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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
NMinValue
NMinValue[f, x]
gives the minimum value of f with respect to x.
NMinValue[f, {x, y, ...}]
gives the minimum value of f with respect to x, y, ....
NMinValue[{f, cons}, {x, y, ...}]
gives the minimum value of f subject to the constraints cons.
Details and OptionsDetails and Options
- NMinValue[...] is effectively equivalent to First[NMinimize[...]].
- cons can contain equations, inequalities or logical combinations of these.
- NMinValue always attempts to find a global minimum of f subject to the constraints given.
- 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 f and cons are linear, NMinValue can always find global minima, over both real and integer values.
- Otherwise, NMinValue may sometimes find only a local minimum.
- If NMinValue determines that the constraints cannot be satisfied, it returns Infinity.
- NMinValue takes the same options as NMinimize.
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