Results 41 to 50 of about 10,860,223 (366)
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
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
Mock theta functions and Appell–Lerch sums
Journal 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
Construction of controllability function as time of motion
Visnik 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
Theta-gamma phase-amplitude coupling: physiological basics, analysis methods, and perspectives of translation into clinical practice [PDF]
Анналы 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
Older rats show slow modulation of hippocampal theta rhythm during voluntary running
Experimental 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
Non-trivial \theta-Vacuum Effects in the 2-d O(3) Model [PDF]
, 2011 We study \theta-vacua in the 2-d lattice O(3) model using the standard action and an optimized constraint action with very small cut-off effects, combined with the geometric topological charge.
Bögli, Michael +3 more
core +2 more sources
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
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
Covariant quantizations in plane and curved spaces [PDF]
, 2017 We present covariant quantization rules for nonsingular finite dimensional classical theories with flat and curved configuration spaces. In the beginning, we construct a family of covariant quantizations in flat spaces and Cartesian coordinates.
Assirati, J., Gitman, D. M.
core +3 more sources