Category Archives: Mathematics

Karush-Kuhn-Tucker Conditions

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The Karush-Kuhn-Tucker (KKT) conditions, sometimes referred to as the Kuhn-Tucker conditions, are the conditions that a Nonlinear Programming problem need to meet in order to be optimal.  The KKT conditions extends the method of Lagrangian multipliers by allowing for inequality constraints, as opposed [Read More...]

Isoperimetric problem (Dido’s Problem)

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History Dido (or Elissa, depending on the reference) is the legendary founder and first Queen of Carthage. Her accounts are mentioned by the historian Justin and later as a part of Virgil's "Aeneid" poem. In this story, Elissa is said to have escaped Tyre with groups of her brother Pygmalion's attendants [Read More...]