Search results for "rigid"

showing 10 items of 188 documents

Failure of topological rigidity results for the measure contraction property

2014

We give two examples of metric measure spaces satisfying the measure contraction property MCP(K,N) but having different topological dimensions at different regions of the space. The first one satisfies MCP(0,3) and contains a subset isometric to $\mathbb{R}$, but does not topologically split. The second space satisfies MCP(2,3) and has diameter $\pi$, which is the maximal possible diameter for a space satisfying MCP(N-1,N), but is not a topological spherical suspension. The latter example gives an answer to a question by Ohta.

Mathematics - Differential Geometrymetric measure spacesGeodesicPhysics::Instrumentation and DetectorsQuantitative Biology::Tissues and Organsmeasure contraction propertyMetric Geometry (math.MG)53C23 (Primary) 28A33 49Q20 (Secondary)Ricci curvature lower boundsTopologyPotential theorymaximal diameter theoremnonbranchingRigidity (electromagnetism)Mathematics - Metric GeometryDifferential Geometry (math.DG)splitting theoremFOS: MathematicsSplitting theoremContraction (operator theory)AnalysisMathematicsgeodesics
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The method of moving planes: a quantitative approach

2018

We review classical results where the method of the moving planes has been used to prove symmetry properties for overdetermined PDE's boundary value problems (such as Serrin's overdetermined problem) and for rigidity problems in geometric analysis (like Alexandrov soap bubble Theorem), and we give an overview of some recent results related to quantitative studies of the method of moving planes, where quantitative approximate symmetry results are obtained.

Mathematics - Differential Geometryoverdetermined problem010102 general mathematicsmean curvaturelcsh:QA299.6-43335N25; 35B35; 53A10; 53C24; 35B50; 35B51; 35J70alexandrov soap bubble theoremlcsh:Analysisstability01 natural sciencesAlexandrov Soap Bubble Theorem; overdetermined problems; rigidity; stability; mean curvature; moving planesMathematics - Analysis of PDEsrigidityDifferential Geometry (math.DG)Settore MAT/05 - Analisi Matematicaoverdetermined problemsFOS: Mathematics0101 mathematicsmoving planesAnalysis of PDEs (math.AP)
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Conformational behaviour of 2,2?-bipyrrole

1986

The rotational potential around the interannular bond in 2,2′-bipyrrole has been calculated making use of standard minimal STO-3G and split valence 4-31G basis sets. Geometrical optimization concerning the most significant interannular internal parameters has been performed with both basis sets. The trans conformer is predicted to be more stable than the cis. The minimal basis set predicts the existence of a cisoid-gauche minimum which after limited optimization becomes very shallow and it seems to be an artifact of the rigid rotor approximation. At 4-31G level, both the trans and cis conformers represent maxima in the potential curve and two gauche minima appear at θ=46.0° and θ=147.6°, th…

Maxima and minimaValence (chemistry)Computational chemistryChemistryGaussian orbitalAbsolute maximumChiropracticsRigid rotorPhysical and Theoretical ChemistryMaximaConformational isomerismMolecular physicsBasis setTheoretica Chimica Acta
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Familial mixed congenital myopathy with rigid spine phenotype

1997

We describe a father and daughter with a rigid spine syndrome and proximal myopathy. The index patient was a 42-year-old man, who died from respiratory failure after a lifelong, slowly progressive proximal myopathy and a rigid spine phenotype. This was morphologically characterized by cytoplasmic bodies, increased desmin, features of reducing-body myopathy, and sarcoplasmic and intranuclear tubulofilamentous inclusions. These cases are characterized by an early onset and possibly autosomal-dominant inheritance, with associated complex structural hallmarks of both desmin-related and inclusion body myopathies. Together they may be defined as a complex mixed congenital myopathy with a rigid sp…

Mixed congenital myopathyPathologymedicine.medical_specialtyPhysiologybusiness.industryRIGID SPINE SYNDROMEAnatomymusculoskeletal systemRigid spinePhenotypeTubulofilamentous inclusionsCellular and Molecular NeuroscienceRespiratory failurePhysiology (medical)medicineDesminNeurology (clinical)medicine.symptomMyopathybusinessMuscle & Nerve
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Effect of cholesterol on the physical properties of pulmonary surfactant films: Atomic force measurements study

2006

International audience; Atomic force measurements were performed on supported pulmonary surfactant (PS) films to address the effect of cholesterol on the physical properties of lung surfactant films. We recently found that cholesterol in excess of a physiological proportion abolishes surfactant function, and is the reason that surfactant fails to lower the surface tension upon compression. In this study, we investigated how the loss of mechanical stability observed earlier is related to the local mechanical properties of the film by local force measurements. The presence of 20% of cholesterol in bovine lipid extract surfactant (BLES) resulted in a decrease of the observed adhesive interacti…

Models Molecular12-DipalmitoylphosphatidylcholineSurface PropertiesFunctional failureLipid BilayersAnalytical chemistryMicroscopy Atomic ForceSurface tensionchemistry.chemical_compoundRigidity (electromagnetism)Pulmonary surfactantAnimalsSurface TensionInstrumentationAtomic force microscopyCholesterolPulmonary SurfactantsAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsCholesterol[ PHYS.PHYS.PHYS-AO-PH ] Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]chemistryMechanical stabilityPhosphatidylcholinesBiophysicsCattleAdhesiveUltramicroscopy
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A novel bio-orthogonal cross-linker for improved protein/protein interaction analysis

2015

International audience; The variety of protein cross-linkers developed in recent years illustrates the current requirement for efficient reagents optimized for mass spectrometry (MS) analysis. To date, the most widely used strategy relies on commercial cross-linkers that bear an isotopically labeled tag and N-hydroxysuccinimid-ester (NHS-ester) moieties. Moreover, an enrichment step using liquid chromatography is usually performed after enzymatic digestion of the cross-linked proteins. Unfortunately, this approach suffers from several limitations. First, it requires large amounts of proteins. Second, NHS-ester cross-linkers are poorly efficient because of their fast hydrolysis in water. Fin…

Models MolecularAzidesMolecular Sequence DataPeptide[CHIM.THER]Chemical Sciences/Medicinal ChemistryMass spectrometry01 natural sciencesMass SpectrometryAnalytical ChemistryProtein–protein interaction03 medical and health sciencesHydrolysis[CHIM.ANAL]Chemical Sciences/Analytical chemistryProtein Interaction MappingHumansOrganic chemistryAmino Acid SequenceProtein Interaction MapsCross linker030304 developmental biologychemistry.chemical_classification0303 health sciencesRigid coreEnzymatic digestionChemistry[CHIM.ORGA]Chemical Sciences/Organic chemistry010401 analytical chemistryHSC70 Heat-Shock ProteinsParkinson Disease[CHIM.CATA]Chemical Sciences/CatalysisCombinatorial chemistry0104 chemical sciences[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistryCross-Linking ReagentsReagentalpha-SynucleinCarbamates[CHIM.CHEM]Chemical Sciences/CheminformaticsChromatography Liquid
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Toward engineering efficient peptidomimetics. Screening conformational landscape of two modified dehydroaminoacids

2013

Effective peptidomimetics should posses structural rigidity and appropriate interaction pattern leading to potential spatial and electronic matching to the target receptor site. Rational design of such small bioactive molecules could push chemical synthesis and molecular modeling toward faster progress in medicinal chemistry. Conformational properties of N-t-butoxycarbonyl-glycine-(E/Z)-dehydrophenylalanine N′,N′-dimethylamides (Boc-Gly-(E/Z)-ΔPhe-NMe2) in chloroform were studied by NMR and IR spectroscopy. The experimental findings were supported by extensive calculations at DFT(B3LYP, M06-2X) and MP2 levels of theory and the β-turn tendency for both isomers of the studied dipeptide were d…

Models MolecularspectroscopyMagnetic Resonance SpectroscopyMolecular modelProtein ConformationBiophysicsInfrared spectroscopydehydrophenylalanineBiochemistryBiomaterialschemistry.chemical_compoundComputational chemistryAmideStructural rigidityE isomersDipeptideOrganic Chemistryconformational analysisß-turn tendencyRational designGeneral MedicineCarbon-13 NMRSolutionschemistryDFT-GIAO calculationsIRProton NMRPeptidomimeticsPeptides13 C-NMRH-NMRZBiopolymers
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Attendibilità dei modelli per la valutazione dei moduli elastici delle murature suggeriti dalle norme tecniche

2012

In this paper the results of an experimental investigation aimed to the assessment of Young moduli, rigidity moduli and other mechanical properties for different types of masonry are shown. The mechanical characteristics predicted by models proposed by some technical codes were compared against experimental data. This study was motivated by the suggestion of the Masonry Standards Joint Committee's (MSJC) code that, while proposing the use of such models, acknowledges the lack of testing in support of their validation. The experimental investigation has included compressive tests on components (blocks and mortar), diagonal compressive tests and ordinary compressive tests (orthogonally to bed…

Modulus of elasticityTechnical codeBuilding and ConstructionDiagonal compressive testGeotechnical Engineering and Engineering GeologyTechnical codesOrdinary compressive testSettore ICAR/09 - Tecnica Delle CostruzioniOrdinary compressive testsModulus of rigidityDiagonal compressive tests; Masonry; Modulus of elasticity; Modulus of rigidity; Ordinary compressive tests; Technical codes;Safety Risk Reliability and QualityMasonryDiagonal compressive tests
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Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings

1997

Abstract We study quasi-isometries between products of symmetric spaces and Euclidean buildings. The main results are that quasi-isometries preserve the product structure, and that in the irreducible higher rank case, quasi-isometries are at finite distance from homotheties.

Mostow rigidity theoremPure mathematicsEuclidean spaceGeneral MathematicsMathematical analysisGeneral MedicineCurvatureHomothetic transformationEuclidean distanceRigidity (electromagnetism)Number theorySymmetric spaceEuclidean geometryIsometryMathematics::Metric GeometryEuclidean plane isometryMathematicsPublications mathématiques de l'IHÉS
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Gas-filled recoil separator for studies of heavy elements

1995

Abstract A gas-filled recoil separator for the study of heavy elements has been constructed. The separator is of type QDQQ with the first, vertically focusing, quadrupole providing improved matching to the acceptance of the dipole magnet. The separator has been designed also for use in vacuum mode in which case a mass resolving power of ≈ 100 is estimated. The deflection angle is 25° and the radius of curvature is 1850 mm. Maximum beam rigidity is 2.2 T m. In the first experiments, new isotopes in the region Z = 85–90 have been synthesized.

Nuclear and High Energy Physics010308 nuclear & particles physicsChemistrySeparator (oil production)01 natural sciences7. Clean energyRecoil separatorDeflection angleNuclear physicsRigidity (electromagnetism)Dipole magnet0103 physical sciencesQuadrupole010306 general physicsInstrumentationNuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms
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