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#### Esmail

I would like to maximize or minimize a given math function over a

specific set of values, in Python preferably.

I was checking out Wolfram Alpha (http://www70.wolframalpha.com/)

and it can do simple optimization problems in math, such as

maximize 15*x - x**2 over 0 to 15

(http://www70.wolframalpha.com/input/?i=maximize+15*x+-+x**2+over+0+to+15)

which finds the maximum value and input for x in the range 0 to 15.

Very cool. (This is of course a very simple example).

What it apparently can't do is for maximize (or minimize) functions

that contain two variables, x and y, or more. So for example a simple

example would be

maximize x**2 + y**2 over x:0 to 15, y:0-12 -- this does not work

-- though I'm unclear about

-- the correct syntax too.

Is there some sort of simple Python module that would allow me to

evaluate this type of function?

In this particular instance I am interested in the minimum of

x * sin(4*x) + 1.1 * sin(2*y), where x,y in range 0-10

though in other problems the range may not be identical for x and y.

Thanks,

Esmail

ps: Does anyone know if Octave or some other free Linux (or Windows)

program might also do this in a simple way? My preference would

still be a Python solution that would be simple to use, ie plug in

the function, the ranges and have it pop out the solution