Search results for "FINE"

showing 10 items of 1800 documents

Darstellung von Hyperebenen in verallgemeinerten affinen Räumen durch Moduln

1994

The starting point of this article is a generalized concept of affine space which includes all affine spaces over unitary modules. Our main result is a representation theorem for hyperplanes of affine spaces: Every hyperplane which satisfies a weak richness condition is induced by a module. 1

Affine coordinate systemDiscrete mathematicsAffine geometryPure mathematicsMathematics (miscellaneous)Affine representationComplex spaceHyperplaneApplied MathematicsAffine hullAffine groupAffine spaceMathematicsResults in Mathematics
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Affine Kettengeometrien �ber Jordanalgebren

1996

It is shown that an affine chain geometry over a Jordan algebra can be constructed in a nearly classical manner. Conversely, such chain geometries are characterized as systems of rational normal curves having a group of automorphisms with certain properties.

Affine coordinate systemDiscrete mathematicsAffine geometryQuantum affine algebraPure mathematicsAffine representationAffine geometry of curvesAffine hullAffine groupGeometry and TopologyAffine planeMathematicsGeometriae Dedicata
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The coordinatization of affine planes by rings

1996

With every unitary free module of rank 2 there is naturally associated a generalized affine plane (e.g. the lines are just the cosets of all nonzero 1-generated submodules). Here we solve the converse problem by coordinatizing a given generalized affine plane which satisfies certain versions of Desargues' postulate.

Affine geometryAffine coordinate systemCombinatoricsAffine geometry of curvesAffine representationAffine hullAffine groupGeometry and TopologyAffine transformationAffine planeMathematicsGeometriae Dedicata
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On the algebraic representation of projectively embeddable affine geometries

1995

The main result of this article is an application of [1] and [2] which yields that an at least 2-dimensional affine geometry is module-induced if and only if it is projectively embeddable into an Arguesian projective lattice geometry.

Affine geometryDiscrete mathematicsAffine geometry of curvesAlgebra representationGeometry and TopologyAffine transformationLattice (discrete subgroup)Affine planeMathematicsJournal of Geometry
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An axiomatic treatment of ratios in an affine plane

1967

Affine geometryPure mathematicsAffine geometry of curvesPlane curveGeneral MathematicsAffine groupAffine spaceAffine planeAxiomMathematicsArchiv der Mathematik
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Case study: inorganic pollutants associated with particulate matter from an area near a petrochemical plant.

2004

The area of Gela (Sicily, Italy) contains one of the largest petroleum refineries in Europe and also has several oil fields both on land and offshore. This paper discusses how the oil refinery and traffic-related air pollution affect the chemical composition of airborne particulate matter over the town of Gela, using pine needles and urban road dust as the means of survey. Forty-one samples of pine needles from Pinus halepensis (Mill.) and two composite samples of roadway dust, each subdivided into six size fractions, were analyzed for major and trace elements. Information on the natural or anthropogenic origin of the observed heavy metals was deduced from factor analysis and element distri…

Air pollutionAir pollutionmedicine.disease_causeBiochemistryExtraction and Processing IndustryMetals in airchemistry.chemical_compoundPhenolsMetals HeavymedicineCitiesParticle SizeChemical compositionAir quality indexSicilyGeneral Environmental ScienceVehicle EmissionsPollutantAir PollutantsOil refineryBiogeochemistryDustBiogeochemistryParticulatesPinusSettore GEO/08 - Geochimica E VulcanologiaPlant LeavesIndustrial emissionchemistryEnvironmental chemistryPetroleumEnvironmental scienceParticulate matterEnvironmental MonitoringEnvironmental research
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Seguidors vencen, un grito de guerra para un rey: Un lema para la virtud de la Fortaleza en Alfonso V el Magnánimo (1423-1458)

2017

espanolLa historia politica de Alfonso V el Magnanimo, Rey de Aragon (1416-1458) permanece asociada, indefectiblemente, a sus derechos sobre el trono de Napoles. Las vicisitudes que vivio desde 1423, cuando Juana II Durazzo lo destituyo como heredero del mismo, hasta lograrlo en 1442, motivaron toda una serie de elementos representativos con los que el soberano busco legitimarse ante sus subditos y contemporaneos. De entre ellos, reclama la atencion el posible uso que el monarca hizo del lema “Seguidors vencen”. El estudio de dicho mote y su posible asociacion al emblema real del Siti Perillos constituyen el objeto del presente articulo. EnglishThe political history of Alfonsus V the Magnan…

Alfonso of Aragonlcsh:Fine ArtsEmblemmedia_common.quotation_subjectEmblemsHastaArtCrown of AragonLate Middle AgesPolitical historyThronelcsh:NMottoHumanitiesmedia_commonPotestas. Estudios del Mundo Clásico e Historia del Arte
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Additivity of affine designs

2020

We show that any affine block design $$\mathcal{D}=(\mathcal{P},\mathcal{B})$$ is a subset of a suitable commutative group $${\mathfrak {G}}_\mathcal{D},$$ with the property that a k-subset of $$\mathcal{P}$$ is a block of $$\mathcal{D}$$ if and only if its k elements sum up to zero. As a consequence, the group of automorphisms of any affine design $$\mathcal{D}$$ is the group of automorphisms of $${\mathfrak {G}}_\mathcal{D}$$ that leave $$\mathcal P$$ invariant. Whenever k is a prime p,  $${\mathfrak {G}}_\mathcal{D}$$ is an elementary abelian p-group.

Algebra and Number Theory010102 general mathematics0102 computer and information sciencesAutomorphism01 natural sciencesCombinatoricsKeywords Affine block designs · Hadamard designs · Additive designs · Mathieu group M11010201 computation theory & mathematicsSettore MAT/05 - Analisi MatematicaAdditive functionDiscrete Mathematics and CombinatoricsAffine transformationSettore MAT/03 - Geometria0101 mathematicsInvariant (mathematics)Abelian groupMathematics
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The enveloping algebra of the Lie superalgebra osp(1,2)

1990

International audience

Algebra and Number Theory[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]010102 general mathematicsCurrent algebraUniversal enveloping algebraLie superalgebraN = 2 superconformal algebra01 natural sciencesAffine Lie algebraSuper-Poincaré algebraGraded Lie algebraLie conformal algebra[ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT]Algebra0103 physical sciences010307 mathematical physics0101 mathematicsMathematics::Representation TheoryComputingMilieux_MISCELLANEOUSMathematics
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Conditioning on MV-algebras and additive measures —I

1997

Abstract We present a lattice-ordered semigroup approach for the foundation of conditional events which covers the special situations where the underlying (unconditional) events are Boolean or fuzzy, respectively. Our proposal is quite different from other, ring theoretical, approaches. The problem of extending additivity of uncertainty measures from unconditional to conditional events will be discussed.

AlgebraArtificial IntelligenceLogicTwo-element Boolean algebraFuzzy setFuzzy numberBoolean expressionStone's representation theorem for Boolean algebrasBoolean algebras canonically definedComplete Boolean algebraFuzzy logicMathematicsFuzzy Sets and Systems
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