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Methods in Applied Mathematics - 國立臺灣大學
Chapter 1 Dimensional Analysis 1.1 The program of applied mathematics The program of applied mathematics consists of the following procedures. Observe a phenomenon, determine variables (quantities) that we are concerned with.
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www.math.ntu.edu.twcontinuous. Moreover, the above decomposition is unique. Let λ denote the Lebesgue measure on B, the σ-field of Borel sets in R. It follows from the Lebesgue decomposition theorem that we can write F c(x) = βF s(x)+(1−β)F ac(x) where 0 ≤ β ≤ 1, F s is singular with respect to λ, and F ac is absolutely continuous with respect to λ.
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