Results 91 to 100 of about 64,375 (247)

Hypergeometric Solutions of Trigonometric KZ Equations Satisfy Dynamical Difference Equations

Advances in Mathematics, 2002
Abstract The trigonometric KZ equations associated to a Lie algebra g depend on a parameter λ∈h where h⊂g is a Cartan subalgebra. A system of dynamical difference equations with respect to λ compatible with the KZ equations is introduced by V. Tarasov and the second author (2000, Internat. Math. Res. Notices 15, 801–829).
Markov, Y., Varchenko, A.
openaire   +2 more sources

Moderate Deviation Principles for Lacunary Trigonometric Sums

Mathematische Nachrichten, EarlyView.
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley   +1 more source

On quantum trigonometric fractional calculus

Alexandria Engineering Journal
In this research work, we introduce an innovative concept known as the q-trigonometric derivative within the framework of the Caputo derivative. Our approach begins by introducing a novel notion of a trigonometric q-derivative and thoroughly examining ...
Lakhlifa Sadek, Ali Algefary
doaj   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation

Journal of Applied Mathematics, 2014
The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave ...
Peng Guo, Xiang Wu, Liangbi Wang
doaj   +1 more source

Boundary Yang-Baxter equation in the RSOS/SOS representation

, 1996
We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and non-diagonal.
Ahn, Ahn, Alekseev, Alekseev, Bazhonov, Bernard, C. Ahn, Cardy, Cherednik, de Vega, Destri, Fendley, Goshal, Kulish, Kulish, Kulish, Mezincescu, Pasquier, Saleur, Sklyanin, W.M. Koo, Yung, Zamolodchikov, Zhou, Zhou   +24 more
core   +2 more sources

A Reproducible Workflow for Modelling of 1H to 13C Polarization Transfer Kinetics Using Solid‐State NMR

Magnetic Resonance in Chemistry, EarlyView.
Reproducible and open workflow for solid‐state NMR combining two key methodological approaches: (A) an adaptive bucketing approach to automatically segment spectra into chemically relevant regions; and (B) an online modelling platform that allows users to fit intensity evolution curves with multiple models. ABSTRACT Quantitative analysis of solid‐state
D. Jacob, X. Falourd, C. Deborde, M. Lahaye, C. Rondeau‐Mouro   +4 more
wiley   +1 more source

Regularity and wave study of an advection–diffusion–reaction equation

Scientific Reports
In this paper, we investigate the optimal conditions to the boundaries where the unique existence of the solutions to an advection-diffusion-reaction equation is secured by applying the contraction mapping theorem from the study of fixed points. Also, we
Ali Akgül, Nauman Ahmed, Muhammad Shahzad, Muhammad Zafarullah Baber, Muhammad Sajid Iqbal, Choon Kit Chan   +5 more
doaj   +1 more source

The Solar Neighborhood XIII: Parallax Results from the CTIOPI 0.9-m Program -- Stars with mu >= 1"/year (MOTION Sample)

, 2005
We present the first set of definitive trigonometric parallaxes and proper motions from the Cerro Tololo Inter-American Observatory Parallax Investigation (CTIOPI). Full astrometric reductions for the program are discussed, including methods of reference
Bessel M. S., Edgardo Costa, Ianna P. A., Jennifer L. Bartlett, John P. Subasavage, Misty A. Brown, Philip A. Ianna, René A. Méndez, Todd J. Henry, Wei-Chun Jao   +9 more
core   +1 more source

Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan, Shusen Yuan, Wenxiang Deng, Haoqi Wen, Haochuan Sun, Jianyong Yao   +5 more
wiley   +1 more source