Results 71 to 80 of about 93,014 (230)

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

Extension of Oppenheim's Problem to Bessel Functions

Journal of Inequalities and Applications, 2007
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.
Zhu Ling, Baricz Árpád
doaj  

Teaching Transformations of Trigonometric Functions with Technology

Journal of Interactive Media in Education, 2020
Trigonometry is integral to mathematics education. The field of trigonometry plays a crucial role in the study of mathematics and its applications. Despite the importance of the subject, students struggle to understand trigonometric constructs such as ...
Neil Bornstein
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

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

Inequalities for the generalized trigonometric functions with respect to weighted power mean

Demonstratio Mathematica
The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional pp-Laplacian. In this study, the authors investigate some weighted power mean inequalities for the pp-generalized trigonometric functions ...
Zhong Genhong, Ma Xiaoyan
doaj   +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

Dynamic response at the terminus of oblique intersecting joints subjected to stress waves

Deep Underground Science and Engineering, EarlyView.
This study derives the propagation equation for stress waves impinging upon nonlinear oblique intersecting joints. It analyzes the dynamic response at the terminus of nonlinear oblique intersecting joints subjected to stress waves. Abstract To investigate the dynamic response at the terminus of oblique intersecting joints subjected to stress waves, a ...
Gang Hu, Xiang Chen, Honglu Fei, Shijie Bao, Jian Guo   +4 more
wiley   +1 more source

Approximating trigonometric functions by using exponential inequalities

Journal of Inequalities and Applications, 2019
In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
doaj   +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