Results 231 to 240 of about 4,400 (261)

On orthogonally additive mappings. II

Publicationes Mathematicae Debrecen, 1989
[For part I see Aequationes Math. 28, 35-49 (1985; Zbl 0569.39006).] Let \({\mathfrak K}\) be an ordered field, \({\mathfrak X}\) a \({\mathfrak K}\)-vector space with \(\dim_{{\mathfrak K}}{\mathfrak X}\geq 2\), and \(\perp\) a binary relation on \({\mathfrak X}\) with four appropriate properties.
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Additive Nearest Neighbor Feature Maps

2015 IEEE International Conference on Computer Vision (ICCV), 2015
In this paper, we present a concise framework to approximately construct feature maps for nonlinear additive kernels such as the Intersection, Hellinger's, and χ2 kernels. The core idea is to construct for each individual feature a set of anchor points and assign to every query the feature map of its nearest neighbor or the weighted combination ...
Zhenzhen Wang, Xiao-Tong Yuan, Qingshan Liu 0001, Shuicheng Yan   +3 more
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φ-Orthogonally additive mappings. I

Acta Mathematica Hungarica, 1991
From author's introduction: This is the second part of a series of papers describing the properties of \(\phi\)-orthogonally additive mappings for a sesquilinear form \(\phi\). While in the first part the symmetric orthogonality has been studied, here we examine the cases of non- symmetric and totally isotropic orthogonalities, showing essentially the ...
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Additivity of Quadratic Maps on JB Algebras

Lobachevskii Journal of Mathematics, 2019
In line with several results ranging from operator algebras to ring theory, this paper discusses automatic additivity of maps satisfying particular multiplicative properties, thereby outlining an entangling between the multiplicative and additive structures. The structures under scrutiny are JB-algebras and quadratic maps between them: for JB-algebras \
Hamhalter J., Turilova E.
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When are ∨-additive mappings multiplicative?

Journal of Algebra and Its Applications
In the spirit of some earlier studies of the authors, we discuss the alienation problem for ∨-additive and multiplicative mappings. This study enables us to answer two questions that were left open in [B. Al Subaiei and N. Jarboui, On the monoid of unital endomorphisms of a Boolean ring, Axioms 10(4) (2021) 305].
Noômen Jarboui, Bana Al Subaiei
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SiZer Map for inference with additive models

Statistics and Computing, 2008
Sizer Map is proposed as a graphical tool for assistance in nonparametric additive regression testing problems. Four problems have been analyzed by using SiZer Map: testing for additivity, testing the components significance, testing parametric models for the components and testing for interactions.
Wenceslao González-Manteiga, María Dolores Martínez Miranda, Rocío Raya-Miranda   +2 more
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On additive maps of prime rings. II.

Publicationes Mathematicae Debrecen, 1999
[For part I see the authors, Bull. Aust. Math. Soc. 51, No. 3, 377-381 (1995; Zbl 0833.16016).] The authors determine the form of maps \(f_1,\dots,f_n\) of \(R\) (a prime ring) satisfying \[ f_1(x)x^{n-1}+xf_2(x)x^{n-2}+\cdots+x^{n-1}f_n(x)=0.\tag{1} \] If \(R\) is a prime ring then \(Z\), \(C\), \(RC\) are the center, the extended centroid and the ...
Brešar, Matej, Hvala, Bojan
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Additive Composition of Supervised Self-Organizing Maps

Neural Processing Letters, 2002
The learning of complex relationships can be decomposed into several neural networks. The modular organization is determined by prior knowledge of the problem that permits to split the processing into tasks of small dimensionality. The sub-tasks can be implemented with neural networks, although the learning examples cannot be used anymore to supervise ...
Jean-Luc Buessler, Jean-Philippe Urban, Julien Gresser   +2 more
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Additivity of Elementary Maps on Rings

Communications in Algebra, 2004
Abstract Let ℛ and ℛ′ be rings. Under some assumptions on ℛ, we study the additivity of maps M: ℛ → ℛ′ and M*: ℛ′ → ℛ that are surjective and satisfy M(x M*(y)z) = M(x)yM(z) and M*(yM(x)u) = M*(y)x M*(u) for x, z ∈ ℛ and y, u ∈ ℛ′. In particular, if ℛ is a prime ring containing a non-trivial idempotent, or a standard operator algebra, or a nest algebra
Pengtong Li, Fangyan Lu
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On Approximately Additive Mappings

1980
The stability question for additive mappings under various conditions on their domains and ranges is studied. The main aspects are existence, uniqueness, and continuity of an approximating additive mapping (Sections 4 and 5). Suitable examples demonstrate the limits of the scope of our theorems (Section 6).
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