Results 21 to 30 of about 79,677 (309)

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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Generalized structured additive regression based on Bayesian P-splines [PDF]

, 2003
Generalized additive models (GAM) for modelling nonlinear effects of continuous covariates are now well established tools for the applied statistician. In this paper we develop Bayesian GAM's and extensions to generalized structured additive regression ...
Lang, S., Brezger, Andreas, Lang, Stefan
core   +1 more source

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, Sahinkaya, Serap, Zhou, Yiqiang   +2 more
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THE NEARLY ADDITIVE MAPS [PDF]

Bulletin of the Korean Mathematical Society, 2009
This note is a verification on the relations between almost lin- ear and nearly additive maps; and the continuity of almost multiplicative nearly additive maps. Also we consider the stability of nearly additive and almost linear maps.
Esmaeeil Ansari-Piri, Nasrin Eghbali
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Conditional QTL Mapping of Sedimentation Volume on Seven Quality Traits in Common Wheat

Journal of Integrative Agriculture, 2013
To evaluate the possible genetic interrelationships between flour components and the sedimentation volume (SD), a doubled haploid (DH) population comprising 168 lines were used to identify the conditional quantitative trait loci (QTLs) for SD in three ...
Zhi-ying DENG, Liang ZHAO, Bin LIU, Kun-pu ZHANG, Jian-sheng CHEN, Hou-lan QU, Cai-ling SUN, Yong-xiang ZHANG, Ji-chun TIAN   +8 more
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On the Stability of Cauchy Additive Mappings

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008
The following inequality and the two other of similar type is considered: \[ \| f(x)+f(y)+f(z)\| \leq \left\| 2f\left(\frac{x+y+z}{2}\right)\right\| ,\qquad x,y,z\in X\tag{1} \] where \(f\colon X\to Y\), \(X,Y\) are Banach spaces. It is easy to see that a solution of the above inequality has to be an additive mapping.
Jun, Kil-Woung, Roh, Jaiok
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Adaptive Gaussian Markov Random Fields with Applications in Human Brain Mapping [PDF]

, 2005
Functional magnetic resonance imaging (fMRI) has become the standard technology in human brain mapping. Analyses of the massive spatio-temporal fMRI data sets often focus on parametric or nonparametric modeling of the temporal component, while spatial ...
Brezger, Andreas, Fahrmeir, Ludwig, Hennerfeind, Andrea   +2 more
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A class of nonlinear centralizers on nest algebras [PDF]

Journal of Hebei University of Science and Technology
In order to extend the basic theory of operator algebras, the conditions for a class of nonlinear mappings to become additive centralizers on nest algebras were studied.
Yude JI, Bing WU, Cui YANG
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The Cauchy–Optimal Stability Results for Cauchy–Jensen Additive Mappings in the Fuzzy Banach Space and the Unital Fuzzy Banach Space

Axioms, 2023
In this article, we apply a new class of fuzzy control functions to approximate a Cauchy additive mapping in fuzzy Banach space (FBS). Further, considering the unital FBS (UFBS), we will investigate the isomorphisms defined in this space.
Zahra Eidinejad, Reza Saadati, Hari M. Srivastava   +2 more
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Additive Maps of Rank k Bivectors

The Electronic Journal of Linear Algebra, 2021
Let ${\cal U}$ and ${\cal V}$ be linear spaces over fields $\mathbb{F}$ and $\mathbb{K}$, respectively, such that Dim$\,{\cal U}=n\geqslant 2$ and $\left|\mathbb{F}\right|\geqslant 3$. Let $\bigwedge^2{\cal U}$ be the second exterior power of ${\cal U}$. Fixing an even integer $k$ satisfying $\frac{n-1}{2}\leqslant k\leqslant n$, it is shown that a map
Chooi, Wai Leong, Kwa, Kiam Heong
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