Results 1 to 10 of about 336,088 (147)
Additive Function-on-Function Regression. [PDF]
We study additive function-on-function regression where the mean response at a particular time point depends on the time point itself as well as the entire covariate trajectory. We develop a computationally efficient estimation methodology based on a novel combination of spline bases with an eigenbasis to represent the trivariate kernel function.
Kim JS +4 more
europepmc +5 more sources
Effective bounds of the variance of statistics on multisets of necklaces
The variance of a linear statistics on multisets of necklaces is explored.
Arvydas Karbonskis +1 more
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Periodic solutions in multivariate invariance arguments [PDF]
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
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The distributions of sums of the prime indicators with respect to distinct frequencies
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
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A Parametric Functional Equation Originating from Number Theory
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
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New Pexiderizations of Drygas’ Functional Equation on Abelian Semigroups
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
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Nanomaterials Function in Additive Manufacturing
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
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On Finitely Null-additive and Finitely Weakly Null-additive Relative to the σ–ring
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
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Stability of the Popoviciu type functional equations on groups [PDF]
We consider the stability problem for a class of functional equations related to the Popoviciu equation.
Małgorzata Chudziak
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Function-Based Design Principles for Additive Manufacturing
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
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