Results 71 to 80 of about 23,097 (257)
Purely finitely additive measures are non-constructible objects [PDF]
The existence of a purely finitely additive measure cannot be proved in Zermelo-Frankel set theory if the use of the Axiom of Choice is disallowed.Finitely additive probabilities; Charges; Axiom of choice; Constructivism.
Luc LAUWERS
core
Advanced Engineering Materials, EarlyView.The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu +8 more
wiley +1 more source
A Radon-Nikodym derivative for almost subadditive set functions [PDF]
In classical measure theory, the Radon-Nikodym theorem states in a concise condition, namely domination, how a measure can be factorized by another (bounded) measure through a density function.
Yann Rébillé
core
Evaluating Energy Absorption Performance of Filled Lattice Structures
Advanced Engineering Materials, EarlyView.Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney +2 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.
Kali P. Rath, M. Ali Khan
core
Advanced Engineering Materials, EarlyView.EDX elemental map of the pre‐oxidized MgO–steel cermet anode cross section after electrolysis. The development of inert anodes for aluminum electrolysis remains challenging due to the high corrosivity of cryolite‐based melts at 950°C–1000°C. This study investigates the corrosion and process behavior of a carbon‐free MgO–steel cermet anode derived from ...
Alexander Adamczyk +7 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.This study investigates how tramp elements from increased scrap usage influence phase transformations in low‐alloyed steel. Combining dilatometry and microscopy reveal that tramp elements delay transformations, reduce critical cooling rates and increase hardenability.
Lukas Hatzenbichler +5 more
wiley +1 more source
Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
europepmc +1 more source
Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam
Advanced Engineering Materials, EarlyView.Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley +1 more source
Bohr sets in sumsets I: Compact abelian groups
Discrete AnalysisBohr sets in sumsets I: Compact abelian groups, Discrete Analysis 2025:11, 37 pp. Since Bogolyubov’s 1939 result concerning Bohr structure inside sets of the form $A+A−A−A$, much has been written about how “smooth” sumsets are, where smoothness is ...
Anh N Le, Thái Hoàng Lê
doaj +1 more source