A formula and numerical study on Ewald 1D summation
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Computational Chemistry"
DOI: 10.1002/jcc.27051
Abstract: Ewald summation is famous for its successful applications in molecular simulations for systems under 2 dimensional periodic boundary condition (2D PBC, e.g., planar interfaces) and systems under 3D PBC (e.g., bulk). However, the extension to… read more here.
Keywords: chemistry; ewald summation; study ewald; summation ... See more keywords
Exact summation of leading infrared logarithms in 2D effective field theories
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2019)007
Abstract: A bstractA method of exact all-order summation of leading infrared logarithms in two dimensional massless Φ4-type non-renormalizable effective field theories (EFTs) is developed. The method is applied to the O(N)-symmetric EFT, which is a two-dimensional… read more here.
Keywords: field theories; infrared logarithms; leading infrared; summation leading ... See more keywords
Two-party secure semiquantum summation against the collective-dephasing noise
Sign Up to like & getrecommendations! Published in 2022 at "Quantum Information Processing"
DOI: 10.1007/s11128-022-03459-z
Abstract: In this paper, we propose a two-party semiquantum summation protocol, where two classical users can accomplish the summation of their private binary sequences with the assistance of a quantum semi-honest third party (TP). The term… read more here.
Keywords: dephasing noise; semiquantum summation; summation; two party ... See more keywords
A novel discriminant approximation of periodic differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.10.040
Abstract: A new approximation of the discriminant of a second order periodic differential equation is presented as a recursive summation of the evaluation of its excitation function at different values of time. The new approximation is… read more here.
Keywords: periodic differential; differential equations; discriminant approximation; new approximation ... See more keywords
Symbolic summation methods and hypergeometric supercongruences
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124068
Abstract: Abstract In this paper, via the WZ method and the summation package Sigma , we establish the following two supercongruences: ∑ k = 0 ( p + 1 ) / 2 ( 3 k −… read more here.
Keywords: summation; methods hypergeometric; symbolic summation; summation methods ... See more keywords
Cortical summation and attentional modulation of combined chromatic and luminance signals
Sign Up to like & getrecommendations! Published in 2018 at "NeuroImage"
DOI: 10.1016/j.neuroimage.2018.04.066
Abstract: ABSTRACT Cortical networks that process colour and luminance signals are often studied separately, although colour appearance depends on both colour and luminance. In fact, objects in everyday life are very rarely defined by only colour… read more here.
Keywords: summation; contrast; colour luminance; luminance ... See more keywords
Efficient Evaluation of Two-Center Gaussian Integrals in Periodic Systems.
Sign Up to like & getrecommendations! Published in 2021 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.0c01195
Abstract: By using Poisson's summation formula, we calculate periodic integrals over Gaussian basis functions by partitioning the lattice summations between the real and reciprocal space, where both sums converge exponentially fast with a large exponent. We… read more here.
Keywords: summation; space; two center; reciprocal space ... See more keywords
Pavlovian summation: Data and theory.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of experimental psychology. Animal learning and cognition"
DOI: 10.1037/xan0000265
Abstract: In summation experiments, responding to a compound stimulus is assessed after conditioning a response to each of its components. This simple experiment poses significant challenges to models of associative learning because of substantial variability in… read more here.
Keywords: data theory; summation data; pavlovian summation; summation ... See more keywords
On the summation of Schlömilch's series
Sign Up to like & getrecommendations! Published in 2019 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2019.1695129
Abstract: ABSTRACT Schlömilch's series is named after the German mathematician Oscar Xavier Schlömilch, who derived it in 1857 as a Fourier series type expansion in terms of the Bessel function of the first kind. However, except… read more here.
Keywords: schl milch; series; milch series; summation ... See more keywords
Novel summation formulas for Jacobi and Gegenbauer polynomials
Sign Up to like & getrecommendations! Published in 2021 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2021.1902321
Abstract: Thermal equilibrium of a two-dimensional model of mobile point-like charges with pair logarithmic interactions, immersed in a fixed neutralising background, is exactly solvable at a special coupling constant. Assuming gauge invariance of the statistical mechanics… read more here.
Keywords: gegenbauer polynomials; novel summation; jacobi gegenbauer; summation ... See more keywords
Stress-induced analgesia: an evaluation of effects on temporal summation of pain and the role of endogenous opioid mechanisms
Sign Up to like & getrecommendations! Published in 2022 at "Pain Reports"
DOI: 10.1097/pr9.0000000000000987
Abstract: Acute stress reduced the initial pain rating in a temporal summation protocol via nonopioid mechanisms but did not affect temporal summation slope, an indicator of central sensitization. Abstract Introduction: Acute stress reduces responses to static… read more here.
Keywords: central sensitization; stress; temporal summation; pain ... See more keywords