File:Surface banane trompette.svg
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Size of this PNG preview of this SVG file: 512 × 352 pixels. Other resolutions: 320 × 220 pixels | 640 × 440 pixels | 1,024 × 704 pixels | 1,280 × 880 pixels | 2,560 × 1,760 pixels.
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Summary[edit]
| Description |
Français : Fonction différentiable non-convexe avec lignes de niveau. Les lignes de niveau ont une forme de banane, les sections par des plans verticaux ont une forme de trompette.
English: Differentiable non-convex function with cpontour lines. The level lines are banana-shaped, the sections by a vertical plane are trumpet-shaped. |
| Date | |
| Source | Own work |
| Author | Cdang |
Created with Scilab, processed with Inkscape.
Scilab source
 |
This media was created with Scilab, a free open-source software. Here is a listing of the Scilab source used to create this file. |
// Banana-like contours: ellipse bent by a parabola
r1 = 1;
r2 = 0.5;
theta = linspace(0, %pi/2, 20);
ct = cos(theta);
st = sin(theta);
x = r1*[ct, -st(2:$), -ct(2:$), st(2:$)];
y = r2*[st, ct(2:$), -st(2:$), -ct(2:$)] + x.^2;
z = 0:0.1:0.9;
taille = size(z, "*")*size(x, "*");
// vertical trumpet-like profile: z = 1 - 1/(1 + R^2)
// => R = sqrt(1/(1 - z) - 1)
R = ones(x)'*sqrt(1 ./(1 - z) - 1);
X = matrix(R.*(x'*ones(z)), 1, taille);
Y = matrix(R.*(y'*ones(z)), 1, taille);
Z = matrix(ones(x)'*z, 1, taille);
figure(0);
clf();
param3d(X, Y, Z); // surface
param3d(X, Y, zeros(Z), theta=30, alpha=80); // projection des courbes de niveau
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:29, 24 March 2017 | | 512 × 352 (115 KB) | Cdang (talk | contribs) | User created page with UploadWizard |
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