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Displaying 61 – 80 of 149

A representation of the coalgebra of derivations for smooth spaces

Fischer, Gerald (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

Let $K$ be a field. The generalized Leibniz rule for higher derivations suggests the definition of a coalgebra $𝒟_{K}^{k}$ for any positive integer $k$ . This is spanned over $K$ by $d_{0}, ..., d_{k}$ , and has comultiplication $Δ$ and counit $ε$ defined by $Δ (d_{i}) = \sum_{j = 0}^{i} d_{j} \otimes d_{i - j}$ and $ε (d_{i}) = δ_{0, i}$ (Kronecker’s delta) for any $i$ . This note presents a representation of the coalgebra $𝒟_{K}^{k}$ by using smooth spaces and a procedure of microlocalization. The author gives an interpretation of this result following the principles of the quantum theory of geometric spaces.

A short philosophical note on the origin of smoothed aggregations

Fraňková, Pavla, Hanuš, Milan, Kopincová, Hana, Kužel, Roman, Vaněk, Petr, Vastl, Zbyněk (2013)

Applications of Mathematics 2013

We derive the smoothed aggregation two-level method from the variational objective to minimize the final error after finishing the entire iteration. This contrasts to a standard variational two-level method, where the coarse-grid correction vector is chosen to minimize the error after coarse-grid correction procedure, which represents merely an intermediate stage of computing. Thus, we enforce the global minimization of the error. The method with smoothed prolongator is thus interpreted as a qualitatively...

$A$ -stability and numerical solution of abstract differential equations

Taufer, J., Vitásek, E. (1979)

Equadiff IV

A strengthening of the Poincaré recurrence theorem on MV-algebras

Riečan, Beloslav (2012)

Applications of Mathematics 2012

The strong version of the Poincaré recurrence theorem states that for any probability space $(Ω, 𝒮, P)$ , any $P$ -measure preserving transformation $T : Ω \to Ω$ and any $A \in 𝒮$ almost every point of $A$ returns to $A$ infinitely many times. In [8] (see also [4]) the theorem has been proved for MV-algebras of some type. The present paper contains a remarkable strengthening of the result stated in [8].

A sufficient condition for non-oscillatory behavior of some input/output models

Marek, Ivo (2012)

Applications of Mathematics 2012

A simple condition sufficient for non-oscillatory behavior of input/output systems is formulated and discussed.

A survey of boundary value problems for bundles over complex spaces

Harris, Adam (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

Let $X$ be a reduced $n$ -dimensional complex space, for which the set of singularities consists of finitely many points. If $X^{'} \subseteq X$ denotes the set of smooth points, the author considers a holomorphic vector bundle $E \to X^{'} ∖ A$ , equipped with a Hermitian metric $h$ , where $A$ represents a closed analytic subset of complex codimension at least two. The results, surveyed in this paper, provide criteria for holomorphic extension of $E$ across $A$ , or across the singular points of $X$ if $A = ⌀$ . The approach taken here is via the metric...

A survey of dimension theory

Nagata, Jun-iti (1967)

General Topology and its Relations to Modern Analysis and Algebra

A survey of minimal topological spaces

Berri, M. P., Porter, J. R., Stephenson, R. M., Jr. (1971)

General Topology and Its Relations to Modern Analysis and Algebra

A survey of recent results on the spectral radius in Banach algebras

Zemánek, Jaroslav (1977)

General topology and its relations to modern analysis and algebra IV

A survey of the shape theory of compacta

Mardešić, S. (1972)

General Topology and its Relations to Modern Analysis and Algebra

A survey of the theory of generalized metric spaces

Nagata, J. (1972)

General Topology and its Relations to Modern Analysis and Algebra

A survey on tent spaces and their application to weighted inequalities

Johnson, Raymond (1986)

Nonlinear Analysis, Function Spaces and Applications

A technique for constructing examples

van Douwen, Eric K. (1977)

General topology and its relations to modern analysis and algebra IV

A tribute to Bernard Bolzano

Kurzweil, Jaroslav (1982)

Equadiff 5

A unified construction of the Alexander- and the Jones-invariant

Lüdde, Mirko (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

A vector lattice variant of the ergodic theorem

Maličký, Peter (1987)

Proceedings of the 14th Winter School on Abstract Analysis

Abgeschwächte Trennungsaxiome

Császár, K. (1967)

General Topology and its Relations to Modern Analysis and Algebra

About duality and Killing tensors

Baleanu, Dumitru (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Summary: In this paper the isometries of the dual space were investigated. The dual structural equations of a Killing tensor of order two were found. The general results are applied to the case of the flat space.

About the representation of solutions of linear elliptic equations of arbitrary order

Wildenhain, Günther (1982)

Equadiff 5

About the Symposium, Foreword, Contents

Stanisław Janeczko, Vladimir Zakalyukin, Vladimir Arnol'd (1999)

Banach Center Publications

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