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- W2394207029 abstract "In this paper, we construct a pair of twin functions, f(x)=(lim)i→+∞x~(-i)a_i(x),g(x)=(lim)i→+∞x~(-i)b_i(x),where i∈N,x1,a_0(x)=b_0(x)=0,a_i(x)=P((a_(i-1)(x)+1)x),b_i(x)=Q((b_(i-1)(x)+1)x),the signs P(*),Q(*)are respectively the highest integers of*and≤*.Afterwards we discuss their continuity, derivative and fractal structure, and propose a question in the theory of numbers, for all rational number x∈((1,+)∞),is there an integer i∈N such that ((a_i(x)+)1)x is an integer" @default.
- W2394207029 created "2016-06-24" @default.
- W2394207029 creator A5074816220 @default.
- W2394207029 date "2003-01-01" @default.
- W2394207029 modified "2023-09-23" @default.
- W2394207029 title "Construction, Property and Fractal Structure of A Pair of Twin-Functions" @default.
- W2394207029 hasPublicationYear "2003" @default.
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