@@ Line 1: / Line 1: @@
-{{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line -->
+=A=
-In the computer world, a '''sandbox''' is a place to test and experiment -- essentially, it's a place to play.
+==B==
+===C===
-This is the AoPSWiki Sandbox.  Feel free to experiment here.
+====E====
+Apple
-Warning: anything you place here is subject to deletion without notice.
-== Test 0==
-Firstly, AkshajK is awesome, and is editing this.
-What is <math> \frac{(x+y)(2x-y)(y-x)^{2}}{(x-y)(x^{2}-y^{2})(2x-y)} ???</math>
-<cmath>x</cmath>
-<cmath>x</cmath>
-What is <math> \frac{(x+y)(2x-y)(y-x)^{2}}{(x-y)(x^{2}-y^{2})(2x-y)} ???</math>
-oh.. donnoo
-==Test 1==
-<asy>
-dot((0,0));
-dot((1,0));
-dot((0,1));
-dot((1,1));
-dot((2,0));
-dot((0,2));
-dot((1,2));
-dot((2,1));
-dot((2,2));
-dot((3,0));
-dot((3,1));
-dot((3,2));
-dot((3,3));
-dot((2,3));
-dot((1,3));
-dot((0,3));
-dot((0,4));
-dot((1,4));
-dot((2,4));
-dot((3,4));
-dot((4,4));
-dot((4,3));
-dot((4,2));
-dot((4,1));
-dot((4,0));
-dot((5,0));
-dot((5,1));
-dot((5,2));
-dot((5,3));
-dot((5,4));
-dot((5,5));
-dot((4,5));
-dot((3,5));
-dot((2,5));
-dot((1,5));
-dot((0,5));
-dot((0,6));
-dot((1,6));
-dot((2,6));
-dot((3,6));
-dot((4,6));
-dot((5,6));
-dot((6,6));
-dot((6,5));
-dot((6,4));
-dot((6,3));
-dot((6,2));
-dot((6,1));
-dot((6,0));
-dot((7,0));
-dot((7,1));
-dot((7,2));
-dot((7,3));
-dot((7,4));
-dot((7,5));
-dot((7,6));
-dot((7,7));
-dot((6,7));
-dot((5,7));
-dot((4,7));
-dot((3,7));
-dot((2,7));
-dot((1,7));
-dot((0,7));
-draw((0,1)--(1,7),red);
-draw((1,7)--(7,6),red);
-draw((7,6)--(6,0),red);
-draw((6,0)--(0,1),red);
-draw((2,7)--(7,5),blue);
-draw((0,2)--(2,7),blue);
-draw((5,0)--(0,2),blue);
-draw((5,0)--(7,5),blue);
-draw((3,7)--(7,4),yellow);
-draw((7,4)--(4,0),yellow);
-draw((4,0)--(0,3),yellow);
-draw((0,3)--(3,7),yellow);
-draw((4,7)--(7,3),green);
-draw((7,3)--(3,0),green);
-draw((3,0)--(0,4),green);
-draw((0,4)--(4,7),green);
-draw((5,7)--(7,2),black);
-draw((7,2)--(2,0),black);
-draw((2,0)--(0,5),black);
-draw((0,5)--(5,7),black);
-draw((0,6)--(1,0),purple);
-draw((1,0)--(7,1),purple);
-draw((7,1)--(6,7),purple);
-draw((0,6)--(6,7),purple);
-</asy>
-awesome
-==Test 2==
-<b>Test</b>
-<asy>
-dot((0,0));
-dot((1,0));
-dot((0,1));
-dot((1,1));
-dot((0,2));
-dot((2,0));
-dot((1,2));
-dot((2,1));
-dot((2,2));
-dot((3,0));
-dot((3,1));
-dot((3,2));
-dot((3,3));
-dot((2,3));
-dot((1,3));
-dot((0,3));
-</asy>
-more asy!!!!!!!!!!!!
-<asy>
-draw((0,0)--(4,0),black);
-draw((4,3)--(4,0),black);
-draw((4,3)--(0,0),black);
-dot((0,0));
-dot((4,0));
-dot((4,3));
-</asy>
-==Test 3==
-<asy>
-dot((0,0));
-dot((0,4));
-dot((3,4444));
-dot((3,0));
-dot((1.5,2));
-draw((0,0)--(3,4444),green);
-draw((0,4)--(3,0),green);
-draw((0,0)--(0,4),red);
-draw((0,4)--(3,4),red);
-draw((3,0)--(3,4),red);
-draw((3,0)--(0,0),red);
-</asy>
-==Test 4==
-<asy>
-import graph;
-draw(Circle((0,0),20)); // graph - Circle
-</asy>
-==Test 5==
-n1000 is editing this.
-yay!
-<asy>
-pair A,B,C,D,E,F,G,H;
-A=(1,0);
-B=(2,0);
-C=(3,1);
-D=(3,2);
-E=(2,3);
-F=(1,3);
-G=(0,2);
-H=(0,1);
-path octagon,square1,square2,star,bow1,bow2;
-octagon=(A--B--C--D--E--F--G--H--cycle);
-square1=(A--C--E--G--cycle);
-square2=(B--D--F--H--cycle);
-star=(A--D--G--B--E--H--C--F--cycle);
-bow1=(A--B--F--E--cycle);
-bow2=(C--D--H--G--cycle);
-path[] all;
-all=(octagon^^square1^^square2^^star^^bow1^^bow2);
-draw(all);
-fill(octagon,blue);
-fill((bow1)^^(bow2),yellow);
-fill(all,evenodd+red);
-</asy>
-==Test 6==
-NeoMathematicalKid was here. And he broke the line of asy diagrams.
-<math>\begin{align*}\sum^4_{k=1}\left(\sum^k_{j=1}kj\right)&=\sum^4_{k=1}\left(k\sum^k_{j=1}j\right)\\
-&=\sum^4_{k=1}\left(k(1+2+\cdots +k)\right)\\
-&=\sum^4_{k=1}(k+2k+\cdots +k^2)\\
-&=(1)+(2+4)+(3+6+9)+(4+8+12+16)\\
-&=1+6+18+40\\
-&=\boxed{65}
-\end{align*}</math>
-What is <math>\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{e^{1\pi}}}}}}+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{20}}}}}}</math>?!?! I got carried away.
-==Test 7==
-<math>\int_{-\frac{877\pi}{7e^{e^{e^e}}}}^{1492.558} \sum^{9000!}_{k=0} \left(\cfrac{k^{kx+e}-\cfrac{1}{x^e-\cfrac{k-x}{k^{1337^e}+\cfrac{1}{k-x+\pi-42}}}}{x^{122.8}+\cfrac{71^k}{k+x+\cfrac{\sqrt{\sqrt{\pi^{12000.4x}}}}{94.5^{89x}}}-k^{100}100^xx^k}\right)\frac{d}{dx}+10^{10^{76}}! = ?</math>
-silentazn's trillion dollar question

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Difference between revisions of "AoPS Wiki:Sandbox"

Revision as of 21:40, 6 August 2024

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A

B

C

E