Effective bounds of the variance of statistics on multisets of necklaces
Lietuvos Matematikos Rinkinys, 2021 The variance of a linear statistics on multisets of necklaces is explored.
Arvydas Karbonskis +1 more
doaj +1 more source
The distributions of sums of the prime indicators with respect to distinct frequencies
Lietuvos Matematikos Rinkinys, 2004 A characterization of a set of strongly additive functions fx which has the same limit law with respect to ordinary and logarithmic frequencies is obtained. Strongly additive functions which take zero or unit for each prime p are considered.
Jonas Šiaulys
doaj +3 more sources
Periodic solutions in multivariate invariance arguments [PDF]
Opuscula Mathematica, 2013 Inspired by the recent results of A. E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations.
Jacek Chudziak, Sebastian Wójcik
doaj +1 more source
A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
doaj +1 more source
New Pexiderizations of Drygas’ Functional Equation on Abelian Semigroups
Annales Mathematicae Silesianae, 2023 Let (S, +) be an abelian semigroup, let (H, +) be an abelian group which is uniquely 2-divisible, and let ϕ be an endomorphism of S. We find the solutions f, h : S → H of each of the functional equations f(x+y)+f(x+ϕ(y))=h(x)+f(y)+f∘ϕ(y), x,y∈S,f(x+y)+f ...
Aissi Youssef, Zeglami Driss
doaj +1 more source
Nanomaterials Function in Additive Manufacturing
Journal of Kufa-Physics, 2023 Nanomaterials are substances that have at least one dimension that falls within the three-dimensional nanoscale range or fundamental structural components made of substances that fall inside this range.
Khan Rajib Hossain +6 more
doaj +1 more source
On Finitely Null-additive and Finitely Weakly Null-additive Relative to the σ–ring
مجلة بغداد للعلوم, 2022 This article introduces the concept of finitely null-additive set function relative to the σ– ring and many properties of this concept have been discussed. Furthermore, to introduce and study the notion of finitely weakly null-additive set function
Samah H. Asaad +2 more
doaj +1 more source
Stability of the Popoviciu type functional equations on groups [PDF]
Opuscula Mathematica, 2011 We consider the stability problem for a class of functional equations related to the Popoviciu equation.
Małgorzata Chudziak
doaj +1 more source
Function-Based Design Principles for Additive Manufacturing
Applied Sciences, 2022 The development of additive manufacturing (AM) technologies has brought new design possibilities, and to utilise those possibilities, new sources of AM design knowledge are needed.
Filip Valjak +3 more
doaj +1 more source
Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations [PDF]
Journal of Mahani Mathematical Research, 2022 In an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37–51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is ...
Fateme Kouchakinejad, Alexandra Siposova
doaj +1 more source