Results 71 to 80 of about 37,190 (197)
Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
, 2009 Properties of the four families of recently introduced special functions of two real variables, denoted here by $E^\pm$, and $\cos^\pm$, are studied. The superscripts $^+$ and $^-$ refer to the symmetric and antisymmetric functions respectively.
Bulirsch R. +8 more
core +1 more source
Improved q-exponential and q-trigonometric functions
, 2010 We propose a new definition of the q-exponential function. Our q-exponential function maps the imaginary axis into the unit circle and the resulting q-trigonometric functions are bounded and satisfy the Pythagorean identity.
openaire +2 more sources
Wind Turbine Model Validation Is Improved by High‐Resolution, Measurement‐Derived Inflows
Wind Energy, Volume 29, Issue 5, May 2026.ABSTRACT There is an increased need for accurate validation of turbine models used by original equipment manufacturers to fine‐tune prototypes and predict power performance and maintenance needs while avoiding costly warranty payouts. Perhaps the most substantial source of uncertainty in typical wind turbine model validation procedures is the use of ...
Daniel Houck +6 more
wiley +1 more source
Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments
Statistica Neerlandica, Volume 80, Issue 2, May 2026.ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley +1 more source
On the Superstability of the Pexider Type Trigonometric Functional Equation
Journal of Inequalities and Applications, 2010 We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
doaj +2 more sources
Exponential approximation in the norms and semi-norms [PDF]
, 1991 The deviations of some entire functions of exponential type from real-valued functions and their derivatives are estimated. As approximation metrics we use the Lp-norms and power variations on R.
Pych-Taberska, Paulina, Taberski, Roman
core
Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source
Analytical calculation of a class of integrals containing exponential and trigonometric functions [PDF]
Mathematics of Computation, 1983 It is shown how to evaluate analytically integrals from 0 to 2 π 2\pi of functions of the type f ( ϕ ) g ( ϕ ) exp { G ( ϕ ) } f(\phi )\;g(\phi )\exp \{ G(\phi )\} , where g
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GloMarGridding: A Python Toolkit for Flexible Spatial Interpolation in Climate Applications
Geoscience Data Journal, Volume 13, Issue 2, April 2026.Global surface climate datasets contain structural uncertainty that is difficult to attribute to individual processing steps. We present GloMarGridding, a Python package that isolates the spatial interpolation component using Gaussian Process Regression (or kriging) to generate spatially complete fields and uncertainty estimates. The techniques used in
Richard C. Cornes +6 more
wiley +1 more source
A Completeness Theorem for Trigonometric Identities and Various Results on Exponential Functions [PDF]
Proceedings of the American Mathematical Society, 1986 All valid identities in terms of variables, real constants, the arithmetic operations of addition and multiplication, and the trigonometric operations of sine and cosine are shown to be consequences of a few familiar identities and numerical facts.
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