Nonvanishing minors of eigenvector matrices and consequences
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
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Galois Connections and Applications [PDF]
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.
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Mereological approach to higher-order structure in complex systems: From macro to micro with Möbius
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
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Galois Connections and Fixed Point Calculus [PDF]
Fixed point calculus is about the solution of recursive equations defined by a monotonic endofunction on a partially ordered set. This tutorial presents the basic theory of fixed point calculus together with a number of applications of direct relevance to the construction of computer programs.
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Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
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
Modeling and simulation of a Tamil language encoder for advanced encryption technologies. [PDF]
Suthaharan S.
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Derr R, Williamson RC.
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The structure of Galois connections [PDF]
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Identity, individuality and indistinguishability in physics and mathematics. [PDF]
Catren G.
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Applications of representation theory and of explicit units to Leopoldt's conjecture. [PDF]
Ferri F, Johnston H.
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