Results 21 to 30 of about 844,674 (258)
A Hierarchy of Time-Scales and the Brain
PLoS Computational Biology, 2008 In this paper, we suggest that cortical anatomy recapitulates the temporal hierarchy that is inherent in the dynamics of environmental states. Many aspects of brain function can be understood in terms of a hierarchy of temporal scales at which representations of the environment evolve. The lowest level of this hierarchy corresponds to fast fluctuations
Stefan J. Kiebel +2 more
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Applied Mathematics Letters, 2008 The author defines the time scale logarithm and considers some of its properties. \(C_n^1(\mathbb{T},\mathbb{R})\) is a set of nonvanishing continuously delta differentiable functions, \(M_m(C_n^1(\mathbb{T},\mathbb{R}))\) is the set of \(m\times m\) differentiable and invertible matrices with the entries in \(C_n^1(\mathbb{T},\mathbb{R})\).
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Hermite’s equations on time scales
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorota Mozyrska, Ewa Pawluszewicz
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The Lie Brackets on Time Scales
Abstract and Applied Analysis, 2012 The Lie derivative, which has a wide range of application in physics and geometry, is trying to be examined on time scales. Firstly, nabla Lie bracket is defined on two-dimensional time scales.
H. Kusak, A. Caliskan
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Mathematica Applications on Time Scales [PDF]
, 2005 Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and continuous processes, besides many others.
Ahmet Yantir, Ünal Ufuktepe
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Random integral equations on time scales [PDF]
Opuscula Mathematica, 2013 In this paper, we present the existence and uniqueness of random solution of a random integral equation of Volterra type on time scales. We also study the asymptotic properties of the unique random solution.
Vasile Lupulescu, Cristina Lungan
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Logistic equation on time scales
Examples and CounterexamplesWe propose a new dynamic logistic equation that, in contrast with the one available in the literature, preserves the non-negativity of its solutions, which is an essential property for biological meaning.
Márcia Lemos-Silva, Delfim F.M. Torres
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Platinum‐based chemotherapy is known to cause severe and debilitating hearing loss, but unlike cisplatin, the true incidence of carboplatin‐induced hearing loss remains unclear. We evaluated functional hearing outcomes in children receiving carboplatin to determine the incidence and severity of ototoxicity. Procedure We identified a
Aniket Chawla +6 more
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Measure on Time Scales with Mathematica [PDF]
, 2006 In this paper we study the Lebesgue Δ-measure on time scales. We refer to [3, 4] for the main notions and facts from the general measure and Lebesgue Δ integral theory. The objective of this paper is to show how the main concepts of Mathematica can be applied to fundamentals of Lebesgue Δ- and Lebesgue $\nabla$- measure on an arbitrary time scale and ...
Ünal Ufuktepe, Ahmet Yantir
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