Results 31 to 40 of about 1,586 (179)

Covariance of the number of real zeros of a random trigonometric polynomial

International Journal of Mathematics and Mathematical Sciences, 2006
For random coefficients aj and bj we consider a random trigonometric polynomial defined as Tn(θ)=∑j=0n{ajcos⁡jθ+bjsin⁡jθ}. The expected number of real zeros of Tn(θ) in the interval (0,2π) can be easily obtained. In this note we show that this number is
K. Farahmand, M. Sambandham
doaj   +1 more source

Flexible Memory: Progress, Challenges, and Opportunities

Advanced Intelligent Discovery, EarlyView.
Flexible memory technology is crucial for flexible electronics integration. This review covers its historical evolution, evaluates rigid systems, proposes a flexible memory framework based on multiple mechanisms, stresses material design's role, presents a coupling model for performance optimization, and points out future directions.
Ruizhi Yuan, Sen Chen, Minghui Guo, Ziliang Cui, Yujie Du, Jing Liu   +5 more
wiley   +1 more source

Universal centers in the cubic trigonometric Abel equation

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné, Maite Grau, Xavier Santallusia   +2 more
doaj   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Characteristics of Deformation and Damage of Multi‐Thin Composite Oil Shale Top Plate Under the Influence of Different Factors

Energy Science &Engineering, EarlyView.
In this study, the key control mechanism of surrounding rock stability is revealed by theoretical analysis and UDEC‐Trigon numerical simulation method, aiming at the problem that oil shale roof is prone to separation and slip deformation under complex stress.
Jiang Xiao, Yujiang Liu, Yihui Wang, Boyuan Zhang, Yulin Wang, Tongxiaoyu Wang   +5 more
wiley   +1 more source

Review on non-polynomial high-order accuracy nonlinear weighted schemes

Kongqi donglixue xuebao
In comparison to linear schemes, the nonlinear errors inherent in polynomial-based high-order nonlinear weighted schemes significantly affect the resolution when solving weak solutions of hyperbolic conservation laws. To mitigate this impact, researchers
Haomin Li, Meiliang Mao, Jinwei Bai, Weizhong Dong, Huajun Zhu   +4 more
doaj   +1 more source

THE MEAN LIGHT CURVES OF THE MIRA-TYPE STARS IN THE H- AND K-BANDS

Odessa Astronomical Publications, 2016
. For nine Mira-type stars (o Cet, R Leo, S Car, U Her, X Oph, R Aql, RR Aql, S Ori, S Scl,) and one semi-regular star (L2 Pup), the mean light curves have been obtained.
L. S. Kudashkina
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Algorithms for trigonometric polynomials [PDF]

Proceedings of the 2001 international symposium on Symbolic and algebraic computation, 2001
In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonometric polynomials, that is, polynomials in sin(x) and cos(x).
Jamie Mulholland, Michael Monagan
openaire   +1 more source

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