Results 71 to 80 of about 39,512 (228)

On q2-Trigonometric Functions and Their q2-Fourier Transform [PDF]

open access: yesJournal of Mathematics and System Science, 2019
In this paper, we first construct generalized $q^2$-cosine, $q^2$-sine and $q^2$-exponential functions. We then use $q^2$-exponential function in order to define and investigate a $q^2$-Fourier transform.
S. Arjika
semanticscholar   +1 more source

Semiparametric regression for circular response with application in ecology

open access: yesScandinavian Journal of Statistics, Volume 53, Issue 1, Page 54-101, March 2026.
ABSTRACT A regression model for a circular response variable depending on a linear or a circular predictor is presented in this paper. The conditional density belongs to a parametric flexible family that allows for asymmetry and varying peakedness around the modal direction.
Jose Ameijeiras‐Alonso, Irène Gijbels
wiley   +1 more source

Indefinite integrals of products of some exponential and trigonometric functions [PDF]

open access: yes, 1972
Two integrals have been developed which are needed to solve certain problems of mathematical physics related to the Bessel and Euler equations.
Rostafinski, W. A.
core   +1 more source

Nikolskii-type inequalities for trigonometric polynomials and entire functions of exponential type [PDF]

open access: yesJournal of the Australian Mathematical Society, 1978
AbstractNikolskii-type inequalities, thus inequalities between different metrics of a function, are established for trigonometric polynomials and pth power integrable functions, 0<p<∞, of several variables having Fourier transform with compact support.
Nessel, R. J., Wilmes, G.
openaire   +2 more sources

Neural Network Models for Solar Irradiance Forecasting in Polluted Areas: A Comparative Study

open access: yesEnergy Science &Engineering, Volume 14, Issue 2, Page 935-961, February 2026.
Pollution‐aware hybrid ensemble model is proposed to forecast solar irradiance across eight diverse cities. The model integrates MLP, RNN, and NARX to handle varying atmospheric pollution levels. The model outperforms state‐of‐the‐art methods with enhanced accuracy and interpretability on standard solar irradiance data set.
Mujtaba Ali   +6 more
wiley   +1 more source

Analytical Approximant to a Quadratically Damped Duffing Oscillator

open access: yesThe Scientific World Journal, 2022
The Duffing oscillator of a system with strong quadratic damping is considered. We give an elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions.
Alvaro H. Salas S
doaj   +1 more source

Inverse‐Designed On‐Chip Orbital Angular Momentum Mode Converter for Optical Convolution Acceleration

open access: yesNanophotonics, Volume 15, Issue 3, 12 February 2026.
This work proposes OAM‐encoded CNN based on cascaded on‐chip OAM converters and multiplexers. The footprint of inverse‐designed converters is 5 μm × 4 μm and the maximum conversion efficiency of OAM reaches 88%. The OAM‐encoded optical CNN was built using this device, achieving 98.0% accuracy on MNIST and 86.1% accuracy on Fashion‐MNIST classification.
Yumeng Chen   +4 more
wiley   +1 more source

The Generation and Control of Irregularly Shaped Perfect Vector Vortex Beams on Hybrid Poincaré Spheres Using All‐Dielectric Metasurfaces

open access: yesNanophotonics, Volume 15, Issue 3, 12 February 2026.
Based on an all‐dielectric metasurface with cross‐phase modulation, we achieve the generation and polarization control of integers and fractional order irregular perfect vector vortex beams on the hybrid Poincaré sphere, opening a new avenue for optical field manipulation.
Xiaojie Sun   +7 more
wiley   +1 more source

Extended Wang sum and associated products.

open access: yesPLoS ONE, 2022
The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

Definition and Computation of Tensor‐Based Generalized Function Composition

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley   +1 more source

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