Results 11 to 20 of about 4,291,467 (251)

A Mock Theta Function of Second Order

International Journal of Mathematics and Mathematical Sciences, 2009
We consider the second-order mock theta function 𝒟5 (𝑞), which Hikami came across in his work on mathematical physics and quantum invariant of three manifold.
Bhaskar Srivastava
doaj   +2 more sources

Analysis of theta power in hippocampal EEG during bar pressing and running behavior in rats during distinct behavioral contexts [PDF]

, 2004
These experiments examine changes in theta power as measured by wavelet analysis in five rats performing a conditional visual discrimination task and a simple running task. In the conditional task, rats were trained to press one lever to initiate a trial
Hyman, James M., Rossi, Christina A., James M. Hyman, Hasselmo, Michael E., Bradley P. Wyble, Wyble, Brad, Michael E. Hasselmo, Christina A. Rossi   +7 more
core   +1 more source

Decision time, slow inhibition, and theta rhythm [PDF]

, 2010
In this paper, we examine decision making in a spiking neuronal network and show that longer time constants for the inhibitory neurons can decrease the reaction times and produce theta rhythm.We analyze the mechanism and find that the spontaneous firing
Smerieri, Anteo, Edmund T. Rolls, Feng, Jianfeng, Jianfeng Feng, Rolls, Edmund T., Anteo Smerieri   +5 more
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The reverse Holder inequality for an elementary function

Математичні Студії, 2021
For a positive function $f$ on the interval $[0,1]$, the power mean of order $p\in\mathbb R$ is defined by \smallskip\centerline{$\displaystyle \|\, f\,\|_p=\left(\int_0^1 f^p(x)\,dx\right)^{1/p}\quad(p\ne0), \qquad \|\, f\,\|_0=\exp\left(\int_0^1\ln ...
A.O. Korenovskii
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Opers and theta functions

Advances in Mathematics, 2004
We construct natural maps (the Klein and Wirtinger maps) from moduli spaces of vector bundles on an algebraic curve $X$ to affine spaces, as quotients of the nonabelian theta linear series. We prove a finiteness result for these maps over generalized Kummer varieties (moduli of torus bundles), leading us to conjecture that the maps are finite in ...
Ben-Zvi, David, Biswas, Indranil
openaire   +3 more sources

Learning alters theta amplitude, theta-gamma coupling and neuronal synchronization in inferotemporal cortex [PDF]

, 2011
Background: How oscillatory brain rhythms alone, or in combination, influence cortical information processing to support learning has yet to be fully established.
Zhang Xuejuan, Yang Zhan, Zhan Yang, Nicol, Alister U., Fischer Hanno, Kendrick, Keith M., Xuejuan Zhang, Zhang, Xuejuan, Hanno Fischer, Nicol Alister U, Fischer, Hanno, Zhan, Yang, Alister U Nicol, Feng, Jianfeng, Jianfeng Feng, Keith M Kendrick, Kendrick Keith M, Feng Jianfeng   +17 more
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A computational study on altered theta-gamma coupling during learning and phase coding [PDF]

, 2012
There is considerable interest in the role of coupling between theta and gamma oscillations in the brain in the context of learning and memory. Here we have used a neural network model which is capable of producing coupling of theta phase to gamma ...
Yang Zhan, Haifu Zhou (157350), Zhang Xuejuan, Kendrick Keith M., Zhan Yang, Kendrick, Keith M., Xuejuan Zhang, Zhang, Xuejuan, Zhou Haifu, Jianfeng Feng (48703), Xuejuan Zhang (157336), Zhan, Yang, Keith M. Kendrick (157342), Zhou, Haifu, Haifu Zhou, Yang Zhan (157356), Feng, Jianfeng, Jianfeng Feng, Keith M Kendrick, Feng Jianfeng   +19 more
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Arithmetic properties for Andrews’ (48,6)- and (48,18)-singular overpartitions

Open Mathematics, 2019
Singular overpartition functions were defined by Andrews. Let Ck,i(n) denote the number of (k, i)-singular overpartitions of n, which counts the number of overpartitions of n in which no part is divisible by k and only parts ±i (mod k) may be overlined ...
Liu Eric H., Du Wenjing
doaj   +1 more source

A developmental examination of medial frontal theta dynamics and inhibitory control

NeuroImage, 2022
Medial frontal theta-band oscillations are a robust marker of action-outcome monitoring. In a large developmental sample (n = 432, 9–16 years), we examined whether phase and non-phase locked medial frontal theta power were related to inhibitory control ...
Stefon van Noordt, Taylor Heffer, Teena Willoughby   +2 more
doaj   +1 more source

Theta function identities involving fourth power [PDF]

Notes on Number Theory and Discrete Mathematics
On page 241 of his Second Notebook, Ramanujan recorded one of his theta function identity, which involves the ratio of the fourth power of theta functions with respect to ψ(q). In this article, we give a new proof for this theta function identity.
Praveenkumar, Siddaraju, R. Rangarajan
doaj   +1 more source