New definitions of exponential, hyperbolic and trigonometric functions on time scales
, 2010 We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of exact discretizations.
Cieslinski, Jan L.
core
A simple proof of the transcendence of the trigonometric functions [PDF]
arXiv, 2019 In this note, we give a simple proof that the values of the trigonometric functions at any nonzero rational number are transcendental numbers.
arxiv
physica status solidi (RRL) – Rapid Research Letters, EarlyView.The polarization change of an arbitrarily polarized wave in an optically anisotropic medium is discussed, focusing on cases where the refractive index, the extinction coefficient, and the two eigenmodes are degenerated. The polarization converges to that of the eigenmode with the lowest extinction coefficient, except when the extinction coefficients ...
Chris Sturm, Marius Grundmann
wiley +1 more source
Estimating monthly labour force figures during the COVID‐19 pandemic in the Netherlands
Journal of the Royal Statistical Society: Series A (Statistics in Society), Volume 185, Issue 4, Page 1560-1583, October 2022., 2022 Abstract Official monthly statistics about the Dutch labour force are based on the Dutch Labour Force Survey (LFS). The LFS is a continuously conducted survey that is designed as a rotating panel design. Data collection among selected households is based on a mixed‐mode design that uses web interviewing, telephone interviewing and face‐to‐face ...
Jan van den Brakel +2 more
wiley +1 more source
Fundamental trigonometric interpolation and approximating polynomials and splines [PDF]
arXiv, 2019 The paper deals with two fundamental types of trigonometric polynomials and splines on uniform grids, which allow us to construct interpolation approximations that depend linearly on the values of the interpolated function. Fundamental on the same grids are trigonometric LS polynomials and LS splines, which allow us to construct the approximation of ...
arxiv
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles
Studies in Applied Mathematics, Volume 150, Issue 1, Page 277-315, January 2023., 2023 Abstract This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two‐dimensional penetrable obstacles. Our approach is built upon a direct BIE formulation that leverages the simplicity of the free‐space Green function but in turn entails evaluation ...
Thomas Strauszer‐Caussade +3 more
wiley +1 more source
On the Closure of Certain Assemblages of Trigonometrical Functions [PDF]
, 1927 Norbert Wiener
openalex +1 more source
Some problems of diophantine approximation: Part II. The trigonometrical series associated with the elliptic ϑ-functions [PDF]
, 1914 G. H. Hardy, J. E. Littlewood
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Statistical Complexity of Quantum Learning
Advanced Quantum Technologies, EarlyView.The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi +3 more
wiley +1 more source
A universal formulation for conic trajectories. Basic variables and relationships [PDF]
Truncated trigonometric functions for conic trajectory formulation in space flight ...
Brooks, J. E., Lemmon, W. W.
core +1 more source