[BACK]Return to Math_Response_Problems.tex CVS log [TXT] [DIR] Up to [LON-CAPA] / loncom / html / adm / help / tex

Diff for /loncom/html/adm/help/tex/Math_Response_Problems.tex between versions 1.1 and 1.2

version 1.1, 2007/01/22 21:49:26 version 1.2, 2007/05/22 00:55:09
Line 11  The answerdisplay is what is displayed w Line 11  The answerdisplay is what is displayed w
 The following example illustrates this.  The following example illustrates this.
 \begin{verbatim}  \begin{verbatim}
 <problem>  <problem>
 <script type="loncapa/perl">    <script type="loncapa/perl">
 $a1 = random(-6,6,4);  $a1 = random(-6,6,4);
 $a2 = random(-6,6,4);  $a2 = random(-6,6,4);
 $n1 = random(3,11,2);  $n1 = random(3,11,2);
 $n2 = random(2,10,2);  $n2 = random(2,10,2);
 $function = "$a1*cos($n1*x)+$a2*sin($n2*x)";  $function = "$a1*cos($n1*x)+$a2*sin($n2*x)";
 $example=&xmlparse('An example would be <m eval="on">$(sin($n1\cdot x)+cos($n2\cdot x))/\sqrt{2}$</m>');</script>  $example=&xmlparse('An example would be <m eval="on">$(sin($n1\cdot x)+cos($n2\cdot x))/\sqrt{2}$</m>');
     </script>
   
 <startouttext />  <startouttext />
 Give an example of a function    Give an example of a function
 <ol>    <ol>
 <li>which is orthogonal to <algebra>$function</algebra> with respect to the      <li>
 scalar product          which is orthogonal to <algebra>$function</algebra> with respect to the
 <m>\[<g \mid h> =          scalar product
 \frac{1}{\pi} \int_{-\pi}^{\pi}dx g(x) \cdot h(x)\]</m>          <m>
 </li>             \[<g \mid h> =
 <li>whose norm is 1.</li>                 \frac{1}{\pi} \int_{-\pi}^{\pi}dx g(x) \cdot h(x)\]
 </ol><endouttext />          </m>
       </li>
       <li>
           whose norm is 1.
       </li>
     </ol>
   <endouttext />
   
 <mathresponse answerdisplay="$example" cas="maxima" args="$function">  <mathresponse answerdisplay="$example" cas="maxima" args="$function">
 <answer>overlap:integrate((RESPONSE[1])*(LONCAPALIST[1]),x,-%pi,%pi)/%pi;      <answer>
   overlap:integrate((RESPONSE[1])*(LONCAPALIST[1]),x,-%pi,%pi)/%pi;
 norm:integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;  norm:integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
 is(overlap=0 and norm=1);</answer>  is(overlap=0 and norm=1);
 <textline readonly="no" size="50" />      </answer>
 <hintgroup showoncorrect="no">      <textline readonly="no" size="50" />
 <mathhint name="ortho" args="$function" cas="maxima">      <hintgroup showoncorrect="no">
 <answer>overlap: integrate((LONCAPALIST[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;          <mathhint name="ortho" args="$function" cas="maxima">
 is(not overlap = 0);</answer>              <answer>
 </mathhint>  overlap: integrate((LONCAPALIST[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
 <mathhint name="norm" args="$function" cas="maxima">  is(not overlap = 0);
 <answer>norm: integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;              </answer>
 is(not norm = 1);</answer>          </mathhint>
 </mathhint> <hintpart on="norm">          <mathhint name="norm" args="$function" cas="maxima">
 <startouttext />              <answer>
 The function you have provided does not have a norm of one.<endouttext />  norm: integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
 </hintpart>  is(not norm = 1);
 <hintpart on="ortho">              </answer>
 <startouttext />          </mathhint>
 The function you have provided is not orthogonal.<endouttext />          <hintpart on="norm">
 </hintpart>             <startouttext />
 </hintgroup>  The function you have provided does not have a norm of one.
              <endouttext />
           </hintpart>
           <hintpart on="ortho">
               <startouttext />
   The function you have provided is not orthogonal.
               <endouttext />
           </hintpart>
       </hintgroup>
 </mathresponse>  </mathresponse>
 <postanswerdate><startouttext /><p>Note that with respect to the above norm, <m>$\cos(nx)$</m> is perpendicular to <m>$\sin(nx)$</m> and perpendicular to <m>$\cos(mx)$</m> for <m>$n\ne m$</m>.</p><endouttext />  
   
   <postanswerdate>
       <startouttext />
           <p>
   Note that with respect to the above norm, <m>$\cos(nx)$</m> is perpendicular
   to <m>$\sin(nx)$</m> and perpendicular to <m>$\cos(mx)$</m> for
   <m>$n\ne m$</m>.
           </p>
       <endouttext />
 </postanswerdate>  </postanswerdate>
 </problem>  </problem>
 \end{verbatim}  \end{verbatim}
Removed from v.1.1  
changed lines
  Added in v.1.2

FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>