Search results for "8b"

showing 10 items of 62 documents

Convergence for varying measures in the topological case

2023

In this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguely convergent.

Mathematics - Functional Analysis28B05Primary 28B20 Secondary 26E25 26A39 28B05 46G10 54C60 54C6526A39setwise convergence vaguely convergence weak convergence of measures locally compact Hausdorff space Vitali's TheoremSettore MAT/05 - Analisi Matematica54C60FOS: MathematicsPrimary 28B20Secondary 26E2554C65Functional Analysis (math.FA)46G10
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Integration of multifunctions with closed convex values in arbitrary Banach spaces

2018

Integral properties of multifunctions with closed convex values are studied. In this more general framework not all the tools and the technique used for weakly compact convex valued multifunctions work. We pay particular attention to the "positive multifunctions". Among them an investigation of multifunctions determined by vector-valued functions is presented. Finally, decomposition results are obtained for scalarly and gauge-defined integrals of multifunctions and a full description of McShane integrability in terms of Henstock and Pettis integrability is given.

Mathematics::Functional AnalysisPositive multifunctionPhysics::Medical PhysicsMathematics::Optimization and ControlselectionPositive multifunction gauge integral decomposition theorem for multifunctionselection measure theoryComputer Science::OtherFunctional Analysis (math.FA)Mathematics - Functional Analysismeasure theorySettore MAT/05 - Analisi Matematicagauge integralFOS: Mathematicsdecomposition theorem for multifunction28B20 26E25 26A39 28B0 46G10 54C60 54C65
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Boosting Ethanol Productivity of Zymomonas mobilis 8b in Enzymatic Hydrolysate of Dilute Acid and Ammonia Pretreated Corn Stover Through Medium Optim…

2019

The presence of toxic degradation products in lignocellulosic hydrolysate typically reduced fermentation rates and xylose consumption rate, resulting in a decreased ethanol productivity. In the present study, Zymomonas mobilis 8b was investigated for high cell density fermentation with cell recycling to improve the ethanol productivity in lignocellulosic hydrolysate. The fermentation performances of Z. mobilis 8b at various conditions were first studied in yeast extract-tryptone medium. It was found that nutrient level was essential for glucose and xylose co-fermentation by Z. mobilis 8b and high cell density fermentation with cell recycling worked well in yeast extract-tryptone medium for …

Microbiology (medical)cell recyclinghydrolysatelcsh:QR1-502XyloseMicrobiologyZymomonas mobilisHydrolysatelcsh:Microbiology03 medical and health sciencesAmmoniachemistry.chemical_compoundFood science030304 developmental biology0303 health sciencesEthanolbiology030306 microbiologyChemistryhigh cell density fermentationfood and beveragesbiology.organism_classificationethanol productivityYeastCorn stoverZymomonas mobilis 8bFermentationFrontiers in Microbiology
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Few-body problems in nuclear astrophysics

2005

Few-body methods provide very useful tools to solve different problems important for nuclear astrophysics. Some of them are discussed below.

Nuclear reactionPhysicsNuclear and High Energy PhysicsComputerSystemsOrganization_COMPUTERSYSTEMIMPLEMENTATIONComputingMethodologies_SIMULATIONANDMODELINGNuclear TheoryAstrophysics::Instrumentation and Methods for AstrophysicsNuclear structure8B formation; nuclear reactions; triple collisionsComputerApplications_COMPUTERSINOTHERSYSTEMSFew-body systemsNuclear physicsNuclear astrophysicsNuclear ExperimentJournal of Physics G: Nuclear and Particle Physics
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The Variational Mcshane Integral in Locally Convex Spaces

2009

The variational McShane integral for functions taking values in a locally convex space is defined, and it is characterized by means of the p-variation of the indefinite Pettis integral

Pettis integralConvex analysisMcShane integralPure mathematicsPettis integral McShane integral variational McShane integral locally convex spacesGeneral MathematicsMathematical analysisvariational McShane integral28B05Settore MAT/05 - Analisi Matematicalocally convex spacesLocally convex topological vector spacePettis integral46G10MathematicsRocky Mountain Journal of Mathematics
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Differentiation of an additive interval measure with values in a conjugate Banach space

2014

We present a complete characterization of finitely additive interval measures with values in conjugate Banach spaces which can be represented as Henstock-Kurzweil-Gelfand integrals. If the range space has the weak Radon-Nikodým property (WRNP), then we precisely describe when these integrals are in fact Henstock-Kurzweil-Pettis integrals.

Pettis integralMathematics::Functional AnalysisPure mathematics54C60General MathematicsMathematical analysisMathematics::Classical Analysis and ODEsBanach spacevariational measureKurzweil-Henstock integralCharacterization (mathematics)Space (mathematics)Measure (mathematics)Kurzweil--Henstock integral Pettis integral variational measure.28B05Range (mathematics)26A39Settore MAT/05 - Analisi MatematicaPettis integral28B20Interval (graph theory)46G10MathematicsConjugate
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A Birkhoff type integral and the Bourgain property in a locally convex space

2007

An integral, called the $Bk$-integral, for functions taking values in a locally convex space is defined. Properties of $Bk$-integrable functions are considered and the relations with other integrals are studied. Moreover the $Bk$-integrability of bounded functions is compared with the Bourgain property.

Pettis integralMcShane integralPure mathematicsMathematical analysisConvex setlocally convex spaceRiemann–Stieltjes integralRiemann integralSingular integral28B05symbols.namesakePettis integral McShane integral Birkho integral locally convex spacesBounded functionPettis integralsymbolsPaley–Wiener integralGeometry and TopologyDaniell integralAnalysisBirkhoff integral46G10Mathematics
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Seeing Double:ASASSN-18bt Exhibits a Two-Component Rise in the Early-Time K2 Light Curve

2018

On 2018 Feb. 4.41, the All-Sky Automated Survey for SuperNovae (ASAS-SN) discovered ASASSN-18bt in the K2 Campaign 16 field. With a redshift of z=0.01098 and a peak apparent magnitude of B_{max}=14.31, ASASSN-18bt is the nearest and brightest SNe Ia yet observed by the Kepler spacecraft. Here we present the discovery of ASASSN-18bt, the K2 light curve, and pre-discovery data from ASAS-SN and the Asteroid Terrestrial-impact Last Alert System (ATLAS). The K2 early-time light curve has an unprecedented 30-minute cadence and photometric precision for an SN~Ia light curve, and it unambiguously shows a ~4 day nearly linear phase followed by a steeper rise. Thus, ASASSN-18bt joins a growing list o…

PhysicsHigh Energy Astrophysical Phenomena (astro-ph.HE)Field (physics)FOS: Physical sciencesAstronomy and AstrophysicsAstrophysicsRadiusindividual (ASASSN-18bt SN 2018oh) [supernovae]Light curve01 natural sciencesPower lawRedshiftSupernovaApparent magnitude13. Climate actionSpace and Planetary ScienceAsteroid0103 physical sciencesQD010306 general physicsAstrophysics - High Energy Astrophysical Phenomena010303 astronomy & astrophysicsQCQB
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Partial inner product spaces: Some categorical aspects

2012

We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP spaces of practical interest.

Pure mathematicsArticle SubjectApplied MathematicsPhysicsQC1-999categoriesGeneral Physics and AstronomyFOS: Physical sciencesMathematical Physics (math-ph)QC20Inner product spaceSettore MAT/05 - Analisi MatematicaMathematics::Category Theory46Cxx 18BxxPip-spaceConstruct (philosophy)Categorical variableMathematical PhysicsMathematics
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The snail lemma for internal groupoids

2019

Abstract We establish a generalized form both of the Gabriel-Zisman exact sequence associated with a pointed functor between pointed groupoids, and of the Brown exact sequence associated with a fibration of pointed groupoids. Our generalization consists in replacing pointed groupoids with groupoids internal to a pointed regular category with reflexive coequalizers.

Pure mathematicsExact sequenceLemma (mathematics)Internal groupoid Snail lemma Fibration Snake lemmaAlgebra and Number TheoryFunctorMathematics::Operator Algebras010102 general mathematicsFibrationMathematics - Category Theory01 natural sciences18B40 18D35 18G50Settore MAT/02 - AlgebraMathematics::K-Theory and HomologyMathematics::Category Theory0103 physical sciencesFOS: MathematicsCategory Theory (math.CT)Regular category010307 mathematical physics0101 mathematicsMathematics::Symplectic GeometryMathematics
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