Results 91 to 100 of about 19,730 (191)

On Constructivity of Galois Connections [PDF]

open access: yes, 2017
Abstract interpretation-based static analyses rely on abstract domains of program properties, such as intervals or congruences for integer variables. Galois connections (GCs) between posets provide the most widespread and useful formal tool for mathematically specifying abstract domains.
openaire   +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

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  

Galois connections and modal algebras

open access: yesCognitio: Revista de Filosofia
We investigate the properties of a modal algebra, more specifically, a non-distributive lattice with operators via Galois connections. Pairs of Galois are very common in mathematical environments, and, in this article, they appear as unary operators in lattices even without the distributivity. In a previous paper, Castiglioni and Ertola-Biraben studied
Hércules de Araújo Feitosa   +2 more
openaire   +1 more source

Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Allen PB, Khare CB, Thorne JA.
europepmc   +1 more source

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