File:Relative numbers representation.svg
Original file (SVG file, nominally 512 × 494 pixels, file size: 11 KB)
Captions
Summary edit
DescriptionRelative numbers representation.svg |
English: A figure representing the equivalence classes of the relative numbers constructed as a pair of natural numbers. Any relative number (eg. -5) has an infinity of equivalent possible representation, eg. (2,7), (0,5), … The equivalent representations (in red) are on the same blue dotted line, and the number in blue at the end on the line is the corresponding relative number
Français : Une figure représentant les classes d'équivalences entres les paire d'entiers construisant les nombre relatifs.
Chaque nombre relatif (par exemple -5) a une infinité de paire qui le représentent de manière équivalente, (par exemple (2,7), (0,5). Toutes ces représentation équivalente sont sur la même pointillé bleu, et le nombre relatif qu'elle représentent est au bout de la ligne. |
Date | |
Source | Own work |
Author | TomdFr |
Other versions | File:Relatives Numbers Representation.png |
SVG development InfoField |
Licensing edit
Public domainPublic domainfalsefalse |
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. |
Generation code edit
In asymptote programming language (w:Asymptote (vector graphics language))
// import settings;
import graph;
// pdfviewer="evince";
// psviewer="evince";
// returns a pair representation of a relative number of the equivalent class
pair pairRepresentation(int n){
if(n>0){
return(n,0);
}else{
return(0,-n);
}
}
string nullString(real r){
return "";
}
void drawCoordinates(pair point, align align=NoAlign){
label("$("+string(point.x)+","+string(point.y)+")$",point,align);
}
unitsize(50,50);
int num = 10;
int i;
for (i=-1*num ; i<=num ; ++i) {
pair point = pairRepresentation(i) ;
dot(point,red);
// equivalence classes labelled with usual names, in blue
label("$\mathbf{"+string(i)+"}$",point,5SW,fontsize(17)+blue);
int j;
for(j=abs(i);j<num;++j) {
drawCoordinates(point,E);
pair nextpoint = point + (1,1);
draw(point -- nextpoint,blue+Dotted+linewidth(2));
dot(point,red+linewidth(5));
point=nextpoint;
}
dot(point,red);
draw(point -- point+(0.5,0.5),blue+Dotted+linewidth(2));
dot(point,red+linewidth(5));
drawCoordinates(point,E);
}
// axes
real decay=-0.2;
ticks tick=RightTicks(N=0,n=1,end=false,nullString);
xaxis("$n_1$",YEquals(decay),decay,num+1.0,tick,Arrow);
yaxis("$n_2$",XEquals(decay),decay,num+1.0,LeftTicks(N=0,n=1,end=false,nullString),Arrow);
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 03:00, 31 January 2018 | 512 × 494 (11 KB) | Perhelion (talk | contribs) | fix librsvg bug phab:T35245 | |
21:57, 25 November 2009 | 429 × 414 (81 KB) | TomdFr (talk | contribs) | Uploaded a version from -5 to 5, -10 to 10 was uselessly too big. | ||
20:05, 25 November 2009 | 754 × 727 (244 KB) | TomdFr (talk | contribs) | {{Information |Description={{en|1=A figure representing the equivalence classes of the relative numbers constructed as a pair of natural numbers. Any relative number (eg. -5) has an infinity of equivalent possible representation, eg. (2,7), (0,5), ... The |
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File usage on Commons
The following 2 pages use this file:
- File:Relatifs.svg (file redirect)
- File:Relatives Numbers Representation.png
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Width | 100% |
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Height | 100% |