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Minimize

Usage

Minimize[f, {x, y, ... }] minimizes f with respect to x, y, ... .
Minimize[{f, cons}, {x, y, ... }] minimizes f subject to the constraints cons.


Notes

Minimize returns a list of the form { , {x ->  , y ->  , ... }}.
cons can contain equations, inequalities or logical combinations of these.
• If f and cons are linear or polynomial, Minimize will always find a global minimum.
Minimize will return exact results if given exact input.
• If the minimum is achieved only infinitesimally outside the region defined by the constraints, or only asymptotically, Minimize will return the infimum and the closest specifiable point.
• By default, all variables are assumed to be real.
x  Integers can be used to specify that a variable can take on only integer values.
• If the constraints cannot be satisfied, Minimize returns {+Infinity, {x -> Indeterminate, ... }}.
• Even if the same minimum is achieved at several points, only one is returned.
• Implementation notes: see Section A.9.5.
• New in Version 5.


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