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- W386958792 abstract "We consider real functions on the interval [0, 1]. Denote by Δ the set of derivatives; i.e., Δ = {ƒ:ƒ is a derivative}= {ƒ : ∃F: [0,1]→ R {F is differentiable and ƒ = F')}.If ƒ є Δ, any F with F' = ƒ is a primitive of ƒ and is uniquely determined up to a constant. To normalize, we denote by F(x) = ʃ^x)0 ƒ the unique primitive of ƒ with F(0) = 0. This is the original Newtonian concept of integration as the inverse operation of differentiation, i.e., antidifferentiation." @default.
- W386958792 created "2016-06-24" @default.
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- W386958792 date "1987-01-01" @default.
- W386958792 modified "2023-09-23" @default.
- W386958792 title "The Complexity of Antidifferentiation, Denjoy Totalization, and Hyperarithmetic Reals" @default.
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