Results 91 to 100 of about 596,245 (221)

Some trigonometric integrals involving the log gamma and the digamma function [PDF]

open access: yesarXiv, 2010
This paper considers various integrals where the integrand includes the log gamma function (or its derivative, the digamma function) multiplied by a trigonometric or hyperbolic function. Some apparently new integrals and series are evaluated.
arxiv  

Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function [PDF]

open access: yesarXiv, 2011
This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.
arxiv  

Calculation and experimental verification of equivalent distributed circuit model based on refined iron core modelling

open access: yesHigh Voltage, EarlyView.
Abstract This research introduces an equivalent circuit model and a computational method to address complex mechanical motion issues through electromechanical analogies. The study initially refines core vibration characteristics using single‐ and multi‐degree‐of‐freedom models, subsequently establishing equivalent circuit models for these various ...
Yunpeng Liu   +6 more
wiley   +1 more source

Finite Fourier series. The class of trigonometric splines [PDF]

open access: yesarXiv
Finite trigonometric Fourier series on a set of discrete equidistant points are considered. A finite system of orthogonal functions that have interpolation and certain differential properties on the period is introduced. Finite Fourier series based on this system of functions form a class of trigonometric splines, which includes polynomial periodic ...
arxiv  

Research on digital twin modelling technique for ±800 kV converter transformers scene based on hybrid attention mechanism and multiresolution hash encoding

open access: yesHigh Voltage, EarlyView.
Abstract Digital twin (DT) modelling is a prerequisite for the successful application of DT technology in the power industry. However, traditional scene modelling methods are costly, time‐consuming, focus on overall features and lack real‐time updates, hindering the interaction between DT models and physical power equipment scenes.
Hao Luo   +6 more
wiley   +1 more source

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