Search results for " proof"

showing 10 items of 118 documents

Mediterranean diet and sars-cov-2 infection: Is there any association? a proof-of-concept study

2021

The aim of this observational study was investigating the possible correlation between adherence to the Mediterranean diet (MeD) and SARS-COV-2 infection rates and severity among healthcare professionals (HCPs). An online self-administrated questionnaire (evaluating both MeD adherence and dietary habits) was filled out by HCPs working in Piedmont (Northern Italy) from 15 January to 28 February 2021. Out of the 1206 questionnaires collected, 900 were considered reliable and analyzed. Individuals who reported the SARS-COV-2 infection (n = 148) showed a significantly lower MeD score, with a lower adherence in fruit, vegetables, cereals, and olive oil consumption. In a logistic regression model…

0301 basic medicineAdultMalemedicine.medical_specialtySARS-COV-2 infectionMediterranean dietSevere acute respiratory syndrome coronavirus 2 (SARS-CoV-2)030209 endocrinology & metabolismMediterraneanDietary habitLogistic regressionDiet MediterraneanAsymptomaticProof of Concept StudyArticle03 medical and health sciences0302 clinical medicineRisk FactorsInternal medicineHealthcare professionalsMediterranean dietSurveys and QuestionnairesmedicineHumansTX341-641Settore MED/49 - Scienze Tecniche Dietetiche ApplicateSARS-COV-2 infection.AgedRetrospective Studies030109 nutrition & dieteticsNutrition and DieteticsHealth professionalsNutrition. Foods and food supplybusiness.industryDietary habitsSARS-CoV-2Risk of infectionAge FactorsCOVID-19Retrospective cohort studyMiddle AgedDietDietary habits; Healthcare professionals; Mediterranean diet; SARS-COV-2 infection; Adult; Age Factors; Aged; COVID-19; Female; Humans; Male; Middle Aged; Proof of Concept Study; Retrospective Studies; Risk Factors; Diet Mediterranean; SARS-CoV-2; Surveys and QuestionnairesHealthcare professionalObservational studyFemalemedicine.symptombusinessFood Science
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Stability of stationary solutions in models of the Calvin cycle

2017

Abstract In this paper results are obtained concerning the number of positive stationary solutions in simple models of the Calvin cycle of photosynthesis and the stability of these solutions. It is proved that there are open sets of parameters in the model of Zhu et al. (2009) for which there exist two positive stationary solutions. There are never more than two isolated positive stationary solutions but under certain explicit special conditions on the parameters there is a whole continuum of positive stationary solutions. It is also shown that in the set of parameter values for which two isolated positive stationary solutions exist there is an open subset where one of the solutions is asym…

0301 basic medicineWork (thermodynamics)Applied Mathematics010102 general mathematicsGeneral EngineeringOpen setGeneral MedicineMathematical proof01 natural sciencesStability (probability)03 medical and health sciencesComputational Mathematics030104 developmental biologySimple (abstract algebra)Stability theoryApplied mathematicsContinuum (set theory)0101 mathematicsGeneral Economics Econometrics and FinanceAnalysisBifurcationMathematicsNonlinear Analysis: Real World Applications
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Kollineationen und Schliessungssätze für Ebene Faserungen

1979

Every affine central collineation of a translation plane π induces a special collineation of the projective space π spanned by the spreadF belonging to π. Here the relations between these special collineations of π and certain incidence propositions inF are investigated; so new proofs are given for some characterisations of (A,B)-regular spreads included in [7].

AlgebraPure mathematicsCollineationTranslation planeProjective spaceGeometry and TopologyAffine transformationMathematical proofIncidence (geometry)MathematicsJournal of Geometry
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A Lattice-Geometric Proof of Wedderburn’s Theorem

1993

This note presents a proof of Wedderburn’s theorem concerning the classification of semisimple rings within the conceptual frame of projective lattice geometry.

AlgebraPure mathematicsLattice (module)Mathematics (miscellaneous)Wedderburn's little theoremApplied MathematicsMathematics::Rings and AlgebrasConceptual frameGeometric proofMathematicsAnalytic proofResults in Mathematics
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Atomic Decomposition of Weighted Besov Spaces

1996

We find the atomic decomposition of functions in the weighted Besov spaces under certain factorization conditions on the weight. Introduction. After achieving the atomic decomposition of Hardy spaces (see [8,22, 33]), many of the function saces have been shown to admit similar decompositions. Let us mention the decomposition of B.M.O. (see [32, 25]), Bergman spaces (see [9, 23]), the predual of Bloch space (see [ 11]), Besov spaces (see [15, 4, 10]), Lipschitz spaces (see [18]), Triebel-Lizorkin spaces (see [16, 31]),... They are obtained by quite different methods, but there is a unified and beautiful approach to get the decomposition for most of the spaces. This is the use of a formula du…

Bloch spacesymbols.namesakePure mathematicsFactorizationGeneral MathematicsSchur's lemmasymbolsBesov spacePredualDirect proofHardy spaceLipschitz continuityMathematicsJournal of the London Mathematical Society
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Causalità e responsabilità contrattuale (tenzone tra un giudice e un professore). Parte II: La causalità materiale e le obbligazioni di facere profes…

2022

Il saggio si articola in due parti. Nella prima vengono affrontate le due fasi del giudizio sulla causalità materiale, soffermandosi, in particolare, sul nodo dell'individuazione delle regole di causalità generale, sul problema sistematico dell'unitarietà o meno della nozione di causalità materiale, anche alla luce della portata degli art. 40 e 41 c.p., e sulla necessità di differenziare le regole probatorie della causalità materiale nel diritto civile rispetto a quelle operanti nel diritto penale. Nella seconda parte viene approfondito il tema controverso dell'autonomo rilievo o meno della causalità materiale nella responsabilità per inadempimento delle obbligazioni di facere professionale…

CausationMaterial CausationIndividual CausationObligations of professionalContractual LiabilitySettore IUS/01 - Diritto PrivatoGeneral Causationdamageburden of proof.Tort
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CITES, wild plants, and opportunities for crime

2017

The illegal trade in endangered plants damages both the environment and localcommunities by threatening and destroying numerous species and important natural resources. There is very little research which systematically addresses this issue by identifying specific opportunities for crime. This article presents the results of an interdisciplinary study which brings together criminological and conservation science expertise to identify criminal opportunities in the illegal wild plant trade and suggest strategies in order to prevent and mitigate the problem. Methodologically, the study adapts a crime proofing of legislation approach to the UN Convention on the International Trade in Endangered…

Cites Wildlife Plants Crime proofing of legislation Situational crime preventionCITESbusiness.industry05 social sciencesEnvironmental resource managementEndangered speciesLegislationNatural resourceIntervention (law)Crime preventionPolitical scienceSettore BIO/03 - Botanica Ambientale E Applicata050501 criminologyDamagesSettore IUS/13 - Diritto InternazionaleSituational ethicsbusinessLawEnvironmental planning0505 law
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Are locally finite MV-algebras a variety?

2021

We answer Mundici's problem number 3 (D. Mundici. Advanced {\L}ukasiewicz calculus. Trends in Logic Vol. 35. Springer 2011, p. 235): Is the category of locally finite MV-algebras equivalent to an equational class? We prove: (i) The category of locally finite MV-algebras is not equivalent to any finitary variety. (ii) More is true: the category of locally finite MV-algebras is not equivalent to any finitely-sorted finitary quasi-variety. (iii) The category of locally finite MV-algebras is equivalent to an infinitary variety; with operations of at most countable arity. (iv) The category of locally finite MV-algebras is equivalent to a countably-sorted finitary variety. Our proofs rest upon th…

Class (set theory)Pure mathematicsAlgebra and Number Theory06D35 (Primary) 18C05 (Secondary)Duality (mathematics)Mathematics - Category TheoryMathematics - LogicArityMathematical proofComputer Science::Logic in Computer ScienceMathematics::Category TheoryFOS: MathematicsCountable setFinitaryCategory Theory (math.CT)Variety (universal algebra)Logic (math.LO)Categorical variableMathematics
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A simple proof of the polylog counting ability of first-order logic

2007

The counting ability of weak formalisms (e.g., determining the number of 1's in a string of length N ) is of interest as a measure of their expressive power, and also resorts to complexity-theoretic motivations: the more we can count the closer we get to real computing power. The question was investigated in several papers in complexity theory and in weak arithmetic around 1985. In each case, the considered formalism (AC 0 -circuits, first-order logic, Δ 0 ) was shown to be able to count up to a polylogarithmic number. An essential part of the proofs is the construction of a 1-1 mapping from a small subset of {0, ..., N - 1} into a small initial segment. In each case the expressibility of …

CombinatoricsDiscrete mathematicsMultidisciplinaryComputer scienceElementary proofHash functionMathematical proofRotation formalisms in three dimensionsPrime number theoremFirst-order logicCoding (social sciences)Initial segmentACM SIGACT News
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The McKay conjecture and Galois automorphisms

2004

The main problem of representation theory of finite groups is to find proofs of several conjectures stating that certain global invariants of a finite group G can be computed locally. The simplest of these conjectures is the ?McKay conjecture? which asserts that the number of irreducible complex characters of G of degree not divisible by p is the same if computed in a p-Sylow normalizer of G. In this paper, we propose a much stronger version of this conjecture which deals with Galois automorphisms. In fact, the same idea can be applied to the celebrated Alperin and Dade conjectures.

CombinatoricsFinite groupMathematics (miscellaneous)ConjectureStatistics Probability and UncertaintyInvariant (mathematics)AutomorphismMathematical proofCentralizer and normalizerRepresentation theory of finite groupsGroup representationMathematicsAnnals of Mathematics
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