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User:5849206328x: Difference between revisions

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// real f1(real x) { return 1 - erf(5x); }
// real f1(real x) { return 1 - erf(5x); }


for (int i = 0; i < 6; ++i) {
for (int i = 0; i < 3; ++i) {
  draw((2*i,0)--((2*i,0)+dir(0))--((2*i,0)+dir(60))--cycle);
  draw((3*i,0)--((3*i,0)+dir(0))--((3*i,0)+dir(60))--cycle);
draw((3*i,-2)--((3*i,-2)+dir(0))--((3*i,-2)+dir(60))--cycle);
}
}


label("$1$",(0.5,0),S); label("$\rho_1$",(2.5,0),S); label("$\rho_2$",(4.5,0),S);
draw((1.5,0.4)--(2.5,0.4),EndArrow); draw((4.5,0.4)--(5.5,0.4),EndArrow);
label("$r_1$",(6.5,0),S); label("$r_2$",(8.5,0),S); label("$r_3$",(10.5,0),S);
draw((1.5,-1.6)--(2.5,-1.6),EndArrow); draw((4.5,-1.6)--(5.5,-1.6),EndArrow);


dot((0,0),red); dot(dir(0),darkgreen); dot(dir(60),blue);
dot((0,0),red); dot((0,0)+dir(0),darkgreen); dot((0,0)+dir(60),blue);
dot((2,0),blue); dot((2,0)+dir(0),red); dot((2,0)+dir(60),darkgreen);
dot((3,0),red); dot((3,0)+dir(0),blue); dot((3,0)+dir(60),darkgreen);
dot((4,0),darkgreen); dot((4,0)+dir(0),blue); dot((4,0)+dir(60),red);
dot((6,0),blue); dot((6,0)+dir(0),red); dot((6,0)+dir(60),darkgreen);
dot((6,0),darkgreen); dot((6,0)+dir(0),red); dot((6,0)+dir(60),blue);
dot((0,-2),red); dot((0,-2)+dir(0),darkgreen); dot((0,-2)+dir(60),blue);
dot((8,0),red); dot((8,0)+dir(0),blue); dot((8,0)+dir(60),darkgreen);
dot((3,-2),darkgreen); dot((3,-2)+dir(0),red); dot((3,-2)+dir(60),blue);
dot((10,0),blue); dot((10,0)+dir(0),darkgreen); dot((10,0)+dir(60),red);
dot((6,-2),darkgreen); dot((6,-2)+dir(0),blue); dot((6,-2)+dir(60),red);
 
label("$r_1\circ r_2$",(-1,0.4),W); label("$r_2\circ r_1$",(-1,-1.6),W);
label("$\rho_1$",(8,0.4),E); label("$\rho_2$",(8,-1.6),E);
label("$r_2$",(2,0.4),N); label("$r_1$",(5,0.4),N);
label("$r_1$",(2,-1.6),N); label("$r_2$",(5,-1.6),N);
</asy>
</asy>

Revision as of 08:05, 6 July 2015

[asy] import slopefield; real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; // Label f; // f.p=fontsize(6); // xaxis(0,3); // yaxis(0,1.5); // real f1(real x) { return 1 - erf(5x); } for (int i = 0; i < 3; ++i) { draw((3*i,0)--((3*i,0)+dir(0))--((3*i,0)+dir(60))--cycle); draw((3*i,-2)--((3*i,-2)+dir(0))--((3*i,-2)+dir(60))--cycle); } draw((1.5,0.4)--(2.5,0.4),EndArrow); draw((4.5,0.4)--(5.5,0.4),EndArrow); draw((1.5,-1.6)--(2.5,-1.6),EndArrow); draw((4.5,-1.6)--(5.5,-1.6),EndArrow); dot((0,0),red); dot((0,0)+dir(0),darkgreen); dot((0,0)+dir(60),blue); dot((3,0),red); dot((3,0)+dir(0),blue); dot((3,0)+dir(60),darkgreen); dot((6,0),blue); dot((6,0)+dir(0),red); dot((6,0)+dir(60),darkgreen); dot((0,-2),red); dot((0,-2)+dir(0),darkgreen); dot((0,-2)+dir(60),blue); dot((3,-2),darkgreen); dot((3,-2)+dir(0),red); dot((3,-2)+dir(60),blue); dot((6,-2),darkgreen); dot((6,-2)+dir(0),blue); dot((6,-2)+dir(60),red); label("$r_1\circ r_2$",(-1,0.4),W); label("$r_2\circ r_1$",(-1,-1.6),W); label("$\rho_1$",(8,0.4),E); label("$\rho_2$",(8,-1.6),E); label("$r_2$",(2,0.4),N); label("$r_1$",(5,0.4),N); label("$r_1$",(2,-1.6),N); label("$r_2$",(5,-1.6),N); [/asy]

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