Metric (mathematics): Difference between revisions

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'''Shekel function''' is a multidimensional, multimodal, continuous, deterministic [[function (mathematics)|function]] commonly used as a test function for testing [[optimization (mathematics)|optimization]] techniques.
 
The mathematical form of a function in <math>n</math> dimensions with <math>m</math> maxima is:
 
<math>
f(\vec{x}) = \sum_{i = 1}^{m} \tfrac{1}{c_{i} + \sum\limits_{j = 1}^{n} (x_{j} - a_{ji})^2 }
</math>
 
or, similarly,
 
<math>
f(x_1,x_2,...,x_{n-1},x_n) = \sum_{i = 1}^{m} \tfrac{1}{c_{i} + \sum\limits_{j = 1}^{n} (x_{j} - a_{ij})^2 }
</math>
 
 
[[Image:Shekel_2D.jpg|right|thumb|400px|A Shekel function in 2 dimensions and with 10 maxima]]
 
== References ==
 
Shekel, J. 1971. "Test Functions for Multimodal Search Techniques." ''Fifth Annual Princeton Conference on Information Science and Systems''.
 
== See also ==
*[[Test functions for optimization]]
 
[[Category:Mathematical optimization]]
 
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Latest revision as of 21:43, 18 December 2014

Hello and welcome. My name is Figures Wunder. Doing ceramics is what love performing. South Dakota is where me and my spouse reside and my family members loves it. Hiring is her day job now but she's usually needed her own company.

My web blog - diet meal delivery; Recommended Studying,

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