Nonlinear Complementarity Problem
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Nonlinear Complementarity Problem
In applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathemati ..., a nonlinear complementarity problem (NCP) with respect to a mapping ''ƒ'' : R''n'' → R''n'', denoted by NCP''ƒ'', is to find a vector ''x'' ∈ R''n'' such that : x \geq 0,\ f(x) \geq 0 \text x^f(x)=0 where ''ƒ''(''x'') is a smooth mapping. The case of a discontinuous mapping was discussed by Habetler and Kostreva (1978). References * * Applied mathematics {{applied-math-stub ...
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Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational ...
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