Difference between revisions of "User:5849206328x"

Latest revision as of 17:35, 1 June 2023

$[asy] size(216); draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5)); label("$ct$",(0,10),N); label("$x$",(10,0),E); label("$ct'$",(5,10),N); label("$x'$",(10,5),E); dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue); label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue); [/asy]$

$[asy] size(216); pair[] nodes; for (int i = 0; i < 10; ++i) { nodes.push(dir(36 * i)); dot(dir(36 * i)); label(string(i), 1.1 * dir(36 * i)); } draw(circle(nodes[0] - 0.1, 0.1), Arrow); draw(nodes[1] -- nodes[7], Arrow); draw(nodes[2] -- nodes[4], Arrow); draw(nodes[3] -- nodes[1], Arrow); draw(nodes[4] -- nodes[8], Arrow); draw(arc(nodes[5] + 0.1, 0.1, 180, 540), Arrow); draw(nodes[6] -- nodes[2], Arrow); draw(nodes[7] -- nodes[9], Arrow); draw(nodes[8] -- nodes[6], Arrow); draw(nodes[9] -- nodes[3], Arrow); [/asy]$

$[asy] unitsize (1 cm); pair A, B, C; A = (3,2); B = intersectionpoint(arc(A,4,200,340),C--(10,0)); C = (0,0); draw(B--A--C--(8,0), Arrow(6)); draw(arc(A,4,200,340), dashed); label("$A$", A, N); label("$B$", B, SE); label("$C$", C, NNW); label("$b$", (A + C)/2, NW); label("$c$", (A + B)/2, NE); label("$\theta$", (1,0.3)); [/asy]$

@@ Line 1: / Line 1: @@
 <asy>
-import slopefield;
+size(216);
-Label f;
+draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
-f.p=fontsize(6);
+label("$ct$",(0,10),N); label("$x$",(10,0),E);
-// xaxis(-1.5,1.5);
+label("$ct'$",(5,10),N); label("$x'$",(10,5),E);
-// yaxis(-1.5,1.5);
-real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
+dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue);
-real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
+label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue);
-real f(real x) { if (x < 0) return -1; else return 1; }
+</asy>
-real h(real x) { if (x != 0) return sin(1/x); else return 0; }
-// draw(graph(f,-1.5,1.5,n=10000), red);
+<asy>
+size(216);
-label("$a_0b_0$",(0,0));
+pair[] nodes;
-label("$a_0b_1$",(1,0));
+for (int i = 0; i < 10; ++i) {
-label("$a_0b_2$",(2,0));
+  nodes.push(dir(36 * i));
-label("$\cdots$",(3,0));
+  dot(dir(36 * i));
-label("$a_1b_0$",(0,-1));
+  label(string(i), 1.1 * dir(36 * i));
-label("$a_1b_1$",(1,-1));
+}
-label("$a_1b_2$",(2,-1));
+draw(circle(nodes[0] - 0.1, 0.1), Arrow);
-label("$\cdots$",(3,-1));
+draw(nodes[1] -- nodes[7], Arrow);
-label("$a_2b_0$",(0,-2));
+draw(nodes[2] -- nodes[4], Arrow);
-label("$a_2b_1$",(1,-2));
+draw(nodes[3] -- nodes[1], Arrow);
-label("$a_2b_2$",(2,-2));
+draw(nodes[4] -- nodes[8], Arrow);
-label("$\cdots$",(3,-2));
+draw(arc(nodes[5] + 0.1, 0.1, 180, 540), Arrow);
-label("$\vdots$",(0,-3));
+draw(nodes[6] -- nodes[2], Arrow);
-label("$\vdots$",(1,-3));
+draw(nodes[7] -- nodes[9], Arrow);
-label("$\vdots$",(2,-3));
+draw(nodes[8] -- nodes[6], Arrow);
-label("$\ddots$",(3,-3));
+draw(nodes[9] -- nodes[3], Arrow);
+</asy>
-draw((-0.2,-0.5)--(0.5,-0.5)--(0.5,0.2));
+<asy>
-draw((-0.2,-1.5)--(1.5,-1.5)--(1.5,0.2));
+unitsize (1 cm);
-draw((-0.2,-2.5)--(2.5,-2.5)--(2.5,0.2));
-draw((-0.2,-0.5)--(0.5,0.2),dashed);
+pair A, B, C;
-draw((-0.2,-1.5)--(1.5,0.2),dashed);
-draw((-0.2,-2.5)--(2.5,0.2),dashed);
+A = (3,2);
-draw((0.8,-2.5)--(2.5,-0.8),dashed);
+B = intersectionpoint(arc(A,4,200,340),C--(10,0));
-draw((1.8,-2.5)--(2.5,-1.8),dashed);
+C = (0,0);
+draw(B--A--C--(8,0), Arrow(6));
+draw(arc(A,4,200,340), dashed);
+label("$A$", A, N);
+label("$B$", B, SE);
+label("$C$", C, NNW);
+label("$b$", (A + C)/2, NW);
+label("$c$", (A + B)/2, NE);
+label("$\theta$", (1,0.3));
 </asy>

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Difference between revisions of "User:5849206328x"

Latest revision as of 17:35, 1 June 2023