There is a good number of problems for which the Karush-Kuhn-Tucker conditions are insufficient to guarantee optimality, but this doesn't change the fact that these conditions are an indispensable tool for doing optimization.
Source: tatoeba (579190)
What do we mean by "global optimization"? It's kind of like if I gave you a pair of binoculars and told you to find me the highest mountain in the world, using only your eyes.
Source: tatoeba (584043)
You can eliminate a few constraints from your optimization problem if you parametrize your variables into spherical coordinates.
Source: tatoeba (2518300)
Optimization is possible.
Source: tatoeba (11188347)
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