Search results for "discrete [space-time]"

showing 10 items of 2035 documents

A remark on extrapolation of rearrangement operators on dyadic Hs, 0< s ≤1

2005

Discrete mathematicsAlgebraGeneral MathematicsExtrapolationMathematicsStudia Mathematica
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Links modulo knots and the isotopic realization problem

2001

Discrete mathematicsAlgebraGeneral MathematicsModuloRealization (systems)MathematicsRussian Mathematical Surveys
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Fixed Point Theorems with Applications to the Solvability of Operator Equations and Inclusions on Function Spaces

2015

1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 2Department of Mathematical Analysis, University of Valencia, Spain 3Centre Universitaire Polydisciplinaire, Kelaa des Sraghna, Morocco 4Universite Cadi Ayyad, Laboratoire de Mathematiques et de Dynamique de Populations, Marrakech, Morocco 5Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy

Discrete mathematicsAlgebraOperator (computer programming)Article SubjectFunction spacelcsh:MathematicsFixed-point theoremlcsh:QA1-939AnalysisMathematicsJournal of Function Spaces
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On the Existence of 1-Bounded Bi-ideals with the WELLDOC Property

2015

A combinatorial condition called well distributedoccurrences, or WELLDOC for short, has been introducedrecently. The proofs that WELLDOC property holds for thefamily of Sturmian words, and more generally, for Arnoux-Rauzy words are given in two papers by Balkova et al. The WELLDOC property for bounded bi-ideals is analysed inthis paper. The existence of a 1-bounded bi-ideal over thefinite alphabet that satisfies the WELLDOC property has beenproved by the authors.

Discrete mathematicsAlgebraProperty (philosophy)Computer scienceBounded functionAlphabetComputer-aided software engineeringMathematical proofElectronic mail2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)
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Selmer's Multiplicative Algorithm

2011

Abstract.The behavior of the multiplicative acceleration of Selmer's algorithm is widely unknown and no general result on convergence has been detected yet. Solely for its 2-dimensional, periodic expansions, there exist some results on convergence and approximation due to Fritz Schweiger. In this paper we show that periodic expansions of any dimension do in fact converge and that the coordinates of the limit points are rational functions of the largest eigenvalue of the periodicity matrix.

Discrete mathematicsAlgebraSelmerMultiplicative functionPeriodic expansionsMathematicsmultidimensional continued fractions
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Basic Sequences in the Dual of a Fréchet Space

2001

Discrete mathematicsAlgebrac spaceBs spaceFréchet spaceGeneral MathematicsReflexive spaceOperator spaceSequence spaceComplete metric spaceMathematicsDual (category theory)Mathematische Nachrichten
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New lower bounds for the minimum distance of generalized algebraic geometry codes

2013

Abstract In this paper, we give a new lower bound for generalized algebraic geometry codes with which we are able to construct some new linear codes having better parameters compared with the ones known in the literature. Moreover, we give a relationship between a family of generalized algebraic geometry codes and algebraic geometry codes. Finally, we propose a decoding algorithm for such a family.

Discrete mathematicsAlgebraic cycleBlock codeAlgebraic function field generalized algebraic geometry codes minimum distanceAlgebra and Number TheoryDerived algebraic geometryFunction field of an algebraic varietyAlgebraic surfaceReal algebraic geometryDimension of an algebraic varietySettore MAT/03 - GeometriaLinear codeMathematicsJournal of Pure and Applied Algebra
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On the classification of algebraic function fields of class number three

2012

AbstractLet F be an algebraic function field of one variable having a finite field Fq with q>2 elements as its field of constants. We determine all such fields for which the class number is three. More precisely, we show that, up to Fq-isomorphism, there are only 8 of such function fields. For q=2 the problem has been solved under the additional hypothesis that the function field is quadratic.

Discrete mathematicsAlgebraic function fieldFunction field of an algebraic varietyField (mathematics)Algebraic number fieldAlgebraic function fieldTheoretical Computer ScienceCombinatoricsDiscriminant of an algebraic number fieldField extensionDiscrete Mathematics and CombinatoricsQuadratic fieldAlgebraic functionSettore MAT/03 - GeometriaMathematicsClass numberDiscrete Mathematics
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Regularly Algebraizable Logics

2001

A sentential logic (S, C) is regularly algebraizable (alias 1-algebraizable) if it possesses a non-empty system E(p, q) of equivalence sentences such that E(p, q) ⊆ C(p, q).

Discrete mathematicsAliasEquivalence (formal languages)Propositional calculusMathematics
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A smallest irregular oriented graph containing a given diregular one

2004

AbstractA digraph is called irregular if its vertices have mutually distinct ordered pairs of semi-degrees. Let D be any diregular oriented graph (without loops or 2-dicycles). A smallest irregular oriented graph F, F=F(D), is constructed such that F includes D as an induced subdigraph, the smallest digraph being one with smallest possible order and with smallest possible size. If the digraph D is arcless then V(D) is an independent set of F(D) comprising almost all vertices of F(D) as |V(D)|→∞. The number of irregular oriented graphs is proved to be superexponential in their order. We could not show that almost all oriented graphs are/are not irregular.

Discrete mathematicsAlmost all verticesIrregularizationDigraphDirected graphSuperexponential cardinalityGraphTheoretical Computer ScienceCombinatoricsIndependent setOrdered pairDiscrete Mathematics and CombinatoricsDiregular digraphOriented graphMathematicsDiscrete Mathematics
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