Results 71 to 80 of about 262,495 (180)
Quantum Super Theta Vectors and Theta Functions
Kyungpook mathematical journal, 2016 \textit{Y. Manin}'s constructions of quantum theta function and quantum theta vector [Lett. Math. Phys. 56, 295--320 (2001; Zbl 1081.14501)] are extended to the super tori. Classically, theta functions play the role of observables and states. However, in quantum mechanics, the roles of observables and states separated.
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eLife, 2017 Although biophysical details of inhibitory neurons are becoming known, it is challenging to map these details onto function. Oriens-lacunosum/moleculare (O-LM) cells are inhibitory cells in the hippocampus that gate information flow, firing while phase ...
Vladislav Sekulić, Frances K Skinner
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Scientific ReportsMidfrontal theta oscillations have been linked to executive function, yet their role in autism—where this function is often compromised—remains unclear.
Camila Dias +7 more
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, 2002 The mock theta functions were invented by the Indian mathematician Srinivasa Ramanujan, who lived from 1887 until 1920. He discovered them shortly before his death. In this dissertation, I consider several of the examples that Ramanujan gave of mock theta functions, and relate them to real-analytic modular forms of weight 1/2.
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Theta Functions and Szeg�� Kernels
, 2002 We study relations between two fundamental constructions associated to vector bundles on a smooth complex projective curve: the theta function (a section of a line bundle on the moduli space of vector bundles) and the Szeg kernel (a section of a vector bundle on the square of the curve). Two types of relations are demonstrated.
Ben-Zvi, David, Biswas, Indranil
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Brain Research BulletinPostoperative cognitive dysfunction (POCD) is a common postoperative neurological complication, with memory consolidation deficits being one of its prominent features.
Zun-sai Feng +7 more
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Theta Functions on Noncommutative Tori
Letters in Mathematical Physics, 2001 Ordinary theta-functions can be considered as holomorphic sections of line bundles over tori. We show that one can define generalized theta-functions as holomorphic elements of projective modules over noncommutative tori (theta-vectors). The theory of these new objects is not only more general, but also much simpler than the theory of ordinary theta ...
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Explicitp-adic theta functions
Inventiones Mathematicae, 1986 Let \(k\) be an algebraically closed field of characteristic \(p>2\); let \(W(k)\) be the ring of Witt vectors over \(k\). Let \(B\) be a \(W(k)\)-algebra. \(B\) is said to be \(p\)-adic provided it is closed and separated in the \(p\)-adic topology.
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On a Double Series Representation of $\pi$
Известия Иркутского государственного университета: Серия "Математика", 2016 This paper proposes a new representation of $\pi$ as a double series. This representation follows from the relation between the Weierstrass $\wp$-function and the Jacobi theta-function.
E. Galushina
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