Results 91 to 100 of about 846 (275)
An example concerning the Yosida-Hewitt decomposition of finitely additive measures [PDF]
, 1994 Let λ \lambda be Lebesgue measure on the Lebesgue σ \sigma -algebra L \mathcal {L} of I := ] 0 , 1 [ I:=]0,1[ .
Wolfgang Hensgen
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Proof mining and probability theory
Forum of Mathematics, SigmaWe extend the theoretical framework of proof mining by establishing general logical metatheorems that allow for the extraction of the computational content of theorems with prima facie “noncomputational” proofs from probability theory, thereby unlocking ...
Morenikeji Neri, Nicholas Pischke
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Advanced Engineering Materials, EarlyView.Dislocation cutting of γ′ precipitates in Ni‐based superalloys is investigated by linking atomistic simulations with discrete dislocation dynamics. The critical cutting stress is shown to be governed by the antiphase boundary energy, while line tension effects promote edge‐preferred cutting.
Frédéric Houllé +9 more
wiley +1 more source
Measurable tail disintegrations of the Haar integral are purely finitely additive [PDF]
, 1977 There are countably additive probability measures, P, and sub-sigma fields, relative to which P admits no proper, measurable, conditional distributions, except, possibly, those which are purely finitely additive.
Lester E. Dubins
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
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Advanced Engineering Materials, EarlyView.A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi +3 more
wiley +1 more source
Experimental Characterization of Mycelium‐Based Composites Under Multiple Loading Conditions
Advanced Engineering Materials, EarlyView.This study examines the mechanical response of mycelium‐based composites under compression, shear, and tension using mechanical testing and imaging methods. The comparison between unpressed and hot‐pressed specimens shows that hot pressing is associated with higher compression and shear stiffnesses.
Shaghayegh Elahi +5 more
wiley +1 more source
The Shapley-Folkman Theorem and the Range of a Bounded Measure: An Elementary and Unified Treatment [PDF]
We present proofs, based on the Shapley-Folkman theorem, of the convexity of the range of a strongly continuous, finitely additive measure, as well as that of an atomless, countably additive measure.
M. Ali Khan, Kali P. Rath
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A finitely additive generalization of the Fichtenholz-Lichtenstein theorem [PDF]
, 1974 Let μ \mu and ν \nu be bounded, finitely additive measures on algebras over sets X and Y, respectively. Conditions are determined for a bounded function f : X × Y →
George Edward Sinclair
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Advanced Engineering Materials, EarlyView.This work shows that the mechanical performance of multimaterial digital light processing (DLP) printed thermoset composites is governed by resin compatibility and interfacial design rather than spatial patterning alone. Brittle and ductile resin combinations produced premature interfacial failure, while graded interfaces and mechanically compatible ...
Ahmed M. H. Ibrahim +3 more
wiley +1 more source