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-
-<h2 class="titleHead">probsoln v3.04: creating problem
-sheets optionally with solutions</h2>
- <div class="author" ><span
-class="ec-lmr-12x-x-120">Nicola L.C. Talbot</span>
-<br /> <span
-class="ec-lmr-12x-x-120">School of Computing Sciences</span>
-<br /> <span
-class="ec-lmr-12x-x-120">University of East Anglia</span>
-<br /> <span
-class="ec-lmr-12x-x-120">Norwich. Norfolk</span>
-<br /> <span
-class="ec-lmr-12x-x-120">NR4 7TJ. United Kingdom.</span>
-<br /><a
-href="http://theoval.cmp.uea.ac.uk/~nlct/" class="url" ><span
-class="ec-lmtt-12x-x-120">http://theoval.cmp.uea.ac.uk/~nlct/</span></a></div><br />
-<div class="date" ><span
-class="ec-lmr-12x-x-120">2012-08-23</span></div>
- </div>
- <h3 class="likesectionHead"><a
- id="x1-1000"></a>Contents</h3>
- <div class="tableofcontents">
- <span class="sectionToc" >1 <a
-href="#x1-20001" id="QQ2-1-2">Introduction</a></span>
-<br /> <span class="sectionToc" >2 <a
-href="#x1-30002" id="QQ2-1-3">Package Options</a></span>
-<br /> <span class="sectionToc" >3 <a
-href="#x1-40003" id="QQ2-1-4">Verbatim</a></span>
-<br /> <span class="sectionToc" >4 <a
-href="#x1-50004" id="QQ2-1-5">Showing and Hiding Solutions</a></span>
-<br /> <span class="sectionToc" >5 <a
-href="#x1-60005" id="QQ2-1-6">General Formatting Commands</a></span>
-<br /> <span class="sectionToc" >6 <a
-href="#x1-70006" id="QQ2-1-7">Defining a Problem</a></span>
-<br /> <span class="sectionToc" >7 <a
-href="#x1-80007" id="QQ2-1-8">Using a Problem</a></span>
-<br /> <span class="sectionToc" >8 <a
-href="#x1-90008" id="QQ2-1-9">Loading Problems From External Files</a></span>
-<br /> &#x00A0;<span class="subsectionToc" >8.1 <a
-href="#x1-100008.1" id="QQ2-1-10">Randomly Selecting Problems Not Selected in Previous Documents</a></span>
-<br /> <span class="sectionToc" >9 <a
-href="#x1-110009" id="QQ2-1-11">Iterating Through Datasets</a></span>
-<br /> <span class="sectionToc" >10 <a
-href="#x1-1200010" id="QQ2-1-12">Random Number Generator</a></span>
-<br /> <span class="sectionToc" >11 <a
-href="#x1-1300011" id="QQ2-1-13">Compatibility With Versions Prior to 3.0</a></span>
-<br /> <span class="sectionToc" ><a
-href="#Q1-1-14">Index</a></span>
-
-
- </div>
-<!--l. 40--><p class="noindent" >
-</p>
- <h3 class="sectionHead"><span class="titlemark">1 </span> <a
- id="x1-20001"></a>Introduction</h3>
-<!--l. 41--><p class="noindent" >The <span
-class="ec-lmss-10x-x-109">probsoln </span>package is designed for teachers or lecturers who want to
-create problem sheets for their students. This package was designed with
-mathematics problems in mind, but can be used for other subjects as well. The
-idea is to create a file containing a large number of problems with their
-solutions which can be read in by <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, and then select a number of
-problems to typeset. This means that once the database has been set up,
-each year you can easily create a new problem sheet that is sufficiently
-different from the previous year, thus preventing the temptation of current
-students seeking out the previous year&#8217;s students, and checking out their
-answers. There is also an option that can be passed to the package
-to determine whether or not the solutions should be printed. In this
-way, one file can either produce the student&#8217;s version or the teacher&#8217;s
-version.
-</p><!--l. 56--><p class="noindent" >
-</p>
-<!--l. 56--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">2 </span> <a
- id="x1-30002"></a>Package Options</h3>
-<!--l. 57--><p class="noindent" >The following options may be passed to this package:
- </p><dl class="description"><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">answers</span><a
- id="dx1-3001"></a> </dt><dd
-class="description">Show the answers
- </dd><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">noanswers</span><a
- id="dx1-3002"></a> </dt><dd
-class="description">Don&#8217;t show the answers (default)
- </dd><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">draft</span><a
- id="dx1-3003"></a> </dt><dd
-class="description">Display the label and dataset name when a problem is used
- </dd><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">final</span><a
- id="dx1-3004"></a> </dt><dd
-class="description">Don&#8217;t display label and dataset name when a problem is used
- </dd><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">usedefaultargs</span><a
- id="dx1-3005"></a> </dt><dd
-class="description">Make <span
-class="ec-lmtt-10x-x-109">\thisproblem</span><a
- id="dx1-3006"></a> use the default arguments supplied in
- the problem definition.
-
-
- </dd><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">nousedefaultargs</span><a
- id="dx1-3007"></a> </dt><dd
-class="description">Make <span
-class="ec-lmtt-10x-x-109">\thisproblem</span><a
- id="dx1-3008"></a> prompt for problem arguments
- (default).</dd></dl>
-<!--l. 69--><p class="noindent" >
-</p>
-<!--l. 69--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">3 </span> <a
- id="x1-40003"></a>Verbatim</h3>
-<!--l. 71--><p class="noindent" >As from version 3.02, problems and solutions may contain verbatim text, but
-you must use the <a
- id="dx1-4001"></a><span
-class="ec-lmtt-10x-x-109">fragile </span>(or <span
-class="ec-lmtt-10x-x-109">fragile=true</span>) option for the associated
-environments.
-</p><!--l. 75--><p class="indent" > Alternatively, if most of your problems contain verbatim, you can globally set
-this option using:
-
-
-</p>
- <div class="verbatim" id="verbatim-1">
-\setkeys{probsoln}{fragile}
-</div>
-<!--l. 79--><p class="nopar" > You can switch off this option using <span
-class="ec-lmtt-10x-x-109">fragile=false</span>.
-</p><!--l. 82--><p class="indent" > The <span
-class="ec-lmtt-10x-x-109">fragile </span>option writes information to a temporary file. This defaults to
-<span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\jobname.vrb</span></span></span> but the name may be changed. The extension (<span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">.vrb</span></span></span>) is given
-by:
-</p><!--l. 85--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\ProbSolnFragileExt</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-4002"></a> <span
-class="ec-lmtt-10x-x-109">\ProbSolnFragileExt </span></div><hr>
-</p><!--l. 87--><p class="noindent" >
-The base name (<span
-class="ec-lmtt-10x-x-109">\jobname</span>) is given by:
-</p><!--l. 89--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\ProbSolnFragileFile</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-4003"></a> <span
-class="ec-lmtt-10x-x-109">\ProbSolnFragileFile </span></div><hr>
-</p><!--l. 91--><p class="noindent" >
-</p><!--l. 93--><p class="noindent" >
-</p>
-<!--l. 93--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">4 </span> <a
- id="x1-50004"></a>Showing and Hiding Solutions</h3>
-<!--l. 95--><p class="noindent" >In addition to the <span
-class="ec-lmss-10x-x-109">answers</span><a
- id="dx1-5001"></a> and <span
-class="ec-lmss-10x-x-109">noanswers</span><a
- id="dx1-5002"></a> package options, it is also possible to
-show or suppress the solutions using
-</p><!--l. 98--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\showanswers</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-5003"></a> <span
-class="ec-lmtt-10x-x-109">\showanswers </span></div><hr>
-</p><!--l. 100--><p class="noindent" >
-and
-</p><!--l. 102--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\hideanswers</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-5004"></a> <span
-class="ec-lmtt-10x-x-109">\hideanswers </span></div><hr>
-</p><!--l. 104--><p class="noindent" >
-respectively.
-</p><!--l. 107--><p class="indent" > The boolean variable <span
-class="ec-lmss-10x-x-109">showanswers</span><a
- id="dx1-5005"></a> determines whether the answers should be
-displayed. You can use this value with the <span
-class="ec-lmss-10x-x-109">ifthen</span><a
- id="dx1-5006"></a> package to specify
-different text depending on whether the solutions should be displayed. For
-example:
-
-
-</p>
- <div class="verbatim" id="verbatim-2">
-Assignment&#x00A0;1\ifthenelse{\boolean{showanswers}}{&#x00A0;(Solution&#x00A0;Sheet)}{}
-</div>
-<!--l. 113--><p class="nopar" > Alternatively you can use <span
-class="ec-lmtt-10x-x-109">\ifshowanswers</span><a
- id="dx1-5007"></a>&#x2026;<span
-class="ec-lmtt-10x-x-109">\else</span>&#x2026;<span
-class="ec-lmtt-10x-x-109">\fi</span>:
-
-
-</p>
- <div class="verbatim" id="verbatim-3">
-Assignment&#x00A0;1\ifshowanswers\space&#x00A0;(Solution&#x00A0;Sheet)\fi
-</div>
-<!--l. 118--><p class="nopar" >
-</p><!--l. 120--><p class="indent" > For longer passages, you can use the environments
-</p><!--l. 121--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">onlyproblem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-5008"></a><a
- id="dx1-5009"></a> <span
-class="ec-lmtt-10x-x-109">\begin{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">onlyproblem</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">option</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">] </span></div><hr>
-</p><!--l. 123--><p class="noindent" >
-and
-</p><!--l. 125--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">onlysolution</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-5010"></a><a
- id="dx1-5011"></a> <span
-class="ec-lmtt-10x-x-109">\begin{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">onlysolution</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">option</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">] </span></div><hr>
-</p><!--l. 127--><p class="noindent" >
-For example:
-
-
-</p>
- <div class="verbatim" id="verbatim-4">
-\begin{onlyproblem}%
-&#x00A0;<br />What&#x00A0;is&#x00A0;the&#x00A0;derivative&#x00A0;of&#x00A0;$f(x)&#x00A0;=&#x00A0;x^2$?
-&#x00A0;<br />\end{onlyproblem}%
-&#x00A0;<br />\begin{onlysolution}%
-&#x00A0;<br />$f&#8217;(x)&#x00A0;=&#x00A0;2x$
-&#x00A0;<br />\end{onlysolution}
-</div>
-<!--l. 136--><p class="nopar" > The above will only display the question if <span
-class="ec-lmss-10x-x-109">showanswers</span><a
- id="dx1-5012"></a> is false and will only
-display the solution if <span
-class="ec-lmss-10x-x-109">showanswers</span><a
- id="dx1-5013"></a> is true. If you want the question to appear in
-the answer sheet as well as the solution, then don&#8217;t put the question in the
-<span
-class="ec-lmss-10x-x-109">onlyproblem</span><a
- id="dx1-5014"></a><a
- id="dx1-5015"></a> environment:
-
-
-</p>
- <div class="verbatim" id="verbatim-5">
-What&#x00A0;is&#x00A0;the&#x00A0;derivative&#x00A0;of&#x00A0;$f(x)&#x00A0;=&#x00A0;x^2$?
-&#x00A0;<br />\begin{onlysolution}%
-&#x00A0;<br />Solution:&#x00A0;$f&#8217;(x)&#x00A0;=&#x00A0;2x$
-&#x00A0;<br />\end{onlysolution}
-</div>
-<!--l. 147--><p class="nopar" >
-</p><!--l. 149--><p class="indent" > <div class="important" title="Important Note"> If you want to include verbatim text in the body of <span
-class="ec-lmss-10x-x-109">onlyproblem</span><a
- id="dx1-5016"></a><a
- id="dx1-5017"></a> or
-<span
-class="ec-lmss-10x-x-109">onlysolution</span><a
- id="dx1-5018"></a><a
- id="dx1-5019"></a>, you need to specify <span
-class="ec-lmtt-10x-x-109">fragile </span>in the optional argument of the
-environment. (See <a
-href="#x1-40003">§3 </a><a
-href="#x1-40003">Verbatim<!--tex4ht:ref: sec:verbatim --></a> for further details.) </div>
-</p><!--l. 154--><p class="noindent" >
-</p><!--l. 156--><p class="indent" > If you use <span
-class="ec-lmss-10x-x-109">onlysolution </span>within the <span
-class="ec-lmss-10x-x-109">defproblem</span><a
- id="dx1-5020"></a><a
- id="dx1-5021"></a> environment, the problem will
-be tagged as having a solution and will be added to the list used by
-<span
-class="ec-lmtt-10x-x-109">\foreachsolution</span><a
- id="dx1-5022"></a>. The optional argument of <span
-class="ec-lmss-10x-x-109">onlysolution </span>(and <span
-class="ec-lmss-10x-x-109">onlyproblem</span><a
- id="dx1-5023"></a><a
- id="dx1-5024"></a>) is
-inherited from the parent <span
-class="ec-lmss-10x-x-109">defproblem</span><a
- id="dx1-5025"></a><a
- id="dx1-5026"></a> setting.
-</p><!--l. 162--><p class="noindent" >
-</p>
-<!--l. 162--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">5 </span> <a
- id="x1-60005"></a>General Formatting Commands</h3>
-<!--l. 164--><p class="noindent" >The commands and environments described in this section are provided to assist
-formatting problems and their solutions.
-</p><!--l. 166--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">solution</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-6001"></a><a
- id="dx1-6002"></a> <span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\begin{solution}</span></span></span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">text</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\end{solution}</span></span></span> </div><hr>
-</p><!--l. 168--><p class="noindent" >
-By default, this is equivalent to <spacer type=vertical size=10><span class="obeylines-h">
- <br /><span class="verb"><span
-class="ec-lmtt-10x-x-109">\par\noindent\textbf{\solutionname}:</span><span
-class="ec-lmtt-10x-x-109">&#x00A0;</span></span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">text</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>
- <br /><spacer type=vertical size=10></span>
-where <span class="marginpar"><span
-class="ec-lmtt-10">\solutionname</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-6003"></a><span
-class="ec-lmtt-10x-x-109">\solutionname </span>defaults to &#8220;Solution&#8221;. Note that you
-must place the <span
-class="ec-lmss-10x-x-109">solution</span><a
- id="dx1-6004"></a><a
- id="dx1-6005"></a> environment inside the <span
-class="ec-lmss-10x-x-109">onlysolution </span>environment or
-between <span
-class="ec-lmtt-10x-x-109">\ifshowanswers</span><a
- id="dx1-6006"></a>&#x2026;<span
-class="ec-lmtt-10x-x-109">\fi </span>to ensure that it is suppressed when the solutions
-are not wanted. (See <a
-href="#x1-50004">§4 </a><a
-href="#x1-50004">Showing and Hiding Solutions<!--tex4ht:ref: sec:showanswers --></a>.)
-</p><!--l. 181--><p class="indent" > Note that the <span
-class="ec-lmss-10x-x-109">probsoln </span>package will only define the <span
-class="ec-lmss-10x-x-109">solution</span><a
- id="dx1-6007"></a><a
- id="dx1-6008"></a> environment if it
-is not already defined.
-</p><!--l. 184--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">textenum</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-6009"></a><a
- id="dx1-6010"></a> <span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\begin{textenum}</span></span></span><span
-class="ec-lmtt-10x-x-109">&#x2026;</span><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\end{textenum}</span></span></span> </div><hr>
-</p><!--l. 186--><p class="noindent" >
-The <span
-class="ec-lmss-10x-x-109">textenum </span>environment is like the <span
-class="ec-lmss-10x-x-109">enumerate</span><a
- id="dx1-6011"></a><a
- id="dx1-6012"></a> environment but is in-line. It
-uses the same counter that the <span
-class="ec-lmss-10x-x-109">enumerate </span>environment would use at that level
-so the question can be compact but the answer can use <span
-class="ec-lmss-10x-x-109">enumerate </span>instead. For
-
-
-example:
-
-
-</p>
- <div class="verbatim" id="verbatim-6">
-\begin{onlyproblem}%
-&#x00A0;<br />&#x00A0;&#x00A0;Differentiate&#x00A0;the&#x00A0;following:
-&#x00A0;<br />&#x00A0;&#x00A0;\begin{textenum}
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;\item&#x00A0;$f(x)=2^x$;&#x00A0;\item&#x00A0;$f(x)=\cot(x)$
-&#x00A0;<br />&#x00A0;&#x00A0;\end{textenum}
-&#x00A0;<br />\end{onlyproblem}
-&#x00A0;<br />\begin{onlysolution}
-&#x00A0;<br />&#x00A0;&#x00A0;\begin{enumerate}
-&#x00A0;<br />&#x00A0;&#x00A0;\item
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;\begin{align*}
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;f(x)&#x00A0;&amp;=&#x00A0;2^x&#x00A0;=&#x00A0;\exp(\ln(x^2))&#x00A0;=\exp(2\ln(x))\\
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;f&#8217;(x)&#x00A0;&amp;=&#x00A0;\exp(2\ln(x))\times&#x00A0;\frac{2}{x}\\
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&amp;=&#x00A0;f(x)\frac{2}{x}
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;\end{align*}
-&#x00A0;<br />&#x00A0;&#x00A0;\item
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;\begin{align*}
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;f(x)&#x00A0;&amp;=&#x00A0;\cot(x)&#x00A0;=&#x00A0;(\tan(x))^{-2}\\
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;f&#8217;(x)&#x00A0;&amp;=&#x00A0;-(\tan(x))^{-2}\times\sec^2(x)\\
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;&amp;=-\csc^2x
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;\end{align*}
-&#x00A0;<br />&#x00A0;&#x00A0;\end{enumerate}
-&#x00A0;<br />\end{onlysolution}
-</div>
-<!--l. 215--><p class="nopar" > In this example, the items in the question are brief, so an <span
-class="ec-lmss-10x-x-109">enumerate</span><a
- id="dx1-6013"></a><a
- id="dx1-6014"></a>
-environment would result in a lot of unnecessary white space, but the answers
-require more space, so an <span
-class="ec-lmss-10x-x-109">enumerate </span>environment is more appropriate. Since the
-<span
-class="ec-lmss-10x-x-109">textenum </span>environment uses the same counters as the <span
-class="ec-lmss-10x-x-109">enumerate </span>environment, the
-question and answer sheets use consistent labelling. Note that there are other
-packages available on CTAN that you can use to create in-line lists. Check the
-<a
-href="http://www.tex.ac.uk/tex-archive/help/Catalogue/bytopic.html#enumeration" >TeX Catalogue</a> for further details.
-</p><!--l. 227--><p class="indent" > <span class="marginpar"><span
-class="ec-lmtt-10">\correctitem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-6015"></a><span class="marginpar"><span
-class="ec-lmtt-10">\incorrectitem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-6016"></a>
-</p><!--l. 229--><p class="indent" > <hr><div title="Definition"><span
-class="ec-lmtt-10x-x-109">\correctitem</span><br
-class="newline" /><span
-class="ec-lmtt-10x-x-109">\incorrectitem </span></div><hr>
-</p><!--l. 231--><p class="noindent" >
-You can use the commands <span
-class="ec-lmtt-10x-x-109">\correctitem </span>and <span
-class="ec-lmtt-10x-x-109">\incorrectitem </span>in place of
-<span
-class="ec-lmtt-10x-x-109">\item</span><a
- id="dx1-6017"></a>. If the solutions are suppressed, these commands behave in the same way
-as <span
-class="ec-lmtt-10x-x-109">\item</span>, otherwise they format the item label using one of the commands:
-<span class="marginpar"><span
-class="ec-lmtt-10">\correctitemformat</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-6018"></a><span class="marginpar"><span
-class="ec-lmtt-10">\incorrectitemformat</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-6019"></a>
-</p><!--l. 238--><p class="indent" > <hr><div title="Definition"><span
-class="ec-lmtt-10x-x-109">\correctitemformat{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span><br
-class="newline" /><span
-class="ec-lmtt-10x-x-109">\incorrectitemformat{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 240--><p class="noindent" >
-For example:
-
-
-</p>
- <div class="verbatim" id="verbatim-7">
-Under&#x00A0;which&#x00A0;of&#x00A0;the&#x00A0;following&#x00A0;functions&#x00A0;does&#x00A0;$S=\{a_1,a_2\}$
-&#x00A0;<br />become&#x00A0;a&#x00A0;probability&#x00A0;space?
-&#x00A0;<br />\begin{enumerate}
-&#x00A0;<br />\incorrectitem&#x00A0;$P(a_1)=\frac{1}{3}$,&#x00A0;$P(a_2)=\frac{1}{2}$
-&#x00A0;<br />\correctitem&#x00A0;$P(a_1)=\frac{3}{4}$,&#x00A0;$P(a_2)=\frac{1}{4}$
-&#x00A0;<br />\correctitem&#x00A0;$P(a_1)=1$,&#x00A0;$P(a_2)=0$
-&#x00A0;<br />\incorrectitem&#x00A0;$P(a_1)=\frac{5}{4}$,&#x00A0;$P(a_2)=-\frac{1}{4}$
-&#x00A0;<br />\end{enumerate}
-</div>
-<!--l. 251--><p class="nopar" > The default definition of <span
-class="ec-lmtt-10x-x-109">\correctitemformat </span>puts a frame around the
-label.
-</p><!--l. 255--><p class="noindent" >
-</p>
-<!--l. 255--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">6 </span> <a
- id="x1-70006"></a>Defining a Problem</h3>
-<!--l. 257--><p class="noindent" >It is possible to construct a problem sheet with solutions using the commands
-described in the previous sections, however it is also possible to define a set of
-problems for later use. In this way you can create an external file containing
-many problems some or all of which can be loaded and used in a document. The
-<span
-class="ec-lmss-10x-x-109">probsoln </span>package has a default data set labelled &#8220;default&#8221; in which you can
-store problems. Alternatively, you can create multiple data sets. You
-can then iterate through each problem in a problem set. You can use a
-previously defined problem more than once, which means that by judicious
-use of <span
-class="ec-lmss-10x-x-109">onlyproblem</span><a
- id="dx1-7001"></a><a
- id="dx1-7002"></a>, <span
-class="ec-lmss-10x-x-109">onlysolution</span><a
- id="dx1-7003"></a><a
- id="dx1-7004"></a> or the <span
-class="ec-lmss-10x-x-109">showanswers</span><a
- id="dx1-7005"></a> boolean variable
-in conjunction with <span
-class="ec-lmtt-10x-x-109">\showanswers</span><a
- id="dx1-7006"></a> and <span
-class="ec-lmtt-10x-x-109">\hideanswers</span><a
- id="dx1-7007"></a>, you can print
-the solutions in a different location to the questions (for example in an
-appendix).
-</p><!--l. 272--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">defproblem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-7008"></a><a
- id="dx1-7009"></a> <span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\begin{defproblem}</span></span></span><span
-class="ec-lmtt-10x-x-109">[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">][</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">default args</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">option</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]</span><br
-class="newline" /><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">definition</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><br
-class="newline" /><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\end{defproblem}</span></span></span> </div><hr>
-</p><!--l. 276--><p class="noindent" >
-This defines the problem whose label is given by <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>. The label must be
-unique for a given data set and should not contain active characters or
-a comma. (Active characters include the special characters such as $
-and &amp;, but some packages may make other symbols active, such as the
-colon (:) character. For example, the <span
-class="ec-lmss-10x-x-109">ngerman</span><a
- id="dx1-7010"></a> and <span
-class="ec-lmss-10x-x-109">babel</span><a
- id="dx1-7011"></a> packages make
-certain punctuation active. Check the relevant package documentation for
-details.)
-
-
-</p><!--l. 285--><p class="indent" > <div class="important" title="Important Note"> The final optional argument <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">option</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>may be <span
-class="ec-lmtt-10x-x-109">fragile </span>to indicate that the
-problem contains verbatim text. Any occurrences of <span
-class="ec-lmss-10x-x-109">onlyproblem</span><a
- id="dx1-7012"></a><a
- id="dx1-7013"></a> or <span
-class="ec-lmss-10x-x-109">onlysolution</span><a
- id="dx1-7014"></a><a
- id="dx1-7015"></a>
-contained within <span
-class="ec-lmss-10x-x-109">defproblem </span>are inherited from <span
-class="ec-lmss-10x-x-109">defproblem</span>. (See <a
-href="#x1-40003">§3 </a><a
-href="#x1-40003">Verbatim<!--tex4ht:ref: sec:verbatim --></a> for
-further details.) </div>
-</p><!--l. 291--><p class="noindent" >
-</p><!--l. 293--><p class="indent" > If <span
-class="ec-lmss-10x-x-109">defproblem</span><a
- id="dx1-7016"></a><a
- id="dx1-7017"></a> occurs in the document or is included via <span
-class="ec-lmtt-10x-x-109">\input</span><a
- id="dx1-7018"></a> or <span
-class="ec-lmtt-10x-x-109">\include</span><a
- id="dx1-7019"></a>,
-then the problem will be added to the default data set. If <span
-class="ec-lmss-10x-x-109">defproblem </span>occurs in
-an external file that is loaded using one of the commands defined in <a
-href="#x1-90008">§8 </a><a
-href="#x1-90008">Loading
-Problems From External Files<!--tex4ht:ref: sec:load --></a> then the problem will be added to the specified
-data set.
-</p><!--l. 300--><p class="indent" > The contents of the <span
-class="ec-lmss-10x-x-109">defproblem</span><a
- id="dx1-7020"></a><a
- id="dx1-7021"></a> environment should be the text that defines
-the problem. This may include any of the commands defined in <a
-href="#x1-50004">§4 </a><a
-href="#x1-50004">Showing and
-Hiding Solutions<!--tex4ht:ref: sec:showanswers --></a> and <a
-href="#x1-60005">§5 </a><a
-href="#x1-60005">General Formatting Commands<!--tex4ht:ref: sec:formatting --></a>.
-</p><!--l. 305--><p class="indent" > The problem may optionally take <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>arguments (where <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is from 0 to 9).
-The arguments can be referenced in the definition via <span
-class="ec-lmtt-10x-x-109">#1</span>,&#x2026;,<span
-class="ec-lmtt-10x-x-109">#9</span>. If <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is omitted
-then the problem doesn&#8217;t take any arguments. The following example defines a
-problem with one argument:
-
-
-</p>
- <div class="verbatim" id="verbatim-8">
-\begin{defproblem}[1]{diffsin}
-&#x00A0;<br />Differentiate&#x00A0;$f(x)=\sin(#1x)$.
-&#x00A0;<br />\begin{onlysolution}%
-&#x00A0;<br />&#x00A0;&#x00A0;\begin{solution}
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;$f&#8217;(x)&#x00A0;=&#x00A0;#1\cos(#1x)$
-&#x00A0;<br />&#x00A0;&#x00A0;\end{solution}
-&#x00A0;<br />\end{onlysolution}
-&#x00A0;<br />\end{defproblem}
-</div>
-<!--l. 320--><p class="nopar" >
-</p><!--l. 322--><p class="indent" > The second optional argument <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">default args</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>supplies default problem
-arguments that will automatically be used within <span
-class="ec-lmtt-10x-x-109">\thisproblem</span><a
- id="dx1-7022"></a> when used in
-<span
-class="ec-lmtt-10x-x-109">\foreachproblem</span><a
- id="dx1-7023"></a> in conjunction with the package option <span
-class="ec-lmss-10x-x-109">usedefaultargs</span><a
- id="dx1-7024"></a>. (See <a
-href="#x1-110009">§9
-</a><a
-href="#x1-110009">Iterating Through Datasets<!--tex4ht:ref: sec:foreach --></a>.) For example:
-
-
-</p>
- <div class="verbatim" id="verbatim-9">
-\begin{defproblem}[1][{2}]{diffsin}
-&#x00A0;<br />Differentiate&#x00A0;$f(x)=\sin(#1x)$.
-&#x00A0;<br />\begin{onlysolution}%
-&#x00A0;<br />&#x00A0;&#x00A0;\begin{solution}
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;$f&#8217;(x)&#x00A0;=&#x00A0;#1\cos(#1x)$
-&#x00A0;<br />&#x00A0;&#x00A0;\end{solution}
-&#x00A0;<br />\end{onlysolution}
-&#x00A0;<br />\end{defproblem}
-</div>
-<!--l. 336--><p class="nopar" >
-</p><!--l. 338--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\newproblem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-7025"></a> <span
-class="ec-lmtt-10x-x-109">\newproblem[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">][</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">default args</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">problem</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">solution</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span>
-</div><hr>
-</p><!--l. 340--><p class="noindent" >
-This is a shortcut command for: <span class="obeylines-h">
- <span
-class="ec-lmtt-10x-x-109">\begin{defproblem}[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">][</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">default args</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}%</span>
- <br /><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">problem</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\begin{onlysolution}%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\begin{solution}%</span>
- <br /><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">solution</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\end{solution}%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\end{onlysolution}%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\end{defproblem}</span></span>
-</p><!--l. 352--><p class="indent" > For example:
-
-
-</p>
- <div class="verbatim" id="verbatim-10">
-\newproblem[1]{diffsin}{%
-&#x00A0;<br />&#x00A0;&#x00A0;\(f(x)&#x00A0;=&#x00A0;\sin(#1x)\)
-&#x00A0;<br />}%
-&#x00A0;<br />{%
-&#x00A0;<br />&#x00A0;&#x00A0;\(f&#8217;(x)&#x00A0;=&#x00A0;#1\cos(#1x)\)
-&#x00A0;<br />}
-</div>
-<!--l. 360--><p class="nopar" > is equivalent to
-
-
-</p>
- <div class="verbatim" id="verbatim-11">
-\begin{defproblem}[1]{diffcos}%
-&#x00A0;<br />&#x00A0;&#x00A0;\(f(x)&#x00A0;=&#x00A0;\cos(#1x)\)
-&#x00A0;<br />\begin{onlysolution}%
-&#x00A0;<br />&#x00A0;&#x00A0;\begin{solution}%
-&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;\(f&#8217;(x)&#x00A0;=&#x00A0;-#1\sin(#1x)\)
-&#x00A0;<br />&#x00A0;&#x00A0;\end{solution}%
-&#x00A0;<br />\end{onlysolution}%
-&#x00A0;<br />\end{defproblem}
-</div>
-<!--l. 371--><p class="nopar" > (In this example, the argument will need to be a positive number to avoid a
-double minus in the answer. If you want to perform floating point arithmetic on
-the arguments, then try the <span
-class="ec-lmss-10x-x-109">fp</span><a
- id="dx1-7026"></a> or <span
-class="ec-lmss-10x-x-109">pgfmath</span><a
- id="dx1-7027"></a> packages.)
-</p><!--l. 377--><p class="indent" > Alternatively, if you want to supply default arguments to use when iterating
-through problems with <span
-class="ec-lmtt-10x-x-109">\foreachproblem</span><a
- id="dx1-7028"></a>:
-
-
-</p>
- <div class="verbatim" id="verbatim-12">
-\newproblem[1][{3}]{diffsin}{%
-&#x00A0;<br />&#x00A0;&#x00A0;\(f(x)&#x00A0;=&#x00A0;\sin(#1x)\)
-&#x00A0;<br />}%
-&#x00A0;<br />{%
-&#x00A0;<br />&#x00A0;&#x00A0;\(f&#8217;(x)&#x00A0;=&#x00A0;#1\cos(#1x)\)
-&#x00A0;<br />}
-</div>
-<!--l. 386--><p class="nopar" >
-</p><!--l. 389--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\newproblem*</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-7029"></a> <span
-class="ec-lmtt-10x-x-109">\newproblem*[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">][</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">default args</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">definition</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span>
-</div><hr>
-</p><!--l. 391--><p class="noindent" >
-This is a shortcut for: <span class="obeylines-h">
- <span
-class="ec-lmtt-10x-x-109">\begin{defproblem}[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">][</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">default args</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}%</span>
- <br /><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">definition</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\end{defproblem}</span></span>
-</p><!--l. 399--><p class="indent" > <div class="important" title="Important Note"> Note that you can&#8217;t use verbatim text with <span
-class="ec-lmtt-10x-x-109">\newproblem </span>or <span
-class="ec-lmtt-10x-x-109">\newproblem*</span>.
-Use the <span
-class="ec-lmss-10x-x-109">defproblem</span><a
- id="dx1-7030"></a><a
- id="dx1-7031"></a> environment instead with the <span
-class="ec-lmtt-10x-x-109">fragile option</span>. </div>
-</p><!--l. 403--><p class="noindent" >
-</p><!--l. 405--><p class="noindent" >
-</p>
-<!--l. 405--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">7 </span> <a
- id="x1-80007"></a>Using a Problem</h3>
-<!--l. 407--><p class="noindent" >Once you have defined a problem using <span
-class="ec-lmss-10x-x-109">defproblem</span><a
- id="dx1-8001"></a><a
- id="dx1-8002"></a> or <span
-class="ec-lmtt-10x-x-109">\newproblem</span><a
- id="dx1-8003"></a> (see <a
-href="#x1-70006">§6
-</a><a
-href="#x1-70006">Defining a Problem<!--tex4ht:ref: sec:defproblem --></a>), you can later display the problem using:
-</p><!--l. 410--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\useproblem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-8004"></a> <span
-class="ec-lmtt-10x-x-109">\useproblem[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">arg</span><sub><span
-class="rm-lmr-8x-x-103">1</span></sub><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span><span
-class="ec-lmtt-10x-x-109">&#x2026;{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">arg</span><sub><span
-class="lmmi-8x-x-103">N</span></sub><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span>
-</div><hr>
-</p><!--l. 413--><p class="noindent" >
-where <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is the name of the data set that contains the problem (the
-default data set is used if omitted), <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">label</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is the label identifying the required
-problem and <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">arg</span><sub><span
-class="rm-lmr-8x-x-103">1</span></sub><span
-class="lmsy-10x-x-109">&#x27E9;</span>, &#x2026;, <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">arg</span><sub><span
-class="lmmi-8x-x-103">N</span></sub><span
-class="lmsy-10x-x-109">&#x27E9; </span>are the arguments to pass to the problem, if the
-problem was defined to have arguments (where <span
-class="lmmi-10x-x-109">N </span>is the number of arguments
-specified when the problem was defined).
-</p><!--l. 422--><p class="indent" > For example, in the previous section the problem <span
-class="ec-lmtt-10x-x-109">diffcos </span>was defined to have
-one argument, so it can be used as follows:
-
-
-</p>
- <div class="verbatim" id="verbatim-13">
-\useproblem{diffcos}{3}
-</div>
-<!--l. 426--><p class="nopar" > This will be equivalent to:
-
-
-</p>
- <div class="verbatim" id="verbatim-14">
-\(f(x)&#x00A0;=&#x00A0;\cos(3x)\)
-&#x00A0;<br />\begin{onlysolution}%
-&#x00A0;<br />\begin{solution}%
-&#x00A0;<br />\(f&#8217;(x)&#x00A0;=&#x00A0;-3\sin(3x)\)
-&#x00A0;<br />\end{solution}%
-&#x00A0;<br />\end{onlysolution}%
-</div>
-<!--l. 435--><p class="nopar" >
-</p><!--l. 437--><p class="noindent" >
-</p>
-<!--l. 437--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">8 </span> <a
- id="x1-90008"></a>Loading Problems From External Files</h3>
-<!--l. 439--><p class="noindent" >You can store all your problem definitions (see <a
-href="#x1-70006">§6 </a><a
-href="#x1-70006">Defining a Problem<!--tex4ht:ref: sec:defproblem --></a>) in an
-external file. These problems can all be appended to the default data set by
-including the file via <span
-class="ec-lmtt-10x-x-109">\input</span><a
- id="dx1-9001"></a> or they can be appended to other data sets
-using one of the commands described below. Once you have loaded all
-the required problems, you can iterate through the data sets using the
-commands described in <a
-href="#x1-110009">§9 </a><a
-href="#x1-110009">Iterating Through Datasets<!--tex4ht:ref: sec:foreach --></a>. Note that the
-commands below will create a new data set, if the named data set doesn&#8217;t
-exist.
-</p><!--l. 450--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\loadallproblems</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-9002"></a> <span
-class="ec-lmtt-10x-x-109">\loadallproblems[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 452--><p class="noindent" >
-This will load all problems defined in <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>and append them to the
-specified data set, in the order in which they are defined in the file. If <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>
-is omitted, the default data set will be used. If <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>doesn&#8217;t exist, it will be
-created.
-</p><!--l. 459--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\loadselectedproblems</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-9003"></a> <span
-class="ec-lmtt-10x-x-109">\loadselectedproblems[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">labels</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span>
-</div><hr>
-</p><!--l. 461--><p class="noindent" >
-This is like <span
-class="ec-lmtt-10x-x-109">\loadallproblems</span>, but only those problems whose label is listed in
-the comma-separated list <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">labels</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>are loaded. For example, if I have some
-problems defined in the file <span
-class="ec-lmtt-10x-x-109">derivatives.tex</span>, then
-
-
-</p>
- <div class="verbatim" id="verbatim-15">
-\loadselectedproblems{diffsin,diffcos}{derivatives}
-</div>
-<!--l. 468--><p class="nopar" > will only load the problems whose labels are <span
-class="ec-lmtt-10x-x-109">diffsin </span>and <span
-class="ec-lmtt-10x-x-109">diffcos</span>,
-respectively. All the other problems in the file will remain undefined.
-</p><!--l. 473--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\loadexceptproblems</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-9004"></a> <span
-class="ec-lmtt-10x-x-109">\loadexceptproblems[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">exception</span>
-<span
-class="ec-lmri-10x-x-109">list</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 475--><p class="noindent" >
-This is the reverse of <span
-class="ec-lmtt-10x-x-109">\loadselectedproblems</span>. This loads all problems except
-those whose labels are listed in <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">exception list</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>.
-</p><!--l. 480--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\loadrandomproblems</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-9005"></a> <span
-class="ec-lmtt-10x-x-109">\loadrandomproblems[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span>
-</div><hr>
-</p><!--l. 482--><p class="noindent" >
-This randomly loads <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>problems from <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>and adds them to the given
-data set. If <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is omitted, the default data set is assumed. Note that the
-problems will be added to the data set in a random order, not in the order in
-which they were defined. There must be at least <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>problems defined in
-<span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>.
-</p><!--l. 490--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\loadrandomexcept</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-9006"></a> <span
-class="ec-lmtt-10x-x-109">\loadrandomexcept[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">exception</span>
-<span
-class="ec-lmri-10x-x-109">list</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 493--><p class="noindent" >
-This is similar to <span
-class="ec-lmtt-10x-x-109">\loadrandomproblems </span>except that it won&#8217;t load those
-problems whose labels are listed in <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">exception list</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>. <span
-class="ec-lmbx-10x-x-109">If you want to</span>
-<span
-class="ec-lmbx-10x-x-109">automatically exclude problems included in previous documents, see</span>
-<a
-href="#x1-100008.1"><span
-class="ec-lmbx-10x-x-109">§8.1 </span></a><a
-href="#x1-100008.1"><span
-class="ec-lmbx-10x-x-109">Randomly Selecting Problems Not Selected in Previous</span>
-<span
-class="ec-lmbx-10x-x-109">Documents</span><!--tex4ht:ref: sec:exprev --></a><span
-class="ec-lmbx-10x-x-109">.</span>
-</p><!--l. 499--><p class="indent" > Note that the random number generator has been modified in version 3.01 in
-order to fix a bug. If you want to ensure that your random numbers are
-compatible with earlier versions, you can switch to the old generator
-using
-</p><!--l. 503--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\PSNuseoldrandom</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-9007"></a> <span
-class="ec-lmtt-10x-x-109">\PSNuseoldrandom </span></div><hr>
-</p><!--l. 505--><p class="noindent" >
-</p><!--l. 507--><p class="indent" > <div class="important" title="Important Note"> It is generally not a good idea to place anything in <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>that is not
-inside the body of <span
-class="ec-lmss-10x-x-109">defproblem</span><a
- id="dx1-9008"></a><a
- id="dx1-9009"></a> or in the arguments to <span
-class="ec-lmtt-10x-x-109">\newproblem</span><a
- id="dx1-9010"></a> or
-<span
-class="ec-lmtt-10x-x-109">\newproblem*</span><a
- id="dx1-9011"></a>. All the commands in this section input the external file within a
-local scope, so command definitions would need to be made global to have any
-effect. In addition, <span
-class="ec-lmtt-10x-x-109">\loadrandomproblems </span>has to load each file twice, which
-means that anything outside a problem definition will be parsed twice.
-</div>
-
-
-</p><!--l. 516--><p class="noindent" >
-</p><!--l. 519--><p class="noindent" >
-</p>
-<!--l. 519--><p class="noindent" ><a
-href="#top">Top</a></p><h4 class="subsectionHead"><span class="titlemark">8.1 </span> <a
- id="x1-100008.1"></a>Randomly Selecting Problems Not Selected in Previous Documents</h4>
-<!--l. 522--><p class="noindent" >Suppose you have a large set of questions that you want to randomly select for
-assignments and exams. The chances are, you don&#8217;t want to include questions
-that have been previously set for, say, the last three years. That is, you don&#8217;t
-want to select questions the students may already have seen. As from version
-3.03, you can now do this.
-</p><!--l. 529--><p class="indent" > The <span
-class="ec-lmss-10x-x-109">probsoln</span><a
- id="dx1-10001"></a> package defaults to the UK academic year, which starts in
-September. If this isn&#8217;t appropriate, you can change it using:
-</p><!--l. 532--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\SetStartMonth</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-10002"></a> <span
-class="ec-lmtt-10x-x-109">\SetStartMonth{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 534--><p class="noindent" >
-where <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is the number of the month. (1 = January, 2 = February,
-etc.)
-</p><!--l. 538--><p class="indent" > The <span
-class="ec-lmri-10x-x-109">start year </span>is the calender year in effect when the academic
-year started. For example, if this is the academic year 2011/12, then
-the start year is 2011. This is automatically set to the start of the
-current academic year. It is also updated when <span
-class="ec-lmtt-10x-x-109">\SetStartMonth </span>is
-used.<span class="footnote-mark"><a
-href="#fn1x0" id="fn1x0-bk"><sup class="textsuperscript">1</sup></a></span><a
- id="x1-10003f1"></a>
-If you want to set it to a specific year, you can use:
-</p><!--l. 545--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\SetStartYear</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-10004"></a> <span
-class="ec-lmtt-10x-x-109">\SetStartYear{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">year</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 547--><p class="noindent" >
-For example: <span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\SetStartYear{2008}</span></span></span> indicates the academic year 2008/9.
-</p><!--l. 551--><p class="indent" > There are two files concerned with previously used labels. They are:
- </p><dl class="description"><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">The previously used labels file</span> </dt><dd
-class="description">This keeps track of all problems used in
- previous years, as well as problems used by other documents that have
- this as their previously used labels file, and it contains the problem
- labels from the last run of the current document.
- </dd><dt class="description">
-<span
-class="ec-lmssbx-10x-x-109">The current used labels file</span> </dt><dd
-class="description">This defaults to <span
-class="ec-lmtt-10x-x-109">\jobname.prb</span>, but the name can
- be changed using:
- <!--l. 562--><p class="noindent" ><hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\SetUsedFileName</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-10005"></a> <span
-class="ec-lmtt-10x-x-109">\SetUsedFileName{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">name</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
- </p><!--l. 564--><p class="noindent" >
- This file keeps track of all the labels used in the current document from
- the previous <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#x00A0;run. Note that if you want to delete this file, first
- clear it using
-
-
- </p><!--l. 568--><p class="noindent" ><hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\ClearUsedFile</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-10006"></a> <span
-class="ec-lmtt-10x-x-109">\ClearUsedFile{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">file</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
- </p><!--l. 570--><p class="noindent" >
- in place of <span
-class="ec-lmtt-10x-x-109">\ExcludePreviousFile{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">file</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}</span>, described below. The
- argument <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">file</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is the previously used labels file described above.
- <span
-class="ec-lmtt-10x-x-109">\ClearUsedFile </span>will remove all labels in the current used labels file from
- the previously used labels file and clear the current used labels file. Once
- this file is empty, it may then be deleted.
-</p>
- </dd></dl>
-<!--l. 580--><p class="indent" > Before loading randomly selected problems, first specify the previously used
-labels file with the command:
-</p><!--l. 582--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\ExcludePreviousFile</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-10007"></a> <span
-class="ec-lmtt-10x-x-109">\ExcludePreviousFile[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">number of years</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">file</span>
-<span
-class="ec-lmri-10x-x-109">name</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 584--><p class="noindent" >
-where <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">file name</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is the name of the previously used file. The optional argument
-<span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">number of years</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>specifies the year cut-off. This defaults to 3, which means that
-only those labels used this year or the previous 2 years will be kept. Any
-problems used before then may be reused.
-</p><!--l. 591--><p class="indent" > Suppose I&#8217;m lecturing a first year undergraduate mathematics course
-(designated, say, mth101). I want to set assignments on each topic and an exam
-at the end of the year (as well as a resit or second sitting paper). I&#8217;ve got
-databases with problems for each topic, but the first and second sitting
-exams mustn&#8217;t include any of the problems used in the assignments
-or any problems used in assignments or exams for the previous two
-academic years. I&#8217;m going to arrange my directory structure as follows:
-</p>
- <ul class="itemize1">
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">mth101/</span>
- <ul class="itemize2">
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">assignment1/ </span>(differentiation)
- <ul class="itemize3">
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">assignment1.tex</span></li></ul>
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">assignment2/ </span>(probability spaces)
- <ul class="itemize3">
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">assignment2.tex</span></li></ul>
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">assignment3/ </span>(linear algebra)
- <ul class="itemize3">
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">assignment3.tex</span></li></ul>
-
-
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">exams/</span>
- <ul class="itemize3">
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">exam.tex </span>(first sitting)
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">resit.tex </span>(second sitting)</li></ul>
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">databases/</span>
- <ul class="itemize3">
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">differentiation.tex</span>
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">probabilityspaces.tex</span>
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">linearalgebra.tex</span></li></ul>
- </li>
- <li class="itemize"><span
-class="ec-lmtt-10x-x-109">previouslabels.tex </span>(created by <span
-class="ec-lmss-10x-x-109">probsoln</span><a
- id="dx1-10008"></a>)</li></ul>
- </li></ul>
-<!--l. 629--><p class="noindent" >
-</p>
-<!--l. 629--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">9 </span> <a
- id="x1-110009"></a>Iterating Through Datasets</h3>
-<!--l. 631--><p class="noindent" >Once you have defined all your problems for a given data set, you can use an
-individual problem with <span
-class="ec-lmtt-10x-x-109">\useproblem</span><a
- id="dx1-11001"></a> (see <a
-href="#x1-80007">§7 </a><a
-href="#x1-80007">Using a Problem<!--tex4ht:ref: sec:useproblem --></a>) but it is more
-likely that you will want to iterate through all the problems so that
-you don&#8217;t need to remember the labels of all the problems you have
-defined.
-</p><!--l. 637--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\foreachproblem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-11002"></a> <span
-class="ec-lmtt-10x-x-109">\foreachproblem[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">body</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 639--><p class="noindent" >
-This does <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">body</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>for each problem in the given data set. If <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>is omitted,
-the default data set is used. Within <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">body</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>you can use
-</p><!--l. 643--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\thisproblem</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-11003"></a> <span
-class="ec-lmtt-10x-x-109">\thisproblem </span></div><hr>
-</p><!--l. 645--><p class="noindent" >
-to use the current problem and
-</p><!--l. 647--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\thisproblemlabel</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-11004"></a> <span
-class="ec-lmtt-10x-x-109">\thisproblemlabel </span></div><hr>
-</p><!--l. 649--><p class="noindent" >
-to access the current label. If the problem requires arguments, and no default
-arguments were supplied in the problem definition or the package option
-<span
-class="ec-lmss-10x-x-109">usedefaultargs</span><a
- id="dx1-11005"></a> was not used, then you will be prompted for arguments, so if you
-
-
-want to use this approach you will need to use <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#x00A0;in interactive mode. If
-you do provide arguments, they will be stored in the event that you need to
-iterate through the data set again. The arguments will be included in
-<span
-class="ec-lmtt-10x-x-109">\thisproblem</span>, so you only need to use <span
-class="ec-lmtt-10x-x-109">\thisproblem </span>without having to specify
-<span
-class="ec-lmtt-10x-x-109">\useproblem</span><a
- id="dx1-11006"></a>.
-</p><!--l. 661--><p class="indent" > For example, to iterate through all problems in the default data set:
-
-
-</p>
- <div class="verbatim" id="verbatim-16">
-\begin{enumerate}
-&#x00A0;<br />\foreachproblem{\item\thisproblem}
-&#x00A0;<br />\end{enumerate}
-</div>
-<!--l. 667--><p class="nopar" >
-</p><!--l. 669--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\foreachsolution</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-11007"></a> <span
-class="ec-lmtt-10x-x-109">\foreachsolution[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">data set</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">body</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 671--><p class="noindent" >
-This is equivalent to <span
-class="ec-lmtt-10x-x-109">\foreachsolution</span>, but only iterates through problems
-that contain the <span
-class="ec-lmss-10x-x-109">onlysolution</span><a
- id="dx1-11008"></a><a
- id="dx1-11009"></a> environment. Note that you still need to use
-<span
-class="ec-lmtt-10x-x-109">\showanswers</span><a
- id="dx1-11010"></a> or the <span
-class="ec-lmss-10x-x-109">answers</span><a
- id="dx1-11011"></a> package option for the contents of the <span
-class="ec-lmss-10x-x-109">onlysolution</span><a
- id="dx1-11012"></a><a
- id="dx1-11013"></a>
-environment to appear.
-</p><!--l. 678--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\foreachdataset</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-11014"></a> <span
-class="ec-lmtt-10x-x-109">\foreachdataset{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">cmd</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">body</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 680--><p class="noindent" >
-This does <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">body</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>for each of the defined data sets. Within <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">body</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>, <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">cmd</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>will be
-set to the name of the current data set. For example, to display all problems in
-all data sets:
-
-
-</p>
- <div class="verbatim" id="verbatim-17">
-\begin{enumerate}
-&#x00A0;<br />\foreachdataset{\thisdataset}{%
-&#x00A0;<br />\foreachproblem[\thisdataset]{\item\thisproblem}}
-&#x00A0;<br />\end{enumerate}
-</div>
-<!--l. 689--><p class="nopar" >
-</p><!--l. 691--><p class="indent" > Suppose I have two external files called <span
-class="ec-lmtt-10x-x-109">derivatives.tex </span>and
-<span
-class="ec-lmtt-10x-x-109">probspaces.tex </span>which define problems using both <span
-class="ec-lmss-10x-x-109">onlyproblem</span><a
- id="dx1-11015"></a><a
- id="dx1-11016"></a> and <span
-class="ec-lmss-10x-x-109">onlysolution</span><a
- id="dx1-11017"></a><a
- id="dx1-11018"></a>
-for example:
-
-
-</p>
- <div class="verbatim" id="verbatim-18">
-\begin{defproblem}{cosxsqsinx}%
-&#x00A0;<br />\begin{onlyproblem}%
-&#x00A0;<br />$y&#x00A0;=&#x00A0;\cos(x^2)\sin&#x00A0;x$.%
-&#x00A0;<br />\end{onlyproblem}%
-&#x00A0;<br />\begin{onlysolution}%
-&#x00A0;<br />\[\frac{dy}{dx}&#x00A0;=&#x00A0;-\sin(x^2)2x\sin&#x00A0;x&#x00A0;+&#x00A0;\cos(x^2)\cos&#x00A0;x\]
-&#x00A0;<br />\end{onlysolution}%
-&#x00A0;<br />\end{defproblem}
-</div>
-<!--l. 704--><p class="nopar" > I can write a document that creates two data sets, one for the derivative
-problems and one for the problems about probability spaces. I can then use
-<span
-class="ec-lmtt-10x-x-109">\hideanswers</span><a
- id="dx1-11019"></a> and iterate through the require data set to produce the
-problems. Later, I can use <span
-class="ec-lmtt-10x-x-109">\showanswers</span><a
- id="dx1-11020"></a> and iterate over all problems defined
-in both data sets to produce the chapter containing all the answers. When
-displaying the questions, I have taken advantage of the fact that I can
-cross-reference items within an <span
-class="ec-lmss-10x-x-109">enumerate</span><a
- id="dx1-11021"></a><a
- id="dx1-11022"></a> environment, and redefined
-<span
-class="ec-lmtt-10x-x-109">\theenumi</span><a
- id="dx1-11023"></a> to label the questions according to the chapter. The cross-reference
-label is constructed from the problem label and is referenced in the
-answer section to ensure that the answers have the same label as the
-questions.
-
-
-</p>
- <div class="verbatim" id="verbatim-19">
-\documentclass{report}
-&#x00A0;<br />\usepackage{probsoln}
-&#x00A0;<br />\begin{document}
-&#x00A0;<br />\hideanswers
-&#x00A0;<br />\chapter{Differentiation}
-&#x00A0;<br />&#x00A0;randomly&#x00A0;select&#x00A0;25&#x00A0;problems&#x00A0;from&#x00A0;derivatives.tex&#x00A0;and&#x00A0;add&#x00A0;to
-&#x00A0;<br />&#x00A0;the&#x00A0;data&#x00A0;set&#x00A0;called&#x00A0;&#8217;deriv&#8217;
-&#x00A0;<br />\loadrandomproblems[deriv]{25}{derivatives}
-&#x00A0;<br />&#x00A0;Display&#x00A0;the&#x00A0;problems
-&#x00A0;<br />\renewcommand{\theenumi}{\thechapter.\arabic{enumi}}
-&#x00A0;<br />\begin{enumerate}
-&#x00A0;<br />\foreachproblem[deriv]{\item\label{prob:\thisproblemlabel}\thisproblem}
-&#x00A0;<br />\end{enumerate}
-&#x00A0;<br />&#x00A0;You&#x00A0;may&#x00A0;need&#x00A0;to&#x00A0;change&#x00A0;\theenumi&#x00A0;back&#x00A0;here
-&#x00A0;<br />\chapter{Probability&#x00A0;Spaces}
-&#x00A0;<br />&#x00A0;randomly&#x00A0;select&#x00A0;25&#x00A0;problems&#x00A0;from&#x00A0;probspaces.tex&#x00A0;and&#x00A0;add&#x00A0;to
-&#x00A0;<br />&#x00A0;the&#x00A0;data&#x00A0;set&#x00A0;called&#x00A0;&#8217;spaces&#8217;
-&#x00A0;<br />\loadrandomproblems[spaces]{25}{probspaces}
-&#x00A0;<br />&#x00A0;Display&#x00A0;the&#x00A0;problems
-&#x00A0;<br />\renewcommand{\theenumi}{\thechapter.\arabic{enumi}}
-&#x00A0;<br />\begin{enumerate}
-&#x00A0;<br />\foreachproblem[spaces]{\item\label{prob:\thisproblemlabel}\thisproblem}
-&#x00A0;<br />\end{enumerate}
-&#x00A0;<br />&#x00A0;You&#x00A0;may&#x00A0;need&#x00A0;to&#x00A0;change&#x00A0;\theenumi&#x00A0;back&#x00A0;here
-&#x00A0;<br />\appendix
-&#x00A0;<br />\chapter{Solutions}
-&#x00A0;<br />\showanswers
-&#x00A0;<br />\begin{itemize}
-&#x00A0;<br />\foreachdataset{\thisdataset}{%
-&#x00A0;<br />\foreachproblem[\thisdataset]{\item[\ref{prob:\thisproblemlabel}]\thisproblem}
-&#x00A0;<br />}
-&#x00A0;<br />\end{itemize}
-&#x00A0;<br />\end{document}
-</div>
-<!--l. 757--><p class="nopar" >
-
-
-</p><!--l. 759--><p class="noindent" >
-</p>
-<!--l. 759--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">10 </span> <a
- id="x1-1200010"></a>Random Number Generator</h3>
-<!--l. 761--><p class="noindent" >This package provides a pseudo-random number generator that is used by
-<span
-class="ec-lmtt-10x-x-109">\loadrandomproblems</span><a
- id="dx1-12001"></a>. As noted earlier the random number generator has been
-modified in version 3.01 in order to fix a bug. If you want to ensure that your
-random numbers are compatible with earlier versions, you can switch to the old
-generator using
-</p><!--l. 766--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\PSNuseoldrandom</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-12002"></a> <span
-class="ec-lmtt-10x-x-109">\PSNuseoldrandom </span></div><hr>
-</p><!--l. 768--><p class="noindent" >
-</p><!--l. 770--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\PSNrandseed</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-12003"></a> <span
-class="ec-lmtt-10x-x-109">\PSNrandseed{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 772--><p class="noindent" >
-This sets the seed to <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>which must be a non-zero integer. For example, to
-generate a different set of random numbers every time you <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#x00A0;your
-document,<span class="footnote-mark"><a
-href="#fn2x0" id="fn2x0-bk"><sup class="textsuperscript">2</sup></a></span><a
- id="x1-12004f2"></a>
-put the following in your preamble:
-
-
-</p>
- <div class="verbatim" id="verbatim-20">
-\PSNrandseed{\time}
-</div>
-<!--l. 780--><p class="nopar" > or to generate a different set of random numbers every year you <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#x00A0;your
-document:
-
-
-</p>
- <div class="verbatim" id="verbatim-21">
-\PSNrandseed{\year}
-</div>
-<!--l. 785--><p class="nopar" >
-</p><!--l. 787--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\PSNgetrandseed</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-12005"></a> <span
-class="ec-lmtt-10x-x-109">\PSNgetrandseed{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">register</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 789--><p class="noindent" >
-This stores the current seed in the count register specified by <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">register</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>. For
-example:
-
-
-</p>
- <div class="verbatim" id="verbatim-22">
-\newcount\myseed
-&#x00A0;<br />\PSNgetrandseed{\myseed}
-</div>
-<!--l. 796--><p class="nopar" >
-</p><!--l. 798--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\PSNrandom</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-12006"></a> <span
-class="ec-lmtt-10x-x-109">\PSNrandom{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">register</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 800--><p class="noindent" >
-Generates a random integer from 1 to <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>and stores in the count register
-specified by <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">register</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>. For example, the following generates an integer from 1 to
-10 and stores it in the register <span
-class="ec-lmtt-10x-x-109">\myreg</span>:
-
-
-</p>
- <div class="verbatim" id="verbatim-23">
-\newcount\myreg
-&#x00A0;<br />\PSNrandom{\myreg}{10}
-</div>
-<!--l. 808--><p class="nopar" >
-</p><!--l. 810--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\random</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-12007"></a> <span
-class="ec-lmtt-10x-x-109">\random{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">counter</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">min</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">max</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 812--><p class="noindent" >
-Generates a random integer from <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">min</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>to <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">max</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>and stores in the given
-counter. For example, the following generates a random number between 3 and
-8 (inclusive) and stores it in the counter <span
-class="ec-lmtt-10x-x-109">myrand</span>.
-
-
-</p>
- <div class="verbatim" id="verbatim-24">
-\newcounter{myrand}
-&#x00A0;<br />\random{myrand}{3}{8}
-</div>
-<!--l. 820--><p class="nopar" >
-</p><!--l. 822--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\doforrandN</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-12008"></a> <span
-class="ec-lmtt-10x-x-109">\doforrandN{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">cmd</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">list</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">text</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 824--><p class="noindent" >
-Randomly selects <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>values from the comma-separated list given by
-<span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">list</span><span
-class="lmsy-10x-x-109">&#x27E9; </span>and iterates through this subset. On each iteration it sets <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">cmd</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>
-to the current value and does <span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">text</span><span
-class="lmsy-10x-x-109">&#x27E9;</span>. For example, the following will
-load a randomly selected problem from two of the listed files (where
-<span
-class="ec-lmtt-10x-x-109">file1.tex</span>, <span
-class="ec-lmtt-10x-x-109">file2.tex </span>and <span
-class="ec-lmtt-10x-x-109">file3.tex </span>are files containing at least one
-problem):
-
-
-</p>
- <div class="verbatim" id="verbatim-25">
-\doforrandN{2}{\thisfile}{file1,file2,file3}{%
-&#x00A0;<br />\loadrandomproblems{1}{\thisfile}}
-</div>
-<!--l. 835--><p class="nopar" >
-</p><!--l. 837--><p class="noindent" >
-</p>
-<!--l. 837--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="sectionHead"><span class="titlemark">11 </span> <a
- id="x1-1300011"></a>Compatibility With Versions Prior to 3.0</h3>
-<!--l. 839--><p class="noindent" >Version 3.0 of the <span
-class="ec-lmss-10x-x-109">probsoln</span><a
- id="dx1-13001"></a> package completely changed the structure of the
-package, but the commands described in this section have been provided to
-maintain compatibility with earlier versions. The only problems that are likely
-to occur are those where commands are contained within groups. This will effect
-any commands that are contained in external files that are outside of the
-arguments to <span
-class="ec-lmtt-10x-x-109">\newproblem</span><a
- id="dx1-13002"></a> and <span
-class="ec-lmtt-10x-x-109">\newproblem*</span><a
- id="dx1-13003"></a>. However, since the external files
-had to be parsed twice in order to load the problems, this shouldn&#8217;t be an issue
-as adding anything other than problem definitions in those files would be
-problematic anyway.
-</p><!--l. 851--><p class="indent" > The other likely difference is where the random generator is used in a group.
-This includes commands such as <span
-class="ec-lmtt-10x-x-109">\selectrandomly</span><a
- id="dx1-13004"></a>. For example, if your
-document contained something like:
-
-
-</p>
- <div class="verbatim" id="verbatim-26">
-\begin{enumerate}
-&#x00A0;<br />\selectrandomly{file1}{8}
-&#x00A0;<br />\item&#x00A0;Solve&#x00A0;the&#x00A0;following:
-&#x00A0;<br />\begin{enumerate}
-&#x00A0;<br />\selectrandomly{file2}{4}
-&#x00A0;<br />\end{enumerate}
-&#x00A0;<br />\selectrandomly{file3}{2}
-&#x00A0;<br />\end{enumerate}
-</div>
-<!--l. 866--><p class="nopar" > Then using versions prior to v3.0 will produce a different set of random
-numbers since the second <span
-class="ec-lmtt-10x-x-109">\selectrandomly </span>is in a different level of grouping. If
-you want to ensure that the document produces exactly the same random set
-with the new version as with the old version, you will need to get and set the
-random number seed. For example, the above would need to be modified so that
-it becomes:
-
-
-</p>
- <div class="verbatim" id="verbatim-27">
-\begin{enumerate}
-&#x00A0;<br />\selectrandomly{file1}{8}
-&#x00A0;<br />\item&#x00A0;Solve&#x00A0;the&#x00A0;following:
-&#x00A0;<br />\newcount\oldseed
-&#x00A0;<br />\PSNgetrandseed{\oldseed}
-&#x00A0;<br />\begin{enumerate}
-&#x00A0;<br />\selectrandomly{file2}{4}
-&#x00A0;<br />\end{enumerate}
-&#x00A0;<br />\PSNrandseed{\oldseed}
-&#x00A0;<br />\selectrandomly{file3}{2}
-&#x00A0;<br />\end{enumerate}
-</div>
-<!--l. 888--><p class="nopar" >
-</p><!--l. 890--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\selectrandomly</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-13005"></a> <span
-class="ec-lmtt-10x-x-109">\selectrandomly{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 892--><p class="noindent" >
-This is now equivalent to: <span class="obeylines-h">
- <span
-class="ec-lmtt-10x-x-109">{\loadrandomproblems[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">n</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}}%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\foreachproblem[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{\PSNitem\thisproblem\endPSNitem}</span></span>
-</p><!--l. 899--><p class="indent" > <hr><div title="Definition"><span class="marginpar"><span
-class="ec-lmtt-10">\selectallproblems</span><span
-class="ec-lmtt-10">&#x00A0;</span></span><a
- id="dx1-13006"></a> <span
-class="ec-lmtt-10x-x-109">\selectallproblems{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">} </span></div><hr>
-</p><!--l. 901--><p class="noindent" >
-This is now equivalent to: <span class="obeylines-h">
- <span
-class="ec-lmtt-10x-x-109">{\loadallproblems[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">}}%</span>
- <br /><span
-class="ec-lmtt-10x-x-109">\foreachproblem[</span><span
-class="lmsy-10x-x-109">&#x27E8;</span><span
-class="ec-lmri-10x-x-109">filename</span><span
-class="lmsy-10x-x-109">&#x27E9;</span><span
-class="ec-lmtt-10x-x-109">]{\PSNitem\thisproblem\endPSNitem}</span></span>
-</p><!--l. 908--><p class="indent" > Note that in both the above cases, a new data set is created with the same
-name as the file name.
-
-
-</p><!--l. 911--><p class="indent" > <a
- id="likesection.1"></a><a
- id="Q1-1-14"></a>
-</p>
-<!--l. 2--><p class="noindent" ><a
-href="#top">Top</a></p><h3 class="likesectionHead"><a
- id="x1-1400011"></a>Index</h3>
-<!--l. 4--><p class="noindent" > <span
-class="ec-lmbx-10x-x-109">B</span>
-</p>
- <div class="theindex"><span class="index-item"><span
-class="ec-lmss-10x-x-109">babel </span>package&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7011" >1</a> <br /></span>
-<p class="theindex"> <span
-class="ec-lmbx-10x-x-109">C</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\ClearUsedFile</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-10006" ><span
-class="ec-lmri-10x-x-109">2</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\correctitem</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6015" ><span
-class="ec-lmri-10x-x-109">3</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\correctitemformat</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6018" ><span
-class="ec-lmri-10x-x-109">4</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">D</span>
-<span class="index-item"><span
-class="ec-lmtt-10x-x-109">defproblem </span>(environment)&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5020" ><span class="underline">5</span></a>, <a
-href="probsoln-manual.html#dx1-5025" ><span class="underline">6</span></a>, <a
-href="probsoln-manual.html#dx1-7008" ><span
-class="ec-lmri-10x-x-109">7</span></a>, <a
-href="probsoln-manual.html#dx1-7016" ><span class="underline">8</span></a>, <a
-href="probsoln-manual.html#dx1-7020" ><span class="underline">9</span></a>, <a
-href="probsoln-manual.html#dx1-7030" ><span class="underline">10</span></a>, <a
-href="probsoln-manual.html#dx1-8001" ><span class="underline">11</span></a>, <a
-href="probsoln-manual.html#dx1-9008" ><span class="underline">12</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\doforrandN</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-12008" ><span
-class="ec-lmri-10x-x-109">13</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">E</span>
-<span class="index-item"><span
-class="ec-lmtt-10x-x-109">enumerate </span>(environment)&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6011" ><span class="underline">14</span></a>, <a
-href="probsoln-manual.html#dx1-6013" ><span class="underline">15</span></a>, <a
-href="probsoln-manual.html#dx1-11021" ><span class="underline">16</span></a> <br /></span>
-<span class="index-item">environments:<br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmtt-10x-x-109">defproblem</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5021" ><span class="underline">17</span></a>, <a
-href="probsoln-manual.html#dx1-5026" ><span class="underline">18</span></a>, <a
-href="probsoln-manual.html#dx1-7009" ><span
-class="ec-lmri-10x-x-109">19</span></a>, <a
-href="probsoln-manual.html#dx1-7017" ><span class="underline">20</span></a>, <a
-href="probsoln-manual.html#dx1-7021" ><span class="underline">21</span></a>, <a
-href="probsoln-manual.html#dx1-7031" ><span class="underline">22</span></a>, <a
-href="probsoln-manual.html#dx1-8002" ><span class="underline">23</span></a>, <a
-href="probsoln-manual.html#dx1-9009" ><span class="underline">24</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmtt-10x-x-109">enumerate</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6012" ><span class="underline">25</span></a>, <a
-href="probsoln-manual.html#dx1-6014" ><span class="underline">26</span></a>, <a
-href="probsoln-manual.html#dx1-11022" ><span class="underline">27</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmtt-10x-x-109">onlyproblem</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5009" ><span
-class="ec-lmri-10x-x-109">28</span></a>, <a
-href="probsoln-manual.html#dx1-5015" ><span class="underline">29</span></a>, <a
-href="probsoln-manual.html#dx1-5017" ><span class="underline">30</span></a>, <a
-href="probsoln-manual.html#dx1-5024" ><span class="underline">31</span></a>, <a
-href="probsoln-manual.html#dx1-7002" ><span class="underline">32</span></a>, <a
-href="probsoln-manual.html#dx1-7013" ><span class="underline">33</span></a>, <a
-href="probsoln-manual.html#dx1-11016" ><span class="underline">34</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmtt-10x-x-109">onlysolution</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5011" ><span
-class="ec-lmri-10x-x-109">35</span></a>, <a
-href="probsoln-manual.html#dx1-5019" ><span class="underline">36</span></a>, <a
-href="probsoln-manual.html#dx1-7004" ><span class="underline">37</span></a>, <a
-href="probsoln-manual.html#dx1-7015" ><span class="underline">38</span></a>, <a
-href="probsoln-manual.html#dx1-11009" ><span class="underline">39</span></a>, <a
-href="probsoln-manual.html#dx1-11013" ><span class="underline">40</span></a>, <a
-href="probsoln-manual.html#dx1-11018" ><span class="underline">41</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmtt-10x-x-109">solution</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6002" ><span
-class="ec-lmri-10x-x-109">42</span></a>, <a
-href="probsoln-manual.html#dx1-6005" ><span class="underline">43</span></a>, <a
-href="probsoln-manual.html#dx1-6008" ><span class="underline">44</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmtt-10x-x-109">textenum</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6010" ><span
-class="ec-lmri-10x-x-109">45</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\ExcludePreviousFile</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-10007" ><span
-class="ec-lmri-10x-x-109">46</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">F</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\foreachdataset</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-11014" ><span
-class="ec-lmri-10x-x-109">47</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\foreachproblem</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7023" ><span class="underline">48</span></a>, <a
-href="probsoln-manual.html#dx1-7028" ><span class="underline">49</span></a>, <a
-href="probsoln-manual.html#dx1-11002" ><span
-class="ec-lmri-10x-x-109">50</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\foreachsolution</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5022" ><span class="underline">51</span></a>, <a
-href="probsoln-manual.html#dx1-11007" ><span
-class="ec-lmri-10x-x-109">52</span></a> <br /></span>
-<span class="index-item"><span
-class="ec-lmss-10x-x-109">fp </span>package&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7026" >53</a> <br /></span>
-<span class="index-item">fragile&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-4001" ><span class="underline">54</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">H</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\hideanswers</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5004" ><span
-class="ec-lmri-10x-x-109">55</span></a>, <a
-href="probsoln-manual.html#dx1-7007" ><span class="underline">56</span></a>, <a
-href="probsoln-manual.html#dx1-11019" ><span class="underline">57</span></a> <br /></span>
-
-
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">I</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\ifshowanswers</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5007" ><span class="underline">58</span></a>, <a
-href="probsoln-manual.html#dx1-6006" ><span class="underline">59</span></a> <br /></span>
-<span class="index-item"><span
-class="ec-lmss-10x-x-109">ifthen </span>package&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5006" >60</a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\include</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7019" ><span class="underline">61</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\incorrectitem</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6016" ><span
-class="ec-lmri-10x-x-109">62</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\incorrectitemformat</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6019" ><span
-class="ec-lmri-10x-x-109">63</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\input</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7018" ><span class="underline">64</span></a>, <a
-href="probsoln-manual.html#dx1-9001" ><span class="underline">65</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\item</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6017" ><span class="underline">66</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">L</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\loadallproblems</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-9002" ><span
-class="ec-lmri-10x-x-109">67</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\loadexceptproblems</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-9004" ><span
-class="ec-lmri-10x-x-109">68</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\loadrandomexcept</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-9006" ><span
-class="ec-lmri-10x-x-109">69</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\loadrandomproblems</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-9005" ><span
-class="ec-lmri-10x-x-109">70</span></a>, <a
-href="probsoln-manual.html#dx1-12001" ><span class="underline">71</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\loadselectedproblems</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-9003" ><span
-class="ec-lmri-10x-x-109">72</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">N</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\newproblem</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7025" ><span
-class="ec-lmri-10x-x-109">73</span></a>, <a
-href="probsoln-manual.html#dx1-8003" ><span class="underline">74</span></a>, <a
-href="probsoln-manual.html#dx1-9010" ><span class="underline">75</span></a>, <a
-href="probsoln-manual.html#dx1-13002" ><span class="underline">76</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\newproblem*</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7029" ><span
-class="ec-lmri-10x-x-109">77</span></a>, <a
-href="probsoln-manual.html#dx1-9011" ><span class="underline">78</span></a>, <a
-href="probsoln-manual.html#dx1-13003" ><span class="underline">79</span></a> <br /></span>
-<span class="index-item"><span
-class="ec-lmss-10x-x-109">ngerman </span>package&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7010" >80</a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">O</span>
-<span class="index-item"><span
-class="ec-lmtt-10x-x-109">onlyproblem </span>(environment)&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5008" ><span
-class="ec-lmri-10x-x-109">81</span></a>, <a
-href="probsoln-manual.html#dx1-5014" ><span class="underline">82</span></a>, <a
-href="probsoln-manual.html#dx1-5016" ><span class="underline">83</span></a>, <a
-href="probsoln-manual.html#dx1-5023" ><span class="underline">84</span></a>, <a
-href="probsoln-manual.html#dx1-7001" ><span class="underline">85</span></a>, <a
-href="probsoln-manual.html#dx1-7012" ><span class="underline">86</span></a>, <a
-href="probsoln-manual.html#dx1-11015" ><span class="underline">87</span></a> <br /></span>
-<span class="index-item"><span
-class="ec-lmtt-10x-x-109">onlysolution </span>(environment)&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5010" ><span
-class="ec-lmri-10x-x-109">88</span></a>, <a
-href="probsoln-manual.html#dx1-5018" ><span class="underline">89</span></a>, <a
-href="probsoln-manual.html#dx1-7003" ><span class="underline">90</span></a>, <a
-href="probsoln-manual.html#dx1-7014" ><span class="underline">91</span></a>, <a
-href="probsoln-manual.html#dx1-11008" ><span class="underline">92</span></a>, <a
-href="probsoln-manual.html#dx1-11012" ><span class="underline">93</span></a>, <a
-href="probsoln-manual.html#dx1-11017" ><span class="underline">94</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">P</span>
-<span class="index-item">package options:<br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmss-10x-x-109">answers</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-3001" ><span class="underline">95</span></a>, <a
-href="probsoln-manual.html#dx1-5001" ><span class="underline">96</span></a>, <a
-href="probsoln-manual.html#dx1-11011" ><span class="underline">97</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmss-10x-x-109">draft</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-3003" ><span class="underline">98</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmss-10x-x-109">final</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-3004" ><span class="underline">99</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmss-10x-x-109">noanswers</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-3002" ><span class="underline">100</span></a>, <a
-href="probsoln-manual.html#dx1-5002" ><span class="underline">101</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmss-10x-x-109">nousedefaultargs</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-3007" ><span class="underline">102</span></a> <br /></span>
-<span class="index-subitem">&#x00A0;&#x00A0;&#x00A0;&#x00A0;<span
-class="ec-lmss-10x-x-109">usedefaultargs</span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-3005" ><span class="underline">103</span></a>, <a
-href="probsoln-manual.html#dx1-7024" ><span class="underline">104</span></a>, <a
-href="probsoln-manual.html#dx1-11005" ><span class="underline">105</span></a> <br /></span>
-<span class="index-item"><span
-class="ec-lmss-10x-x-109">pgfmath </span>package&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-7027" >106</a> <br /></span>
-<span class="index-item"><span
-class="ec-lmss-10x-x-109">probsoln </span>package&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-10001" >107</a>, <a
-href="probsoln-manual.html#dx1-10008" >108</a>, <a
-href="probsoln-manual.html#dx1-13001" >109</a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\ProbSolnFragileExt</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-4002" ><span
-class="ec-lmri-10x-x-109">110</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\ProbSolnFragileFile</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-4003" ><span
-class="ec-lmri-10x-x-109">111</span></a> <br /></span>
-
-
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\PSNgetrandseed</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-12005" ><span
-class="ec-lmri-10x-x-109">112</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\PSNrandom</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-12006" ><span
-class="ec-lmri-10x-x-109">113</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\PSNrandseed</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-12003" ><span
-class="ec-lmri-10x-x-109">114</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\PSNuseoldrandom</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-9007" ><span
-class="ec-lmri-10x-x-109">115</span></a>, <a
-href="probsoln-manual.html#dx1-12002" ><span
-class="ec-lmri-10x-x-109">116</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">R</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\random</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-12007" ><span
-class="ec-lmri-10x-x-109">117</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">S</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\selectallproblems</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-13006" ><span
-class="ec-lmri-10x-x-109">118</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\selectrandomly</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-13004" ><span class="underline">119</span></a>, <a
-href="probsoln-manual.html#dx1-13005" ><span
-class="ec-lmri-10x-x-109">120</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\SetStartMonth</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-10002" ><span
-class="ec-lmri-10x-x-109">121</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\SetStartYear</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-10004" ><span
-class="ec-lmri-10x-x-109">122</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\SetUsedFileName</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-10005" ><span
-class="ec-lmri-10x-x-109">123</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\showanswers</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5003" ><span
-class="ec-lmri-10x-x-109">124</span></a>, <a
-href="probsoln-manual.html#dx1-7006" ><span class="underline">125</span></a>, <a
-href="probsoln-manual.html#dx1-11010" ><span class="underline">126</span></a>, <a
-href="probsoln-manual.html#dx1-11020" ><span class="underline">127</span></a> <br /></span>
-<span class="index-item"><span
-class="ec-lmss-10x-x-109">showanswers </span>boolean variable&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-5005" >128</a>, <a
-href="probsoln-manual.html#dx1-5012" >129</a>, <a
-href="probsoln-manual.html#dx1-5013" >130</a>, <a
-href="probsoln-manual.html#dx1-7005" >131</a> <br /></span>
-<span class="index-item"><span
-class="ec-lmtt-10x-x-109">solution </span>(environment)&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6001" ><span
-class="ec-lmri-10x-x-109">132</span></a>, <a
-href="probsoln-manual.html#dx1-6004" ><span class="underline">133</span></a>, <a
-href="probsoln-manual.html#dx1-6007" ><span class="underline">134</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\solutionname</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6003" ><span
-class="ec-lmri-10x-x-109">135</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">T</span>
-<span class="index-item"><span
-class="ec-lmtt-10x-x-109">textenum </span>(environment)&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-6009" ><span
-class="ec-lmri-10x-x-109">136</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\theenumi</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-11023" ><span class="underline">137</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\thisproblem</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-3006" ><span class="underline">138</span></a>, <a
-href="probsoln-manual.html#dx1-3008" ><span class="underline">139</span></a>, <a
-href="probsoln-manual.html#dx1-7022" ><span class="underline">140</span></a>, <a
-href="probsoln-manual.html#dx1-11003" ><span
-class="ec-lmri-10x-x-109">141</span></a> <br /></span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\thisproblemlabel</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-11004" ><span
-class="ec-lmri-10x-x-109">142</span></a> <br /></span>
-</p><p class="theindex"> <span
-class="ec-lmbx-10x-x-109">U</span>
-<span class="index-item"><span class="obeylines-h"><span class="verb"><span
-class="ec-lmtt-10x-x-109">\useproblem</span></span></span>&#x00A0;&#x00A0;<a
-href="probsoln-manual.html#dx1-8004" ><span
-class="ec-lmri-10x-x-109">143</span></a>, <a
-href="probsoln-manual.html#dx1-11001" ><span class="underline">144</span></a>, <a
-href="probsoln-manual.html#dx1-11006" ><span class="underline">145</span></a> <br /></span>
-</p></div>
- <div class="footnotes"><!--l. 543--><p class="indent" > <span class="footnote-mark"><a
-href="#fn1x0-bk" id="fn1x0">
-<sup class="textsuperscript">1</sup></a></span><span
-class="ec-lmr-9">So don&#8217;t use </span><span
-class="ec-lmtt-9">\SetStartMonth </span><span
-class="ec-lmr-9">after </span><span
-class="ec-lmtt-9">\SetStartYear</span><span
-class="ec-lmr-9">.</span></p><!--l. 776--><p class="indent" > <span class="footnote-mark"><a
-href="#fn2x0-bk" id="fn2x0">
-<sup class="textsuperscript">2</sup></a></span><span
-class="ec-lmr-9">assuming you leave at least a minute between runs.</span></p> </div>
-
-</body></html>
-
-
-
-