User:5849206328x: Difference between revisions

Revision as of 07:47, 6 June 2015

$[asy] import slopefield; Label f; f.p=fontsize(6); xaxis(-1.5,1.5); yaxis(-2.5,2.5); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; pair f(real x) { return (cos(2x), -2sin(2x)); } pair g(real x) { return (sin(2x), 2cos(2x)); } draw(graph(f,0,1), red, MidArrow); draw(f(1)--(0,0)--f(0), red, Arrows); draw(graph(g,0,1), blue, MidArrow); draw(g(1)--(0,0)--g(0), blue, Arrows); draw(graph(g,pi/4,1), purple); label("$\mathbf{Y}_1(0)$",f(0),NE,red); label("$\mathbf{Y}_1(1)$",f(1),SW,red); label("$\mathbf{Y}_2(0)$",g(0),NE,blue); label("$\mathbf{Y}_2(1)$",g(1),ESE,blue); [/asy]$

@@ Line 4: / Line 4: @@
 Label f;
 f.p=fontsize(6);
-// xaxis(-1.5,1.5);
+xaxis(-1.5,1.5);
-// yaxis(-1.5,1.5);
+yaxis(-2.5,2.5);
 real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
-real f(real x) { if (x < 0) return -1; else return 1; }
+pair f(real x) { return (cos(2x), -2sin(2x)); }
-real h(real x) { if (x != 0) return sin(1/x); else return 0; }
+pair g(real x) { return (sin(2x), 2cos(2x)); }
-// draw(graph(f,-1.5,1.5,n=10000), red);
+draw(graph(f,0,1), red, MidArrow);
+draw(f(1)--(0,0)--f(0), red, Arrows);
+draw(graph(g,0,1), blue, MidArrow);
+draw(g(1)--(0,0)--g(0), blue, Arrows);
+draw(graph(g,pi/4,1), purple);
-label("$a_0b_0$",(0,0));
+label("$\mathbf{Y}_1(0)$",f(0),NE,red);
-label("$a_0b_1$",(1,0));
+label("$\mathbf{Y}_1(1)$",f(1),SW,red);
-label("$a_0b_2$",(2,0));
+label("$\mathbf{Y}_2(0)$",g(0),NE,blue);
-label("$\cdots$",(3,0));
+label("$\mathbf{Y}_2(1)$",g(1),ESE,blue);
-label("$a_1b_0$",(0,-1));
-label("$a_1b_1$",(1,-1));
-label("$a_1b_2$",(2,-1));
-label("$\cdots$",(3,-1));
-label("$a_2b_0$",(0,-2));
-label("$a_2b_1$",(1,-2));
-label("$a_2b_2$",(2,-2));
-label("$\cdots$",(3,-2));
-label("$\vdots$",(0,-3));
-label("$\vdots$",(1,-3));
-label("$\vdots$",(2,-3));
-label("$\ddots$",(3,-3));
-draw((-0.2,-0.5)--(0.5,-0.5)--(0.5,0.2));
-draw((-0.2,-1.5)--(1.5,-1.5)--(1.5,0.2));
-draw((-0.2,-2.5)--(2.5,-2.5)--(2.5,0.2));
-draw((-0.2,-0.5)--(0.5,0.2),dashed);
-draw((-0.2,-1.5)--(1.5,0.2),dashed);
-draw((-0.2,-2.5)--(2.5,0.2),dashed);
-draw((0.8,-2.5)--(2.5,-0.8),dashed);
-draw((1.8,-2.5)--(2.5,-1.8),dashed);
 </asy>

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User:5849206328x: Difference between revisions

Revision as of 07:47, 6 June 2015