Difference between revisions of "AoPS Wiki:Sandbox"

Revision as of 20:20, 21 July 2010

Welcome to the sandbox, a location to test your newfound wiki-editing abilities.

Please note that all contributions here may be deleted periodically and without warning.

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

$[asy] draw(Circle((0,0),13),linewidth(1)); draw((-12,-5)--(-5,-12)--(12,5)--cycle,linewidth(1)); draw((0,0)--(-5,-12),linewidth(1)+linetype("0 4")); dot((0,0)); label("T",(0,0),N); label("X",(-12,-5),W); label("Z",(-5,-12),S); label("Y",(12,5),E); [/asy]$ $[asy] size(3cm,3cm); pair A,B,C,D,E; A = (0,0); B = dir(108); C = B+dir(39); D = C+dir(-39); E = (1,0); draw(A--B--C--D--E--cycle,linewidth(1)); draw(A--C,linewidth(1)+linetype("0 4")); label("A",A,S); label("B",B,W); label("C",C,N); label("D",D,E); label("E",E,S); [/asy]$

@@ Line 8: / Line 8: @@
 === Sandbox Area ===
 <asy>
-draw((0,0)--(3,9),black);
+draw(Circle((0,0),13),linewidth(1));
-label("$71^\circ$",(0,0),NE);
+draw((-12,-5)--(-5,-12)--(12,5)--cycle,linewidth(1));
-draw((3,9)--(6,0),black);
+draw((0,0)--(-5,-12),linewidth(1)+linetype("0 4"));
-label("$71^\circ$",(6,0),NW);
-draw((0,0)--(6,0),black);
-label("$38^\circ$",(3,8),S);
 dot((0,0));
-dot((3,9));
-dot((6,0));
-draw((-1,7)--(2.3,5.9),black);
-draw((-1,6)--(2,6),red);
-label("$19^\circ$",(1,6),NW);
-</asy>
-<math>\lim_{x\to0}\frac{a}{x}</math>
+label("T",(0,0),N);
+label("X",(-12,-5),W);
+label("Z",(-5,-12),S);
+label("Y",(12,5),E);
-The characteristic polynomial <math>f(\lambda)</math> of the
+</asy>
-<math>3 \times 3</math> matrix
+<asy>
-<math>
-\left(
-\begin{array}{ccc}
-a & b & c \\
-d & e & f \\
-g & h & i \end{array}
-\right)</math>
-is given by the equation
-<math> f(\lambda)
-= \left|
-\begin{array}{ccc}
-\lambda - a & -b & -c \\
--d & \lambda - e & -f \\
--g & -h & \lambda - i \end{array}
-\right|.</math>
-<math>e^{\pi \cdot i}=-1</math>
+size(3cm,3cm);
+pair A,B,C,D,E;
+A = (0,0);
+B = dir(108);
+C = B+dir(39);
+D = C+dir(-39);
+E = (1,0);
+draw(A--B--C--D--E--cycle,linewidth(1));
+draw(A--C,linewidth(1)+linetype("0 4"));
+label("A",A,S);
+label("B",B,W);
+label("C",C,N);
+label("D",D,E);
+label("E",E,S);
-For <math>x=3_i</math>, <math>x^2=-9</math>.
+</asy>

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Difference between revisions of "AoPS Wiki:Sandbox"

Revision as of 20:20, 21 July 2010

Sandbox Area