Results 51 to 60 of about 10,268,847 (308)
Functional Representation of the Volterra Hierarchy [PDF]
Journal of Nonlinear Mathematical Physics, 2005 In this paper I study the functional representation of the Volterra hierarchy (VH). Using the Miwa's shifts I rewrite the infinite set of Volterra equations as one functional equation. This result is used to derive a formal solution of the associated linear problem, a generating function for the conservation laws and to obtain a new form of the Miura ...
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Exploring the contemporary spatial and temporary dynamics of the settlement hierarchy and system in Serbia's Srem Region [PDF]
Geographica PannonicaNewer trends of balanced regional development emphasize the development of functional integrational areas and strong spatial and functional relations based on the nodal concept and a functional process approach.
Đerčan Bojan +5 more
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Effects of classic psychedelic drugs on turbulent signatures in brain dynamics
Network Neuroscience, 2022 Psychedelic drugs show promise as safe and effective treatments for neuropsychiatric disorders, yet their mechanisms of action are not fully understood.
Josephine Cruzat +12 more
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Tau-functions and generalized intergrable hierarchies [PDF]
Communications in Mathematical Physics, 1993 23 ...
Hollowood, Timothy, Miramontes, J. Luis
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Functional annotation of hierarchical modularity.
PLoS ONE, 2012 In biological networks of molecular interactions in a cell, network motifs that are biologically relevant are also functionally coherent, or form functional modules.
Kanchana Padmanabhan +2 more
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Gradients of cortical hierarchy in Autism [PDF]
Research Ideas and Outcomes, 2017 Autism is a developmental condition associated with altered functional connectivity. We propose to re-frame the functional connectivity alterations in terms of gradients that capture the functional hierarchy of cortical processing from sensory to default-
Richard Bethlehem +7 more
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A new hierarchy of elementary functions [PDF]
Proceedings of the American Mathematical Society, 1969 0. Introduction. Let C be the class of all functions on nonnegative integers into nonnegative integers for which there is a mechanical procedure for obtaining the values from the arguments. Such functions are called computable. C will contain functions whose computations are of very different complexity.
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On the hierarchy of functioning rules in distributed computing [PDF]
RAIRO - Operations Research, 1999 Summary: In previous papers, we used a Markovian model to determine the optimal functioning rules of a distributed system in various settings. Searching optimal functioning rules amounts to solve an optimization problem under constraints. The hierarchy of solutions arising from the above problem is called the ``first order hierarchy'', and may possibly
Bui, Alain +2 more
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$w$-function of the KdV hierarchy
American Mathematical Society. Translations, 2004 In this paper we construct a family of commuting multidimensional differential operators of order 3, which is closely related to the KdV hierarchy. We find a common eigenfunction of this family and an algebraic relation between these operators. Using these operators we associate a hyperelliptic curve to any solution of the stationary KdV equation.
Buchstaber, Victor, S., YU. SHORINA
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Communications Biology, 2023 Functional MRI data obtained during an auditory working memory (WM) task, shows that maintenance of WM in humans involves contentspecific functional connectivity across different cortical hierarchy.
Jyrki Ahveninen +4 more
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