Search results for "Bounded"
showing 10 items of 658 documents
A nonstandard Volterra integral equation on time scales
2019
Abstract This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales. We use Lipschitz type function and the Banach’s fixed point theorem at functional space endowed with a suitable Bielecki type norm. Furthermore, it allows to get new sufficient conditions for boundedness and continuous dependence of solutions.
Multi-Authored Manuscripts and Speedup in Academic Publishing
2014
It is unfair to count a n-authored paper as one paper for each coauthor, i.e., as n papers: this is “feeding the multitude”. Sharing the credit among coauthors by percentages or by simply dividing by n is fairer but somewhat harsh. So, we propose to take into account the productivity gains of parallelization by introducing a team bonus function that multiplies the allocation thereby increasing the credit allocated to each coauthor.The degree of parallelization cannot be determined exogenously discipline by discipline. So, one may propose that each team of coauthors indicates how the labor was organized to produce the paper. Unfortunately, the coauthors may systematically bias their answers …
Some applications of a theorem of Shirshov to language theory
1983
Some applications of a theorem of Shirshov to language theory are given: characterization of regular languages, characterization of bounded languages, and a sufficient condition for a language to be Parikh-bounded.
TH-C-AUD A-07: Evaluation of the Correction Factor Due to the Lack of Full Scatter Conditions in Cs-137 and Ir-192 Brachytherapy Dosimetric Studies
2008
Purpose: Use of a finite phantom to derive dose rate distributions around brachytherapysources implies a lack of backscattering material near the phantom periphery. Conventional planning algorithms and newly‐developed 3D correction algorithms are based on physics data under full scatter conditions. Presently, most published Monte Carlodosimetric studies have been obtained using either a spherical phantom (15cm in radius) or a cylinder phantom (40×40cm2). The study objective was to derive a simple relationship to correlate the radial dose function, g(r), obtained for each one of these phantoms to that obtained for an unbounded phantom. Method and Materials: Assuming bare point sources of 137…
How much choice is "good enough"? Moderators of information and choice overload
2021
In today’s world, people face an abundance of information and a great number of choices both in important domains, such as health care, retirement, and education, and in less important domains, such as the choice of breakfast cereal or chocolate. Choice overload and information overload have strong negative effects on many important decision- making aspects such as processing and using information, the motivation to act, the quality of choices, and post- choice feelings, which are discussed in Chapter 43 in this volume in more detail. However, small choice and information sets are not always optimal either. Several variables– – such as information usage, decision accuracy, motivation to cho…
Dimension reduction for $-Delta_1$
2012
A 3D-2D dimension reduction for $-\Delta_1$ is obtained. A power law approximation from $-\Delta_p$ as $p \to 1$ in terms of $\Gamma$- convergence, duality and asymptotics for least gradient functions has also been provided.
ECOSYSTEM MODELING FOR SUSTAINABLE MANAGEMENT
2015
Setting new coordinates in modeling in order to ensure sustainable development in the context of the Europe 2020 strategy requirements / Horizon 2020 is a priority for protecting natural resources. The current challenges are in identifying the key aspects of IT processes, economic and ecosystem problems to ensure sustainable development. The main objectives are: a. understanding that creation and dissemination of complex system are the basic factors of economic growth; b. modeling ecosystem should take into account a strategy based on memetic engineering, bounded rationality and "Just in time" decisions. Among the conclusions: a. ecosystem modeling should take into account a strategy that s…
Bounded Rationality for “Just In Time” Education
2011
Abstract If you cannot get answers keep putting questions The paper has three targets: a) Taken per se , it advances the research presented in a series of seven papers about education in a post-industrial (i.e., service-oriented) society broadening the scope from engineering to any kind of education reachable through reachable through permanent endeavour. b) Regarded as part of a “EU 2020 research cluster” with the aim to pro pose affordable approaches to education for sustainable development, the paper reveals bounded rationality (BR) as common denominator of, mechanism for, and connection between the two facets of permanent education: e- teaching and e- learning , the research aiming to m…
Asymptotic Hölder regularity for the ellipsoid process
2020
We obtain an asymptotic Hölder estimate for functions satisfying a dynamic programming principle arising from a so-called ellipsoid process. By the ellipsoid process we mean a generalization of the random walk where the next step in the process is taken inside a given space dependent ellipsoid. This stochastic process is related to elliptic equations in non-divergence form with bounded and measurable coefficients, and the regularity estimate is stable as the step size of the process converges to zero. The proof, which requires certain control on the distortion and the measure of the ellipsoids but not continuity assumption, is based on the coupling method.
Compactness in Groups of Group-Valued Mappings
2022
We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure. Quantitative characteristics modeled on these concepts allow us to estimate the Hausdorff measure of noncompactness in such a contest. Our results extend and encompass some generalizations of Fréchet–Šmulian and Ascoli–Arzelà compactness criteria found in the literature.