Archiu:Thomae function (0,1).svg
Tamany d'esta previsualisació PNG de l'archiu SVG: 800 × 413 píxels. Atres/s resolucions: 320 × 165 píxels | 640 × 330 píxels | 1024 × 528 píxels | 1280 × 660 píxels | 2560 × 1320 píxels.
Resolució completa. ((Image SVG, nominalment 1280 × 660 pixels, tamany d'archiu: 1,05 MB))
Summary
| Description |
English: Plot of Thomae's function on the interval (0,1). Shown are all rational points with denominator at most 200. The topmost point in the middle shows f(1/2) = 1/2
Created using the following Java code: public class Thomae {
static int gcd(int a, int b) {
while(a>0 && b>0) {
if(a>b) a -= a/b*b;
else b -= b/a*a;
}
return a>0 ? a : b;
}
public static void main(String[] args) {
int max = 200;
int width = 1280;
int height = 660;
int border = 20;
int x0 = border;
int x1 = width - border;
double dx = x1-x0;
int y0 = height - border;
double dy = -dx;
int r=5;
System.out.println("<?xml version=\"1.0\" standalone=\"no\"?>");
System.out.println("<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">");
System.out.println("<svg width=\""+ width +"\" height=\""+ height +"\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">");
for(int q=1; q<max; q++) for(int p=0; p<q; p++) if(gcd(p, q) == 1) {
System.out.println(" <circle cx=\""+ (x0+dx*p/q) + "\" cy=\""+ (y0+dy*1/q) +"\" r=\""+ r +"\" fill=\"black\" stroke=\"none\" />");
}
System.out.println("</svg>");
}
}
|
| Date | |
| Source | Own work |
| Author | Smithers888 |
| SVG development |
_waving.svg){kind=small}
.svg){kind=link}
Licensing
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
Historial de l'image
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| Data/Hora | Miniatura | Dimensions | Usuari | Descripció | |
|---|---|---|---|---|---|
| actual | 18:09 9 oct 2008 | | 1280 × 660 (1,05 MB) | wikimediacommons>Smithers888 | {{Information |Description={{en|1=Plot of Thomae's function on the interval (0,1). Shown are all rational points with denominator at most 200. Created using the following Java code: <source lang="java"> public class Thoma |
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