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$G$ - $n$ -quasigroups.

Petrescu, Adrian (2008)

Acta Universitatis Apulensis. Mathematics - Informatics

Gauss-Manin connections of Schläfli type for hypersphere arrangements

Kazuhiko Aomoto (2003)

Annales de l’institut Fourier

The cohomological structure of hypersphere arragnements is given. The Gauss-Manin connections for related hypergeometrtic integrals are given in terms of invariant forms. They are used to get the explicit differential formula for the volume of a simplex whose faces are hyperspheres.

General construction of non-dense disjoint iteration groups on the circle

Krzysztof Ciepliński (2005)

Czechoslovak Mathematical Journal

Let $ℱ = {F^{v} 𝕊^{1} \to 𝕊^{1}, v \in V}$ be a disjoint iteration group on the unit circle $𝕊^{1}$ , that is a family of homeomorphisms such that $F^{v_{1}} \circ F^{v_{2}} = F^{v_{1} + v_{2}}$ for $v_{1}$ , $v_{2} \in V$ and each $F^{v}$ either is the identity mapping or has no fixed point ( $(V, +)$ is a $2$ -divisible nontrivial Abelian group). Denote by $L_{ℱ}$ the set of all cluster points of ${F^{v} (z)$ , $v \in V}$ for $z \in 𝕊^{1}$ . In this paper we give a general construction of disjoint iteration groups for which $\emptyset \neq L_{ℱ} \neq 𝕊^{1}$ .

Currently displaying 1 – 20 of 45

Page 1 Next

Displaying 1 – 20 of 45

$G$ - $n$ -quasigroups.

Gauss-Manin connections of Schläfli type for hypersphere arrangements

General construction of non-dense disjoint iteration groups on the circle

General continuous solution of a linear homogeneous functional equation

General inequalities for quasideviation means.

General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions.

General theory of the translation equation.

Generalization of sum representation functional equations. I.

Generalization of sum representation functional equations. II: Generalized directed divergence

Generalized Associativity on Grupoids

Generalized Cauchy functional equation and characterizations of inner product spaces.

Generalized Cauchy functional equation and characterizations of inner product spaces. (Summary).

Generalized characteristic equation of branching information measures.

Generalized distributivity equation on GD-groupoids

Generalized distributivity for real, continuous functions. I: Structure theorems and surjective solutions.

Generalized distributivity for real, continuous functions. II: Local solutions in the continuous case.

Generalized functional equation of two variables in information theory

Generalized fundamental equation of information of multiplicative type.

Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces.

Generalized Hyers-Ulam stability of generalized $(N, K)$ -derivations.

Currently displaying 1 – 20 of 45