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- W3023244101 abstract "This chapter reviews certain basic parts of n-dimensional calculus. It also presents an introduction to the theory of Gateaux and Frechet derivatives and their properties. The chapter presents an equation that represents the differentiability of a real-valued function, f, of a single variable at a point x. The most frequently used results about derivatives are the mean-value theorems. The chapter discusses various results of this type along with some applications. It also presents certain properties of the convex functionals. The prototype convex functional is g(x) = xTAx, where A is a symmetric, positive semidefinite matrix. A surprising number of the properties of this special class of functional hold for convex functionals in general." @default.
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- W3023244101 date "1970-01-01" @default.
- W3023244101 modified "2023-09-26" @default.
- W3023244101 title "ANALYSIS" @default.
- W3023244101 doi "https://doi.org/10.1016/b978-0-12-528550-6.50012-0" @default.
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