This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# Minimize

 Minimize[f, {x, y, ...}]minimizes f with respect to x, y, .... Minimize[{f, cons}, {x, y, ...}]minimizes f subject to the constraints cons. Minimize[{f, cons}, {x, y, ...}, dom]minimizes with variables over the domain dom, typically Reals or Integers.
• Minimize returns a list of the form {fmin, {x->xmin, y->ymin, ...}}.
• 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 Minimize is given an expression containing approximate numbers, it automatically calls NMinimize.
• 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.
• If no domain is specified, all variables are assumed to be real.
• can be used to specify that a particular variable can take on only integer values.
• Even if the same minimum is achieved at several points, only one is returned.
Minimize a univariate function:
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Minimize a multivariate function:
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Minimize a function subject to constraints:
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A minimization problem containing parameters:
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 Scope   (15)
 Options   (1)
 Applications   (3)