File:Convex metric illustration2.png
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
Size of this preview: 544 × 600 pixels. Other resolutions: 218 × 240 pixels | 435 × 480 pixels | 1,003 × 1,106 pixels.
Original file (1,003 × 1,106 pixels, file size: 16 KB, MIME type: image/png)
File information
Structured data
Captions
DescriptionConvex metric illustration2.png |
English: An illustration of a convex metric space. |
Source | Own work |
Author | Oleg Alexandrov |
PNG development InfoField | This diagram was created with MATLAB. |
Source code InfoField | MATLAB code% an illustration of convex metric spaces
function main()
N=100;
A=-0.4; B=-0.1;
X=linspace(A, B, N);
Y=2*(1-X.^2);
figure(1); clf; hold on; axis equal; axis off;
lw=1.5; black=[0, 0, 0];
plot(X, Y, '--', 'linewidth', lw)
% plot some balls, to emphasize where the points are
ball_rad=0.007;
blue=[0, 0, 1]; red=[1, 0, 0];
ball(X(1), Y(1), ball_rad, blue)
ball(X(N), Y(N), ball_rad, blue)
t=0.4; M = floor(N*t);
ball(X(M), Y(M), ball_rad, red)
% plot text
fs=50;
d=0.0015;
ii=sqrt(-1);
place_text_smartly (X(1)+i*Y(1), fs, 3, 0.6*d, '\it{x}', 6)
place_text_smartly (X(M)+i*Y(M), fs, 2, d, '\it{z}', 6)
place_text_smartly (X(N)+i*Y(N), fs, 1, d, '\it{y}', 6)
% a phony box to avoid matlab bugs in saving to eps
h0=0.1;
white=0.99*[1, 1, 1];
plot(X(N), Y(N)+h0, 'color', white)
saveas(gcf, 'Convex_metric_illustration.eps', 'psc2');
function ball(x, y, r, color)
Theta=0:0.1:2*pi;
X=r*cos(Theta)+x;
Y=r*sin(Theta)+y;
H=fill(X, Y, color);
set(H, 'EdgeColor', 'none');
function place_text_smartly (z, font_size, pos, d, tx, N)
p=cos(2*pi/N)+sqrt(-1)*sin(2*pi/N);
z = z + p^pos * d * font_size;
x = real (z); y=imag(z);
H=text(x, y, tx);
set(H, 'fontsize', font_size, 'HorizontalAlignment', 'c', 'VerticalAlignment', 'c')
|
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. |
This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with
{{vector version available|new image name}} .
It is recommended to name the SVG file “Convex metric illustration2.svg”—then the template Vector version available (or Vva) does not need the new image name parameter. |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 04:05, 26 April 2007 | 1,003 × 1,106 (16 KB) | Oleg Alexandrov (talk | contribs) | {{Information |Description= |Source= |Date= |Author= }} |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.