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- W4313532003 abstract "The paper deals with odd sigmoid functions of one real variable, which are defined and are three times differentiable at all points of the real axis. The application of the classical method of analysis of the functions of one independent variable by means of derivatives makes it possible to formulate the main results of this work. The aim of the paper is to establish conditions that ensure the correspondence between odd sigmoid functions and their first-order derivatives, as well as to obtain conditions for the correspondence between derivatives of sigmoid functions of the first and second order. The main theoretical results of the work are formulated as two theorems. The numerical results of differentiation of several known odd sigmoid functions confirm the theoretical regularities described in the paper. These regularities can be used in various branches of science in which odd sigmoid functions are applied." @default.
- W4313532003 created "2023-01-06" @default.
- W4313532003 creator A5023996106 @default.
- W4313532003 date "2023-01-01" @default.
- W4313532003 modified "2023-09-27" @default.
- W4313532003 title "Mathematical Research of Odd Sigmoid Functions and Their First Two Derivatives" @default.
- W4313532003 cites W2121287431 @default.
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- W4313532003 doi "https://doi.org/10.1007/978-3-031-21438-7_30" @default.
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