Search results for " Transformation"

showing 10 items of 1043 documents

Positivity, complex FIOs, and Toeplitz operators

2018

International audience; We establish a characterization of complex linear canonical transformations that are positive with respect to a pair of strictly plurisubharmonic quadratic weights. As an application, we show that the boundedness of a class of Toeplitz operators on the Bargmann space is implied by the boundedness of their Weyl symbols.

Class (set theory)Pure mathematicsFourier integral operator in the complex domainPrimary: 32U05 32W25 35S30 47B35 70H1570H15Mathematics::Classical Analysis and ODEsOcean EngineeringCharacterization (mathematics)32U05 32W25 35S30 47B35 70H15Space (mathematics)01 natural sciencesMathematics - Analysis of PDEsQuadratic equation0103 physical sciencesFOS: Mathematics0101 mathematics[MATH]Mathematics [math]MathematicsMathematics::Functional Analysispositive canonical transformationMathematics::Complex Variables32U0532W25010102 general mathematicsToeplitz matrixFunctional Analysis (math.FA)Mathematics - Functional Analysis35S30Toeplitz operatorpositive Lagrangian plane010307 mathematical physicsstrictly plurisubharmonic quadratic form47B35Analysis of PDEs (math.AP)Toeplitz operator
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Rigidity of quasisymmetric mappings on self-affine carpets

2016

We show that the class of quasisymmetric maps between horizontal self-affine carpets is rigid. Such maps can only exist when the dimensions of the carpets coincide, and in this case, the quasisymmetric maps are quasi-Lipschitz. We also show that horizontal self-affine carpets are minimal for the conformal Assouad dimension.

Class (set theory)Pure mathematicsMathematics::Dynamical SystemsGeneral Mathematicsquasisymmetric mapsMathematics::General TopologyPhysics::OpticsConformal mapRigidity (psychology)01 natural sciencesDimension (vector space)0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics::Metric Geometry0101 mathematicsself-affine carpetsMathematicsta111010102 general mathematicsPhysics::Classical PhysicsMathematics - Classical Analysis and ODEs010307 mathematical physicsAffine transformation28A80 37F35 30C62 30L10
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Invariant deformation theory of affine schemes with reductive group action

2015

We develop an invariant deformation theory, in a form accessible to practice, for affine schemes $W$ equipped with an action of a reductive algebraic group $G$. Given the defining equations of a $G$-invariant subscheme $X \subset W$, we device an algorithm to compute the universal deformation of $X$ in terms of generators and relations up to a given order. In many situations, our algorithm even computes an algebraization of the universal deformation. As an application, we determine new families of examples of the invariant Hilbert scheme of Alexeev and Brion, where $G$ is a classical group acting on a classical representation, and describe their singularities.

Classical groupPure mathematicsInvariant Hilbert schemeDeformation theory01 natural sciencesMathematics - Algebraic Geometry0103 physical sciencesFOS: Mathematics0101 mathematicsInvariant (mathematics)Representation Theory (math.RT)Algebraic Geometry (math.AG)MathematicsAlgebra and Number Theory[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]010102 general mathematicsReductive group16. Peace & justiceObstruction theoryDeformation theoryHilbert schemeAlgebraic groupMSC: 13A50; 20G05; 14K10; 14L30; 14Q99; 14B12Gravitational singularity010307 mathematical physicsAffine transformation[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]SingularitiesMathematics - Representation Theory
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Canonical Perturbation Theory with Several Degrees of Freedom

2001

We extend the perturbation theory of the previous chapter by going one order further and permitting several degrees of freedom. So let the unperturbed problem H0(J k 0) be solved.

Classical mechanicsCanonical transformationAction variableMathematics
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Analytic high-order Douglas–Kroll–Hess electric field gradients

2007

In this work we present a comprehensive study of analytical electric field gradients in hydrogen halides calculated within the high-order Douglas-Kroll-Hess (DKH) scalar-relativistic approach taking picture-change effects analytically into account. We demonstrate the technical feasibility and reliability of a high-order DKH unitary transformation for the property integrals. The convergence behavior of the DKH property expansion is discussed close to the basis set limit and conditions ensuring picture-change-corrected results are determined. Numerical results are presented, which show that the DKH property expansion converges rapidly toward the reference values provided by four-component met…

Classical mechanicsChemistryOperator (physics)Convergence (routing)General Physics and AstronomyApplied mathematicsUnitary matrixLimit (mathematics)Perturbation theory (quantum mechanics)Physical and Theoretical ChemistryUnitary transformationParametrizationBasis set
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Therapeutic implications of Cancer Initiating Cells.

2009

Background: Until few years ago, all neoplastic cells within a tumour were suggested to have tumorigenic capacity, but recent evidences hint to the possibility that such feature is confined to a subset of Cancer Initiating Cells (CICs), also called Cancer Stem Cells (CSCs). These cells are the reservoir of the heterogeneous populations of differentiated cancer cells constituting the tumour bulk. Mechanisms shared with somatic stem cells, such as quiescence, self-renewal ability, asymmetric division and multidrug resistance, allow to these cells to drive tumour growth and to evade conventional therapy. Objective: Here, we give a brief overview on the origin of CICs, the mechanisms involved i…

Clinical BiochemistryCellPopulationCell- and Tissue-Based TherapyApoptosisBiologymedicine.disease_causeMedical OncologyDisease-Free SurvivalMiceCancer stem cellAntigens CDNeoplasmsDrug DiscoverymedicineAnimalsHumansAC133 AntigenNeoplasm MetastasiseducationInterleukin 4GlycoproteinsPharmacologyeducation.field_of_studyCancermedicine.diseasemedicine.anatomical_structureCell Transformation NeoplasticDrug Resistance NeoplasmImmunologyCancer cellCancer researchNeoplastic Stem Cellscancer initiating cells cancer stem cells drug resistance IL-4CarcinogenesisPeptidesNeoplasm TransplantationAdult stem cellExpert opinion on biological therapy
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Coesione, trasformazione e riuso creativo dello spazio abitativo: un caso di studio sostenibile nel territorio siciliano

2015

Cohesion, reuse and transformation are key concepts of the project of sustainable regeneration of the built environment. They are also essential for the development and control of territory. In a perspective of sustainable regeneration also the transformation and reuse "creative" of depressed urban areas and abandoned buildings, are crucial for the protection of the environment and against the land consumption. For many years the sustainable regeneration is a key concept of Community policies: "It is imperative to reuse urban areas unused, derelict or contaminated. Today these urban areas are in excess of any other period of the industrial urban history. The reuse of land and abandoned buil…

Cohesion transformation participation sustainability technological designCoesione trasformazione partecipazione sostenibilità progettazione tecnologicaSettore ICAR/12 - Tecnologia Dell'Architettura
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Decreased temperature increases the expression of a disordered bacterial late embryogenesis abundant (LEA) protein that enhances natural transformati…

2021

Late embryogenesis abundant (LEA) proteins are important players in the management of responses to stressful conditions, such as drought, high salinity, and changes in temperature. Many LEA proteins do not have defined three-dimensional structures, so they are intrinsically disordered proteins (IDPs) and are often highly hydrophilic. Although LEA-like sequences have been identified in bacterial genomes, the functions of bacterial LEA proteins have been studied only recently. Sequence analysis of outer membrane interleukin receptor I (BilRI) from the oral pathogen Aggregatibacter actinomycetemcomitans indicated that it shared sequence similarity with group 3/3b/4 LEA proteins. Comprehensive …

Cold shock proteinEmbryonic DevelopmentInfectious and parasitic diseasesRC109-216Aggregatibacter actinomycetemcomitansbakteeritkylmänkestävyysNMR spectroscopyBacterial Proteinsnmr spectroscopyDNA transformation competencelate embryogenesis abundant proteinHumansNMR-spektroskopiaPlant Proteinsaggregatibacter actinomycetemcomitanscold shock proteinlate embryogenesisBiochemistry and Molecular BiologyTemperatureIntrinsically Disordered Proteinsabundant proteindna transformation competencelämpötilaproteiinitBiokemi och molekylärbiologiResearch ArticleResearch PaperVirulence
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Search for supersymmetry in events with large missing transverse momentum, jets, and at least one tau lepton in 7 TeV proton-proton collision data wi…

2012

A search for supersymmetry (SUSY) in events with large missing transverse momentum, jets, and at least one hadronically decaying τ lepton, with zero or one additional light lepton (e/μ), has been performed using 4.7 fb[superscript −1] of proton-proton collision data at √s = 7 TeV recorded with the ATLAS detector at the Large Hadron Collider. No excess above the Standard Model background expectation is observed and a 95 % confidence level visible cross-sectionupper limit for new phenomena is set. In the framework of gauge-mediated SUSY-breaking models, lower limits on the mass scale Λ are set at 54 TeV in the regions where the [bar over τ]1 is the next-to-lightest SUSY particle (tanβ > 20). …

CollisionPhysics and Astronomy (miscellaneous)Atlas detectorLarge hadron colliderNuclear physicsE(+)E(-) CollisionsParameter space7. Clean energy01 natural sciencesHigh Energy Physics - ExperimentHigh Energy Physics - Experiment (hep-ex)ExtensionNaturvetenskap[PHYS.HEXP]Physics [physics]/High Energy Physics - Experiment [hep-ex]Detectors and Experimental TechniquesDetectors de radiacióTransverse momentumddc:539PhysicsLarge Hadron ColliderAtlas (topology)PhysicsSettore FIS/01 - Fisica SperimentaleParticle physicsSupersymmetryATLASTransverse momentumComputingMethodologies_DOCUMENTANDTEXTPROCESSINGFísica nuclearLHCNatural SciencesParticle Physics - ExperimentParticle physicsCiências Naturais::Ciências FísicasAtlas detectorSupergauge Transformations:Ciências Físicas [Ciências Naturais]FOS: Physical sciencesddc:500.2530Partícules (Física nuclear)LeptonNuclear physicsParameter space0103 physical sciencesddc:530High Energy PhysicsEngineering (miscellaneous); Physics and Astronomy (miscellaneous)010306 general physicsEngineering (miscellaneous)Hadron-Hadron ScatteringScience & Technology010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyFísicaQC0793Breaking TopologiesCollisionCollaborationGeneratorsOf-Mass EnergiesHADRON-HADRON COLLISIONSRoot-S=7 TevCol·lisions (Física nuclear)Experimental High Energy PhysicsHigh Energy Physics::ExperimentSupersymmetryModelLepton
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Cotype 2 estimates for spaces of polynomials on sequence spaces

2002

We give asymptotically correct estimations for the cotype 2 constant C2(P(mXn)) ofthe spaceP(mXn) of allm-homogenous polynomials onXn, the span of the firstn sequencesek=(\gdkj)j in a Banach sequence spaceX. Applications to Minkowski, Orlicz and Lorentz sequence spaces are given.

CombinatoricsMathematics::Functional AnalysisSequencesymbols.namesakeSpan (category theory)General MathematicsLorentz transformationMinkowski spaceMathematics::Optimization and ControlsymbolsAlgebra over a fieldConstant (mathematics)Mathematics
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