Results 41 to 50 of about 6,096 (233)
The Anatomical Record, EarlyView.Abstract Tyrannosaurus is viewed as a model organism in vertebrate paleontology, with numerous studies analyzing its feeding biomechanics. Nonetheless, the evolution of this feeding performance has been under‐addressed in Tyrannosauroidea, especially in basal tyrannosauroids. Here we used muscle‐force reconstruction and finite element analysis (FEA) to
Evan Johnson‐Ransom +4 more
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Berichte zur Wissenschaftsgeschichte, EarlyView.I present and discuss two drafts of remarks prepared by the mathematician Hermann Minkowski (1864–1909). They were composed in December 1907 while preparing his paper on the “Basic Equations of Electromagnetic Processes in Moving Bodies” for publication in the Proceedings of the Göttingen Academy of Sciences.
Tilman Sauer
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Algorithms for Calculating Generalized Trigonometric Functions
AlgorithmsIn this paper, algorithms for calculating different types of generalized trigonometric and hyperbolic functions are developed and presented. The main attention is focused on the Ateb-functions, which are the inverse functions to incomplete Beta-functions.
Ivanna Dronyuk
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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 +3 more
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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
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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 +3 more
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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
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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 +4 more
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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
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Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Viscous dampers (VDs) are widely used to mitigate the excessive responses of long‐span bridges. However, VDs face some intricate challenges in engineering practices, including high damping coefficient requirement, potential base shear amplification and tremendous damping force under high velocity. To address these issues, this study develops a
Ruisheng Ma +5 more
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