Search results for "MathematicsofComputing_GENERAL"

showing 4 items of 84 documents

Mappings of finite distortion between metric measure spaces

2015

We establish the basic analytic properties of mappings of finite distortion between proper Ahlfors regular metric measure spaces that support a ( 1 , 1 ) (1,1) -Poincaré inequality. As applications, we prove that under certain integrability assumption for the distortion function, the branch set of a mapping of finite distortion between generalized n n -manifolds of type A A has zero Hausdorff n n -measure.

metric measure spacesPure mathematicsInjective metric spaceta111Mathematical analysisMathematicsofComputing_GENERALProduct metricEquivalence of metricsConvex metric spaceIntrinsic metricDistortion (mathematics)mappings of finite distortionMetric (mathematics)Metric mapGeometry and TopologyMathematicsConformal Geometry and Dynamics of the American Mathematical Society
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Editorial: Searching for the Boundaries of Microbial Speciation in a Rapidly Evolving World

2021

Editorial on the Research Topic.

microbial evolutionInformationSystems_GENERALEditorialspeciationmicrobial diversityecotypesMathematicsofComputing_GENERALpopulation geneticsMicrobiologyGeneralLiterature_MISCELLANEOUS
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Permutations of zero-sumsets in a finite vector space

2020

Abstract In this paper, we consider a finite-dimensional vector space 𝒫 {{\mathcal{P}}} over the Galois field GF ⁡ ( p ) {\operatorname{GF}(p)} , with p being an odd prime, and the family ℬ k x {{\mathcal{B}}_{k}^{x}} of all k-sets of elements of 𝒫 {\mathcal{P}} summing up to a given element x. The main result of the paper is the characterization, for x = 0 {x=0} , of the permutations of 𝒫 {\mathcal{P}} inducing permutations of ℬ k 0 {{\mathcal{B}}_{k}^{0}} as the invertible linear mappings of the vector space 𝒫 {\mathcal{P}} if p does not divide k, and as the invertible affinities of the affine space 𝒫 {\mathcal{P}} if p divides k. The same question is answered also in the case where …

permutations of zero-sumsApplied MathematicsGeneral Mathematics010102 general mathematicsMathematicsofComputing_GENERALZero (complex analysis)Subset sum01 natural sciences010101 applied mathematicsCombinatoricssubset sum problemSettore MAT/05 - Analisi MatematicaComputingMethodologies_DOCUMENTANDTEXTPROCESSINGSubset sum problemSettore MAT/03 - Geometria0101 mathematicsGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)Vector spaceMathematics
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Characteristics of participation - A mathematician and a mathematics educator collaborating on a developmental research project

2018

International audience; In this paper, a developmental research project involving offering mathematical modelling (MM) activities to university biology students is presented, and a particular aspect is studied, namely the project as a collaboration between mathematicians and mathematics educators. The aim of the paper is to investigate what characterizes their participation in the project, and how the characteristics of the project and its development might influence this participation. Interview data as well as observation data from the MM sessions are analysed, and findings show that the mathematics educator served as a broker influencing the practice of the mathematician. It is hoped tha…

teaching and learning of mathematics in other fields[SHS.EDU]Humanities and Social Sciences/Education[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]MathematicsofComputing_GENERALteachers' and students practices at university levelcrossdisciplinary collaborationmathematical modellingcommunities of practice
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