Difference between revisions of "User:5849206328x"

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<asy>
 
<asy>
 
import slopefield;
 
import slopefield;
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real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
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real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
  
 
Label f;
 
Label f;
 
f.p=fontsize(6);
 
f.p=fontsize(6);
xaxis(-2,2);
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xaxis(0,pi);
yaxis(0,2);
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//yaxis(0,2);
  
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
 
 
real f(real x, real t) { return 1/(t * sqrt(pi)) * e^(-x^2/t^2); }
 
real f(real x, real t) { return 1/(t * sqrt(pi)) * e^(-x^2/t^2); }
 
real f1(real x) { return f(x,1); }
 
real f1(real x) { return f(x,1); }
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real f3(real x) { return f(x,0.1); }
 
real f3(real x) { return f(x,0.1); }
  
draw(graph(f1,-2,2), red + dashed);
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dot((0,0)); dot((pi/2,0)); dot((pi,0));
draw(graph(f2,-2,2), blue + dashed);
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draw(graph(f3,-2,2), darkgreen + dashed);
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label("$0$",(0,0),S);
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label("$\pi/2$",(pi/2,0),S);
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label("$\pi$",(pi,0),S);
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//draw(graph(f1,-2,2), red + dashed);
  
limits((-2,0),(2,2),Crop);
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//limits((-2,0),(2,2),Crop);
 
</asy>
 
</asy>

Revision as of 11:20, 10 June 2015

[asy] import slopefield;  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  Label f; f.p=fontsize(6); xaxis(0,pi); //yaxis(0,2);  real f(real x, real t) { return 1/(t * sqrt(pi)) * e^(-x^2/t^2); } real f1(real x) { return f(x,1); } real f2(real x) { return f(x,0.5); } real f3(real x) { return f(x,0.1); }  dot((0,0)); dot((pi/2,0)); dot((pi,0));  label("$0$",(0,0),S); label("$\pi/2$",(pi/2,0),S); label("$\pi$",(pi,0),S);  //draw(graph(f1,-2,2), red + dashed);  //limits((-2,0),(2,2),Crop); [/asy]