Results 21 to 30 of about 141,680 (280)
On Unique and Nonunique Fixed Points in Metric Spaces and Application to Chemical Sciences
Journal of Function Spaces, 2021 We introduce the notions of a generalized Θ-contraction, a generalized ΘE-weak contraction, a ΨE-weak JS-contraction, an integral-type ΘE-weak contraction, and an integral-type ΨE-weak JS-contraction to establish the fixed point, fixed ellipse, and fixed
Meena Joshi, Anita Tomar
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All orders structure and efficient computation of linearly reducible elliptic Feynman integrals
Journal of High Energy Physics, 2019 We define linearly reducible elliptic Feynman integrals, and we show that they can be algorithmically solved up to arbitrary order of the dimensional regulator in terms of a 1-dimensional integral over a polylogarithmic integrand, which we call the inner
Martijn Hidding, Francesco Moriello
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Cyclic Identities Involving Jacobi Elliptic Functions [PDF]
, 2002 We state and discuss numerous mathematical identities involving Jacobi elliptic functions sn(x,m), cn(x,m), dn(x,m), where m is the elliptic modulus parameter. In all identities, the arguments of the Jacobi functions are separated by either 2K(m)/p or 4K(
Avinash Khare +3 more
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Constructive Solution of Ellipticity Problem for the First Order Differential System
Моделирование и анализ информационных систем, 2017 We built first order elliptic systems with any possible number of unknown functions and the maximum possible number of unknowns, i.e, in general. These systems provide the basis for studying the properties of any first order elliptic systems.
Vladimir E. Balabaev
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Unitarity of the Knizhnik-Zamolodchikov-Bernard connection and the Bethe Ansatz for the elliptic Hitchin systems [PDF]
, 1996 We work out finite-dimensional integral formulae for the scalar product of genus one states of the group $G$ Chern-Simons theory with insertions of Wilson lines.
A. Tsuchiya +15 more
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, 2017 We introduce a class of iterated integrals that generalize multiple polylogarithms to elliptic curves. These elliptic multiple polylogarithms are closely related to similar functions defined in pure math- ematics and string theory.
Broedel, Johannes +3 more
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Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]
, 2013 This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
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DESIGN OF EVACUATION EXITS IN ELLIPTICAL CORRIDOR TYPE BUILDINGS. CORRIDOR GEOMETRY [PDF]
Актуальные вопросы пожарной безопасностиThere is considered the possibility of solving the problem of choosing the optimal width of evacuation curved corridors, both sides of which are parts of an ellipse to further minimize the mixing of human flows (and, accordingly, prevent congestion when ...
Alexey V. Golkin +3 more
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The Cauchy-Pompeiu integral formula in elliptic complex numbers
, 2011 The aim of this article is to give a generalization of the Cauchy-Pompeiu integral formula for functions valued in parameter-depending elliptic algebras with structure polynomial $X^2 + \beta X + \alpha$ where $\alpha$ and $\beta$ are real numbers.
Alayon-Solarz, D., Vanegas, C. J.
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