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Function with many local minima 
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#1
Dec1612, 10:54 PM

P: 8

I've been working on a decentralized algorithm for finding local minima. Can anyone give me a few examples of mappings of the form F:R→R that have multiple local minima. I'm having problems defining neighbourhood on mappings from R^{2}→R, so I thought I'll test it out on single variable functions first.
Thanks. 


#2
Dec1712, 12:23 AM

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P: 7,160

Try the sum of some trig functions with no common periouds, for example
##\sin x + \cos( \sqrt 2 x) + \sin( \sqrt3 x)##. Or if you want a cluster of local minima, throw in something like ##\sin(1/x)## 


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