Optimization problem: Difference between revisions

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\end{align}</math>
where
* {{math|''f'' : [[Euclidean space|ℝ<sup>''n''</sup>]] → [[Real numbers|ℝ]]}} is the '''[[Loss function|objective function]]''' to be minimized over the {{mvar|n}}-variable vector {{mvar|x}},
* {{math|''g<sub>i</sub>''(''x'') ≤ 0}} are called '''inequality [[Constraint (mathematics)|constraints]]'''
* {{math|''h<sub>j</sub>''(''x'') {{=}} 0}} are called '''equality constraints''', and
* {{math|''m'' ≥ 0}} and {{math|''p'' ≥ 0}}.