Results 21 to 30 of about 329 (221)
Iterated period integrals and multiple Hecke L-functions [PDF]
Manuscripta Mathematica, 2013 In this paper we express the multiple Hecke $L$-function in terms of a linear combination of iterated period integrals associated with elliptic cusp forms, which is introduced by Manin around 2004. This expression generalizes the classical formula of Hecke $L$-function obtained by the Mellin transformation of a cusp form.
Choie, Y, Kentaro Ihara
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Multiple scattering and functional integrals [PDF]
Physical Review D, 1997 A functional integral method for performing the statistical averages implicit in problems involving multiple scattering is developed. The scattering fields in a noncrystalline medium are represented as a fixed set of fields for each incident particle, but are assumed to vary randomly from one particle in the beam to the next.
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Multiple integrals of Lipschitz functions in the calculus of variations [PDF]
Proceedings of the American Mathematical Society, 1977 We consider a multiple integral problem in the calculus of variations in which the integrand is locally Lipschitz but not differentiable, and in which minimization takes place over a Sobolev space. Using a minimax theorem, we derive an analogue of the classical Euler condition for optimality, couched in terms of “generalized gradients".
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Multitime hybrid differential games with multiple integral functional [PDF]
Optimization Letters, 2019 A multiple integral functional is equivalent to a curvilinear integral functional, if the domain is a hyper-parallelepiped, but equivalence is only theoretical. The introduction of this kind of functionals in multitime optimal control problems, particularly in multitime differential games, is due to recent works of Udriste research group.
Constantin Udriste +2 more
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Integrating Multiple Interaction Networks for Gene Function Inference [PDF]
Molecules, 2018 In the past few decades, the number and variety of genomic and proteomic data available have increased dramatically. Molecular or functional interaction networks are usually constructed according to high-throughput data and the topological structure of these interaction networks provide a wealth of information for inferring the function of genes or ...
Jingpu Zhang, Lei Deng
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Toward integration of biological and physiological functions at multiple levels [PDF]
Frontiers in Physiology, 2010 An aim of systems physiology today can be stated as to establish logical and quantitative bridges between phenomenological attributes of physiological entities such as cells and organs and physical attributes of biological entities, i.e., biological molecules, allowing us to describe and better understand physiological functions in terms of underlying ...
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Promoting return of function in multiple sclerosis: An integrated approach [PDF]
Multiple Sclerosis and Related Disorders, 2013 Multiple sclerosis is a disease characterized by inflammatory demyelination, axonal degeneration and progressive brain atrophy. Most of the currently available disease modifying agents proved to be very effective in managing the relapse rate, however progressive neuronal damage continues to occur and leads to progressive accumulation of irreversible ...
Mar, Gacias, Patrizia, Casaccia
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Physical Review ResearchThis paper introduces a comprehensive extension of the path-integral formalism to model stochastic processes with arbitrary multiplicative noise. To do so, the Itô diffusive process is generalized by incorporating a multiplicative noise term [η(t)] that ...
F. S. Abril-Bermúdez +3 more
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Asymptotic expansions of multiple integrals of rapidly oscillating functions [PDF]
Mathematics of Computation, 1988 Expansions of multiple integrals \[ ∫
Iwaniec, T., Lutoborski, A.
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