File:Surface banane trompette.svg
Original file (SVG file, nominally 512 × 352 pixels, file size: 115 KB)
Captions
Summary
[edit]DescriptionSurface banane trompette.svg |
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
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- 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.
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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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Short title | Fonction différentiable non-convexe avec lignes de niveau |
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Width | 511.94199 |
Height | 351.70621 |