Results 41 to 50 of about 10,838,318 (324)
A partition identity and the universal mock theta function $g_2$ [PDF]
, 2013 We prove analytic and combinatorial identities reminiscent of Schur's classical partition theorem. Specifically, we show that certain families of overpartitions whose parts satisfy gap conditions are equinumerous with partitions whose parts satisfy ...
K. Bringmann +2 more
semanticscholar +1 more source
Theta variation and spatiotemporal scaling along the septotemporal axis of the hippocampus
Frontiers in Systems Neuroscience, 2015 Hippocampal theta has been related to locomotor speed, attention, anxiety, sensorimotor integration and memory among other emergent phenomena. One difficulty in understanding the function of theta is that the hippocampus (HPC) modulates voluntary ...
Lauren L Long +2 more
doaj +1 more source
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
doaj +1 more source
Passive Scalar: Scaling Exponents and Realizability [PDF]
, 1997 An isotropic passive scalar field $T$ advected by a rapidly-varying velocity field is studied. The tail of the probability distribution $P(\theta,r)$ for the difference $\theta$ in $T$ across an inertial-range distance $r$ is found to be Gaussian ...
A. Fairhall +24 more
core +2 more sources
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
doaj +1 more source
Quantum Thetas on Noncommutative T^4 from Embeddings into Lattice
, 2007 In this paper we investigate the theta vector and quantum theta function over noncommutative T^4 from the embedding of R x Z^2. Manin has constructed the quantum theta functions from the lattice embedding into vector space (x finite group).
Dieng M Schwarz A +8 more
core +1 more source
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
doaj +1 more source
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
core +1 more source
Scattering matrices and Weyl functions [PDF]
, 2006 For a scattering system $\{A_\Theta,A_0\}$ consisting of selfadjoint extensions $A_\Theta$ and $A_0$ of a symmetric operator $A$ with finite deficiency indices, the scattering matrix $\{S_\gT(\gl)\}$ and a spectral shift function $\xi_\Theta$ are ...
Behrndt, Jussi +2 more
core +5 more sources
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
semanticscholar +1 more source