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Re: Plot vs NMaximize

  • To: mathgroup at smc.vnet.net
  • Subject: [mg94324] Re: Plot vs NMaximize
  • From: Bill Rowe <readnews at sbcglobal.net>
  • Date: Wed, 10 Dec 2008 04:49:10 -0500 (EST)

On 12/9/08 at 6:55 AM, Nikolaus at rath.org (Nikolaus Rath) wrote:

>"David Park" <djmpark at comcast.net> writes:

>>How about a specific example where NMaximize gets stuck but you can
>>easily see the maximum from a plot?

>Try this one:

>f[x_] :=  Sin[2 \[Pi] x] + 10 Sin[(2 \[Pi] x)/30]
>Plot[f[x], {x, 0, 50}]
>NMaximize[{f[x], x >= 0 && x < 50}, x]

>this gives me a maximum at {0.988032, {x -> 29.8451}}.

What version of Mathematica are you using? I get

In[1]:= f[x_] := Sin[2 \[Pi] x] + 10 Sin[(2 \[Pi] x)/30]
         NMaximize[{f[x], x >= 0 && x < 50}, x]

Out[2]= {10.9864,{x->37.2527}}

In[3]:= $Version

Out[3]= 7.0 for Mac OS X x86 (64-bit) (November 11, 2008)

Note, this is not to imply you cannot create a function that
gets NMaximize trapped at something other than the global maximum.



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