{isamarkuptext}%
|
neuper@42289
|
1095 |
=================================%
|
neuper@42289
|
1096 |
\end{isamarkuptext}%
|
neuper@42289
|
1097 |
\isamarkuptrue%
|
neuper@42289
|
1098 |
%
|
neuper@42289
|
1099 |
\isamarkupsubsection{Stepwise extend Program%
|
neuper@42289
|
1100 |
}
|
neuper@42289
|
1101 |
\isamarkuptrue%
|
neuper@42289
|
1102 |
%
|
neuper@42289
|
1103 |
\isadelimML
|
neuper@42289
|
1104 |
%
|
neuper@42289
|
1105 |
\endisadelimML
|
neuper@42289
|
1106 |
%
|
neuper@42289
|
1107 |
\isatagML
|
neuper@42289
|
1108 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1109 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1110 |
val\ str\ {\isaliteral{3D}{\isacharequal}}\ \isanewline
|
neuper@42289
|
1111 |
{\isaliteral{22}{\isachardoublequote}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}Xeq{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1112 |
{\isaliteral{22}{\isachardoublequote}}\ Xeq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1113 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1114 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1115 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1116 |
val\ str\ {\isaliteral{3D}{\isacharequal}}\ \isanewline
|
neuper@42289
|
1117 |
{\isaliteral{22}{\isachardoublequote}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}Xeq{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}z{\isaliteral{29}{\isacharparenright}}\ instead\ of\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1118 |
{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}let\ X\ {\isaliteral{3D}{\isacharequal}}\ Take\ Xeq{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1119 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ Rewrite\ ruleZY\ False\ X{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}z\ {\isaliteral{2A}{\isacharasterisk}}\ denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1120 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}Rewrite{\isaliteral{5F}{\isacharunderscore}}Set\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ False{\isaliteral{29}{\isacharparenright}}\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}simplify{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1121 |
{\isaliteral{22}{\isachardoublequote}}\ \ in\ X{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1122 |
{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}NONE{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1123 |
{\isaliteral{22}{\isachardoublequote}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}Xeq{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}z{\isaliteral{29}{\isacharparenright}}\ instead\ of\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1124 |
{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}let\ X\ {\isaliteral{3D}{\isacharequal}}\ Take\ Xeq{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1125 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ Rewrite\ ruleZY\ False\ X{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}z\ {\isaliteral{2A}{\isacharasterisk}}\ denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1126 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}Rewrite{\isaliteral{5F}{\isacharunderscore}}Set\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ False{\isaliteral{29}{\isacharparenright}}\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}simplify{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1127 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}SubProblem\ {\isaliteral{28}{\isacharparenleft}}Isac{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}pqFormula{\isaliteral{2C}{\isacharcomma}}degree{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}polynomial{\isaliteral{2C}{\isacharcomma}}univariate{\isaliteral{2C}{\isacharcomma}}equation{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}no{\isaliteral{5F}{\isacharunderscore}}met{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\ \ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1128 |
\ \ \ \ {\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}BOOL\ e{\isaliteral{5F}{\isacharunderscore}}e{\isaliteral{2C}{\isacharcomma}}\ REAL\ v{\isaliteral{5F}{\isacharunderscore}}v{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1129 |
{\isaliteral{22}{\isachardoublequote}}\ \ in\ X{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1130 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1131 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1132 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1133 |
val\ str\ {\isaliteral{3D}{\isacharequal}}\ \isanewline
|
neuper@42289
|
1134 |
{\isaliteral{22}{\isachardoublequote}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}Xeq{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}z{\isaliteral{29}{\isacharparenright}}\ instead\ of\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1135 |
{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}let\ X\ {\isaliteral{3D}{\isacharequal}}\ Take\ Xeq{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1136 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ Rewrite\ ruleZY\ False\ X{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}z\ {\isaliteral{2A}{\isacharasterisk}}\ denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1137 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}Rewrite{\isaliteral{5F}{\isacharunderscore}}Set\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ False{\isaliteral{29}{\isacharparenright}}\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}simplify{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1138 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ funterm\ {\isaliteral{3D}{\isacharequal}}\ rhs\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}drop\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}\ for\ equation\ solving{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1139 |
{\isaliteral{22}{\isachardoublequote}}\ \ in\ X{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1140 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1141 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1142 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
jan@42296
|
1143 |
val\ str\ {\isaliteral{3D}{\isacharequal}}\ \isanewline
|
jan@42296
|
1144 |
{\isaliteral{22}{\isachardoublequote}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}z{\isaliteral{29}{\isacharparenright}}\ instead\ of\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
jan@42296
|
1145 |
{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}let\ X\ {\isaliteral{3D}{\isacharequal}}\ Take\ X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
jan@42296
|
1146 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ Rewrite\ ruleZY\ False\ X{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}z\ {\isaliteral{2A}{\isacharasterisk}}\ denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
jan@42296
|
1147 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}Rewrite{\isaliteral{5F}{\isacharunderscore}}Set\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ False{\isaliteral{29}{\isacharparenright}}\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}simplify{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1148 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}X{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}z{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ lhs\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42304
|
1149 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}z{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ argument{\isaliteral{5F}{\isacharunderscore}}in\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}z{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42304
|
1150 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}funterm{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rhs\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}drop\ X{\isaliteral{27}{\isacharprime}}\ z\ {\isaliteral{3D}{\isacharequal}}\ for\ equation\ solving{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1151 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}denom{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ get{\isaliteral{5F}{\isacharunderscore}}denominator\ funterm{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1152 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}equ{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}denom\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{0}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
jan@42296
|
1153 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}L{\isaliteral{5F}{\isacharunderscore}}L{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool\ list{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
jan@42296
|
1154 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}SubProblem\ {\isaliteral{28}{\isacharparenleft}}Test{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
jan@42296
|
1155 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}linear{\isaliteral{2C}{\isacharcomma}}univariate{\isaliteral{2C}{\isacharcomma}}equation{\isaliteral{2C}{\isacharcomma}}test{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
jan@42296
|
1156 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}Test{\isaliteral{2C}{\isacharcomma}}solve{\isaliteral{5F}{\isacharunderscore}}linear{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
jan@42296
|
1157 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}BOOL\ equ{\isaliteral{2C}{\isacharcomma}}\ REAL\ z{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
jan@42296
|
1158 |
{\isaliteral{22}{\isachardoublequote}}\ \ in\ X{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}\isanewline
|
jan@42296
|
1159 |
{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
jan@42296
|
1160 |
\isanewline
|
neuper@42289
|
1161 |
parse\ thy\ str{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1162 |
val\ sc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{28}{\isacharparenleft}}inst{\isaliteral{5F}{\isacharunderscore}}abs\ thy{\isaliteral{29}{\isacharparenright}}\ o\ term{\isaliteral{5F}{\isacharunderscore}}of\ o\ the\ o\ {\isaliteral{28}{\isacharparenleft}}parse\ thy{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}\ str{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1163 |
atomty\ sc{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1164 |
\isanewline
|
neuper@42304
|
1165 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42304
|
1166 |
\endisatagML
|
neuper@42304
|
1167 |
{\isafoldML}%
|
neuper@42304
|
1168 |
%
|
neuper@42304
|
1169 |
\isadelimML
|
neuper@42304
|
1170 |
%
|
neuper@42304
|
1171 |
\endisadelimML
|
neuper@42304
|
1172 |
%
|
neuper@42304
|
1173 |
\begin{isamarkuptext}%
|
neuper@42304
|
1174 |
This ruleset contains all functions that are in the script;
|
neuper@42304
|
1175 |
The evaluation of the functions is done by rewriting using this ruleset.%
|
neuper@42304
|
1176 |
\end{isamarkuptext}%
|
neuper@42304
|
1177 |
\isamarkuptrue%
|
neuper@42304
|
1178 |
%
|
neuper@42304
|
1179 |
\isadelimML
|
neuper@42304
|
1180 |
%
|
neuper@42304
|
1181 |
\endisadelimML
|
neuper@42304
|
1182 |
%
|
neuper@42304
|
1183 |
\isatagML
|
neuper@42289
|
1184 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1185 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
jan@42296
|
1186 |
val\ srls\ {\isaliteral{3D}{\isacharequal}}\ Rls\ {\isaliteral{7B}{\isacharbraceleft}}id{\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}srls{\isaliteral{5F}{\isacharunderscore}}InverseZTransform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
jan@42296
|
1187 |
\ \ preconds\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ rew{\isaliteral{5F}{\isacharunderscore}}ord\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}termlessI{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}termlessI{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
jan@42296
|
1188 |
\ \ erls\ {\isaliteral{3D}{\isacharequal}}\ append{\isaliteral{5F}{\isacharunderscore}}rls\ {\isaliteral{22}{\isachardoublequote}}erls{\isaliteral{5F}{\isacharunderscore}}in{\isaliteral{5F}{\isacharunderscore}}srls{\isaliteral{5F}{\isacharunderscore}}InverseZTransform{\isaliteral{22}{\isachardoublequote}}\ e{\isaliteral{5F}{\isacharunderscore}}rls\isanewline
|
jan@42296
|
1189 |
\ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}for\ asm\ in\ NTH{\isaliteral{5F}{\isacharunderscore}}CONS\ {\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\ Calc\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Orderings{\isaliteral{2E}{\isachardot}}ord{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}less{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}eval{\isaliteral{5F}{\isacharunderscore}}equ\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}less{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
jan@42296
|
1190 |
\ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isadigit{2}}nd\ NTH{\isaliteral{5F}{\isacharunderscore}}CONS\ pushes\ n{\isaliteral{2B}{\isacharplus}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ into\ asms{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}plus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}plus{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}add{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
jan@42296
|
1191 |
\ \ \ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
jan@42296
|
1192 |
\ \ srls\ {\isaliteral{3D}{\isacharequal}}\ Erls{\isaliteral{2C}{\isacharcomma}}\ calc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
jan@42296
|
1193 |
\ \ rules\ {\isaliteral{3D}{\isacharequal}}\isanewline
|
jan@42296
|
1194 |
\ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}Thm\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}NTH{\isaliteral{5F}{\isacharunderscore}}CONS{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
jan@42296
|
1195 |
\isaantiq
|
jan@42296
|
1196 |
thm\ NTH{\isaliteral{5F}{\isacharunderscore}}CONS{}%
|
jan@42296
|
1197 |
\endisaantiq
|
jan@42296
|
1198 |
{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
jan@42296
|
1199 |
\ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}plus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}plus{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}add{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
jan@42296
|
1200 |
\ \ \ \ \ Thm\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}NTH{\isaliteral{5F}{\isacharunderscore}}NIL{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
|
jan@42296
|
1201 |
\isaantiq
|
jan@42296
|
1202 |
thm\ NTH{\isaliteral{5F}{\isacharunderscore}}NIL{}%
|
jan@42296
|
1203 |
\endisaantiq
|
jan@42296
|
1204 |
{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
jan@42296
|
1205 |
\ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Tools{\isaliteral{2E}{\isachardot}}lhs{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}lhs{\isaliteral{22}{\isachardoublequote}}eval{\isaliteral{5F}{\isacharunderscore}}lhs{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{3C}{\isacharless}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}\ ONLY\ USED{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
jan@42296
|
1206 |
\ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Tools{\isaliteral{2E}{\isachardot}}rhs{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}rhs{\isaliteral{22}{\isachardoublequote}}eval{\isaliteral{5F}{\isacharunderscore}}rhs{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{3C}{\isacharless}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{3D}{\isacharequal}}\ ONLY\ USED{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1207 |
\ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Atools{\isaliteral{2E}{\isachardot}}argument{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}in{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}argument{\isaliteral{5F}{\isacharunderscore}}in\ {\isaliteral{22}{\isachardoublequote}}Atools{\isaliteral{2E}{\isachardot}}argument{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}in{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42304
|
1208 |
\ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42304
|
1209 |
\ \ \ \ \ \ \ eval{\isaliteral{5F}{\isacharunderscore}}get{\isaliteral{5F}{\isacharunderscore}}denominator\ {\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
jan@42296
|
1210 |
\ \ \ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
jan@42296
|
1211 |
\ \ scr\ {\isaliteral{3D}{\isacharequal}}\ EmptyScr{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1212 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1213 |
\endisatagML
|
neuper@42289
|
1214 |
{\isafoldML}%
|
neuper@42289
|
1215 |
%
|
neuper@42289
|
1216 |
\isadelimML
|
neuper@42289
|
1217 |
%
|
neuper@42289
|
1218 |
\endisadelimML
|
neuper@42289
|
1219 |
%
|
neuper@42289
|
1220 |
\isamarkupsubsection{Store Final Version of Program for Execution%
|
neuper@42289
|
1221 |
}
|
neuper@42289
|
1222 |
\isamarkuptrue%
|
neuper@42289
|
1223 |
%
|
neuper@42289
|
1224 |
\isadelimML
|
neuper@42289
|
1225 |
%
|
neuper@42289
|
1226 |
\endisadelimML
|
neuper@42289
|
1227 |
%
|
neuper@42289
|
1228 |
\isatagML
|
neuper@42289
|
1229 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1230 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1231 |
store{\isaliteral{5F}{\isacharunderscore}}met\isanewline
|
neuper@42289
|
1232 |
\ {\isaliteral{28}{\isacharparenleft}}prep{\isaliteral{5F}{\isacharunderscore}}met\ thy\ {\isaliteral{22}{\isachardoublequote}}met{\isaliteral{5F}{\isacharunderscore}}SP{\isaliteral{5F}{\isacharunderscore}}Ztrans{\isaliteral{5F}{\isacharunderscore}}inv{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ e{\isaliteral{5F}{\isacharunderscore}}metID\isanewline
|
neuper@42289
|
1233 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1234 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Given{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}filterExpression\ X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1235 |
\ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Find{\isaliteral{22}{\isachardoublequote}}\ \ {\isaliteral{2C}{\isacharcomma}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}stepResponse\ n{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1236 |
\ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
jan@42296
|
1237 |
\ \ \ {\isaliteral{7B}{\isacharbraceleft}}rew{\isaliteral{5F}{\isacharunderscore}}ord{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}tless{\isaliteral{5F}{\isacharunderscore}}true{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ rls{\isaliteral{27}{\isacharprime}}{\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ calc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ srls\ {\isaliteral{3D}{\isacharequal}}\ srls{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
jan@42296
|
1238 |
\ \ \ \ prls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1239 |
\ \ \ \ crls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{2C}{\isacharcomma}}\ nrls\ {\isaliteral{3D}{\isacharequal}}\ e{\isaliteral{5F}{\isacharunderscore}}rls{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1240 |
{\isaliteral{22}{\isachardoublequote}}Script\ InverseZTransform\ {\isaliteral{28}{\isacharparenleft}}X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}z{\isaliteral{29}{\isacharparenright}}\ instead\ of\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1241 |
{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{28}{\isacharparenleft}}let\ X\ {\isaliteral{3D}{\isacharequal}}\ Take\ X{\isaliteral{5F}{\isacharunderscore}}eq{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1242 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ Rewrite\ ruleZY\ False\ X{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}z\ {\isaliteral{2A}{\isacharasterisk}}\ denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42289
|
1243 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}Rewrite{\isaliteral{5F}{\isacharunderscore}}Set\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ False{\isaliteral{29}{\isacharparenright}}\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}simplify{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1244 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}X{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}z{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ lhs\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1245 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}zzz{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ argument{\isaliteral{5F}{\isacharunderscore}}in\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}z{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1246 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}funterm{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ rhs\ X{\isaliteral{27}{\isacharprime}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}drop\ X{\isaliteral{27}{\isacharprime}}\ z\ {\isaliteral{3D}{\isacharequal}}\ for\ equation\ solving{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1247 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}denom{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ get{\isaliteral{5F}{\isacharunderscore}}denominator\ funterm{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1248 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}equ{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}denom\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{0}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42304
|
1249 |
\isanewline
|
neuper@42304
|
1250 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}L{\isaliteral{5F}{\isacharunderscore}}L{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool\ list{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}SubProblem\ {\isaliteral{28}{\isacharparenleft}}PolyEq{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42304
|
1251 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}abcFormula{\isaliteral{2C}{\isacharcomma}}degree{\isaliteral{5F}{\isacharunderscore}}{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}polynomial{\isaliteral{2C}{\isacharcomma}}univariate{\isaliteral{2C}{\isacharcomma}}equation{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}no{\isaliteral{5F}{\isacharunderscore}}meth{\isaliteral{29}{\isacharparenright}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42304
|
1252 |
{\isaliteral{22}{\isachardoublequote}}\ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}BOOL\ equ{\isaliteral{2C}{\isacharcomma}}\ REAL\ zzz{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}\ {\isaliteral{5E}{\isacharcircum}}\isanewline
|
neuper@42289
|
1253 |
{\isaliteral{22}{\isachardoublequote}}\ \ in\ X{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}\isanewline
|
neuper@42289
|
1254 |
\ {\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1255 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1256 |
\endisatagML
|
neuper@42289
|
1257 |
{\isafoldML}%
|
neuper@42289
|
1258 |
%
|
neuper@42289
|
1259 |
\isadelimML
|
neuper@42289
|
1260 |
%
|
neuper@42289
|
1261 |
\endisadelimML
|
neuper@42289
|
1262 |
%
|
neuper@42289
|
1263 |
\isamarkupsubsection{Check the Program%
|
neuper@42289
|
1264 |
}
|
neuper@42289
|
1265 |
\isamarkuptrue%
|
neuper@42289
|
1266 |
%
|
neuper@42289
|
1267 |
\isamarkupsubsubsection{Check the formalization%
|
neuper@42289
|
1268 |
}
|
neuper@42289
|
1269 |
\isamarkuptrue%
|
neuper@42289
|
1270 |
%
|
neuper@42289
|
1271 |
\isadelimML
|
neuper@42289
|
1272 |
%
|
neuper@42289
|
1273 |
\endisadelimML
|
neuper@42289
|
1274 |
%
|
neuper@42289
|
1275 |
\isatagML
|
neuper@42289
|
1276 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1277 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1278 |
val\ fmz\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}filterExpression\ {\isaliteral{28}{\isacharparenleft}}X\ \ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{3}}\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isaliteral{28}{\isacharparenleft}}z{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1279 |
\ \ {\isaliteral{22}{\isachardoublequote}}stepResponse\ {\isaliteral{28}{\isacharparenleft}}x{\isaliteral{5B}{\isacharbrackleft}}n{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1280 |
val\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1281 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1282 |
\isanewline
|
neuper@42289
|
1283 |
val\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Given{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Inverse{\isaliteral{5F}{\isacharunderscore}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{2E}{\isachardot}}filterExpression{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1284 |
\ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}HOL{\isaliteral{2E}{\isachardot}}eq{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{24}{\isachardollar}}\ {\isaliteral{5F}{\isacharunderscore}}\ {\isaliteral{24}{\isachardollar}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1285 |
\ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}{\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}Find{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ Const\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Inverse{\isaliteral{5F}{\isacharunderscore}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{2E}{\isachardot}}stepResponse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1286 |
\ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}Free\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}x{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{24}{\isachardollar}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
|
neuper@42289
|
1287 |
\ \ \ \ \ \ \ \ \ \ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ prep{\isaliteral{5F}{\isacharunderscore}}ori\ fmz\ thy\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{23}{\isacharhash}}ppc\ o\ get{\isaliteral{5F}{\isacharunderscore}}pbt{\isaliteral{29}{\isacharparenright}}\ pI{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
jan@42296
|
1288 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
jan@42296
|
1289 |
\isacommand{ML}\isamarkupfalse%
|
jan@42296
|
1290 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
jan@42296
|
1291 |
val\ Script\ sc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{23}{\isacharhash}}scr\ o\ get{\isaliteral{5F}{\isacharunderscore}}met{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
jan@42296
|
1292 |
atomty\ sc{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1293 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1294 |
\endisatagML
|
neuper@42289
|
1295 |
{\isafoldML}%
|
neuper@42289
|
1296 |
%
|
neuper@42289
|
1297 |
\isadelimML
|
neuper@42289
|
1298 |
%
|
neuper@42289
|
1299 |
\endisadelimML
|
neuper@42289
|
1300 |
%
|
neuper@42289
|
1301 |
\isamarkupsubsubsection{Stepwise check the program%
|
neuper@42289
|
1302 |
}
|
neuper@42289
|
1303 |
\isamarkuptrue%
|
neuper@42289
|
1304 |
%
|
neuper@42289
|
1305 |
\isadelimML
|
neuper@42289
|
1306 |
%
|
neuper@42289
|
1307 |
\endisadelimML
|
neuper@42289
|
1308 |
%
|
neuper@42289
|
1309 |
\isatagML
|
neuper@42289
|
1310 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1311 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1312 |
trace{\isaliteral{5F}{\isacharunderscore}}rewrite\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ false{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1313 |
trace{\isaliteral{5F}{\isacharunderscore}}script\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ true{\isaliteral{3B}{\isacharsemicolon}}\ print{\isaliteral{5F}{\isacharunderscore}}depth\ {\isadigit{9}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1314 |
val\ fmz\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}filterExpression\ {\isaliteral{28}{\isacharparenleft}}X\ z\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{3}}\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{4}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{2F}{\isacharslash}}{\isaliteral{28}{\isacharparenleft}}z{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1315 |
\ \ {\isaliteral{22}{\isachardoublequote}}stepResponse\ {\isaliteral{28}{\isacharparenleft}}x{\isaliteral{5B}{\isacharbrackleft}}n{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}real{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}bool{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1316 |
val\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Isac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
|
neuper@42289
|
1317 |
\ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{22}{\isachardoublequote}}SignalProcessing{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}inverse{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
jan@42296
|
1318 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ \ {\isaliteral{3D}{\isacharequal}}\ CalcTreeTEST\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}fmz{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{28}{\isacharparenleft}}dI{\isaliteral{2C}{\isacharcomma}}pI{\isaliteral{2C}{\isacharcomma}}mI{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3B}{\isacharsemicolon}}\ \isanewline
|
neuper@42304
|
1319 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}Add{\isaliteral{5F}{\isacharunderscore}}Given{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1320 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}Add{\isaliteral{5F}{\isacharunderscore}}Find{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1321 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}Specify{\isaliteral{5F}{\isacharunderscore}}Theory{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1322 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}Specify{\isaliteral{5F}{\isacharunderscore}}Problem{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1323 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}Specify{\isaliteral{5F}{\isacharunderscore}}Method{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1324 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}nxt\ {\isaliteral{3D}{\isacharequal}}\ Apply{\isaliteral{5F}{\isacharunderscore}}Method{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1325 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}nxt\ {\isaliteral{3D}{\isacharequal}}\ Rewrite\ {\isaliteral{28}{\isacharparenleft}}ruleZY{\isaliteral{2C}{\isacharcomma}}\ Inverse{\isaliteral{5F}{\isacharunderscore}}Z{\isaliteral{5F}{\isacharunderscore}}Transform{\isaliteral{2E}{\isachardot}}ruleZY{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{3E}{\isachargreater}}\ X\ z\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{3}}\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{4}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ z{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}TODO\ naming{\isaliteral{21}{\isacharbang}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
neuper@42304
|
1326 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}nxt\ {\isaliteral{3D}{\isacharequal}}\ Rewrite{\isaliteral{5F}{\isacharunderscore}}Set\ norm{\isaliteral{5F}{\isacharunderscore}}Rational\ {\isaliteral{2D}{\isacharminus}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{3E}{\isachargreater}}\ X{\isaliteral{27}{\isacharprime}}\ z\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{3}}\ {\isaliteral{2F}{\isacharslash}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}z\ {\isaliteral{2D}{\isacharminus}}\ {\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{4}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ {\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}\ {\isaliteral{2F}{\isacharslash}}\ z{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1327 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1328 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1329 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1330 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1331 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1332 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1333 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}Empty{\isaliteral{5F}{\isacharunderscore}}Tac\ instead\ SubProblem{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1334 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1335 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1336 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1337 |
show{\isaliteral{5F}{\isacharunderscore}}pt\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1338 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42304
|
1339 |
\endisatagML
|
neuper@42304
|
1340 |
{\isafoldML}%
|
neuper@42304
|
1341 |
%
|
neuper@42304
|
1342 |
\isadelimML
|
neuper@42304
|
1343 |
%
|
neuper@42304
|
1344 |
\endisadelimML
|
neuper@42304
|
1345 |
%
|
neuper@42304
|
1346 |
\begin{isamarkuptext}%
|
neuper@42304
|
1347 |
Instead of nxt = Subproblem above we had Empty_Tac; search for errors:
|
neuper@42304
|
1348 |
# what shows show_pt pt; ...
|
neuper@42304
|
1349 |
(([2], Res), ?X' z = 24 / (-1 + -2 * z + 8 * z ^^^ 2))] ..calculation ok,
|
neuper@42304
|
1350 |
but no "next" step found: should be "nxt = Subproblem" ?!?
|
neuper@42304
|
1351 |
# what shows trace_script := true; we read bottom up ...
|
neuper@42304
|
1352 |
@@@ next leaf 'SubProbfrom
|
neuper@42304
|
1353 |
(PolyEq', [abcFormula, degree_2, polynomial, univariate, equation],
|
neuper@42304
|
1354 |
no_meth)
|
neuper@42304
|
1355 |
[BOOL equ, REAL z]' ---> STac 'SubProblem
|
neuper@42304
|
1356 |
(PolyEq', [abcFormula, degree_2, polynomial, univariate, equation],
|
neuper@42304
|
1357 |
no_meth)
|
neuper@42304
|
1358 |
[BOOL (-1 + -2 * z + 8 * z ^^^ 2 = 0), REAL z]'
|
neuper@42304
|
1359 |
... and see the SubProblem with correct arguments
|
neuper@42304
|
1360 |
(program text ---> STac (script tactic) with arguments evaluated.)
|
neuper@42304
|
1361 |
# do we have the right Script ...
|
neuper@42304
|
1362 |
val Script s = (#scr o get_met) ["SignalProcessing","Z_Transform","inverse"];
|
neuper@42304
|
1363 |
writeln (term2str s);
|
neuper@42304
|
1364 |
... shows the right script.
|
neuper@42304
|
1365 |
#%
|
neuper@42304
|
1366 |
\end{isamarkuptext}%
|
neuper@42304
|
1367 |
\isamarkuptrue%
|
neuper@42304
|
1368 |
%
|
neuper@42304
|
1369 |
\isadelimML
|
neuper@42304
|
1370 |
%
|
neuper@42304
|
1371 |
\endisadelimML
|
neuper@42304
|
1372 |
%
|
neuper@42304
|
1373 |
\isatagML
|
neuper@42304
|
1374 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1375 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1376 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}nxt\ {\isaliteral{3D}{\isacharequal}}\ Model{\isaliteral{5F}{\isacharunderscore}}Problem{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1377 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}equality\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{2D}{\isacharminus}}{\isadigit{2}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{2B}{\isacharplus}}\ {\isadigit{8}}\ {\isaliteral{2A}{\isacharasterisk}}\ z\ {\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}{\isaliteral{5E}{\isacharcircum}}\ {\isadigit{2}}\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{0}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1378 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1379 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1380 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1381 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}solveFor\ z{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1382 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1383 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1384 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1385 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}nxt\ {\isaliteral{3D}{\isacharequal}}\ Add{\isaliteral{5F}{\isacharunderscore}}Find{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1386 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1387 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1388 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1389 |
show{\isaliteral{5F}{\isacharunderscore}}pt\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1390 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1391 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1392 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1393 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}nxt\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}Empty{\isaliteral{5F}{\isacharunderscore}}Tac{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1394 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1395 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1396 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1397 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\ {\isaliteral{22}{\isachardoublequote}}nxt\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}Empty{\isaliteral{5F}{\isacharunderscore}}Tac\ instead\ Specify{\isaliteral{5F}{\isacharunderscore}}Theory{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1398 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42304
|
1399 |
\endisatagML
|
neuper@42304
|
1400 |
{\isafoldML}%
|
neuper@42304
|
1401 |
%
|
neuper@42304
|
1402 |
\isadelimML
|
neuper@42304
|
1403 |
%
|
neuper@42304
|
1404 |
\endisadelimML
|
neuper@42304
|
1405 |
%
|
neuper@42304
|
1406 |
\begin{isamarkuptext}%
|
neuper@42304
|
1407 |
We had "nxt = (Empty_Tac"; the search for the reason considered the following points:
|
neuper@42304
|
1408 |
# was there an error message ? NO --ok
|
neuper@42304
|
1409 |
# has "nxt = Add_Find" been inserted in pt: get_obj g_pbl pt (fst p); YES --ok
|
neuper@42304
|
1410 |
# what is the returned "formula": print_depth 999; f; print_depth 999; --
|
neuper@42304
|
1411 |
{Find = [Correct "solutions z_i"], With = [],
|
neuper@42304
|
1412 |
Given = [Correct "equality (-1 + -2 * z + 8 * z ^^^ 2 = 0)", Correct "solveFor z"],
|
neuper@42304
|
1413 |
Where = [False "matches (z = 0) (-1 + -2 * z + 8 * z ^^^ 2 = 0) |\n
|
neuper@42304
|
1414 |
matches (?b * z = 0) (-1 + -2 * z + 8 * z ^^^ 2 = 0) |\n
|
neuper@42304
|
1415 |
matches (?a + z = 0) (-1 + -2 * z + 8 * z ^^^ 2 = 0) |\n
|
neuper@42304
|
1416 |
matches (?a + ?b * z = 0) (-1 + -2 * z + 8 * z ^^^ 2 = 0)"],
|
neuper@42304
|
1417 |
Relate = []}
|
neuper@42304
|
1418 |
-- the only False is the reason: the Where (the precondition) is False for good reasons:
|
neuper@42304
|
1419 |
the precondition seems to check for linear equations, not for the one we want to solve!
|
neuper@42304
|
1420 |
Removed this error by correcting the Script
|
neuper@42304
|
1421 |
from SubProblem (PolyEq', [linear,univariate,equation,test], [Test,solve_linear]
|
neuper@42304
|
1422 |
to SubProblem (PolyEq', [abcFormula,degree_2,polynomial,univariate,equation],
|
neuper@42304
|
1423 |
[PolyEq,solve_d2_polyeq_abc_equation]
|
neuper@42304
|
1424 |
You find the appropriate type of equation at
|
neuper@42304
|
1425 |
http://www.ist.tugraz.at/projects/isac/www/kbase/pbl/index_pbl.html
|
neuper@42304
|
1426 |
and the respective method in Knowledge/PolyEq.thy at the respective store_pbt.
|
neuper@42304
|
1427 |
Or you leave the selection of the appropriate type to isac as done in the final Script ;-))%
|
neuper@42304
|
1428 |
\end{isamarkuptext}%
|
neuper@42304
|
1429 |
\isamarkuptrue%
|
neuper@42304
|
1430 |
%
|
neuper@42304
|
1431 |
\isadelimML
|
neuper@42304
|
1432 |
%
|
neuper@42304
|
1433 |
\endisadelimML
|
neuper@42304
|
1434 |
%
|
neuper@42304
|
1435 |
\isatagML
|
neuper@42304
|
1436 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1437 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
jan@42296
|
1438 |
val\ {\isaliteral{28}{\isacharparenleft}}p{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}f{\isaliteral{2C}{\isacharcomma}}nxt{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}pt{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ me\ nxt\ p\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42304
|
1439 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42304
|
1440 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42304
|
1441 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42304
|
1442 |
\isanewline
|
neuper@42289
|
1443 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1444 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1445 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1446 |
show{\isaliteral{5F}{\isacharunderscore}}pt\ pt{\isaliteral{3B}{\isacharsemicolon}}\isanewline
|
neuper@42289
|
1447 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1448 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1449 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1450 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1451 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1452 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1453 |
\isanewline
|
neuper@42289
|
1454 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1455 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1456 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1457 |
\isanewline
|
neuper@42289
|
1458 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1459 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1460 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1461 |
\isanewline
|
neuper@42289
|
1462 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1463 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1464 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1465 |
\isanewline
|
neuper@42289
|
1466 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1467 |
\isanewline
|
neuper@42289
|
1468 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1469 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1470 |
\isanewline
|
neuper@42289
|
1471 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1472 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1473 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
jan@42296
|
1474 |
%
|
jan@42296
|
1475 |
\isaantiq
|
jan@42296
|
1476 |
theory\ Isac{}%
|
jan@42296
|
1477 |
\endisaantiq
|
neuper@42289
|
1478 |
\isanewline
|
neuper@42289
|
1479 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1480 |
\isanewline
|
neuper@42289
|
1481 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1482 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1483 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1484 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1485 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1486 |
{\isaliteral{2A7D}{\isacharverbatimclose}}\isanewline
|
neuper@42289
|
1487 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1488 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1489 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1490 |
\endisatagML
|
neuper@42289
|
1491 |
{\isafoldML}%
|
neuper@42289
|
1492 |
%
|
neuper@42289
|
1493 |
\isadelimML
|
neuper@42289
|
1494 |
%
|
neuper@42289
|
1495 |
\endisadelimML
|
neuper@42289
|
1496 |
%
|
neuper@42289
|
1497 |
\isamarkupsection{Write Tests for Crucial Details%
|
neuper@42289
|
1498 |
}
|
neuper@42289
|
1499 |
\isamarkuptrue%
|
neuper@42289
|
1500 |
%
|
neuper@42289
|
1501 |
\begin{isamarkuptext}%
|
neuper@42289
|
1502 |
===================================%
|
neuper@42289
|
1503 |
\end{isamarkuptext}%
|
neuper@42289
|
1504 |
\isamarkuptrue%
|
neuper@42289
|
1505 |
%
|
neuper@42289
|
1506 |
\isadelimML
|
neuper@42289
|
1507 |
%
|
neuper@42289
|
1508 |
\endisadelimML
|
neuper@42289
|
1509 |
%
|
neuper@42289
|
1510 |
\isatagML
|
neuper@42289
|
1511 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1512 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
neuper@42289
|
1513 |
\isanewline
|
neuper@42289
|
1514 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1515 |
\endisatagML
|
neuper@42289
|
1516 |
{\isafoldML}%
|
neuper@42289
|
1517 |
%
|
neuper@42289
|
1518 |
\isadelimML
|
neuper@42289
|
1519 |
%
|
neuper@42289
|
1520 |
\endisadelimML
|
neuper@42289
|
1521 |
%
|
neuper@42289
|
1522 |
\isamarkupsection{Integrate Program into Knowledge%
|
neuper@42289
|
1523 |
}
|
neuper@42289
|
1524 |
\isamarkuptrue%
|
neuper@42289
|
1525 |
%
|
neuper@42289
|
1526 |
\isadelimML
|
neuper@42289
|
1527 |
%
|
neuper@42289
|
1528 |
\endisadelimML
|
neuper@42289
|
1529 |
%
|
neuper@42289
|
1530 |
\isatagML
|
neuper@42289
|
1531 |
\isacommand{ML}\isamarkupfalse%
|
neuper@42289
|
1532 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\isanewline
|
jan@42296
|
1533 |
%
|
jan@42296
|
1534 |
\isaantiq
|
jan@42296
|
1535 |
theory\ Isac{}%
|
jan@42296
|
1536 |
\endisaantiq
|
neuper@42289
|
1537 |
\isanewline
|
neuper@42289
|
1538 |
{\isaliteral{2A7D}{\isacharverbatimclose}}%
|
neuper@42289
|
1539 |
\endisatagML
|
neuper@42289
|
1540 |
{\isafoldML}%
|
neuper@42289
|
1541 |
%
|
neuper@42289
|
1542 |
\isadelimML
|
neuper@42289
|
1543 |
%
|
neuper@42289
|
1544 |
\endisadelimML
|
neuper@42289
|
1545 |
\isanewline
|
neuper@42289
|
1546 |
%
|
neuper@42289
|
1547 |
\isadelimtheory
|
neuper@42289
|
1548 |
\isanewline
|
neuper@42289
|
1549 |
%
|
neuper@42289
|
1550 |
\endisadelimtheory
|
neuper@42289
|
1551 |
%
|
neuper@42289
|
1552 |
\isatagtheory
|
neuper@42289
|
1553 |
\isacommand{end}\isamarkupfalse%
|
neuper@42289
|
1554 |
%
|
neuper@42289
|
1555 |
\endisatagtheory
|
neuper@42289
|
1556 |
{\isafoldtheory}%
|
neuper@42289
|
1557 |
%
|
neuper@42289
|
1558 |
\isadelimtheory
|
neuper@42289
|
1559 |
%
|
neuper@42289
|
1560 |
\endisadelimtheory
|
neuper@42289
|
1561 |
\isanewline
|
neuper@42289
|
1562 |
\isanewline
|
neuper@42289
|
1563 |
\end{isabellebody}%
|
neuper@42289
|
1564 |
%%% Local Variables:
|
neuper@42289
|
1565 |
%%% mode: latex
|
neuper@42289
|
1566 |
%%% TeX-master: "root"
|
neuper@42289
|
1567 |
%%% End:
|