Results 31 to 40 of about 262,495 (180)

Theta-gamma phase-amplitude coupling: physiological basics, analysis methods, and perspectives of translation into clinical practice [PDF]

open access: yesАнналы клинической и экспериментальной неврологии, 2022
Studying rhythmic neural synchronization (cross-frequency coupling in various ranges) is an emerging topic in present-day neurophysiology. One of the best-studied cross-frequency couplings is theta-gamma phase-amplitude coupling that contributes to the ...
Alexandra G. Poydasheva   +6 more
doaj   +1 more source

Construction of controllability function as time of motion

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023
This article is devoted to the controllability function method in admissible synthesis problems for linear canonical systems. The work considers methods of constructing such control so that the controllability function is time of motion of an arbitrary ...
V. I. Korobov, T. V. Andriienko
doaj   +1 more source

Mock theta functions and Appell–Lerch sums

open access: yesJournal of Inequalities and Applications, 2018
Recently, Mortenson (Proc. Edinb. Math. Soc. 4:1–13, 2015) explored the bilateral series in terms of Appell–Lerch sums for the universal mock theta function g2(x,q) $g_{2}{(x,q)}$.
Bin Chen
doaj   +1 more source

Older rats show slow modulation of hippocampal theta rhythm during voluntary running

open access: yesExperimental Gerontology, 2023
Aging causes brain function degeneration and slows many motor and behavioural responses. The hippocampal theta rhythm (4–12 Hz) is related to cognition and locomotion.
Cheryl C.H. Yang   +5 more
doaj   +1 more source

Quantum Thetas on Noncommutative T^4 from Embeddings into Lattice

open access: yes, 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

Efficient prime counting and the Chebyshev primes [PDF]

open access: yes, 2011
The function $\epsilon(x)=\mbox{li}(x)-\pi(x)$ is known to be positive up to the (very large) Skewes' number. Besides, according to Robin's work, the functions $\epsilon_{\theta}(x)=\mbox{li}[\theta(x)]-\pi(x)$ and $\epsilon_{\psi}(x)=\mbox{li}[\psi(x)]-\
Planat, Michel, Solé, Patrick
core   +5 more sources

Theta variation and spatiotemporal scaling along the septotemporal axis of the hippocampus

open access: yesFrontiers 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

Resting-state theta activity is linked to information content-specific coding levels during response inhibition

open access: yesScientific 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

The Lattice $\beta$-function of Quantum Spin Chains

open access: yes, 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
core   +1 more source

Theta Functions on the Theta Divisor

open access: yesRocky 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.
openaire   +4 more sources

Home - About - Disclaimer - Privacy