Results 11 to 20 of about 637 (51)

A note on the minimum skew rank of a graph [PDF]

open access: yes, 2012
The minimum skew rank $mr^{-}(\mathbb{F},G)$ of a graph $G$ over a field $\mathbb{F}$ is the smallest possible rank among all skew symmetric matrices over $\mathbb{F}$, whose ($i$,$j$)-entry (for $i\neq j$) is nonzero whenever $ij$ is an edge in $G$ and ...
Bo Zhoub, R Esearch Article, Yanna Wanga
core   +1 more source

Sesquilinear version of numerical range and numerical radius

open access: yesActa Universitatis Sapientiae: Mathematica, 2017
In this paper by using the notion of sesquilinear form we introduce a new class of numerical range and numerical radius in normed space đť’±, also its various characterizations are given. We apply our results to get some inequalities.
Moradi Hamid Reza   +3 more
doaj   +1 more source

A hierarchy in the family of real surjective functions

open access: yesOpen Mathematics, 2017
This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties.
Fenoy-Muñoz Mar   +3 more
doaj   +1 more source

Vector spaces as unions of proper subspaces [PDF]

open access: yes, 2009
In this note, we find a sharp bound for the minimal number (or in general, indexing set) of subspaces of a fixed (finite) codimension needed to cover any vector space V over any field.
Apoorva Khare   +6 more
core   +2 more sources

Searching for degenerate Higgs bosons - A profile likelihood ratio method to test for mass-degenerate states in the presence of incomplete data and uncertainties [PDF]

open access: yes, 2014
Using the likelihood ratio test statistic, we present a method which can be employed to test the hypothesis of a single Higgs boson using the matrix of measured signal strengths.
David, AndrĂ©   +2 more
core   +2 more sources

Topological entropy for locally linearly compact vector spaces and field extensions

open access: yesTopological Algebra and its Applications, 2020
Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or ...
Castellano Ilaria
doaj   +1 more source

Non-Lipschitz differentiable functions on slit domains [PDF]

open access: yes, 2017
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside the family of non-Lipschitz differentiable real functions with bounded gradient defined on special non-convex plane ...
Bernal González, Luis   +3 more
core   +1 more source

Tripotent elements in quaternion rings over ℤp

open access: yesActa Universitatis Sapientiae: Mathematica, 2021
In this paper, we discuss tripotent1 elements in the finite ring ℍ/ℤp. We provide examples and establish conditions for tripotency. We follow similar methods used in [3] for idempotent elements in ℍ/ℤp.
Aristidou Michael, Hailemariam Kidus
doaj   +1 more source

Closed-form formula for a classical system of matrix equations

open access: yesArab Journal of Basic and Applied Sciences, 2022
Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper.
Abdur Rehman   +4 more
doaj   +1 more source

Rank Function Equations and their solution sets [PDF]

open access: yes, 2013
We examine so-called rank function equations and their solutions consisting of non-nilpotent matrices. Secondly, we present some geometrical properties of the set of solutions to certain rank function equations in the nilpotent case.Comment: 8 pages, all
Pokora, Piotr
core   +2 more sources

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