Results 1 to 10 of about 2,897,129 (311)
Additive Maps on Units of Rings
Canadian Mathematical Bulletin, 2018 AbstractLet R be a ring. A map f: R → R is additive if f(a + b) = f(a) + f(b) for all elements a and b of R. Here, a map f: R → R is called unit-additive if f(u + v) = f(u) + f(v) for all units u and v of R. Motivated by a recent result of Xu, Pei and Yi showing that, for any field F, every unit-additive map of (F) is additive for all n ≥ z, this paper
Kosan, Tamer +2 more
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Metals, 2019 The powder bed additive manufacturing (AM) process is comprised of two repetitive steps—spreading of powder and selective fusing or binding the spread layer.
Prathamesh S. Desai, C. Fred Higgs
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On a $$\rho $$-Orthogonally Additive Mappings [PDF]
Results in Mathematics, 2020 AbstractWe show that a real normed linear space endowed with the$$\rho $$ρ-orthogonality relation, in general need not be an orthogonality space in the sense of Rätz. However, we prove that$$\rho $$ρ-orthogonally additive mappings defined on some classical Banach spaces have to be additive.
Chmieliński, Jacek +2 more
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Confins, 2021 Technological advances have turned printed maps into maps that are produced and disseminated in digital environment. Digital maps allow, among other things, changes in symbology, data values and scale of visualization.
Monyra Guttervill Cubas +1 more
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Mapping Spatially Varying Additive Biases in Cosmic Shear Data
The Open Journal of Astrophysics, 2021 In this paper we address the challenge of extracting maps of spatially varying unknown additive biases from cosmic shear data. This is done by exploiting the isotropy of the cosmic shear field, and the anisotropy of a typical additive bias field, using ...
Thomas Kitching +2 more
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, 2021 Nitinol (NiTi) shape memory alloys fabricated by Laser Powder Bed Fusion ( L -PBF) Additive Manufacturing (AM) have attracted much attention in recent years, as compared with conventional manufacturing processes it allows to produce Nitinol parts with ...
Jia Zhu +5 more
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Additive maps preserving determinant on module of symmetric matrices over Zm
Journal of Hebei University of Science and Technology, 2018 In order to characterize the additive maps preserving of modulus of symmetric matrices over residue class rings, these maps are firstly proved to be linear in fact, then they are classified and discussed by means of contract transformation, number theory
Yuqiu SHENG +4 more
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Publications of the Research Institute for Mathematical Sciences, 1988 The set of observables of a Quantum Mechanical System need only be closed under a "quadratic" product. It is shown that an additive structure of this set (whose existence is less natural) is uniquely determined by this multiplicative structure.
Friedman, Yaakov, Hakeda, Josuke
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When are multiplicative mappings additive? [PDF]
Proceedings of the American Mathematical Society, 1969 Summary: A theorem of \textit{C. E. Rickart} [Bull. Am. Math. Soc. 54, 758--764 (1948; Zbl 0032.24904), Theorem II] is generalized as follows: Theorem. Let \(R\) be a ring containing a family \(\{e_\alpha\mid \alpha\in A\}\) of idempotents which satisfies: (1) \(xR=0\) implies \(x=0\); (2) if \(e_\alpha Rx=0\) for each \(\alpha\in A\), then \(x=0\); (3)
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Demonstratio Mathematica, 2020 In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]
Thanyacharoen Anurak +1 more
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