Search results for " Algebra"

showing 10 items of 2082 documents

On the History of Differentiable Manifolds

2012

International audience; We discuss central aspects of history of the concept of an affine dif-ferentiable manifold, as a proposal confirming the need for using some quantitative methods (drawn from elementary Model Theory) in Mathematical Historiography. In particular, we prove that this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.

implicit functionWhitney's theoremprinciple of virtual worksMathematics::History and Overviewrigiddifferentiable manifold implicit function semantics Lindenbaum-Tarski algebraLindenbaum-Tarski algebra[MATH.MATH-LO]Mathematics [math]/Logic [math.LO][MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG][MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO][MATH.MATH-LO] Mathematics [math]/Logic [math.LO][MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]semanticssyntaxdesignatordifferentiable manifold
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Quasi *-algebras and generalized inductive limits of C*-algebras

2011

inductive limitJordan algebraGeneral MathematicsSubalgebraCurrent algebraUniversal enveloping algebraFiltered algebraAlgebraC*-algebrasSettore MAT/05 - Analisi MatematicaQuasi *-algebraAlgebra representationDivision algebraCellular algebraMathematics
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A simple methodology for comparing cost-benefit of traditional, green and cool roofs

2019

Energy policy makers, architects and researchers, when designing new buildings or rehabilitating the existing ones, are engaged in the attempt of limiting the energy needs for climatization (NZEB buildings) and the environmental pressure exerted by buildings (EU Climate Action). The pursuit of this demanding assignment calls for innovative solutions in conceiving the building envelope and its energy systems. Recently, among the most effective tools for improving the energy and environmental performances of buildings, the technical interventions regarding the roofs are gaining a rising attention. Indeed, covers of buildings are responsible of a relevant part of their energy losses and, on th…

lcsh:GE1-350010504 meteorology & atmospheric sciencesbusiness.industry0211 other engineering and technologies02 engineering and technology01 natural sciencesSimple (abstract algebra)Environmental science021108 energyCost benefitReflective surfacesProcess engineeringbusinesslcsh:Environmental sciences0105 earth and related environmental sciencesE3S Web of Conferences
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Voisinages tubulaires épointés et homotopie stable à l'infini

2022

We initiate a study of punctured tubular neighborhoods and homotopy theory at infinity in motivic settings. We use the six functors formalism to give an intrinsic definition of the stable motivic homotopy type at infinity of an algebraic variety. Our main computational tools include cdh-descent for normal crossing divisors, Euler classes, Gysin maps, and homotopy purity. Under-adic realization, the motive at infinity recovers a formula for vanishing cycles due to Rapoport-Zink; similar results hold for Steenbrink's limiting Hodge structures and Wildeshaus' boundary motives. Under the topological Betti realization, the stable motivic homotopy type at infinity of an algebraic variety recovers…

links of singularities[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]Motivic homotopy theorypunctured tubular neighborhoods[MATH.MATH-AT] Mathematics [math]/Algebraic Topology [math.AT]stable homotopy at infinityMathematics::Algebraic TopologyMathematics - Algebraic Geometrylinks of singularities.Mathematics::Algebraic Geometryquadratic invariantsMathematics::K-Theory and HomologyFOS: MathematicsAlgebraic Topology (math.AT)14F42 19E15 55P42 14F45 55P57Mathematics - Algebraic TopologyAlgebraic Geometry (math.AG)qua- dratic invariants
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MR3631681 Reviewed Nigsch, E. A.(A-WIENM) On a nonlinear Peetre's theorem in full Colombeau algebras. (English summary) Comment. Math. Univ. Carolin.…

2017

Colombeau algebras are defined as quotients of spaces containing the representatives of generalized functions given by smooth mappings: R:C∞(Ω,D(Ω))→C∞(Ω), where Ω is an open subset of Rn. In this paper the notion of locality defined by the author for a representative R of a nonlinear generalized function is characterized in such a way that the representative depends only on its ∞-jet. Finally, the author examines the possibility of defining a notion of order for the mapping R.

local functionColombeau algebraSettore MAT/05 - Analisi Matematicanonlinear Peetre's theorem
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Tidlig algebra : en studie av tidlig algebra med elever på 6. trinn

2016

Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 The main theme for the research described in this thesis is early algebra. Early algebra is a phase that could fit the gap between arithmetic and algebra. Early algebra includes algebraic reasoning, such as analyzing relationships between quantities, noticing structure, studying change, or generalizing, without a need to use symbols. In my Theoretical Frame, I define the terms early algebra, algebraic thinking, and generalization; I explain the differences between early algebra and pre-algebra, and I go into the relationships between arithmetic and algebra. To gain insight into early algebra, I have studied how pupils in 6th gra…

matematikkundervisningtidlig algebramellomtrinnetMA502VDP::Mathematics and natural science: 400::Mathematics: 410VDP::Social science: 200::Education: 280::Subject didactics: 283
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A role for backward transitional probabilities in word segmentation?

2008

A number of studies have shown that people exploit transitional probabilities between successive syllables to segment a stream of artificial continuous speech into words. It is often assumed that what is actually exploited are the forward transitional probabilities (given XY, the probability that X will be followed by Y ), even though the backward transitional probabilities (the probability that Y has been preceded by X) were equally informative about word structure in the languages involved in those studies. In two experiments, we showed that participants were able to learn the words from an artificial speech stream when the only available cues were the backward transitional probabilities.…

media_common.quotation_subjectSpeech recognitionExperimental and Cognitive Psychologycomputer.software_genreArts and Humanities (miscellaneous)Simple (abstract algebra)PhoneticsPerceptionHumansSegmentationAttentionmedia_commonCommunicationParsingbusiness.industryText segmentationLinguisticsMutual informationSemanticsConstructed languageNeuropsychology and Physiological PsychologySpeech PerceptionCuesProbability LearningPsychologybusinesscomputerWord (computer architecture)Memorycognition
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Mo2021 Predicting Polyp Histology - Development and Validation of an International Simple Endoscopic Classification of Small Colorectal Polyps Using …

2017

medicine.medical_specialtySimple (abstract algebra)business.industryGastroenterologymedicineRadiology Nuclear Medicine and imagingHistologyRadiologybusinessGastrointestinal Endoscopy
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A Rare Accident

2007

In 1964, I moved from Vienna to Homburg/Saar to take an Associate Professor position in one of the most recognized departments of urology headed by Prof. C.E. Alken. Still on duty at 4 p.m., I received a call from the chief of the surgical department to join him immediately in the emergency room.

medicine.medical_specialtybusiness.industryGeneral surgerymedia_common.quotation_subjectmedicine.diseaseVesicovaginal fistulaPosition (obstetrics)Bladder ruptureSurgical departmentmedicineJoin (sigma algebra)businessDutyAccident (philosophy)Associate professormedia_common
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"Figure 5a" of "Measurement of jet-medium interactions via direct photon-hadron correlations in Au$+$Au and $d$$+$Au collisions at $\sqrt{s_{_{NN}}}=…

2021

$I_{AA}$ vs $\xi$ for direct photon $p_{T}^{\gamma}$ of 5-7 GeV/$c$, 7-9 GeV/$c$, and 9-12 GeV/$c$.

mid-rapidityMathematics::Commutative AlgebraAstrophysics::High Energy Astrophysical PhenomenaHigh Energy Physics::Experimenttransverse momentumNuclear Experimentppg210photon-hadron correlationsAU AU200.0
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