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Original file (SVG file, nominally 512 × 512 pixels, file size: 22 KB)
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Summary
| Description |
English: Illustrating a greedy algorithm that, starting at a given point on a curve, tries to find the curve's global maximum by following the steepest slope from its current position. For this case, the local maximum "m" will be found, while the global maximum "M" will be missed, because the slope from "A" toward "m" is always steeper than that toward "M", both at "A" and all along the path from "A" to "m". Français : Illustration d'un algorithme glouton: le maximum local "m" sera trouvé. Le maximum global "M" ne sera pas trouvé. |
| Date | |
| Source | Own work |
| Author | Tos |
| SVG development | |
| Source code | Mathematica code<source lang="c">
h[x_] := (2 x + 4)*Exp[-2*x*x];
j[x_] := (2 - Abs[x - 4]);
Plot[
Piecewise[{{h[x] - h[2], x < 2}, {j[x], (6 > x > 2)}, {0, (x > 6)}}], {x, -2, 6.5},
Filling -> Bottom,
Axes -> False,
PlotRange -> {-0.5, 5},
Epilog -> {PointSize[0.012], Point[{0.12, h[0.12]}], Point[{2, 0}],
Point[{4, j[4]}], Text["A", {2.04, 0.3}],
Text["M", {0.15, h[0.15] + .3}], Text["m", {4.04, 2.3}]}
]
|
Licensing
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 3.0 Unported 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.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:53, 8 August 2011 | | 512 × 512 (22 KB) | Tos |
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