File:
[LON-CAPA] /
loncom /
homework /
templates /
HintMathResponse.problem
Revision
1.4:
download - view:
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select for diffs
Mon Jul 6 17:12:47 2009 UTC (15 years ago) by
bisitz
Branches:
MAIN
CVS tags:
version_2_9_99_0,
bz6209-base,
bz6209,
bz2851,
PRINT_INCOMPLETE_base,
PRINT_INCOMPLETE,
HEAD,
GCI_3
Consistent problem templates:
- New line after each tag (not for texts in foils)
- One empty row after each end tag and before new start tag for second level tags
- No indentation for second level tags, e.g. <script>
- Four white spaces as indentation for each further sub level
Exceptions:
-Content (mostly text) in separate line(s): no indentation
- Concept groups: same indentation as foilgroup
(allows to insert code from problems without concept groups without changing the indentation and vice versa)
- No new line at end of template
- Removed new lines from within the middle of default texts
- Added one blank each after "<m>$" and before "$</m>" to ensure no misinterpretation neither by human nor by machine (e.g. "<m>$x" is not "<m>$ $x")
- Replaced deprecated font tag in <instructorcomment> by CSS
- Removed dos line endings
- dos2unix conversion
(ClickImageExample.problem, RandomLabelExample.problem, SimpleMatching.problem)
1: <problem>
2:
3: <script type="loncapa/perl">
4: $a1 = &random(-6,6,4);
5: $a2 = &random(-6,6,4);
6: $n1 = &random(3,11,2);
7: $n2 = &random(2,10,2);
8: $function = "$a1*cos($n1*x)+$a2*sin($n2*x)";
9: $example=&xmlparse('An example would be <m eval="on">$ (sin($n1\cdot x)+cos($n2\cdot x))/\sqrt{2} $</m>');
10: </script>
11:
12: <startouttext />
13: Give an example of a function
14: <ol>
15: <li>which is orthogonal to <algebra>$function</algebra> with respect to the scalar product
16: <m>\[<g \mid h> = \frac{1}{\pi} \int_{-\pi}^{\pi}dx g(x) \cdot h(x)\]</m>
17: </li>
18: <li>whose norm is 1.</li>
19: </ol>
20: <endouttext />
21:
22: <mathresponse answerdisplay="$example" cas="maxima" args="$function">
23: <answer>
24: overlap:integrate((RESPONSE[1])*(LONCAPALIST[1]),x,-%pi,%pi)/%pi;
25: norm:integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
26: is(overlap=0 and norm=1);
27: </answer>
28:
29: <textline readonly="no" size="50" />
30:
31: <hintgroup showoncorrect="no">
32: <mathhint name="ortho" args="$function" cas="maxima">
33: <answer>
34: overlap: integrate((LONCAPALIST[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
35: is(not overlap = 0);
36: </answer>
37: </mathhint>
38:
39: <mathhint name="norm" args="$function" cas="maxima">
40: <answer>
41: norm: integrate((RESPONSE[1])*(RESPONSE[1]),x,-%pi,%pi)/%pi;
42: is(not norm = 1);
43: </answer>
44: </mathhint>
45:
46: <hintpart on="norm">
47: <startouttext />
48: The function you have provided does not have a norm of one.
49: <endouttext />
50: </hintpart>
51:
52: <hintpart on="ortho">
53: <startouttext />
54: The function you have provided is not orthogonal.
55: <endouttext />
56: </hintpart>
57:
58: </hintgroup>
59: </mathresponse>
60:
61: <postanswerdate>
62: <startouttext />
63: <p>
64: 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>.
65: </p>
66: <endouttext />
67: </postanswerdate>
68:
69: </problem>
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