Pseudo almost periodic solutions of infinite class under the light of measure theory and applications
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7051
Abstract: The aim of this work is to present a new approach to study weighted pseudo almost periodic functions with infinite delay using the measure theory. We study the existence and uniqueness of (μ, ν)‐pseudo almost periodic… read more here.
Keywords: periodic solutions; solutions infinite; infinite class; almost periodic ... See more keywords
⋄α-Measurability and combined measure theory on time scales
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2020.1820997
Abstract: In this paper, we introduce the concept of ◊ α -measurability and establish the combined measure theory on time scales. Particularly, one can obtain Δ-measure theory and ∇-measure theory on time sc... read more here.
Keywords: combined measure; theory time; measure; measure theory ... See more keywords
K-essence and kinetic gravity braiding models in two-field measure theory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2019/07/027
Abstract: We show that, in the context of the two-field measure theory, any k-essence model leads to the existence of a fluid made of non-relativistic matter and cosmological constant that would explain the dark matter and… read more here.
Keywords: kinetic gravity; two field; field; field measure ... See more keywords
Geometric Measure Theory–Recent Applications
Sign Up to like & getrecommendations! Published in 2019 at "Notices of the American Mathematical Society"
DOI: 10.1090/noti1853
Abstract: GMT Introduction Geometric Measure Theory (GMT) provides a framework to address questions in very different areas of mathematics, including calculus of variations, geometric analysis, potential theory, free boundary regularity, harmonic analysis, and theoretical computer science.… read more here.
Keywords: theory recent; geometric measure; theory; measure theory ... See more keywords
Fundamental measure theory of inhomogeneous two-body correlation functions.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.103.042103
Abstract: For the three-dimensional hard-sphere model we investigate the inhomogeneous two-body correlations predicted by Rosenfeld's fundamental measure theory. For the special cases in which the density has either planar or spherical symmetry we provide analytic formulas… read more here.
Keywords: fundamental measure; measure theory; inhomogeneous two; two body ... See more keywords
Concentration-of-Measure Theory for Structures and Fluctuations of Waves.
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.121.140603
Abstract: The emergence of nonequilibrium phenomena in individual complex wave systems has long been of fundamental interest. Its analytic studies remain notoriously difficult. Using the mathematical tool of the concentration of measure, we develop a theory… read more here.
Keywords: structures fluctuations; fluctuations waves; theory structures; measure theory ... See more keywords
Off the peg or made to measure: how does this theory fit?
Sign Up to like & getrecommendations! Published in 2017 at "Medical Education"
DOI: 10.1111/medu.13253
Abstract: Medical education research is generally concerned with change. Changes in knowledge, skills, practices, environments, curricula, clinical teams, training, organisations and so on – arguably learning always encompasses change and change encompasses learning. Previously, much medical… read more here.
Keywords: medical education; change; peg made; theory fit ... See more keywords