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Diffstat (limited to 'src/interp/bc-misc.boot.pamphlet')
| -rw-r--r-- | src/interp/bc-misc.boot.pamphlet | 949 |
1 files changed, 0 insertions, 949 deletions
diff --git a/src/interp/bc-misc.boot.pamphlet b/src/interp/bc-misc.boot.pamphlet deleted file mode 100644 index 776273a1..00000000 --- a/src/interp/bc-misc.boot.pamphlet +++ /dev/null @@ -1,949 +0,0 @@ -\documentclass{article} -\usepackage{axiom} -\begin{document} -\title{\$SPAD/src/interp bc-misc.boot} -\author{The Axiom Team} -\maketitle -\begin{abstract} -\end{abstract} -\eject -\tableofcontents -\eject -\section{License} -<<license>>= --- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. --- All rights reserved. --- --- Redistribution and use in source and binary forms, with or without --- modification, are permitted provided that the following conditions are --- met: --- --- - Redistributions of source code must retain the above copyright --- notice, this list of conditions and the following disclaimer. --- --- - Redistributions in binary form must reproduce the above copyright --- notice, this list of conditions and the following disclaimer in --- the documentation and/or other materials provided with the --- distribution. --- --- - Neither the name of The Numerical ALgorithms Group Ltd. nor the --- names of its contributors may be used to endorse or promote products --- derived from this software without specific prior written permission. --- --- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS --- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED --- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A --- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER --- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, --- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, --- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR --- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF --- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING --- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS --- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. - -@ -<<*>>= -<<license>> - -import '"bc-util" -)package "BOOT" - ---Hypertex commands other than solve and matrix - -bcDrawIt2(ind,a,b) == STRCONC('"{}",ind,'"=",a,'"{}..",b,'"{}") - -bcIndefiniteIntegrate() == - htInitPage("Indefinite Integration Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em function} you would like to integrate:") - (text . "\newline\tab{2} ") - (bcStrings (45 "1/(x**2 + 6)" integrand EM)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em variable of integration}:") - (text . "\tab{37}") - (bcStrings (10 x symbol SY)) - (doneButton "Continue" bcIndefiniteIntegrateGen)) - htShowPage() - -bcIndefiniteIntegrateGen htPage == - integrand := htpLabelInputString(htPage,'integrand) - var := htpLabelInputString(htPage,'symbol) - bcGen STRCONC('"integrate(",integrand,'",",var,")") - - -bcDefiniteIntegrate() == - htInitPage("Definite Integration Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em function} you would like to integrate:") - (text . "\newline\tab{2} ") - (bcStrings (45 "1/(x**2 + 6)" integrand EM)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em variable of integration}:") - (text . "\tab{37}") - (bcStrings (10 x symbol SY)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Enter {\em lower limit}:") - (radioButtons fromButton - ("" "Minus infinity" minusInfinity) - ("" ( - (text . "A finite point:\tab{15}") - (bcStrings (10 0 from EM . bcOptional))) fromPoint)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\indent{2}\newline Enter {\em upper limit}:") - (radioButtons toButton - ("" "Plus infinity" plusInfinity) - ("" ( - (text "A finite point:\tab{15}") - (bcStrings (10 y to EM . bcOptional))) toPoint)) - (doneButton "Continue" bcDefiniteIntegrateGen)) - htShowPage() - -bcDefiniteIntegrateGen htPage == - integrand := htpLabelInputString(htPage,'integrand) - var := htpLabelInputString(htPage,'symbol) - lowerLimit := - htpButtonValue(htPage,'fromButton) = 'fromPoint => - htpLabelInputString(htPage,'from) - '"%minusInfinity" - upperLimit := - htpButtonValue(htPage,'toButton) = 'toPoint => - htpLabelInputString(htPage,'to) - '"%plusInfinity" - varpart := STRCONC(var,'" = ",lowerLimit,'"..",upperLimit) - bcGen - STRCONC('"integrate(",integrand,'",",varpart,'")") - -bcSum() == - htInitPage("Sum Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em function} you would like to sum:") - (text . "\newline\tab{2} ") - (bcStrings (44 "i**3" summand EM)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em summation index}:") - (text . "\tab{36}") - (bcStrings (10 i index SY)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the limits of the sum:") - (text . "\newline\tab{10}{\em From:}") - (bcStrings (10 1 first S)) - (text . "\tab{32}{\em To:}") - (text . "\tab{36}") - (bcStrings (10 n last S)) - (doneButton "Continue" bcSumGen)) - htShowPage() - -bcSumGen htPage == - mand := htpLabelInputString(htPage,'summand) - index := htpLabelInputString(htPage,'index) - first := htpLabelInputString(htPage,'first) - last := htpLabelInputString(htPage,'last) - bcGen STRCONC('"sum(",mand,'",",index,'" = ",first,'"..",last,'")") - -bcProduct() == - htInitPage("Product Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "Enter the {\em function} you would like to compute the product of:") - (inputStrings ("" "" 45 "i**2" mand EM)) - (text . "\vspace{1}\newline") - (inputStrings ("Enter the {\em index of the product}:" "" 5 i index SY)) - (text . "\vspace{1}\newline Enter the limits of the index:") - (inputStrings - ("\newline{\em From:}" "" 10 "1" first EM) - ("{\em To:}\space{2}" "" 10 "n" last EM)) - (doneButton "Continue" bcProductGen)) - htShowPage() - -bcProductGen htPage == - mand := htpLabelInputString(htPage,'mand) - index := htpLabelInputString(htPage,'index) - first := htpLabelInputString(htPage,'first) - last := htpLabelInputString(htPage,'last) - bcGen STRCONC('"product(",mand,'",",index,'",",first,'",",last,'")") - -bcDifferentiate() == - htInitPage("Differentiate Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em function} you want to differentiate:") - (text . "\newline\tab{2} ") - (bcStrings (55 "sin(x*y)" diffand EM)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline List the {\em variables} you want to differentiate with respect to?") - (text . "\newline\tab{2} ") - (bcStrings (55 "x y" variables S . quoteString)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline List the number of {\em times} you want to differentiate with respect to each variable (leave blank if once for each)") - (text . "\newline\tab{2} ") - (bcStrings (55 "1 2" times S . quoteString))) - htMakeDoneButton('"Continue", 'bcDifferentiateGen) - htShowPage() - -bcDifferentiateGen htPage == - mand := htpLabelInputString(htPage,'diffand) - varlist := bcString2WordList htpLabelInputString(htPage,'variables) - indexList := bcString2WordList htpLabelInputString(htPage,'times) - varpart := - #varlist > 1 => bcwords2liststring varlist - first varlist - indexpart := - null indexList => nil - null rest indexList => first indexList - #indexList = #varlist => bcwords2liststring indexList - bcError '"You must say how many times you want to differentiate with respect to each variable---or leave that entry blank" - lastPart := - indexpart => STRCONC('",",indexpart,'")") - '")" - bcGen STRCONC('"differentiate(",mand,'",",varpart,lastPart) - -bcDraw() == - htInitPage('"Draw Basic Command",nil) - bcHt '"What would you like to draw?" - bcHt '"\newline\centerline{{\em Two Dimensional Plots}}\newline" - bcHt '"\lispdownlink{A function of one variable}{(|bcDraw2Dfun|)}" - bcHt '"\space{2}y = f(x)\newline" - bcHt '"\lispdownlink{A parametrically defined curve}{(|bcDraw2Dpar|)}" - bcHt '"\space{2}(x(t), y(t))\newline" - bcHt '"\lispdownlink{A solution to a polynomial equation}{(|bcDraw2DSolve|)}" - bcHt '"\space{2} p(x,y) = 0\newline" - bcHt '"\vspace{1}\newline " - bcHt '"\centerline{{\em Three Dimensional Surfaces}}\newline\newline" - bcHt '"\lispdownlink{A function of two variables}{(|bcDraw3Dfun|)}" - bcHt '"\space{2} z = f(x,y)\newline" - bcHt '"\lispdownlink{A parametrically defined tube}{(|bcDraw3Dpar|)}" - bcHt '"\space{2}(x(t), y(t), z(t))\newline" - bcHt '"\lispdownlink{A parameterically defined surface}{(|bcDraw3Dpar1|)}" - bcHt '"\space{2}(x(u,v), y(u,v), z(u,v))\newline" - htShowPage() - - -bcDraw2Dfun() == - htInitPage('"Draw Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text - "\centerline{Drawing {\em y = f(x)}}\newline " - "\centerline{where {\em y} is the dependent variable and}\newline " - "\centerline{where {\em x} is the independent variable}\vspace{1}\newline " - "\menuitemstyle{}\tab{2}What {\em function} f would you like to draw?\newline\tab{2}") - (bcStrings (55 "x*cos(x)" function EM)) - (text . "\vspace{1}\newline\menuitemstyle{}\tab{2}Enter {\em dependent} variable:") - (bcStrings (6 y dependent SY)) - (text . "\newline\vspace{1}\newline ") - (text . "\menuitemstyle{}\tab{2}Enter {\em independent} variable and {\em range}:\newline\tab{2} ") - (text . "{\em Variable:}") - (bcStrings (6 x ind SY)) - (text . "ranges {\em from:}") - (bcStrings (9 0 from1 F)) - (text . "{\em to:}") - (bcStrings (9 30 to1 F)) - (text - "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " - "Optionally enter a {\em title} for your curve:" - ) - (bcStrings (15 "y = x*cos(x)" title S)) - (text . "\indent{0}") - (doneButton "Continue" bcDraw2DfunGen) - (text . "{}")) - htShowPage() - -bcDraw2DfunGen htPage == - fun := htpLabelInputString(htPage,'function) - dep := htpLabelInputString(htPage,'dependent) - ind := htpLabelInputString(htPage,'ind) - from1 := htpLabelInputString(htPage,'from1) - to1 := htpLabelInputString(htPage,'to1) - title := htpLabelInputString(htPage,'title) - if (title ^= '"") then - titlePart := STRCONC('"{}",'"title ==_"",title,'"_"") - bcFinish('"draw",fun,bcDrawIt2(ind,from1,to1),titlePart) - else - bcFinish('"draw",fun,bcDrawIt2(ind,from1,to1)) - - -bcDraw2Dpar() == - htInitPage('"Draw Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text - "\centerline{Drawing a parametrically defined curve:}\newline " - "\centerline{{\em ( f1(t), f2(t) )}}\newline " - "\centerline{in terms of two functions {\em f1} and {\em f2}}" - "\centerline{and an independent variable {\em t}}\vspace{1}\newline" - "\menuitemstyle{}\tab{2}Enter the two {\em functions:}") - (text . "\newline\tab{2}{\em Function 1:}") - (bcStrings (44 "-9*sin(4*t/5)" function1 EM)) - (text . "\newline\tab{2}{\em Function 2:}") - (bcStrings (44 "8*sin(t)" function2 EM)) - (text ."\vspace{1}\newline\menuitemstyle{}\tab{2}Enter {\em independent} variable and range:\newline\tab{2} ") - (text . "{\em Variable:}") - (bcStrings (6 t ind SY)) - (text . "ranges {\em from:}") - (bcStrings (9 "-5*\%pi" from1 F)) - (text . "{\em to:}") - (bcStrings (9 "5*\%pi" to1 F)) - (text - "\vspace{1}\newline\menuitemstyle{}\tab{2}" - "Optionally enter a {\em title} for your curve:") - (bcStrings (15 "Lissajous" title S)) - (text . "\indent{0}") - (doneButton "Continue" bcDraw2DparGen)) - htShowPage() - -bcDraw2DparGen htPage == - fun1 := htpLabelInputString(htPage,'function1) - fun2 := htpLabelInputString(htPage,'function2) - ind := htpLabelInputString(htPage,'ind) - from1 := htpLabelInputString(htPage,'from1) - to1 := htpLabelInputString(htPage,'to1) - title := htpLabelInputString(htPage,'title) - curvePart := STRCONC('"curve(",'"{}",fun1,'",{}",fun2,'")") - if (title ^= '"") then - titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) - bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1),titlePart) - else - bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1)) - -bcDraw2DSolve() == - htInitPage('"Draw Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text - "\centerline{Plotting the solution to {\em p(x,y) = 0}, where} " - "\centerline{{\em p} is a polynomial in two variables {\em x} and {\em y}}" - "\vspace{1}\newline\menuitemstyle{}\tab{2}Enter the {\em polynomial} p:" - "\newline\tab{2}") - (bcStrings (40 "y**2+7*x*y-(x**3+16*x)" function EM)) - (text . "\vspace{1}\newline\menuitemstyle{}\tab{2}Enter the {\em variables}:") - (text . "\newline\tab{2}{\em Variable 1:} ") - (bcStrings (4 x independent1 SY)) - (text . "ranges {\em from:}") - (bcStrings (9 -15 from1 F)) - (text . "{\em to:}") - (bcStrings (9 10 to1 F)) - (text . "\newline\tab{2}{\em Variable 2:} ") - (bcStrings (4 y independent2 SY)) - (text . "ranges {\em from:}") - (bcStrings (9 -10 from2 F)) - (text . "{\em to:}") - (bcStrings (9 50 to2 F)) - (text - "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " - "Optionally enter a {\em title} for your curve:") - (bcStrings (15 "" title S)) - (text . "\indent{0}")) - htMakeDoneButton('"Continue",'bcDraw2DSolveGen) - htShowPage() - -bcDraw2DSolveGen htPage == - fun := htpLabelInputString(htPage,'function) - ind1 := htpLabelInputString(htPage,'independent1) - from1 := htpLabelInputString(htPage,'from1) - to1 := htpLabelInputString(htPage,'to1) - ind2 := htpLabelInputString(htPage,'independent2) - from2 := htpLabelInputString(htPage,'from2) - to2 := htpLabelInputString(htPage,'to2) - title := htpLabelInputString(htPage,'title) - clipPart := STRCONC('"{}",'"range==[{}",from1,'"..",to1,",{}",from2,'"..",to2,'"]") - if (title ^= '"") then - titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) - bcFinish('"draw",STRCONC(fun,'" = 0 "),ind1,ind2,clipPart,titlePart) - else - bcFinish('"draw",STRCONC(fun,'" = 0 "),ind1,ind2,clipPart) - -bcDraw3Dfun() == - htInitPage('"Three Dimensional Draw Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text - "\centerline{Drawing {\em z = f(x,y)}}\newline " - "\centerline{where {\em z} is the dependent variable and}\newline " - "\centerline{where {\em x, y} are the independent variables}\vspace{1}\newline\menuitemstyle{}\tab{2} " - "What {\em function} f which you like to draw?\newline\tab{2}") - (bcStrings (55 "exp(cos(x-y)-sin(x*y))-2" function EM)) - (text . "\newline\menuitemstyle{}\tab{2}Enter {\em dependent} variable:") - (bcStrings (6 z dependent SY)) - (text - "\vspace{1}\newline\menuitemstyle{}\tab{2}" - "Enter {\em independent} variables and ranges:\newline\tab{2} " - "{\em Variable:}") - (bcStrings (6 x independent1 SY)) - (text . "ranges {\em from:}") - (bcStrings (9 -5 from1 F)) - (text . "{\em to:}") - (bcStrings (9 5 to1 F)) - (text . "\newline\tab{2}{\em Variable:}") - (bcStrings (6 y independent2 SY)) - (text . "ranges {\em from:}") - (bcStrings (9 -5 from2 F)) - (text . "{\em to:}") - (bcStrings (9 5 to2 F)) - (text - "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " - "Optionally enter a {\em title} for your surface:") - (bcStrings (15 "" title S)) - (text . "\indent{0}") - (doneButton "Continue" bcDraw3DfunGen)) - htShowPage() - -bcDraw3DfunGen htPage == - fun := htpLabelInputString(htPage,'function) - dep := htpLabelInputString(htPage,'dependent) - ind1 := htpLabelInputString(htPage,'independent1) - from1 := htpLabelInputString(htPage,'from1) - to1 := htpLabelInputString(htPage,'to1) - ind2 := htpLabelInputString(htPage,'independent2) - from2 := htpLabelInputString(htPage,'from2) - to2 := htpLabelInputString(htPage,'to2) - title := htpLabelInputString(htPage,'title) - if (title ^= '"") then - titlePart := (title = '"" => nil;STRCONC('"{}",'"title ==_"",title,'"_"")) - bcFinish('"draw",fun,bcDrawIt2(ind1,from1,to1),bcDrawIt2(ind2,from2,to2),titlePart) - else - bcFinish('"draw",fun,bcDrawIt2(ind1,from1,to1),bcDrawIt2(ind2,from2,to2)) - -bcDraw3Dpar() == - htInitPage('"Draw Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text - "\centerline{Drawing a parametrically defined curve:" - "{\em ( f1(t), f2(t), f3(t) )}}\newline " - "\centerline{in terms of three functions {\em f1}, {\em f2}, and {\em f3}}\newline " - "\centerline{and an independent variable {\em t}}\vspace{1}\newline\menuitemstyle{}\tab{2} " - "Enter the three {\em functions} of the independent variable:") - (text . "\newline\tab{2}{\em Function f1:}") - (bcStrings (42 "1.3*cos(2*t)*cos(4*t) + sin(4*t)*cos(t)" function1 EM)) - (text . "\newline\tab{2}{\em Function f2:}") - (bcStrings (42 "1.3*sin(2*t)*cos(4*t) - sin(4*t)*sin(t)" function2 EM)) - (text . "\newline\tab{2}{\em Function f3:}") - (bcStrings (42 "2.5*cos(4*t)" function3 EM)) - (text ."\vspace{1}\newline\menuitemstyle{}\tab{2}Enter {\em independent} variable and range:\newline\tab{2} ") - (text ."{\em Variable:}") - (bcStrings (6 t ind SY)) - (text . "ranges {\em from:}") - (bcStrings (9 0 from1 F)) - (text "{\em to:}") - (bcStrings (9 "4*\%pi" to1 F)) - (text - "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " - "Optionally enter a {\em title} for your surface:") - (bcStrings (15 "knot" title S)) - (text . "\indent{0}") - (doneButton "Continue" bcDraw3DparGen)) - htShowPage() - -bcDraw3DparGen htPage == - fun1 := htpLabelInputString(htPage,'function1) - fun2 := htpLabelInputString(htPage,'function2) - fun3 := htpLabelInputString(htPage,'function3) - ind := htpLabelInputString(htPage,'ind) - from1 := htpLabelInputString(htPage,'from1) - to1 := htpLabelInputString(htPage,'to1) - title := htpLabelInputString(htPage,'title) - curvePart := STRCONC('"curve(",'"{}",fun1,'",{}",fun2,'",{}",fun3,'")") - tubePart := '"{}tubeRadius==.25,{}tubePoints==16" - if (title ^= '"") then - titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) - bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1),tubePart,titlePart) - else - bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1),tubePart) - -bcDraw3Dpar1() == - htInitPage('"Draw Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text - "\centerline{Drawing a parametrically defined surface:}\newline " - "\centerline{{\em ( f1(u,v), f2(u,v), f3(u,v) )}}\newline " - "\centerline{in terms of three functions {\em f1}, {\em f2}, and {\em f3}}\newline " - "\centerline{and two independent variables {\em u} and {\em v}}\vspace{1}\newline\menuitemstyle{}\tab{2}" - "Enter the three {\em functions} of the independent variables:") - (text . "\newline\tab{2}") - (text . "{\em Function f1:}") - (bcStrings (43 "u*sin(v)" function1 EM)) - (text . "\newline\tab{2}") - (text . "{\em Function f2:}") - (bcStrings (43 "v*cos(u)" function2 EM)) - (text . "\newline\tab{2}") - (text . "{\em Function f3:}") - (bcStrings (43 "u*cos(v)" function3 EM)) - (text . "\newline\menuitemstyle{}\tab{2}Enter independent {\em variables} and ranges:") - (text . "\newline\tab{2}") - (text . "{\em Variable 1:}") - (bcStrings (5 u ind1 SY)) - (text . "ranges {\em from:}") - (bcStrings (9 "-\%pi" from1 F)) - (text . "{\em to:}") - (bcStrings (9 "\%pi" to1 F)) - (text . "\newline\tab{2}") - (text . "{\em Variable 2:}") - (bcStrings (5 v ind2 SY)) - (text . "ranges {\em from:}") - (bcStrings (9 "-\%pi/2" from2 F)) - (text . "{\em to:}") - (bcStrings (9 "\%pi/2" to2 F)) - (text - "\indent{0}\newline\menuitemstyle{}\tab{2} " - "Optionally enter a {\em title} for your surface:") - (bcStrings (15 "surface" title S)) - (text . "\indent{0}")) - htMakeDoneButton ('"Continue",'bcDraw3Dpar1Gen) - htShowPage() - -bcDraw3Dpar1Gen htPage == - fun1 := htpLabelInputString(htPage,'function1) - fun2 := htpLabelInputString(htPage,'function2) - fun3 := htpLabelInputString(htPage,'function3) - ind1 := htpLabelInputString(htPage,'ind1) - from1 := htpLabelInputString(htPage,'from1) - to1 := htpLabelInputString(htPage,'to1) - ind2 := htpLabelInputString(htPage,'ind2) - from2 := htpLabelInputString(htPage,'from2) - to2 := htpLabelInputString(htPage,'to2) - title := htpLabelInputString(htPage,'title) - r1 := bcDrawIt2(ind1,from1,to1) - r2 := bcDrawIt2(ind2,from2,to2) - surfacePart := STRCONC('"surface(",'"{}",fun1,'",{}",fun2,'",{}",fun3,'")") - if (title ^= '"") then - titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) - bcFinish('"draw",surfacePart,r1,r2,titlePart) - else - bcFinish('"draw",surfacePart,r1,r2) - -bcSeries() == - htInitPage('"Series Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "Create a series by: ") - (text . "\beginmenu") - (text . "\item ") - (bcLinks ("\menuitemstyle{Expansion}" "" bcSeriesExpansion NILl)) - (text . "\tab{11}Expand a function in a series around a point") - (text . "\item ") - (bcLinks ("\menuitemstyle{Formula}" "" bcSeriesByFormula NIL)) - (text . "\tab{11}Give a formula for the {\em i}'th coefficient") - (text . "\endmenu")) - htShowPage() - -bcSeriesExpansion(a,b) == - htInitPage('"Series Expansion Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain EEM (Expression $EmptyMode)) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em function} you want to expand in a power series") - (text . "\newline\tab{2} ") - (bcStrings (55 "log(cot(x))" function EM)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em power series variable}") - (text . "\tab{49}") - (bcStrings (8 x variable SY)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em point} about which you want to expand") - (text . "\tab{49}") - (bcStrings (8 "\%pi/2" point EM))) - htMakeDoneButton('"Continue",'bcSeriesExpansionGen) - htShowPage() - -bcSeriesExpansionGen htPage == - fun := htpLabelInputString(htPage,'function) - var := htpLabelInputString(htPage,'variable) - point := htpLabelInputString(htPage,'point) - terms := htpLabelInputString(htPage,'numberOfTerms) - bcFinish("series",fun,STRCONC(var,'" = ",point)) - -bcSeriesByFormula(a,b) == - htInitPage('"Power Series Basic Command",nil) - htMakePage '( - (text . "Select the kind of power series you want to create:") - (text . "\beginmenu") - (text . "\item ") - (bcLinks ("\menuitemstyle{Taylor Series}" "" bcTaylorSeries taylor)) - (text . "\newline Series where the exponent ranges over the integers from a {\em non-negative integer} value to plus infinity by an arbitrary {\em positive integer} step size") - (text . "\item ") - (bcLinks ("\menuitemstyle{Laurent Series}" "" bcLaurentSeries laurent)) - (text . "\newline Series where the exponent ranges from an arbitrary {\em integer} value to plus infinity by an arbitrary {\em positive integer} step size") - (text . "\item ") - (bcLinks ("\menuitemstyle{Puiseux Series}" "" bcPuiseuxSeries puiseux)) - (text . "\newline Series where the exponent ranges from an arbitrary {\em rational value} to plus infinity by an arbitrary {\em positive rational number} step size") - (text . "\endmenu")) - htShowPage() - -bcTaylorSeries(a,b) == - htInitPage('"Taylor Series Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain EEM (Expression $EmptyMode)) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the formula for the general coefficient of the series") - (text . "\newline\tab{2} ") - (bcStrings (55 "1/factorial(i)" formula EM)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em index variable} for your formula") - (text . "\tab{49}") - (bcStrings (8 i index SY)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em power series variable}") - (text . "\tab{49}") - (bcStrings (8 x variable SY)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em point} about which you want to expand") - (text . "\tab{49}") - (bcStrings (8 0 point EM)) - (text . "\blankline ") - (text ."For Taylor Series, the exponent of the power series variable ranges from an {\em initial value}, an arbitrary non-negative integer, to plus infinity; the {\em step size} is any positive integer.") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em initial value} of the index (an integer)") - (text . "\tab{49}") - (bcStrings (8 "0" min I)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em step size} (a positive integer)") - (text . "\tab{49}") - (bcStrings (8 "1" step PI)) - (doneButton "Continue" bcTaylorSeriesGen)) - htShowPage() - -bcSeriesByFormulaGen htPage == bcNotReady() - -bcLaurentSeries(a,b) == - htInitPage('"Laurent Series Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain EEM (Expression $EmptyMode)) - (isDomain S (String)) - (isDomain I (Integer)) - (isDomain PI (PositiveInteger)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the formula for the general coefficient of the series") - (text . "\newline\tab{2} ") - (bcStrings (55 "(-1)**(n - 1)/(n + 2)" formula EM)) - (text . "\vspace{1}\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em index variable} for your formula") - (text . "\tab{49}") - (bcStrings (8 n index SY)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em power series variable}") - (text . "\tab{49}") - (bcStrings (8 x variable SY)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em point} about which you want to expand") - (text . "\tab{49}") - (bcStrings (8 0 point F)) - (text . "\blankline") - (text . "\newline For Laurent Series, the exponent of the power series variable ranges from an {\em initial value}, an arbitrary integer value, to plus infinity; the {\em step size} is any positive integer.") - (text . "\blankline") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em initial value} of the index (an integer)") - (text . "\tab{49}") - (bcStrings (8 "-1" min I)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em step size} (a positive integer)") - (text . "\tab{49}") - (bcStrings (8 "1" step PI)) - (doneButton "Continue" bcLaurentSeriesGen)) - htShowPage() - -bcPuiseuxSeries(a,b) == - htInitPage('"Puiseux Series Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain EEM (Expression $EmptyMode)) - (isDomain S (String)) - (isDomain I (Integer)) - (isDomain PI (PositiveInteger)) - (isDOmain RN (Fraction (Integer))) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text ."Enter the {\em formula} for the general coefficient of the series") - (text . "\newline\tab{2} ") - (bcStrings(55 "(-1)**((3*n - 4)/6)/factorial(n - 1/3)" formula EM)) - (text . "\vspace{1}\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em index variable} for your formula") - (text . "\tab{49}") - (bcStrings (8 n index SY)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em power series variable}") - (text . "\tab{49}") - (bcStrings (8 x variable SY)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em point} about which you want to expand") - (text . "\tab{49}") - (bcStrings (8 0 point F)) - (text . "\blankline ") - (text . "For Puiseux Series, the exponent of the power series variable ranges from an {\em initial value}, an arbitary rational number, to plus infinity; the {\em step size} is an any positive rational number.") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em initial value} of index (a rational number)") - (text . "\tab{51}") - (bcStrings (6 "4/3" min RN)) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em step size} (a positive rational number)") - (text . "\tab{51}") - (bcStrings (6 "2" step RN)) - (doneButton "Continue" bcPuiseuxSeriesGen)) - htShowPage() - -bcTaylorSeriesGen htPage == bcSeriesGen(htPage) - -bcLaurentSeriesGen htPage == - bcSeriesGen(htPage) - -bcPuiseuxSeriesGen htPage == - bcSeriesGen(htPage) - -bcSeriesGen(htPage) == - step:= htpLabelInputString(htPage,'step) - min := htpLabelInputString(htPage,'min) - formula := htpLabelInputString(htPage,'formula) - index := htpLabelInputString(htPage,'index) - var := htpLabelInputString(htPage,'variable) - point := htpLabelInputString(htPage,'point) - varPart := STRCONC(var,'" = ",point) - minPart := STRCONC(min,'"..") - bcFinish('"series",STRCONC(index,'" +-> ",formula),varPart,minPart,step) - -bcLimit() == - htInitPage('"Limit Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain SY (Symbol))) - (text . "What kind of limit do you want to compute? ") - (text . "\blankline ") - (text . "\beginmenu") - (text . "\item ") - (bcLinks ("\menuitemstyle{A real limit?}" "" bcRealLimit real)) - (text . "\indentrel{17}\tab{0}") - (text . "The limit as the variable approaches a {\em real} value along the real axis") - (text . "\indentrel{-17}") - (text . "\item ") - (text . "\blankline ") - (bcLinks ("\menuitemstyle{A complex limit?}" "" bcComplexLimit complex)) - (text . "\indentrel{17}\tab{0}") - (text . "The limit as the variable approaches a {\em complex} value along any path in the complex plane") - (text . "\indentrel{-17}") - (text . "\endmenu") - ) - htShowPage() - -bcRealLimit(a,b) == - htInitPage('"Real Limit Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em function} you want to compute the limit of:") - (text . "\newline\tab{2} ") - (bcStrings (45 "x*sin(1/x)" expression EM)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the name of the {\em variable}: ") - (text . "\tab{41}") - (bcStrings (6 x variable SY)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Compute the limit at") - (radioButtons location - ("A finite point:" ( - (text . "\tab{33}") - (bcStrings (6 0 point F))) finitePoint) - ("Plus infinity" "" plusInfinity) - ("Minus infinity" "" minusInfinity)) - (doneButton "Continue" bcRealLimitGen)) - htShowPage() - -bcRealLimitGen htPage == - (p := htpButtonValue(htPage,'location)) ^= 'finitePoint => - fun := htpLabelInputString(htPage,'expression) - var := htpLabelInputString(htPage,'variable) - loc := - p = 'plusInfinity => '"%plusInfinity" - '"%minusInfinity" - bcFinish('"limit",fun,STRCONC(var,'" = ",loc)) - page := htInitPage('"Real Limit Basic Command",nil) - htMakePage '( - (text . "Compute the limit") - (lispLinks - ("\menuitemstyle{From both directions}" "" bcRealLimitGen1 both) - ("\menuitemstyle{From the right}" "" bcRealLimitGen1 right) - ("\menuitemstyle{From the left}" "" bcRealLimitGen1 left))) - htpSetProperty(page,'fun,htpLabelInputString(htPage,'expression)) - htpSetProperty(page,'var,htpLabelInputString(htPage,'variable)) - htpSetProperty(page,'loc,htpLabelInputString(htPage,'point)) - htShowPage() - -bcRealLimitGen1(htPage,key) == - direction := - key = 'right => '"_"right_"" - key = 'left => '"_"left_"" - nil - fun := htpProperty(htPage,'fun) - var := htpProperty(htPage,'var) - loc := htpProperty(htPage,'loc) - varPart := STRCONC(var,'" = ",loc) - bcFinish('"limit",fun,varPart,direction) - -bcComplexLimit(a,b) == - htInitPage('"Complex Limit Basic Command",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain SY (Symbol))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the {\em function} you want to compute the limit of:") - (text . "\newline\tab{2} ") - (bcStrings (40 "sin(a*x)/tan(b*x)" expression EM)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the name of the {\em variable}: ") - (text . "\tab{37}") - (bcStrings (5 x variable SY)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Compute the limit at") - (radioButtons location - ("A finite point:" ( - (text . "\newline\space{0}Real part:\space{3}") - (bcStrings (20 0 real F)) - (text . "\newline Complex part:") - (bcStrings (20 0 complex F))) finitePoint) - ("Complex infinity" "" complexInfinity)) - (doneButton "Continue" bcComplexLimitGen)) - htShowPage() - -bcComplexLimitGen htPage == - fun := htpLabelInputString(htPage,'expression) - var := htpLabelInputString(htPage,'variable) - loc := - (p := htpButtonValue(htPage,'location)) = 'finitePoint => - real := htpLabelInputString(htPage,'real) - comp := htpLabelInputString(htPage,'complex) - complexPart := - comp = '"0" => '"" - comp = '"1" => '"%i" - STRCONC(comp,'"*%i") - real = '"0" => - complexPart = '"" => "0" - complexPart - complexPart = '"" => real - STRCONC(real,'" + ",complexPart) - '"%infinity" - varPart := STRCONC(var,'" = ",loc) - bcFinish('"complexLimit",fun,varPart) - - -@ -\eject -\begin{thebibliography}{99} -\bibitem{1} nothing -\end{thebibliography} -\end{document} |