Results 51 to 60 of about 10,860,223 (366)
Scientific Reports, 2022 The neurophysiological processes underlying the inhibition of impulsive responses have been studied extensively. While also the role of theta oscillations during response inhibition is well examined, the relevance of resting-state theta activity for ...
Charlotte Pscherer +3 more
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Theta Functions on the Theta Divisor
Rocky Mountain Journal of Mathematics, 2010 We show that the gradient and the hessian of the Riemann theta function in dimension n can be combined to give a theta function of order n+1 and modular weight (n+5)/2 defined on the theta divisor. It can be seen that the zero locus of this theta function essentially gives the ramification locus of the Gauss map.
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The Lattice $\beta$-function of Quantum Spin Chains
, 2006 We derive the lattice $\beta$-function for quantum spin chains, suitable for relating finite temperature Monte Carlo data to the zero temperature fixed points of the continuum nonlinear sigma model.
Kosterlitz J M +3 more
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Frontiers in Integrative Neuroscience, 2020 Theta burst stimulation is increasingly growing in popularity as a non-invasive method of moderating corticospinal networks. Theta burst stimulation uses gamma frequency trains applied at the rhythm of theta, thus, mimicking theta–gamma coupling involved
Ronald Ngetich +4 more
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Brain Stimulation, 2021 Background: There is significant evidence for cognitive decline following deep brain stimulation (DBS). Current stimulation paradigms utilize gamma frequency stimulation for optimal motor benefits; however, little has been done to optimize stimulation ...
Jordan Lam +13 more
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Two Coupled Harmonic Oscillators on Non-commutative Plane
, 2003 We investigate a system of two coupled harmonic oscillators on the non-commutative plane \RR^2_{\theta} by requiring that the spatial coordinates do not commute. We show that the system can be diagonalized by a suitable transformation, i.e.
AHMED JELLAL +13 more
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Journal of Computational and Applied Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tau Function Approach to Theta Functions [PDF]
, 2015 We study theta functions of a Riemann surface of genus g from the view point of tau function of a hierarchy of soliton equations. We study two kinds of series expansions. One is the Taylor expansion at any point of the theta divisor.
A. Nakayashiki
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Entanglement-assisted zero-error capacity is upper bounded by the Lovasz theta function [PDF]
arXiv.org, 2010 The zero-error capacity of a classical channel is expressed in terms of the independence number of some graph and its tensor powers. This quantity is hard to compute even for small graphs such as the cycle of length seven, so upper bounds such as the ...
Salman Beigi
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Computing Riemann theta functions [PDF]
Mathematics of Computation, 2003 The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics. In this paper, algorithms for its computation are given.
Deconinck, Bernard +4 more
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