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authorKarl Berry <karl@freefriends.org>2024-01-07 21:26:22 +0000
committerKarl Berry <karl@freefriends.org>2024-01-07 21:26:22 +0000
commitde3f4265bc7c8c0a53616804c4d9e03dc39a0b47 (patch)
tree643d152e42f9917c75df7c8c5a51c4342b3e642a /Master/texmf-dist/doc/latex/exsol
parentc2206aa26a2dbe9073c92709c5351e6a1ed6270a (diff)
exsol (6jan24)
git-svn-id: svn://tug.org/texlive/trunk@69333 c570f23f-e606-0410-a88d-b1316a301751
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diff --git a/Master/texmf-dist/doc/latex/exsol/example-exercisebook.pdf b/Master/texmf-dist/doc/latex/exsol/example-exercisebook.pdf
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--- /dev/null
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@@ -0,0 +1,44 @@
+%%
+%% This is file `example-exercisebook.tex',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% exsol.dtx (with options: `exampleexc')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2019 by Walter Daems <walter.daems@uantwerpen.org>
+%%
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.3 of this license
+%% or (at your option) any later version. The latest version of this
+%% license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.3 or later is part of all distributions of LaTeX version
+%% 2005/12/01 or later.
+%%
+\documentclass[a4paper,10pt]{article}
+
+\usepackage{a4wide}
+\usepackage[english]{babel}
+\usepackage{exsol}
+
+\setlength{\parindent}{0em}
+
+\title{Exercise book, specified in the example-external of the
+ \textsf{ExSol} package}
+\author{Walter Daems}
+
+\begin{document}
+
+\maketitle
+
+\input{example-external.exc.tex}
+
+\end{document}
+\endinput
+%%
+%% End of file `example-exercisebook.tex'.
diff --git a/Master/texmf-dist/doc/latex/exsol/example-external.pdf b/Master/texmf-dist/doc/latex/exsol/example-external.pdf
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index 00000000000..9c02c7a79aa
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/exsol/example-external.tex
@@ -0,0 +1,124 @@
+%%
+%% This is file `example-external.tex',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% exsol.dtx (with options: `example-external')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2019 by Walter Daems <walter.daems@uantwerpen.org>
+%%
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.3 of this license
+%% or (at your option) any later version. The latest version of this
+%% license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.3 or later is part of all distributions of LaTeX version
+%% 2005/12/01 or later.
+%%
+\documentclass[a4paper,10pt]{article}
+
+\usepackage{a4wide}
+\usepackage[english]{babel}
+\usepackage[external]{exsol}
+
+\title{External example, from the \textsf{ExSol} package}
+\author{Walter Daems}
+\setlength{\parindent}{0em}
+\begin{document}
+\maketitle
+
+\section{Introduction}
+
+In this text we explain how to solve second-order polynomial
+equations.
+
+\section{Solving second-order polynomial equations}
+
+\begin{informulacollectiononly}
+\section*{Solving second-order polynomial equations}
+\end{informulacollectiononly}
+\begin{informulacollection}
+ The roots of the following equation
+ \begin{equation}
+ a x^2 + bx + c = 0
+ \end{equation}
+ can be determined as:
+ \begin{equation}
+ x_{1,2} = \frac{-b \pm \sqrt{b^2 - 4 a c}}{2 a}
+ \end{equation}
+\end{informulacollection}
+
+\begin{exercises}[columns = 2]
+
+ \begin{exercise}
+ Solve the following equation for $x \in C$, with $C$ the set of
+ complex numbers:
+ \begin{equation}
+ 5 x^2 -3 x = 5
+ \end{equation}
+ \end{exercise}
+ \begin{solution}
+ Let's start by rearranging the equation, a bit:
+ \begin{eqnarray}
+ 5.7 x^2 - 3.1 x &=& 5.3\\
+ 5.7 x^2 - 3.1 x -5.3 &=& 0
+ \end{eqnarray}
+ The equation is now in the standard form:
+ \begin{equation}
+ a x^2 + b x + c = 0
+ \end{equation}
+ For quadratic equations in the standard form, we know that two
+ solutions exist:
+ \begin{equation}
+ x_{1,2} = \frac{ -b \pm \sqrt{d}}{2a}
+ \end{equation}
+ with
+ \begin{equation}
+ d = b^2 - 4 a c
+ \end{equation}
+ If we apply this to our case, we obtain:
+ \begin{equation}
+ d = (-3.1)^2 - 4 \cdot 5.7 \cdot (-5.3) = 130.45
+ \end{equation}
+ and
+ \begin{eqnarray}
+ x_1 &=& \frac{3.1 + \sqrt{130.45}}{11.4} = 1.27\\
+ x_2 &=& \frac{3.1 - \sqrt{130.45}}{11.4} = -0.73
+ \end{eqnarray}
+ The proposed values $x = x_1, x_2$ are solutions to the given equation.
+ \end{solution}
+ \begin{exercise}
+ Consider a 2-dimensional vector space equipped with a Euclidean
+ distance function. Given a right-angled triangle, with the sides
+ $A$ and $B$ adjacent to the right angle having lengths, $3$ and
+ $4$, calculate the length of the hypotenuse, labeled $C$.
+ \end{exercise}
+ \begin{solution}
+ This calls for application of Pythagoras' theorem, which
+ tells us:
+ \begin{equation}
+ \left\|A\right\|^2 + \left\|B\right\|^2 = \left\|C\right\|^2
+ \end{equation}
+ and therefore:
+ \begin{eqnarray}
+ \left\|C\right\|
+ &=& \sqrt{\left\|A\right\|^2 + \left\|B\right\|^2}\\
+ &=& \sqrt{3^2 + 4^2}\\
+ &=& \sqrt{25} = 5
+ \end{eqnarray}
+ Therefore, the length of the hypotenuse equals $5$.
+ \end{solution}
+\end{exercises}
+And now, we can come to conclusion.
+
+\section{Conclusion}
+Solving second-order polynomial equations is very easy.
+\end{document}
+\endinput
+%%
+%% End of file `example-external.tex'.
diff --git a/Master/texmf-dist/doc/latex/exsol/example-formulacollection.pdf b/Master/texmf-dist/doc/latex/exsol/example-formulacollection.pdf
index 75730d35d56..965a4e2b3f2 100644
--- a/Master/texmf-dist/doc/latex/exsol/example-formulacollection.pdf
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index 00000000000..107c6f6b40a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/exsol/example-formulacollection.tex
@@ -0,0 +1,44 @@
+%%
+%% This is file `example-formulacollection.tex',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% exsol.dtx (with options: `examplefor')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2019 by Walter Daems <walter.daems@uantwerpen.org>
+%%
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.3 of this license
+%% or (at your option) any later version. The latest version of this
+%% license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.3 or later is part of all distributions of LaTeX version
+%% 2005/12/01 or later.
+%%
+\documentclass[a4paper,10pt]{article}
+
+\usepackage{a4wide}
+\usepackage[english]{babel}
+\usepackage{exsol}
+
+\setlength{\parindent}{0em}
+
+\title{Formula collection, specified in the example of the
+ \textsf{ExSol} package}
+\author{Walter Daems}
+
+\begin{document}
+
+\maketitle
+
+\input{example.fc.tex}
+
+\end{document}
+\endinput
+%%
+%% End of file `example-formulacollection.tex'.
diff --git a/Master/texmf-dist/doc/latex/exsol/example-inline.pdf b/Master/texmf-dist/doc/latex/exsol/example-inline.pdf
new file mode 100644
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new file mode 100644
index 00000000000..d6f4951ce26
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/exsol/example-inline.tex
@@ -0,0 +1,108 @@
+%%
+%% This is file `example-inline.tex',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% exsol.dtx (with options: `example-inline')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2019 by Walter Daems <walter.daems@uantwerpen.org>
+%%
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.3 of this license
+%% or (at your option) any later version. The latest version of this
+%% license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.3 or later is part of all distributions of LaTeX version
+%% 2005/12/01 or later.
+%%
+\documentclass[11pt,a4paper]{article}
+
+\usepackage[german]{babel}
+\usepackage[inline,usesolutionserieslabels]{exsol}
+\usepackage{enumitem}
+
+\setlength{\exsolexercisetopbottomsep}{0pt plus 0pt minus 1pt}
+\setlength{\exsolexerciseleftmargin}{2em}
+\setlength{\exsolexerciserightmargin}{1em}
+\setlength{\exsolexerciseparindent}{0em}
+\setlength{\exsolexerciselabelsep}{1ex}
+\setlength{\exsolexerciselabelwidth}{30pt}
+\setlength{\exsolexerciseitemindent}{0pt}
+\setlength{\exsolexerciseparsep}{\parskip}
+
+\title{Local inline example, from the \textsf{ExSol} package}
+\author{Philippe Marti}
+\setlength{\parindent}{0em}
+\begin{document}
+\maketitle
+
+\section{Gleichungssysteme und Geraden}
+
+Ein bisschen Theorie\ldots
+
+\begin{exerciseseries}[solsubrule=\hrule]{Gleichungssysteme}
+ \begin{exercise}
+ Die Summe zweier Zahlen ist 17 und ihre Differenz 7. Bestimme die
+ beiden Zahlen!
+ \end{exercise}
+ \begin{solution}
+ 5 und 12
+ \end{solution}
+
+ \begin{exercise}
+ Die Differenz einer Zahl und dem Dreifachen einer zweiten Zahl ist
+ 14. Bestimme die beiden Zahlen, falls die zweite Zahl ein Zehntel
+ der ersten ist.
+ \end{exercise}
+ \begin{solution}
+ 20 und 2
+ \end{solution}
+\end{exerciseseries}
+~\\
+Etwas mehr Theorie\ldots
+
+\begin{exerciseseries}{Geraden}
+ \begin{exercise}
+ Berechne den Schnittpunkt von \mbox{$y=3x+1$} und \mbox{$y=3x-7$}.
+ \end{exercise}
+ \begin{solution}
+ Es gibt keinen Schnittpunkt
+ \end{solution}
+
+ \begin{exercise}
+ Die Familie Meier fordert Offerten f\"ur eine Heizungsreparatur
+ ein. Firma A berechnet f\"ur die Fahrtkosten Fr. 42.- und f\"ur
+ jede Arbeitsstunde 76.-. Bei der Firma B sind die Fahrtkosten
+ Fr. 35.- und jede Arbeitsstunde wird mit Fr. 80.- berechnet.
+ \begin{enumerate}[label=\alph*)]
+ \item Welche Kosten entstehen f\"ur beide Firmen, wenn ein Monteur
+ 3.5 Stunden
+ f\"ur die Arbeit benötigt? Welche Firma ist in diesem Fall
+ kostengünstiger?
+
+ \item Wie lauten die Gleichungen derjenigen zwei linearen
+ Funktionen, die jeder Arbeitszeit $x$ (in Stunden) die
+ entstehenden Kosten $y$ (in Franken) zuordnet?
+
+ \item Berechne, bei welcher Arbeitszeit die Kosten bei beiden
+ Firmen gleich sind.
+ \end{enumerate}
+ \end{exercise}
+ \begin{solution}
+ \begin{enumerate}[label=\alph*)]
+ \item Firma A: 308.- $|$ Firma B: 315.-
+ \item A: $y=76x+42$ $|$ B: $y=80x+35$
+ \item Bei $1\frac{3}{4}$ Stunden
+ \end{enumerate}
+ \end{solution}
+\end{exerciseseries}
+
+\end{document}
+\endinput
+%%
+%% End of file `example-inline.tex'.
diff --git a/Master/texmf-dist/doc/latex/exsol/example-local.pdf b/Master/texmf-dist/doc/latex/exsol/example-local.pdf
index ddb51bed263..009b07f672b 100644
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--- /dev/null
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@@ -0,0 +1,110 @@
+%%
+%% This is file `example-local.tex',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% exsol.dtx (with options: `example-local')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2019 by Walter Daems <walter.daems@uantwerpen.org>
+%%
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.3 of this license
+%% or (at your option) any later version. The latest version of this
+%% license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.3 or later is part of all distributions of LaTeX version
+%% 2005/12/01 or later.
+%%
+\documentclass[a4paper,10pt]{article}
+
+\usepackage{a4wide}
+\usepackage[german]{babel}
+\usepackage[local,nolabels,exerciseaslist,usesolutionserieslabels]{exsol}
+\usepackage{enumitem}
+
+\setlength{\exsolexercisetopbottomsep}{0pt plus 0pt minus 1pt}
+\setlength{\exsolexerciseleftmargin}{2em}
+\setlength{\exsolexerciserightmargin}{1em}
+\setlength{\exsolexerciseparindent}{0em}
+\setlength{\exsolexerciselabelsep}{1ex}
+\setlength{\exsolexerciselabelwidth}{30pt}
+\setlength{\exsolexerciseitemindent}{0pt}
+\setlength{\exsolexerciseparsep}{\parskip}
+
+\title{Local example, from the \textsf{ExSol} package}
+\author{Philippe Marti}
+\setlength{\parindent}{0em}
+\begin{document}
+\maketitle
+
+\section{\exercisesname}
+
+\begin{exerciseseries}[columns=2,solsubrule=\hrule]{Gleichungen $|$ Gleichungssysteme}
+
+ \begin{exercise}
+ Die Summe zweier Zahlen ist 17 und ihre Differenz 7. Bestimme die
+ beiden Zahlen!
+ \end{exercise}
+ \begin{solution}
+ 5 und 12
+ \end{solution}
+
+ \begin{exercise}
+ Die Differenz einer Zahl und dem Dreifachen einer zweiten Zahl ist
+ 14. Bestimme die beiden Zahlen, falls die zweite Zahl ein Zehntel
+ der ersten ist.
+ \end{exercise}
+ \begin{solution}
+ 20 und 2
+ \end{solution}
+
+\end{exerciseseries}
+
+\begin{exerciseseries}[columns=2]{Geraden}
+ \begin{exercise}
+ Berechne den Schnittpunkt von \mbox{$y=3x+1$} und \mbox{$y=3x-7$}.
+ \end{exercise}
+ \begin{solution}
+ Es gibt keinen Schnittpunkt
+ \end{solution}
+
+ \begin{exercise}
+ Die Familie Meier fordert Offerten f\"ur eine Heizungsreparatur
+ ein. Firma A berechnet f\"ur die Fahrtkosten Fr. 42.- und f\"ur
+ jede Arbeitsstunde 76.-. Bei der Firma B sind die Fahrtkosten
+ Fr. 35.- und jede Arbeitsstunde wird mit Fr. 80.- berechnet.
+ \begin{enumerate}[label=\alph*)]
+ \item Welche Kosten entstehen f\"ur beide Firmen, wenn ein Monteur
+ 3.5 Stunden
+ f\"ur die Arbeit benötigt? Welche Firma ist in diesem Fall
+ kostengünstiger?
+
+ \item Wie lauten die Gleichungen derjenigen zwei linearen
+ Funktionen, die jeder Arbeitszeit $x$ (in Stunden) die
+ entstehenden Kosten $y$ (in Franken) zuordnet?
+
+ \item Berechne, bei welcher Arbeitszeit die Kosten bei beiden
+ Firmen gleich sind.
+ \end{enumerate}
+ \end{exercise}
+ \begin{solution}
+ \begin{enumerate}[label=\alph*)]
+ \item Firma A: 308.- $|$ Firma B: 315.-
+ \item A: $y=76x+42$ $|$ B: $y=80x+35$
+ \item Bei $1\frac{3}{4}$ Stunden
+ \end{enumerate}
+ \end{solution}
+\end{exerciseseries}
+
+\section{\solutionsname}
+\loadSolutions
+
+\end{document}
+\endinput
+%%
+%% End of file `example-local.tex'.
diff --git a/Master/texmf-dist/doc/latex/exsol/example-solutionbook.pdf b/Master/texmf-dist/doc/latex/exsol/example-solutionbook.pdf
index 58e8f1172de..6b4758989a4 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/latex/exsol/example-solutionbook.tex
@@ -0,0 +1,44 @@
+%%
+%% This is file `example-solutionbook.tex',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% exsol.dtx (with options: `examplesol')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2019 by Walter Daems <walter.daems@uantwerpen.org>
+%%
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.3 of this license
+%% or (at your option) any later version. The latest version of this
+%% license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.3 or later is part of all distributions of LaTeX version
+%% 2005/12/01 or later.
+%%
+\documentclass[a4paper,10pt]{article}
+
+\usepackage{a4wide}
+\usepackage[english]{babel}
+\usepackage{exsol}
+
+\setlength{\parindent}{0em}
+
+\title{Solutions to the exercises, specified in the example of the
+ \textsf{ExSol} package}
+\author{Walter Daems}
+
+\begin{document}
+
+\maketitle
+
+\input{example.sol.tex}
+
+\end{document}
+\endinput
+%%
+%% End of file `example-solutionbook.tex'.
diff --git a/Master/texmf-dist/doc/latex/exsol/example.pdf b/Master/texmf-dist/doc/latex/exsol/example.pdf
index c19b69c8484..47225cc0b25 100644
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new file mode 100644
index 00000000000..6766f2fe65f
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/exsol/example.tex
@@ -0,0 +1,129 @@
+%%
+%% This is file `example.tex',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% exsol.dtx (with options: `example')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2019 by Walter Daems <walter.daems@uantwerpen.org>
+%%
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.3 of this license
+%% or (at your option) any later version. The latest version of this
+%% license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.3 or later is part of all distributions of LaTeX version
+%% 2005/12/01 or later.
+%%
+\documentclass[a4paper,10pt]{article}
+
+\usepackage{a4wide}
+\usepackage[english]{babel}
+\usepackage[copyexercisesinsolutions]{exsol}
+
+\title{Gobal example, from the \textsf{ExSol} package}
+\author{Walter Daems}
+\setlength{\parindent}{0em}
+\begin{document}
+\maketitle
+
+\section{Introduction}
+
+In this text we explain how to solve second-order polynomial
+equations.
+
+\section{Solving second-order polynomial equations}
+
+\begin{informulacollectiononly}
+\section*{Solving second-order polynomial equations}
+\end{informulacollectiononly}
+\begin{informulacollection}
+ The roots of the following equation
+ \begin{equation}
+ a x^2 + bx + c = 0
+ \end{equation}
+ can be determined as:
+ \begin{equation}
+ x_{1,2} = \frac{-b \pm \sqrt{b^2 - 4 a c}}{2 a}
+ \end{equation}
+\end{informulacollection}
+
+To make sure you master calculating the roots of second-order
+equation, please solve exercise \ref{ex:1}.
+
+\begin{exercises}[columns = 2]
+
+ \begin{exercise}
+ \label{ex:1}
+ Solve the following equation for $x \in C$, with $C$ the set of
+ complex numbers:
+ \begin{equation}
+ 5 x^2 -3 x = 5
+ \end{equation}
+ \end{exercise}
+ \begin{solution}
+ Let's start by rearranging the equation, a bit:
+ \begin{eqnarray}
+ 5.7 x^2 - 3.1 x &=& 5.3\\
+ 5.7 x^2 - 3.1 x -5.3 &=& 0
+ \end{eqnarray}
+ The equation is now in the standard form:
+ \begin{equation}
+ a x^2 + b x + c = 0
+ \end{equation}
+ For quadratic equations in the standard form, we know that two
+ solutions exist:
+ \begin{equation}
+ x_{1,2} = \frac{ -b \pm \sqrt{d}}{2a}
+ \end{equation}
+ with
+ \begin{equation}
+ d = b^2 - 4 a c
+ \end{equation}
+ If we apply this to our case, we obtain:
+ \begin{equation}
+ d = (-3.1)^2 - 4 \cdot 5.7 \cdot (-5.3) = 130.45
+ \end{equation}
+ and
+ \begin{eqnarray}
+ x_1 &=& \frac{3.1 + \sqrt{130.45}}{11.4} = 1.27\\
+ x_2 &=& \frac{3.1 - \sqrt{130.45}}{11.4} = -0.73
+ \end{eqnarray}
+ The proposed values $x = x_1, x_2$ are solutions to the given equation.
+ \end{solution}
+ \begin{exercise}
+ \label{ex:2}
+ Consider a 2-dimensional vector space equipped with a Euclidean
+ distance function. Given a right-angled triangle, with the sides
+ $A$ and $B$ adjacent to the right angle having lengths, $3$ and
+ $4$, calculate the length of the hypotenuse, labeled $C$.
+ \end{exercise}
+ \begin{solution}
+ This calls for application of Pythagoras' theorem, which
+ tells us:
+ \begin{equation}
+ \left\|A\right\|^2 + \left\|B\right\|^2 = \left\|C\right\|^2
+ \end{equation}
+ and therefore:
+ \begin{eqnarray}
+ \left\|C\right\|
+ &=& \sqrt{\left\|A\right\|^2 + \left\|B\right\|^2}\\
+ &=& \sqrt{3^2 + 4^2}\\
+ &=& \sqrt{25} = 5
+ \end{eqnarray}
+ Therefore, the length of the hypotenuse equals $5$.
+ \end{solution}
+\end{exercises}
+
+And now, we can come to the conclusion.
+\section{Conclusion}
+Solving second-order polynomial equations is very easy.
+\end{document}
+\endinput
+%%
+%% End of file `example.tex'.
diff --git a/Master/texmf-dist/doc/latex/exsol/exsol.pdf b/Master/texmf-dist/doc/latex/exsol/exsol.pdf
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+[ 4096] .
+[ 1644] README
+[ 443] manifest.txt
+[ 403] LICENSE
+[ 227438] exsol.pdf
+[ 2547] exsol.ins
+[ 59594] exsol.dtx
+[ 69744] example-solutionbook.pdf
+[ 61820] example.pdf
+[ 55624] example-local.pdf
+[ 56960] example-inline.pdf
+[ 55413] example-formulacollection.pdf
+[ 58600] example-external.pdf
+[ 48449] example-exercisebook.pdf
+
+1 directory, 13 files