Results 61 to 70 of about 22,163 (226)
On Some Eisenstein Series Identities Associated with Borwein’s Cubic Theta Functions
Indian Journal of Pure and Applied Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
, 2005 We study Ramanujan's cubic continued fraction and explicit evaluations of theta ...
Adiga, Chandrashekar +3 more
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Advanced Materials Technologies, EarlyView.We developed a flexible multi‐material printing strategy that employs sequential printing with different printers. This combined use of printers expands the accessible material scope. Moreover, incorporating Xolography as a sequential step enables support‐free, contactless printing, thereby enhancing structural design flexibility beyond conventional ...
Kun Zhou, Cyrille Boyer
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Advanced Optical Materials, EarlyView.A dual‐domain PSLC architecture enables direct comparison of alignment‐dependent laser damage within a single device. Crack‐like and seal‐like morphologies emerge under different damage conditions, and their evolution is interpreted through quantitative image analysis and heat‐driven simulations.
Dengcheng Chen +4 more
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Cubic analogues of the Jacobian theta functions and the Jacobian elliptic functions
Journal of Number Theory, 2013 Abstract In this paper, the Jacobian theta functions, the Jacobian elliptic functions, and their cubic analogues are introduced. Then, the properties satisfied the cubic analogues are discussed.
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Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
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Differential equations involving cubic theta functions and Eisenstein series
, 2016 In this paper, we derive systems of ordinary differential equations (ODEs) satisfied by modular forms of level three, which are level three versions of Ramanujan's system of ODEs satisfied by the classical Eisenstein series.
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Cognitive Trajectories from Preclinical Alzheimer's Disease to Dementia
Advanced Science, EarlyView.A continuous, multi‐domain characterization of cognitive decline across the Alzheimer's disease spectrum identifies when individual cognitive measures become abnormal. Episodic memory declines first, followed by executive function, language, processing speed, and visuospatial abilities, supporting improved clinical interpretation and optimized endpoint
Fredrik Öhman +3 more
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A new model for the theta divisor of the cubic threefold [PDF]
, 2003 In this paper we give a birational model for the theta divisor of the intermediate Jacobian of a generic cubic threefold $X$. We use the standard realization of $X$ as a conic bundle and a $4-$dimensional family of plane quartics which are totally ...
Artebani, Michela +2 more
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Advanced Science, EarlyView.Direct orbital angular momentum (OAM) detection through the orbital photogalvanic effect offers a scalable route for integrated optoelectronics. This perspective evaluates symmetry‐driven material selection and demonstrates how electrode matrices enable the resolution of complex, mixed OAM modes.
Jinluo Cheng +5 more
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