Results 41 to 50 of about 93,014 (230)
An Elementary Solution to a Duffing Equation
The Scientific World Journal, 2022 In this work, we study the Duffing equation. Analytical solution for undamped and unforced case is provided for any given arbitrary initial conditions.
Alvaro H. Salas
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Trigonometric words ranking model for spam message classification
IET Networks, EarlyView., 2022 Abstract The significant increase in the volume of fake (spam) messages has led to an urgent need to develop and implement a robust anti‐spam method. Several of the current anti‐spam systems depend mainly on the word order of the message in determining the spam message, which results in the system's inability to predict the correct type of message when
Suha Mohammed Hadi +7 more
wiley +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
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Proving some identities of Gosper on $q$-trigonometric functions
, 2018 Gosper introduced the functions $\sin_q z$ and $\cos_q z$ as $q$-analogues for the trigonometric functions $\sin z$ and $\cos z$ respectively. He stated but did not prove a variety of identities involving these two $q$-trigonometric functions.
Bachraoui, Mohamed El
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Approximation of classes B^ω_p,θ of periodic functions of several variables by polynomials with spectrum from cubic areas (in Ukrainian) [PDF]
Математичні Студії, 2011 We have obtained exact order estimates for error of approximation of classes B^ω_p,θ of periodic functions of several variables by trigonometric polynomials with spectrum from cubic areas.
S. A. Stasyuk
doaj
Families of Integrals of Polylogarithmic Functions
Mathematics, 2019 We give an overview of the representation and many connections between integrals of products of polylogarithmic functions and Euler sums. We shall consider polylogarithmic functions with linear, quadratic, and trigonometric arguments, thereby producing ...
Anthony Sofo
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Dihedral Gauss hypergeometric functions
, 2011 Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument ...
Vidunas, Raimundas
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Intelligent Acousto‐Electrical Metamaterials (IAM) for Sound Source Detection
Advanced Materials, EarlyView.Our proposed metamaterial concept enables sound source detection using a single material, in contrast to conventional arrays that require dozens or even hundreds of transducers. We show that the coupled acoustic–vibrational–electrical responses in piezoelectric metamaterials give rise to topology‐governed charge transport, producing distinct voltage ...
Victor Couëdel +7 more
wiley +1 more source
Applications of generalized trigonometric functions with two parameters II
, 2019 Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the $p$-Laplacian, which is known as a typical nonlinear differential operator. Compared to GTFs with one parameter,
Takeuchi, Shingo
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Advanced Materials, EarlyView.Interferometric second‐harmonic generation (SHG) imaging reveals the ubiquitous formation of antiparallel domains in CVD‐grown 2D hexagonal boron nitride. By resolving lattice orientation and SHG phase, hidden domain structures and disorder become visible over large areas. The SHG intensity quantitatively tracks crystalline quality across growth routes,
Yeri Lee +12 more
wiley +1 more source