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Re: Maximisation question
*To*: mathgroup at smc.vnet.net
*Subject*: [mg126560] Re: Maximisation question
*From*: Bob Hanlon <hanlonr357 at gmail.com>
*Date*: Sat, 19 May 2012 05:44:32 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
*References*: <201205180923.FAA17073@smc.vnet.net>
I'm guessing that you meant 100 <= i < 0 rather than 100 <= f(i) < 0
f[n_] := PDF[BinomialDistribution[100, .1], n]
Maximize[{f[j], 0 < j <= 100}, j, Integers]
{0.131865, {j -> 10}}
Maximize[{f[j], 0 < j <= 100, Element[j, Integers]}, j]
{0.131865, {j -> 10}}
If f and cons are linear or polynomial, Maximize will always find a
global maximum. In cases where Maximize only finds a local maxima,
you can use an exhaustive search.
data = Table[{n, f[n]}, {n, 0, 100}];
Select[data, #[[2]] == Max[data[[All, 2]]] &]
{{10, 0.131865}}
Bob Hanlon
On Fri, May 18, 2012 at 5:23 AM, J.Jack.J. <jack.j.jepper at googlemail.com> wrote:
> For any integer j, suppose we have a function f(j). Then how would I
> find the highest f(i) such that 100 <= f(i) <0 ?
> With thanks in advance.
>
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