File:Simionescu's function.svg
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Original file (SVG file, nominally 416 × 398 pixels, file size: 63 KB)
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Summary
| Description |
English: Simionescu's test objective function: |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codefrom numpy import cos, arctan
import numpy as np
import matplotlib.pyplot as plt
plt.rcParams["font.size"] = 10
plt.rcParams["mathtext.fontset"] = "cm"
x1, x2 = np.mgrid[-1.25:1.25:101j, -1.25:1.25:101j]
fun = x1*x2
cons = x1**2 + x2**2 - (1 + 0.2*cos(8*arctan(x1/x2)))**2
fun[cons > 0.01] = np.nan
levels = np.linspace(-1, 1, 30)
plt.contour(x1, x2, fun, levels, cmap="seismic")
plt.contour(x1, x2, cons, [0], colors="black")
plt.axis("image")
plt.xlabel(r"$x$", fontsize=14)
plt.ylabel(r"$y$", fontsize=14)
plt.savefig("simionescu's function.svg", bbox_inches="tight")
plt.show()
|
![{\displaystyle {\begin{aligned}&{\text{minimize }}f(x,y)=0.1xy\\&{\text{subjected to: }}x^{2}+y^{2}\leq \left[r_{T}+r_{S}\cos \left(n\arctan {\frac {x}{y}}\right)\right]^{2}\\&{\text{where: }}r_{T}=1,r_{S}=0.2{\text{ and }}n=8\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3a531c1d53e68ed7162f537e57e31a97fef6a914)
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 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.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:16, 26 June 2018 | | 416 × 398 (63 KB) | Nicoguaro | User created page with UploadWizard |
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