A unified treatment of the theories of matroids with coefficients and of -matroids with coefficients.
Absolutely flat idempotents.
Absolutely linear relations.
Absolutely linear relations (Short Communication).
Additive decomposition of matrices under rank conditions and zero pattern constraints
This paper deals with additive decompositions of a given matrix , where the ranks of the summands are prescribed and meet certain zero pattern requirements. The latter are formulated in terms of directed bipartite graphs.
Additive rank-one nonincreasing maps on Hermitian matrices over the field .
Adjacency preserving mappings of rectangular matrices.
Admissible functions and asymptotics for labelled structures by number of components.
Algebraic and topological properties of some sets in ℓ₁
For a sequence x ∈ ℓ₁∖c₀₀, one can consider the set E(x) of all subsums of the series . Guthrie and Nymann proved that E(x) is one of the following types of sets: () a finite union of closed intervals; () homeomorphic to the Cantor set; homeomorphic to the set T of subsums of where b(2n-1) = 3/4ⁿ and b(2n) = 2/4ⁿ. Denote by ℐ, and the sets of all sequences x ∈ ℓ₁∖c₀₀ such that E(x) has the property (ℐ), () and ( ), respectively. We show that ℐ and are strongly -algebrable and is -lineable. We...
Almost disjoint families: An application to linear algebra.
Almost-orthonormal vector systems.
An extension of the perturbation analysis for the Drazin inverse.
An improvement of Kaplansky's lemma on locally algebraic operators
Analytical representation of ellipses in the Aitchison geometry and its application
Compositional data, multivariate observations that hold only relative information, need a special treatment while performing statistical analysis, with respect to the simplex as their sample space ([Aitchison, J.: The Statistical Analysis of Compositional Data. Chapman and Hall, London, 1986.], [Aitchison, J., Greenacre, M.: Biplots of compositional data. Applied Statistics 51 (2002), 375–392.], [Buccianti, A., Mateu-Figueras, G., Pawlowsky-Glahn, V. (eds): Compositional data analysis in the geosciences:...
Application de la généralisation du principe de correspondance à la théorie de l'élimination
Applications Lineaires Affines Multivoques