User:5849206328x: Difference between revisions

Revision as of 18:25, 26 July 2015

$[asy] size(360); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; xaxis(-1,1,Bars); yaxis(-1,1,Bars); real f(real x, real v) { return (x + v)/(1 + x * v); } real f0(real x) { return f(x,0); } real f1(real x) { return f(x,0.1); } real f5(real x) { return f(x,0.5); } real f9(real x) { return f(x,0.9); } dot((-1,-1)); dot((1,1)); draw(graph(f0,-1,1)); draw(graph(f1,-1,1)); draw(graph(f5,-1,1)); draw(graph(f9,-1,1)); label(rotate(45) * "$v/c = 0$",(0.4,f0(0.4)),SE); label(rotate(40) * "$v/c = 0.1$",(0.4,f1(0.4)),NW); label(rotate(45) * "$v/c = 0.5$",(-0.3,f5(-0.3)),NW); label(rotate(45) * "$v/c = 0.9$",(-0.6,f9(-0.6)),NW); //limits((-1,-4),(6,6),Crop); [/asy]$

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User:5849206328x: Difference between revisions

Revision as of 18:25, 26 July 2015

@@ Line 1: / Line 1: @@
 <asy>
-size(324);
+size(360);
 real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
-xaxis("$x$",0,6);
+xaxis(-1,1,Bars);
-yaxis("$ct$",0,5);
+yaxis(-1,1,Bars);
-//real f(real x) { return (x^3 - 9 * x^2 + 29 * x - 15)/6; }
+real f(real x, real v) { return (x + v)/(1 + x * v); }
+real f0(real x) { return f(x,0); }
+real f1(real x) { return f(x,0.1); }
+real f5(real x) { return f(x,0.5); }
+real f9(real x) { return f(x,0.9); }
-draw((0,0)--(2,4)); draw((3,0)--(5,4)); draw((1,0)--(1,4)); draw((4,0)--(4,4)); draw((1,2)--(4,2),Arrows);
+dot((-1,-1)); dot((1,1));
-draw((0,0)--(5,2.5),dashed); draw((1,2)--(5,2),dashed);
+draw(graph(f0,-1,1)); draw(graph(f1,-1,1)); draw(graph(f5,-1,1)); draw(graph(f9,-1,1));
-label("platform - back",(1,0),S); label("platform - front",(4,0),S);
+label(rotate(45) * "$v/c = 0$",(0.4,f0(0.4)),SE); label(rotate(40) * "$v/c = 0.1$",(0.4,f1(0.4)),NW);
-label("train - back",(2,4),N); label("train - front",(5,4),N);
+label(rotate(45) * "$v/c = 0.5$",(-0.3,f5(-0.3)),NW); label(rotate(45) * "$v/c = 0.9$",(-0.6,f9(-0.6)),NW);
-label("fits in $S$",(5,2),E); label("does not fit in $S'$",(5,2.5),E);
 //limits((-1,-4),(6,6),Crop);
 </asy>