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BETA CANTOR SERIES EXPANSION AND ADMISSIBLE SEQUENCES
Acta Polytechnica, 2020 We introduce a numeration system, called the beta Cantor series expansion, that generalizes the classical positive and negative beta expansions by allowing non-integer bases in the Q-Cantor series expansion. In particular, we show that for a fix $\gamma \
Jonathan Caalim, Shiela Demegillo
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SIGMOIDAL-TYPE SERIES EXPANSION [PDF]
The ANZIAM Journal, 2008 Abstract In this paper we introduce a set of orthonormal functions, $\{\phi _n^{[r]}\}_{n=1}^{\infty }$ , where ϕ n [r] is composed of a sine function and a sigmoidal transformation γ r of order r>0. Based on the proposed functions ϕ n [r] named by sigmoidal sine functions, we consider a series ...
Yun, Beong In
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Simple Approximate Formulas for Postbuckling Deflection of Heavy Elastic Columns
Applied Sciences, 2020 Columnar buckling is a ubiquitous phenomenon that occurs in both living things and man-made objects, regardless of the length scale ranging from macroscopic to nanometric structures.
Hiroyuki Shima
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Mathematics, 2023 In the existing literature, there are only two in-plane equilibrium equations for membrane problems; one does not take into account the contribution of deflection to in-plane equilibrium at all, and the other only partly takes it into account.
Jun-Yi Sun, Ji Wu, Xue Li, Xiao-Ting He
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Double series expansions for $ \pi $
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hybrid solution method for ultra-wideband positioning in coal mines
Gong-kuang zidonghua, 2021 Ultra-wideband positioning is based on the marked point distance measured by the base station and a set of non-linear positioning equations to obtain the precise device position by applying Taylor series expansion algorithm, Chan algorithm or least ...
CHEN Meirong +3 more
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Advanced Studies in Theoretical Physics, 2014 In this paper, we introduce some formulae of series expansion which are derived from trigonometric functions related to Euler and Bernoulli numbers.
Y S Jang +4 more
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Power series expansion neural network [PDF]
Journal of Computational Science, 2022 In this paper, we develop a new neural network family based on power series expansion, which is proved to achieve a better approximation accuracy in comparison with existing neural networks. This new set of neural networks embeds the power series expansion (PSE) into the neural network structure.
Qipin Chen, Wenrui Hao, Juncai He 0001
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Scientific Reports, 2023 Multipole expansion is a powerful technique used in many-body physics to solve dynamical problems involving correlated interactions between constituent particles.
E. O. Jobunga +2 more
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Series expansions without diagrams [PDF]
Physical Review E, 1994 We discuss the use of recursive enumeration schemes to obtain low and high temperature series expansions for discrete statistical systems. Using linear combinations of generalized helical lattices, the method is competitive with diagramatic approaches and is easily generalizable.
, Bhanot +4 more
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