Results 71 to 80 of about 1,540,688 (355)

Sharp bounds for generalized elliptic integrals of the first kind [PDF]

, 2015
In this paper, we prove that the double inequality \begin{equation*} 1+\alpha r ...
Miao-Kun Wang, Y. Chu, S. Qiu
semanticscholar   +1 more source

The ε-form of the differential equations for Feynman integrals in the elliptic case [PDF]

Physics Letters B, 2018
Feynman integrals are easily solved if their system of differential equations is in e-form. In this letter we show by the explicit example of the kite integral family that an e-form can even be achieved, if the Feynman integrals do not evaluate to ...
Luise Adams, S. Weinzierl
semanticscholar   +1 more source

Investigation of Oxygen‐Free Wetting Behavior of Aluminum on Copper via Molecular Dynamics Simulations and Experiments

Advanced Engineering Materials, EarlyView.
The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu, Timon Steinhoff, Finn‐Lennard Janthur, Sarah Seffer, Jörg Hermsdorf, Christian Klose, Ludger Overmeyer, Hans‐Jürgen Maier, Nina Merkert   +8 more
wiley   +1 more source

Analytic two-loop amplitudes for q q ¯ → γγ $$ q\overline{q}\to \gamma \gamma $$ and gg → γγ mediated by a heavy-quark loop

Journal of High Energy Physics
We address the analytic computation of the two-loop scattering amplitudes for the production of two photons in parton-parton scattering, mediated by loops of heavy quarks.
Matteo Becchetti, Federico Coro, Christoph Nega, Lorenzo Tancredi, Fabian J. Wagner   +4 more
doaj   +1 more source

Solid angle subtended by a cylindrical detector at a point source in terms of elliptic integrals

, 2003
The solid angle subtended by a right circular cylinder at a point source located at an arbitrary position generally consists of a sum of two terms: that defined by the cylindrical surface ($\Omega_{cyl}$) and the other by either of the end circles ...
Gardner, Gillespie, Green, Hastings, M.J. Prata, Masket, Milne-Thomson, Prata, Verghese   +8 more
core   +1 more source

Productivity‐Driven Optimization of Laser Powder Bed Fusion Parameters for IN718 Superalloy: Process Control, Microstructure, and Mechanical Properties

Advanced Engineering Materials, EarlyView.
This study demonstrates how optimizing laser power, scanning speed, and hatching distance in laser powder bed fusion can boost the productivity of Inconel 718 manufacturing by up to 29% while maintaining mechanical integrity. The work delivers a validated process window and cost–time analysis, offering industry‐ready guidelines for efficient additive ...
Amir Behjat, Guido Barale, John Stavridis, Ehsan Norouzi, Jin‐Yoo Suh, Dong‐Ik Kim, Luca Iuliano, Abdollah Saboori   +7 more
wiley   +1 more source

Fonctions et intégrales elliptiques [PDF]

Surveys in Mathematics and its Applications, 2008
This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as the simple pendulum and the Euler ...
Ahmed Lesfari
doaj  

Open-string integrals with multiple unintegrated punctures at genus one

Journal of High Energy Physics, 2022
We study integrals appearing in intermediate steps of one-loop open-string amplitudes, with multiple unintegrated punctures on the A-cycle of a torus. We construct a vector of such integrals which closes after taking a total differential with respect to ...
André Kaderli, Carlos Rodriguez
doaj   +1 more source

Explicit Formulas for Some Infinite ₃F₂(1)-Series

Axioms, 2021
We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument. We solve them to give the explicit formulas. Additionally, we use the moments of Ramanujan’s generalized elliptic integrals to obtain these recurrence ...
Kwang-Wu Chen
doaj   +1 more source

Compact formulas for guiding-center orbits in axisymmetric tokamak geometry

, 2010
Compact formulas for trapped-particle and passing-particle guiding-center orbits in axisymmetric tokamak geometry are given in terms of the Jacobi elliptic functions and complete elliptic integrals.
Brizard, Alain J.
core   +1 more source