Results 41 to 50 of about 10,331,496 (319)
A General Approach to Dropout in Quantum Neural Networks
Advanced Quantum Technologies, EarlyView., 2023 Randomly dropping artificial neurons and all their connections in the training phase reduces overfitting issues in classical neural networks, thus improving performances on previously unseen data. The authors introduce different dropout strategies applied to quantum neural networks, learning models based on parametrized quantum circuits.
Francesco Scala +3 more
wiley +1 more source
Extended trigonometric Cherednik algebras and nonstationary Schr\"odinger equations with delta-potentials [PDF]
, 2012 We realize an extended version of the trigonometric Cherednik algebra as affine Dunkl operators involving Heaviside functions. We use the quadratic Casimir element of the extended trigonometric Cherednik algebra to define an explicit nonstationary Schr ...
Gaudin M. +4 more
core +2 more sources
THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS
Acta Polytechnica, 2016 The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail ...
Agata Bezubik, Severin Pošta
doaj +1 more source
Expansions of Trigonometrical Functions [PDF]
The Mathematical Gazette, 1905 n ...
openaire +1 more source
Extension of Oppenheim's Problem to Bessel Functions
Journal of Inequalities and Applications, 2008 Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
doaj +1 more source
Classification of errors in determining trigonometry function values at standard positions
Journal of Research and Advances in Mathematics Education, 2023 One of the important materials to study in a trigonometry course is the value of trigonometric functions in standard positions. However, the results of preliminary research show that there are still many first semester students who experience errors in ...
Yayan Eryk Setiawan Setiawan, Sunardi
doaj +1 more source
On generalized trigonometric functions and series of rational functions
, 2017 Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$.
Yu, Han
core +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
doaj +1 more source
Geometric Modeling Using New Cubic Trigonometric B-Spline Functions with Shape Parameter
Mathematics, 2020 Trigonometric B-spline curves with shape parameters are equally important and useful for modeling in Computer-Aided Geometric Design (CAGD) like classical B-spline curves.
Abdul Majeed +5 more
semanticscholar +1 more source
New Interaction Solutions for a (2 + 1)-Dimensional Vakhnenko Equation
Complexity, 2020 In this paper, we focus on the interaction solutions of a (2 + 1)-dimensional Vakhnenko equation. By using Hirota’s transformation combined with the three-wave method and with symbolic computation, some interaction solutions which include interaction ...
Qing Meng, Bin He
doaj +1 more source