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Student Support Forum: 'Max with variable number of inputs' topicStudent Support Forum > General > Archives > "Max with variable number of inputs"

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Dave Gaebler
02/21/12 12:08pm

I'm trying to figure out how to maximize a function when the number of inputs is variable (or, equivalently, the input is a vector of unknown length).

An example of the type of problem I have in mind: Maximize the product (1-x_1)(1-x_2)...(1-x_n) given that x_1,...,x_n are positive real numbers which add up to 1. The tricky bit here is that I want to maximize over all values of n. (For the problem I just mentioned I know how to prove analytically that the maximum is 1/e, but the question is how to feed a problem like this into Mathematica!)

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Subject (listing for 'Max with variable number of inputs')
Author Date Posted
Max with variable number of inputs Dave Gaebler 02/21/12 12:08pm
Re: Max with variable number of inputs toen 02/22/12 09:22am
Re: Re: Max with variable number of inputs Dave Gaebler 03/06/12 10:59am
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