Image:Extreme points illustration.png

La bildo estas kopiita de wikipedia:en. La originala priskribo estas:

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-

[edit] Source code in MATLAB

function main()

   clf; hold on; axis equal; axis off;                     % prepare the screen 
   linewidth=3; i=sqrt(-1); N=50; height=0.3; V=[]; M=[];  % initialize variables
   white=0.99*[1, 1, 1]; red=[1, 0, 0]; lightblue=[135 206 250]/256;
   
   Z=[0, 1, 0.5+i*sqrt(3)/2.0]; L=length(Z);

   [V, M]=corner (N, V, M, Z(L), Z(1), Z(2), height);
   for k=2:(L-1)
      [V, M]=corner (N, V, M, Z(k-1), Z(k), Z(k+1), height);
   end
   [V, M]=corner (N, V, M, Z(L-1), Z(L), Z(1), height);
   
   H=fill(real(V), imag(V), lightblue); set(H, 'LineWidth', linewidth/2, 'EdgeColor', lightblue)

   for k=1:L
      W=M(k, :);
      plot(W, 'color', red, 'linewidth', linewidth)
   end

   % force the window to be a bit bigger than the picture
   Winxmin=min(real(V));  Winxmax=max(real(V)); 
   Winymin=min(imag(V));  Winymax=max(imag(V));
   bd=0.1; 
   plot(Winxmin-bd, Winymin-bd, 'color', white);
   plot(Winxmax+bd, Winymax+bd, 'color', white);

saveas(gcf, 'Extreme_points_illustration.eps', 'psc2')

% make a rounded corner at b with edges going towards a and c (all complex numbers)
function [V, M]=corner (N, V, M, a, b, c, height)

   i=sqrt(-1);
   v=-i*height*(b-a)/abs(b-a); w=-i*height*(c-b)/abs(c-b);
   theta1=atan2(imag(v), real(v));  theta2=theta1+atan2(imag(w/v), real(w/v));
   Theta=linspace(theta1, theta2, N);
   C=b+height*exp(i*Theta);

   M=[M', C']'; V=[V, C];

[edit] Historio de la dosiero

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

• (del) (cur) 01:30, 21 November 2005 . . en:User:Oleg_Alexandrov Oleg Alexandrov ( en:User_talk:Oleg_Alexandrov Talk) . . 427x396 (10734 bytes)

• Extreme point
• Krein-Milman theorem
• User:Oleg Alexandrov/Pictures
• David Milman