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Calculated interdiffusivities resulting from different fitting functions applied to measured concentration profiles in Cu-rich fcc Cu-Ni-Sn alloys at 1073 K [PDF]

open access: yesJournal of Mining and Metallurgy. Section B: Metallurgy, 2017
Employing six groups of bulk diffusion couples together with electron probe microanalysis technique, the compositiondependences of ternary interdiffusion coefficients in Cu-rich fcc Cu-Ni-Sn alloys at 1073 K were determined via the Whittle and ...
Liu Y.   +9 more
doaj   +1 more source

On the maximum values of the additive representation functions [PDF]

open access: yes, 2015
Let $A$ and $B$ be sets of nonnegative integers. For a positive integer $n$ let $R_{A}(n)$ denote the number of representations of $n$ as the sum of two terms from $A$. Let $\displaystyle s_{A}(x) = \max_{n \le x}R_{A}(n)$ and $\displaystyle d_{A,B}(x) =
Kiss, Sándor Z., Sándor, Csaba
core   +2 more sources

ON ADDITIVE REPRESENTATION FUNCTIONS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2017
For any finite abelian group$G$with$|G|=m$,$A\subseteq G$and$g\in G$, let$R_{A}(g)$be the number of solutions of the equation$g=a+b$,$a,b\in A$. Recently, Sándor and Yang [‘A lower bound of Ruzsa’s number related to the Erdős–Turán conjecture’, Preprint, 2016,arXiv:1612.08722v1] proved that, if$m\geq 36$and$R_{A}(n)\geq 1$for all$n\in \mathbb{Z}_{m ...
YA-LI LI, YONG-GAO CHEN
openaire   +1 more source

Characterizations of L-additive functions via generalized arithmetic convolutions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper investigates the properties of L-additive functions within the algebraic frameworks of two generalized arithmetic convolutions: the K-convolution and Narkiewicz's A-convolution.
Champak Talukdar   +2 more
doaj   +1 more source

Bioinspired Additive Manufacturing of Hierarchical Materials: From Biostructures to Functions

open access: yesResearch, 2023
Throughout billions of years, biological systems have evolved sophisticated, multiscale hierarchical structures to adapt to changing environments. Biomaterials are synthesized under mild conditions through a bottom-up self-assembly process, utilizing ...
Jingjiang Wei   +6 more
doaj   +1 more source

Additively decomposed quasiconvex functions [PDF]

open access: yesMathematical Programming, 1982
Letf be a real-valued function defined on the product ofm finite-dimensional open convex setsX1, ź,Xm. Assume thatf is quasiconvex and is the sum of nonconstant functionsf1, ź,fm defined on the respective factor sets. Then everyfi is continuous; with at most one exception every functionfi is convex; if the exception arises, all the other functions ...
Gerard Debreu, Tjalling C. Koopmans
openaire   +2 more sources

Fast matrix computations for functional additive models [PDF]

open access: yes, 2014
It is common in functional data analysis to look at a set of related functions: a set of learning curves, a set of brain signals, a set of spatial maps, etc.
Barthelme, Simon
core   +2 more sources

Finitely additive functions in measure theory and applications [PDF]

open access: yesOpuscula Mathematica
In this paper, we consider, and make precise, a certain extension of the Radon-Nikodym derivative operator, to functions which are additive, but not necessarily sigma-additive, on a subset of a given sigma-algebra.
Daniel Alpay, Palle Jorgensen
doaj   +1 more source

Sub-Additive Aggregation Functions and Their Applications in Construction of Coherent Upper Previsions

open access: yesMathematics, 2020
In this paper, we explore the use of aggregation functions in the construction of coherent upper previsions. Sub-additivity is one of the defining properties of a coherent upper prevision defined on a linear space of random variables and thus we ...
Serena Doria, Radko Mesiar, Adam Šeliga
doaj   +1 more source

Additive Engineering for Stable and Efficient Dion–Jacobson Phase Perovskite Solar Cells

open access: yesNano-Micro Letters, 2023
Highlights Soluble compounds are added to the Dion–Jacobson (DJ) perovskite precursor solutions. Current studies and development trends of additive compounds in DJ-phase perovskite solar cells are reviewed.
Min Liu, Thierry Pauporté
doaj   +1 more source

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