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- W2078386871 abstract "Consider a sequence F → which is nondecreasing and onto. Then the quantity defined by F ′ m = 1 F−1 F m (where as usual F−1 k denotes the set F = k ) can be interpreted as the slope of F at m. Accordingly we call the function F ′ → the discrete derivative of F . And developing further the analogy with usual differential equations we can see that the notion of integration of this differential equation makes sense: it corresponds to reconstructing the sequence F from the sequence τ F = F−1 k k=1 of its runs." @default.
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- W2078386871 date "2001-08-01" @default.
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- W2078386871 title "Discrete Derivatives of Sequences" @default.
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- W2078386871 doi "https://doi.org/10.1006/aama.2001.0750" @default.
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