Results 71 to 80 of about 343 (169)

Formal Context Transforms and Their Affordances for Exploratory Data Analysis

open access: yesMathematics
Consider a formal context (G, M, I) as the basic mechanism to capture information about a set G of objects, a set M of attributes and the relation I ∈ G × M between them. Traditional use of Formal Concept Analysis has some shortcomings in its information-
Francisco J. Valverde-Albacete   +4 more
doaj   +1 more source

Nonvanishing minors of eigenvector matrices and consequences

open access: yesSpecial Matrices
For a matrix M∈Kn×n{\bf{M}}\in {{\mathbb{K}}}^{n\times n}, we establish a condition on the Galois group of the characteristic polynomial φM{\varphi }_{{\bf{M}}} that induces nonvanishing of the minors of the eigenvector matrix of M{\bf{M}}.
Emmrich Tarek
doaj   +1 more source

Galois Connections and Applications [PDF]

open access: yes, 2004
Preface M. Erne Adjunctions and Galois Connections: Origins, History and Development G. Janelidze Categorical Galois Theory: Revision and Some Recent Developments M. Erne The Polarity between Approximation and Distribution K. Denecke, S.L. Wismath Galois Connections and Complete Sublattices R.
openaire   +1 more source

Galois cohomology of SO(N)-connections

open access: yes, 2023
Abstract Two different types of Fuchsian function of the second kind are possible for SU(2)-bundle on U(1)-flat-connections of Chern-Simons field. Both of two different types of Fuchsian are parametrized by the same moduli as the LF-invariant measure situated on arbitrary Galois cohomology.
openaire   +1 more source

Mereological approach to higher-order structure in complex systems: From macro to micro with Möbius

open access: yesPhysical Review Research
Relating macroscopic observables to microscopic interactions is a central challenge in the study of complex systems. While current approaches often focus on pairwise interactions, a complete understanding requires going beyond these to capture the full ...
Abel Jansma
doaj   +1 more source

Monodromy of a Class of Logarithmic Connections on an Elliptic Curve

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
The logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve.
Francois-Xavier Machu
doaj  

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