PreTeXt Sample Book: Abstract Algebra (SAMPLE ONLY)

<exercises xml:id="runestone-hodgepodge">
    <title>Hodgepodge</title>
    <exercise label="multifile-program-2">
      <statement>
        <p>
          This is a test of accessing program resources across pages by relying on what is in the database.
        </p>
      </statement>
<program interactive="activecode" add-files="addh-v1 addcpp-v1" compile-also="addcpp-v1" language="cpp">

#include "add.h"
#include &lt;iostream&gt;
using namespace std;
int main() {
int a = 1;
int b = 2;
cout &lt;&lt; "The sum of " &lt;&lt; a &lt;&lt; " and " &lt;&lt; b &lt;&lt; " is " &lt;&lt; add(a, b) &lt;&lt; endl;
}
</program>
    </exercise>
    <exercise label="true-false-exercise-with-tasks-in-exercises">
      <title>With Tasks in an Exercises Division</title>
      <introduction>
        <p>
          Structured with task, recycled earlier from earlier,
          to make sure that the tasks do not get counted as Runestone reading activities (since they are inside an <tag>exercise</tag> inside of an <tag>exercises</tag> division.
        </p>
      </introduction>
      <task label="true-false-task-in-exercises">
        <title>True/False</title>
        <idx>vector space</idx>
        <statement correct="no">
          <p>
            Every vector space has finite dimension.
          </p>
        </statement>
        <feedback>
          <p>
            The vector space of all polynomials with finite degree has a basis,
            <m>B = \{1,x,x^2,x^3,\dots\}</m>, which is infinte.
          </p>
        </feedback>
        <hint>
          <p>
            <m>P_n</m>, the vector space of polynomials with degree at most <m>n</m>,
            has dimension <m>n+1</m> by <xref ref="theorem-exponent-laws" />. [Cross-reference is just a demo,
            content is not relevant.] What happens if we relax the defintion and remove the parameter <m>n</m>?
          </p>
        </hint>
      </task>
      <task label="short-answer-task-in-exercises">
        <statement>
          <p>
            Explain your reasoning in the previous question.
          </p>
        </statement>
        <response />
      </task>
    </exercise>
  </exercises>