Results 31 to 40 of about 1,130,446 (280)
Symbology for elliptic multiple polylogarithms and the symbol prime
Elliptic multiple polylogarithms occur in Feynman integrals and in particular in scattering amplitudes. They can be characterized by their symbol, a tensor product in the so-called symbol letters.
Matthias Wilhelm, Chi Zhang
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Gluon self-interaction in the position space in Landau gauge
We propose a method to treat the three-gluon self-interaction vertex in the position space in D = 4 - 2e dimensions. As an example, we calculate a two-loop contribution to auxiliary Lcc vertex in the Landau gauge which contains the three-gluon vertex for
Alday L. F. +11 more
core +4 more sources
Integral inequalities with an extended Poisson kernel and the existence of the extremals
In this article, we first apply the method of combining the interpolation theorem and weak-type estimate developed in Chen et al. to derive the Hardy-Littlewood-Sobolev inequality with an extended Poisson kernel.
Tao Chunxia, Wang Yike
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The new integral relaxation time for thermal activation of spins
The integral relaxation time for the difference of populations of the two potential wells for double-well classical spin systems is introduced. For the uniaxial symmetry, it is given by a quadrature.
Garanin, D. A.
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ABSTRACT Background Neuromyelitis optica spectrum disorder (NMOSD) is a relapsing autoimmune disease of the central nervous system. High‐dose intravenous methylprednisolone (IVMP) is the standard first‐line therapy for acute attacks, although some patients remain refractory.
Wataru Horiguchi +5 more
wiley +1 more source
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
An Efficient Anti-Noise Zeroing Neural Network for Time-Varying Matrix Inverse
The Time-Varying Matrix Inversion (TVMI) problem is integral to various fields in science and engineering. Countless studies have highlighted the effectiveness of Zeroing Neural Networks (ZNNs) as a dependable approach for addressing this challenge.
Jiaxin Hu, Feixiang Yang, Yun Huang
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Matrix integral expansion of colored Jones polynomials for figure-eight knot
In this note we examine a possible extension of the matrix integral representation of knot invariants beyond the class of torus knots. In particular, we study a representation of the SU(2) quantum Racah coefficients by double matrix integrals.
Alexandrov, Alexander, Melnikov, Dmitry
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On Double Trigonometric Integrals [PDF]
converges uniformly (or more generally is uniformly summable (C, k)) to zero as w-+ oc. Moreover, the coefficients am exhibit a regularity in their behavior as i m oo which is connected with that of ?(u). This result enables one to obtain theorems about the behavior of trigonometric integrals from the known theorems about trigonometric series.
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