On the convergence of trigonometric approximations for a function of two variables [PDF]
Elizabeth Carlson
openalex +1 more source
Some trigonometric integrals involving the log gamma and the digamma function [PDF]
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
(1) The Macmillan Table Slide Rule (2) Natural Trigonometric Functions to Seven Decimal Places for every Ten Seconds of Arc, together with Miscellaneous Tables [PDF]
L. M. M.-T
openalex +1 more source
Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function [PDF]
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
Five-Figure Tables of Natural Trigonometrical Functions [PDF]
Jamie Pearce
openalex +1 more source
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]
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
Dual Integral Equations with Bessel Function and Trigonometrical Kernels [PDF]
S.C. Srivastava
openalex +1 more source
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
On Trigonometric Series Associated with Weak Closed Subspaces of Continuous Functions [PDF]
Haskell P. Rosenthal
openalex +1 more source