Results 21 to 30 of about 568 (51)

Limits of Sequences of Feebly-Type Continuous Functions

Annales Mathematicae Silesianae, 2020
We consider the following families of real-valued functions defined on 𝕉2: feebly continuous functions (FC), very feebly continuous functions (VFC), and two-feebly continuous functions (TFC). It is known that the inclusions FC ⊂ VFC ⊂ TFC are proper.
Balcerzak Marek, Natkaniec Tomasz, Terepeta Małgorzata   +2 more
doaj   +1 more source

The Flanders theorem over division rings

, 2015
Let $\mathbb{D}$ be a division ring and $\mathbb{F}$ be a subfield of the center of $\mathbb{D}$ over which $\mathbb{D}$ has finite dimension $d$. Let $n,p,r$ be positive integers and $\mathcal{V}$ be an affine subspace of the $\mathbb{F}$-vector space ...
Pazzis, Clément de Seguins
core   +2 more sources

A matrix approach to determine optimal predictors in a constrained linear mixed model

Open Mathematics
For a general vector of all unknown vectors in a constrained linear mixed model (CLMM), this study compared the dispersion matrices of the best linear unbiased predictors with any symmetric matrix for determining the optimality of predictors among others.
Güler Nesrin, Büyükkaya Melek Eriş
doaj   +1 more source

An algebraic model for the propagation of errors in matrix calculus

Special Matrices, 2020
We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group.
Van Tran Nam, van den Berg Imme
doaj   +1 more source

Integrable discrete nets in Grassmannians

, 2008
We consider discrete nets in Grassmannians $\mathbb{G}^d_r$ which generalize Q-nets (maps $\mathbb{Z}^N\to\mathbb{P}^d$ with planar elementary quadrilaterals) and Darboux nets ($\mathbb{P}^d$-valued maps defined on the edges of $\mathbb{Z}^N$ such that ...
A. Doliwa, A. Doliwa, A. Doliwa, A.I. Bobenko, A.I. Bobenko, Alexander Ivanovich Bobenko, L.V. Bogdanov, R. Sauer, Vsevolod Eduardovich Adler, W.K. Schief, Yuri Borisovich Suris   +10 more
core   +1 more source

Maximum nullity and zero forcing of circulant graphs

Special Matrices, 2020
The zero forcing number of a graph has been applied to communication complexity, electrical power grid monitoring, and some inverse eigenvalue problems.
Duong Linh, Kroschel Brenda K., Riddell Michael, Vander Meulen Kevin N., Van Tuyl Adam   +4 more
doaj   +1 more source

The algebraic size of the family of injective operators

Open Mathematics, 2017
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable infinite dimensional Banach
Bernal-González Luis
doaj   +1 more source

Lineability and modes of convergence [PDF]

, 2020
In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.
Calderón Moreno, María del Carmen, Gerlach Mena, Pablo José, Prado Bassas, José Antonio   +2 more
core  

On decompositions of estimators under a general linear model with partial parameter restrictions

Open Mathematics, 2017
A general linear model can be given in certain multiple partitioned forms, and there exist submodels associated with the given full model. In this situation, we can make statistical inferences from the full model and submodels, respectively.
Jiang Bo, Tian Yongge, Zhang Xuan
doaj   +1 more source

The Nullity Theorem for Principal Pivot Transform

, 2013
We generalize the nullity theorem of Gustafson [Linear Algebra Appl. (1984)] from matrix inversion to principal pivot transform. Several special cases of the obtained result are known in the literature, such as a result concerning local complementation ...
Brijder, Robert
core   +1 more source