Results 41 to 50 of about 596,245 (221)
Two double-angle formulas of generalized trigonometric functions [PDF]
Journal of Approximation Theory 250 (2020), 105322, 2019 With respect to generalized trigonometric functions, since the discovery of double-angle formula for a special case by Edmunds, Gurka and Lang in 2012, no double-angle formulas have been found. In this paper, we will establish new double-angle formulas of generalized trigonometric functions in two special cases.
arxiv +1 more source
Singular Electromagnetics: From Phase Singularities to Optical Skyrmions and Beyond
Advanced Physics Research, EarlyView.Singular electromagnetics/optics studies multidimensional topological defects of electromagnetic fields (also known as optical singularities), including phase and polarization singularities, 3D singularities (e.g., optical skyrmions, merons, hopfions, knots, links, and Möbius strips), and even higher‐dimensional singularities.
Jie Yang +3 more
wiley +1 more source
Wanted: A name for a commonly used trigonometry function
The Journal of Engineering, Volume 2022, Issue 12, Page 1143-1148, December 2022., 2022 Abstract Except in trivial cases, an unknown angle is always extracted from a knowledge of its sine and cosine. These two numbers determine the angle unambiguously; and yet no universally accepted notation expresses that angle as a function of those numbers in a single statement. Some authors use “atan2” for this purpose.
Don Koks
wiley +1 more source
Journal of Applied Crystallography, Volume 55, Issue 6, Page 1475-1487, December 2022., 2022 The magnetization profile and the ensuing magnetic neutron scattering signal from an inhomogeneously magnetized spherical nanoparticle with Néel surface anisotropy are derived analytically.The magnetization profile and the related magnetic small‐angle neutron scattering cross section of a single spherical nanoparticle with Néel surface anisotropy are ...
Michael P. Adams +2 more
wiley +1 more source
Symmetries of discrete curves and point clouds via trigonometric interpolation [PDF]
arXiv, 2021 We formulate a simple algorithm for computing global exact symmetries of closed discrete curves in plane. The method is based on a suitable trigonometric interpolation of vertices of the given polyline and consequent computation of the symmetry group of the obtained trigonometric curve.
arxiv
Integral of radical trigonometric functions revisited [PDF]
, 2016 This article revisits an integral of radical trigonometric functions. It presents several methods of integration where the integrand takes the form $\sqrt{1 \pm \sin x}$ or $\sqrt{1 \pm \cos x}$. The integral has applications in Calculus where it appears
Karjanto, N., Yermukanova, B.
core +2 more sources
Implementation of the Trigonometric LMS Algorithm using Original Cordic Rotation
, 2010 The LMS algorithm is one of the most successful adaptive filtering algorithms. It uses the instantaneous value of the square of the error signal as an estimate of the mean-square error (MSE).
Akhter, Nasrin +3 more
core +2 more sources
Journal of Applied Crystallography, Volume 55, Issue 6, Page 1488-1499, December 2022., 2022 Based on the Landau–Lifshitz equation, atomistic simulations of the magnetic neutron scattering from inhomogeneously magnetized spherical nanoparticles with a strong surface anisotropy are carried out.A dilute ensemble of randomly oriented non‐interacting spherical nanomagnets is considered, and its magnetization structure and ensuing neutron ...
Michael P. Adams +2 more
wiley +1 more source
Multiple-angle formulas of generalized trigonometric functions with two parameters [PDF]
Journal of Mathematical Analysis and Applications 444 (2016),
no.2, 1000-1014, 2016 Generalized trigonometric functions with two parameters were introduced by Dr\'{a}bek and Man\'{a}sevich to study an inhomogeneous eigenvalue problem of the $p$-Laplacian. Concerning these functions, no multiple-angle formula has been known except for the classical cases and a special case discovered by Edmunds, Gurka and Lang, not to mention addition ...
arxiv +1 more source
On derivations with respect to finite sets of smooth functions
, 2017 The purpose of this paper is to show that functions that derivate the two-variable product function and one of the exponential, trigonometric or hyperbolic functions are also standard derivations. The more general problem considered is to describe finite
Grünwald, Richárd, Páles, Zsolt
core +1 more source