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Difference between revisions of "User:Boris Tsirelson/sandbox1"

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<center><asy>
+
<ref> [http://hea-www.harvard.edu/AstroStat http://hea-www.harvard.edu/AstroStat]; <nowiki> http://www.incagroup.org </nowiki>; <nowiki> http://astrostatistics.psu.edu </nowiki> </ref>
 +
 
 +
====Notes====
 +
<references />
 +
 
 +
-------------------------------------------
 +
 
 +
 
 +
{|
 +
| A || B || C
 +
|-
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| X || Y || Z
 +
|}
 +
 
 +
 
 +
 
 +
-----------------------------------------
 +
-----------------------------------------
 +
 
 +
$\newcommand*{\longhookrightarrow}{\lhook\joinrel\relbar\joinrel\rightarrow}$
 +
 
 +
<asy>
 
size(100,100);
 
size(100,100);
 +
label(scale(1.7)*'$T(\\Sigma)\hookrightarrow T(\\Sigma,X)$',(0,0));
 +
</asy>
 +
 +
<asy>
 +
size(220,220);
 +
 +
import math;
  
// recursive procedure, draws the fractal within the rectangle [x0,x1]×[y0,y1]
+
int kmax=40;
void f(real x0, real x1, real y0, real y1, int n) {
+
 
   if (n!=0) {
+
guide g;
    real dx = (x1-x0)/3;
+
for (int k=-kmax; k<=kmax; ++k) {
    real dy = (y1-y0)/2;
+
   real phi = 0.2*k*pi;
    draw( (x0+dx,y0+dy)--(x0+2*dx,y0+dy), defaultpen+1 );
+
  real rho = 1;
    f(x0,x0+dx,y0,y0+dy,n-1);
+
  if (k!=0) {
     f(x0+2*dx,x1,y0+dy,y1,n-1);
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     rho = sin(phi)/phi;
 
   }
 
   }
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  pair z=rho*expi(phi);
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  g=g..z;
 
}
 
}
 +
 
 +
draw (g);
 +
 +
defaultpen(0.75);
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draw ( (0,0)--(1.3,0), dotted, Arrow(SimpleHead,5) );
 +
dot ( (1,0) );
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label ( "$a$", (1,0), NE );
  
f(0,1,0,1,9);
+
</asy>
draw( (0,0)--(1,0), arrow=Arrow );
 
draw( (0,0)--(0,1), arrow=Arrow );
 
</asy></center>
 

Latest revision as of 07:12, 13 March 2016

[1]

Notes

  1. http://hea-www.harvard.edu/AstroStat; http://www.incagroup.org ; http://astrostatistics.psu.edu


A B C
X Y Z




$\newcommand*{\longhookrightarrow}{\lhook\joinrel\relbar\joinrel\rightarrow}$

How to Cite This Entry:
Boris Tsirelson/sandbox1. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox1&oldid=29432