Art of Problem Solving

AoPS Wiki:Sandbox: Difference between revisions

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<asy>
<asy>
size(200pt);
unitsize(3mm);
defaultpen(1);
fill((-4,-4)--(-4,4)--(4,4)--(4,-4)--cycle,blue);
pair A=(0,0), B=(220,0);
fill((-2,-2)--(-2,2)--(2,2)--(2,-2)--cycle,red);
label("A",A,SW);
path onewhite=(-1,3)--(0,4)--(1,3)--(0,2)--cycle;
label("<math>B</math>",B,SE);
fill(onewhite,white);
path whites=shift((-2,0))*onewhite^^shift((2,0))*onewhite;
fill(whites,white);
fill(rotate(90)*whites,white);
fill(rotate(180)*whites,white);
fill(rotate(270)*whites,white);
</asy>
</asy>
<asy>
size(200pt);
defaultpen(1);
pair A=(0,0), B=(220,0);
label("A",A,SW);
label("\begin{math}B_k\end{math}",B,SE);
</asy>
----
test
<problem>
<contest>AIME</contest>
<version>I</version>
<year>2007</year>
<probnum>3</probnum>
<question>
Prove that <math>a^2+b^2=c^2</math> in a right triangle.
</question>
<solution>
"Because I said so" -- Pythagoras
</solution>
</problem>
If anybody knows how to embed XML tags in a Wiki page so that they ''don't '' display, but are still there, please post here.
<script type='text/javascript' language='javascript'>
alert("If this display, it seems like a huge security flaw.");
</script>
<math>\mathrm{Test\;of\;mathrm}</math>
I am also testing dollars signs:
<math>x+3=5</math><math>5+3=x</math>
Testing dollar signs <math>x^2 + 3 = 4</math>
Testing multiple dollar signs: <math>r^2+2 = 7</math>
and then,
<math>r^3-2 = 9</math>
<math>\</math>  <math>x^2 + 3 = 4</math>
Dollar signs.
<math>\dfrac{y}{r}=\sin \theta</math>
<math>\frac{m}{n}</math>
<cmath>cheesecake</cmath>
LaTeX didn't show up in the previews because the last } was missing.
<math>\frac{\sqrt{b^2-4aq}}{2\pi+3\pi+4\pi}</math>
test
testing asy
<asy>
pair A,B;
A=(0,0);
B=(1,1);
draw(A--B);
dot((0,0));
dot((1,1));
label("<math>A</math>",A,W);
label("<math>B</math>",B,N);
</asy>
----
[[Image:Sin_and_cos.jpg]]
A proof without words that <math>sin'=cos</math> and <math>cos'=-sin</math>.    --[[User:Dustball|Dustball]] 19:39, 6 January 2008 (EST)
----
<strike>This text is stricken.</strike>
<center>This text is centered.</center>
''This text is italicized.''
'''This text is bolded.'''
<small>This text is small.</small>
<big>This text is big.</big>
: This text is indented.

Revision as of 10:29, 11 February 2008

Template:AoPSWiki:Sandbox/header In the computer world, a sandbox is a place to test and experiment -- essentially, it's a place to play.

This is the AoPSWiki Sandbox. Feel free to experiment here.

Warning: anything you place here is subject to deletion without notice.

Sandbox Area

[asy] unitsize(3mm); fill((-4,-4)--(-4,4)--(4,4)--(4,-4)--cycle,blue); fill((-2,-2)--(-2,2)--(2,2)--(2,-2)--cycle,red); path onewhite=(-1,3)--(0,4)--(1,3)--(0,2)--cycle; fill(onewhite,white); path whites=shift((-2,0))*onewhite^^shift((2,0))*onewhite; fill(whites,white); fill(rotate(90)*whites,white); fill(rotate(180)*whites,white); fill(rotate(270)*whites,white); [/asy]