F13 doc and range modification.

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Marcel Kronfeld
2009-07-13 15:49:19 +00:00
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<title>Schwefels's (sine root) function</title>
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<h1 align="center">Schwefel's (sine root) function</h1>
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<img src="images/f13-tex-500.jpg" width="650" height="64" aling="center">
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<p>
Schwefel's (sine root) function is highly multimodal and has no global basin of attraction. The optimum at a fitness of f(x*)=0 lies at x*=420.9687. Schwefel's sine root is a tough challenge for any global optimizer due to the multiple distinct optima. Especially, there is a deceptive nearly optimal solution close to x=(-420.9687)<SUP>n</SUP>.
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<p>
<img src="images/f13-schwefels-sine-root.jpg" width="667" height="493" border="2" align="center">
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Schwefels's sine root function in 2D within the co-domain -500 <= <i>x</i> <= 500.
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<hr>
More information about Ackley's function can be found at:
<p>
David. H. Ackley. <i>A connection machine for genetic hillclimbing.</i> Kluwer Academic Publishers, Boston, 1987.
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Thomas Baeck. <i>Evolutionary Algorithms in Theory and Practice.</i> Oxford University Press, 1996.
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</html>