Results 51 to 60 of about 54,190 (232)

Bond and Antibond Resonances: A Unified Framework for Singlet Biradical Character

Chemistry – A European Journal, EarlyView.
The electronic structure of a variety of singlet biradicaloids may be described in the Lewis picture using single antibonds as the central bonding motif. In conjunction with a consistent set of biradical indicators, we can resolve some long‐standing disputes over the biradical character of molecules such as O3 and S2N2.
Daniel T. Gschwind, Jonas Bresien
wiley   +1 more source

Boundedness of approximate trigonometric functions

Applied Mathematics Letters, 2009
\textit{J. A. Baker} [Proc. Am. Math. Soc. 80, 411--416 (1980; Zbl 0448.39003)] and \textit{W. P. Cholewa} [Proc. Am. Math. Soc. 88, 631--634 (1983; Zbl 0547.39003)] investigated the stability of the cosine functional equation and sine functional equation, respectively. In this paper the authors consider the following functional inequality \[ |f(x+y)-f(
Kim, Gwang Hui, Lee, Young Whan
openaire   +2 more sources

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

Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent

Journal of Numerical Analysis and Approximation Theory, 2021
In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
doaj  

Stopping Power of Electron Liquid for Slow Quantum Projectiles

Contributions to Plasma Physics, EarlyView.
ABSTRACT We revisit the problem of the deceleration of a charge moving in a medium. In the low‐velocity limit of the projectile, we construct the fully nonlinear (in the charge–target interaction) theory of the stopping power (SP), which goes beyond the classical Ehrenfest dynamics.
Vladimir U. Nazarov, E. K. U. Gross
wiley   +1 more source

Approximation of functions in Besov space by deferred Cesàro mean

Journal of Inequalities and Applications, 2016
In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.
Mradul Veer Singh, Madan Lal Mittal
doaj   +1 more source

Trigonometric approximation of functions f ( x , y ) $f(x,y)$ of generalized Lipschitz class by double Hausdorff matrix summability method

Advances in Difference Equations, 2020
In this paper, we establish a new estimate for the degree of approximation of functions f ( x , y ) $f(x,y)$ belonging to the generalized Lipschitz class L i p ( ( ξ 1 , ξ 2 ) ; r ) $Lip ((\xi _{1}, \xi _{2} );r )$ , r ≥ 1 $r \geq 1$ , by double ...
Abhishek Mishra, Vishnu Narayan Mishra, M. Mursaleen   +2 more
doaj   +1 more source

Asymmetric Feature Maps with Application to Sketch Based Retrieval

, 2017
We propose a novel concept of asymmetric feature maps (AFM), which allows to evaluate multiple kernels between a query and database entries without increasing the memory requirements.
Chum, Ondřej, Tolias, Giorgos
core   +1 more source

Analytical stress solution framework for lined compressed air energy storage chambers and its application to safe burial depth determination and supporting effectiveness evaluation

Deep Underground Science and Engineering, EarlyView.
An analytical framework delivers a closed‐form stress solution for lined compressed air energy storage chambers, enabling the determination of the minimum safe burial depth. The solution quantitatively evaluates lining support effectiveness, offering a reliable tool for chamber design and optimization.
Zeyuan Sun, Cheng Zhao, Jinquan Xing, Qinyuan Luo   +3 more
wiley   +1 more source

Design of a Hydroelectronic Solar‐Tracking System for Solar Panels

Energy Science &Engineering, EarlyView.
A prototype of a passive solar‐tracking system utilizing buoyant force based on water level was developed, and its MATLAB/Simulink model was implemented. This study is expected to encourage researchers to design solar‐tracking mechanisms using metals with different thermal expansion coefficients, air, oil, and other fluids. ABSTRACT This study presents
Ufuk Süğürtin, Türker Fedai Çavuş
wiley   +1 more source