--- loncom/homework/templates/HintMathResponse.problem	2007/01/22 21:48:55	1.1
+++ loncom/homework/templates/HintMathResponse.problem	2007/01/23 21:16:50	1.2
@@ -1,44 +1,75 @@
- <problem>
-<script type="loncapa/perl">
+<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);
 $function = "$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>
-<startouttext />
+$example=&xmlparse('An example would be <m eval="on">$(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 />
-<mathresponse answerdisplay="$example" cas="maxima" args="$function">
-<answer>overlap:integrate((RESPONSE[1])*(LONCAPALIST[1]),x,-%pi,%pi)/%pi;
+    <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 />
+
+    <mathresponse answerdisplay="$example" cas="maxima" args="$function">
+
+        <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>
-</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>
+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>
 </problem>