--- loncom/homework/templates/HintMathResponse.problem	2007/01/22 21:48:55	1.1
+++ loncom/homework/templates/HintMathResponse.problem	2010/06/11 19:50:12	1.5
@@ -1,44 +1,72 @@
- <problem>
+<problem>
+
 <script type="loncapa/perl">
-$a1 = random(-6,6,4);
-$a2 = random(-6,6,4);
-$n1 = random(3,11,2);
-$n2 = random(2,10,2);
+$a1 = &random(-6,6,4);
+$a2 = &random(-6,6,4);
+$n1 = &random(3,11,2);
+$n2 = &random(2,10,2);
 $function = "$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} $</m>');
+</script>
+
 <startouttext />
 Give an example of a function
 <ol>
-<li>which is orthogonal to <algebra>$function</algebra> with respect to the
-scalar product
-<m>\[<g \mid h> =
-\frac{1}{\pi} \int_{-\pi}^{\pi}dx g(x) \cdot h(x)\]</m>
-</li>
-<li>whose norm is 1.</li>
-</ol><endouttext />
+    <li>which is orthogonal to<br />
+<center> <algebra>$function</algebra></center>
+<br />
+ with respect to the scalar product
+        <m>\[<g \mid h> = \frac{1}{\pi} \int_{-\pi}^{\pi}dx g(x) \cdot h(x)\]</m>
+    </li>
+    <li>whose norm is 1.</li>
+</ol>
+<endouttext />
+
 <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;
-is(overlap=0 and norm=1);</answer>
-<textline readonly="no" size="50" />
-<hintgroup showoncorrect="no">
-<mathhint name="ortho" args="$function" cas="maxima">
-<answer>overlap: integrate((LONCAPALIST[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
-is(not overlap = 0);</answer>
-</mathhint>
-<mathhint name="norm" args="$function" cas="maxima">
-<answer>norm: integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
-is(not norm = 1);</answer>
-</mathhint> <hintpart on="norm">
-<startouttext />
-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>
+is(overlap=0 and norm=1);
+    </answer>
+
+    <textline readonly="no" size="50" />
+
+    <hintgroup showoncorrect="no">
+        <mathhint name="ortho" args="$function" cas="maxima">
+            <answer>
+overlap: integrate((LONCAPALIST[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
+is(not overlap = 0);
+            </answer>
+        </mathhint>
+
+        <mathhint name="norm" args="$function" cas="maxima">
+            <answer>
+norm: integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
+is(not norm = 1);
+            </answer>
+        </mathhint>
+           
+        <hintpart on="norm">
+            <startouttext />
+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>
-<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>
+
 </problem>