Results 21 to 30 of about 15,881,766 (242)

Gronwall-OuIang-Type Integral Inequalities on Time Scales

open access: yesJournal of Inequalities and Applications, 2010
We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals.
Ailian Liu, Martin Bohner
doaj   +2 more sources

Measure on Time Scales with Mathematica [PDF]

open access: yes, 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
openaire   +4 more sources

Time scales in spectator fragmentation [PDF]

open access: yesNuclear Physics A, 2001
8 pages, with 5 included figures; To appear in the proceedings of the CRIS 2000 conference; Also available from http://www-kp3.gsi.de/www/kp3/aladin_publications ...
C. SCHWARZ   +37 more
openaire   +5 more sources

Long-Time Data Storage: Relevant Time Scales

open access: yesChallenges, 2011
Dynamic processes relevant for long-time storage of information about human kind are discussed, ranging from biological and geological processes to the lifecycle of stars and the expansion of the universe.
Miko C. Elwenspoek
doaj   +1 more source

Discounting in Games across Time Scales [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
We introduce two-level discounted games played by two players on a perfect-information stochastic game graph. The upper level game is a discounted game and the lower level game is an undiscounted reachability game.
Krishnendu Chatterjee, Rupak Majumdar
doaj   +1 more source

Unilateral Laplace Transforms on Time Scales

open access: yesMathematics, 2022
We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties. We also present the corresponding inverse integrals and some examples.
Müfit Şan, Manuel D. Ortigueira
doaj   +1 more source

Forward Curvatures on Time Scales

open access: yesAbstract and Applied Analysis, 2011
We also introduce forward curvature of a curve and give some formulas to calculate forward curvature of a curve on time scales which may be an arbitrary closed subsets of the set of all real numbers.
M. S. Seyyidoglu   +4 more
doaj   +1 more source

A Hierarchy of Time-Scales and the Brain

open access: yesPLoS 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
openaire   +7 more sources

The time scale logarithm

open access: yesApplied 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 \(C_n^1(\mathbb{T},\mathbb{R})\).
openaire   +3 more sources

Mary Porter Scales-Batts [PDF]

open access: yes, 1998
The recollections of Mary Porter Scales-Batts about her time at the Nashville Christian ...
Scales-Batts, Mary Porter
core   +1 more source

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