Results 11 to 20 of about 2,340,716 (311)
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
openaire +2 more sources
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
openaire +3 more sources
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
doaj +1 more source
Newton series expansion of bosonic operator functions
SciPost Physics, 2021 We show how series expansions of functions of bosonic number operators are naturally derived from finite-difference calculus. The scheme employs Newton series rather than Taylor series known from differential calculus, and also works in cases where the ...
Jürgen König, Alfred Hucht
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for planar linear systems. Concretely, we focus on the analyticity of the Poincaré half-maps, their series expansions (Taylor and Newton–Puiseux) at the ...
Victoriano Carmona +3 more
doaj +1 more source
Taylor series expansion in discrete Clifford analysis [PDF]
, 2013 Discrete Clifford analysis is a discrete higher-dimensional function theory which corresponds simultaneously to a refinement of discrete harmonic analysis and to a discrete counterpart of Euclidean Clifford analysis.
De Ridder, Hilde +2 more
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source
A Robust Iterative Unfolding Method for Signal Processing [PDF]
, 2006 There is a well-known series expansion (Neumann series) in functional analysis for perturbative inversion of specific operators on Banach spaces. However, operators that appear in signal processing (e.g.
András László +9 more
core +1 more source
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
doaj +1 more source