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495-210
495-210

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Tuesday April 24, 2001

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Problem Suppose that u and v are two vectors in R n. Let a = u + v b

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the derivative function (using first principles)

... Note: When the above limit is used to determine the derivative of a function, it is called “determining the derivative using first principles”. The given limit has the following interpretations: ...
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Mathematical optimization



In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.
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