Results 31 to 40 of about 4,291,467 (251)
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
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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
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The change index of quantitative electroencephalography for evaluating the prognosis of large hemispheric infarction [PDF]
Journal of Integrative Neuroscience, 2021 A growing number of studies have demonstrated the role of quantitative electroencephalography in assessing brain function in neuro-intensive care units. Still, few studies have examined patients with large hemisphere infarction.
Jia Tian +6 more
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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
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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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Optimized Theta-Join Processing
, 2021 The Theta-Join is a powerful operation to connect tuples of different relational tables based on arbitrary conditions. The operation is a fundamental requirement for many data-driven use cases, such as data cleaning, consistency checking, and hypothesis ...
Papenbrock, Thorsten +2 more
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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
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Pacific Journal of Mathematics, 1982 Let A be an abelian, nilpotent finite dimensional algebra over R. Let B((.),(.)) be a symmetric, bilinear form on A which satisfies B(xy,w) = B(y,xw). Define ((.))--the scalar log function on A by (DIAGRAM, TABLE OR GRAPHIC OMITTED.PLEASE SEE DAI) It is shown that the Fourier transform of exp2(pi)i(sigma) (x), for (sigma) a rational member is (sigma)('-
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Abstract Augmented Lazy Theta*: Applying Graph Abstractions to Trajectory Planning with Speed-Limit Constraints [PDF]
, 2014 Trajectory planning is a generalisation of path planning in which velocity is also taken into consideration. Considering velocity, in the context of a real-world system such as a robotic vehicle, means considering physical constraints such as the ...
Chrpa, Lukáš, Gregory, Peter
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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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