Search results for " complex"

showing 10 items of 3391 documents

Complex multiplication, Griffiths-Yukawa couplings, and rigidity for families of hypersurfaces

2003

Let M(d,n) be the moduli stack of hypersurfaces of degree d > n in the complex projective n-space, and let M(d,n;1) be the sub-stack, parameterizing hypersurfaces obtained as a d fold cyclic covering of the projective n-1 space, ramified over a hypersurface of degree d. Iterating this construction, one obtains M(d,n;r). We show that M(d,n;1) is rigid in M(d,n), although the Griffiths-Yukawa coupling degenerates for d<2n. On the other hand, for all d>n the sub-stack M(d,n;2) deforms. We calculate the exact length of the Griffiths-Yukawa coupling over M(d,n;r), and we construct a 4-dimensional family of quintic hypersurfaces, and a dense set of points in the base, where the fibres ha…

Algebra and Number TheoryDegree (graph theory)Mathematics - Complex Variables14D0514J3214D07Complex multiplicationYukawa potentialRigidity (psychology)14J70ModuliCombinatoricsAlgebraMathematics - Algebraic Geometry14J70; 14D05; 14D07; 14J32HypersurfaceMathematics::Algebraic GeometryMathematikFOS: MathematicsGeometry and TopologyComplex Variables (math.CV)Algebraic Geometry (math.AG)Stack (mathematics)Mathematics
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Relative principal congruences in congruence-modular quasivarieties

1998

The problem of definability of relative principal congruences in relatively congruence modular (RCM) quasivarieties is investigated. The RCM quasivarieties are characterized in terms of parameterized families of finite sets of pairs of terms which define relative principal congruences.

Algebra and Number TheoryMathematics::General Mathematicsbusiness.industryMathematics::Number TheoryMathematics::Rings and AlgebrasPrincipal (computer security)Mathematics::General TopologyParameterized complexityModular designCongruence relationAlgebraMathematics::LogicCongruence (manifolds)Algebra over a fieldbusinessFinite setMathematicsAlgebra Universalis
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Algebraic and logical characterizations of deterministic linear time classes

1997

In this paper an algebraic characterization of the class DLIN of functions that can be computed in linear time by a deterministic RAM using only numbers of linear size is given. This class was introduced by Grandjean, who showed that it is robust and contains most computational problems that are usually considered to be solvable in deterministic linear time.

AlgebraClass (set theory)Turing machinesymbols.namesakeGlobal functionsymbolsComputational problemBinary stringsAlgebraic numberCharacterization (mathematics)Time complexityMathematics
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Paths Coloring Algorithms in Mesh Networks

2003

In this paper, we will consider the problem of coloring directed paths on a mesh network. A natural application of this graph problem is WDM-routing in all-optical networks. Our main result is a simple 4-approximation algorithm for coloring line-column paths on a mesh. We also present sharper results when there is a restriction on the path lengths. Moreover, we show that these results can be extended to toroidal meshes and to line-column or column-line paths.

AlgorithmicsMesh networkingPath (graph theory)Approximation algorithmPolygon meshFractional coloringTelecommunications networkAlgorithmTime complexityMathematics
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Insights into the decomposition pathway of a lutetium alkylamido complex via intramolecular C–H bond activation

2017

Abstract Synthesis, characterization and reaction chemistry of lutetium alkylamido LLu(CH2SiMe3)(NHCPh3) (2), L = 2,5-[Ph2P=N(4-iPrC6H4)]2N(C4H2)–, is reported. Complex 2 undergoes cyclometalation of the NHCPh3 ligand at elevated temperatures to produce the orthometalated complex LLu(κ2−N,C-(NHCPh2(C6H4))) (3) which converts to 0.5 equivalents of bis(amido) LLu(NHCPh3)2 (4) upon heating at 80 °C for 24 h. Reaction of complex 2 with 4-dimethylaminopyridine (DMAP) does not promote alkane elimination nor imido formation. A kinetic analysis of the thermal decomposition of complex 2, supported by deuterium labelling studies and computational analysis (PBE0/def2-TZVP/SDD(Lu)), indicate direct Csp…

Alkanechemistry.chemical_classificationC h bond010405 organic chemistryLigandStereochemistryOrganic ChemistryThermal decompositionchemistry.chemical_element010402 general chemistry01 natural sciencesBiochemistryLutetium3. Good health0104 chemical scienceslutetiumInorganic ChemistryDecomposition pathwaychemistryDeuteriumIntramolecular forceMaterials Chemistrycoordination complexesPhysical and Theoretical Chemistryta116Journal of Organometallic Chemistry
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Measuring the Relative Reactivity of the Carbon-Hydrogen Bonds of Alkanes as Nucleophiles

2018

We report quantitative measurements of the relative reactivities of a series of C-H bonds of gaseous or liquid CnH2n+2 alkanes (n = 1-8, 29 different C-H bonds) towards insitu generated electrophiles (copper, silver, and rhodium carbenes), with methane as the reference. This strategy surpasses the drawback of previous model reactions of alkanes with strong electrophiles suffering from C-C cleavage processes, which precluded direct comparison of the relative reactivities of alkane C-H bonds.

Alkanechemistry.chemical_classificationC-H bond functionalization010405 organic chemistryHydrogen bondNucleophilicitychemistry.chemical_elementGeneral MedicineGeneral Chemistry010402 general chemistry01 natural sciencesMedicinal chemistryCatalysis0104 chemical scienceschemistryNucleophileAlkanes[CHIM.COOR]Chemical Sciences/Coordination chemistryReactivity (chemistry)ElectrophilicityCarbonMetal carbene complexes
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The hydrothermal system of the Domuyo volcanic complex (Argentina): A conceptual model based on new geochemical and isotopic evidences

2016

The Domuyo volcanic complex (Neuquén Province, Argentina) hosts one of the most promising geothermal systems of Patagonia, giving rise to thermal manifestations discharging hot and Cl−-rich fluids. This study reports a complete geochemical dataset of gas and water samples collected in three years (2013, 2014 and 2015) from the main fluid discharges of this area. The chemical and isotopic composition (δD-H2O and δ18O-H2O) of waters indicates that rainwater and snow melting are the primary recharge of a hydrothermal reservoir located at relative shallow depth (400–600 m) possibly connected to a second deeper (2–3 km) reservoir. Reactive magmatic gases are completely scrubbed by the hydrotherm…

Alternative Energy Source010504 meteorology & atmospheric sciencesHydrothermal FluidGeochemistryAquifer010502 geochemistry & geophysics01 natural sciencesHydrothermal circulationRainwater harvestingDomuyo Volcanic ComplexCiencias de la Tierra y relacionadas con el Medio AmbienteGeothermometryGeochemistry and PetrologyGeomorphologyGeothermal gradientCiencias Exactas y NaturalesGeothermal System0105 earth and related environmental sciencesgeographygeography.geographical_feature_categoryGroundwater rechargeDilutionGeophysicsVolcanoMagmaMeteorología y Ciencias AtmosféricasGeologyCIENCIAS NATURALES Y EXACTAS
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Mechanism of anionic polymerization of (meth)acrylates in the presence of aluminium alkyls, 1. 13C NMR studies of model compounds in toluene

1994

The bimetallic ate complex [(CH 3 ) 2 C=C(OEt)(O - AlR 3 )]Li + is regarded to be the model of the active centre of the polymerization of methyl methacrylate in the presence of aluminium alkyls. This complex is detectable by 13 C NMR up to 273 K. At ambient temperature irreversible decomposition takes place. Apart from the formation of the ate complex, excess aluminium chloride coordinates to the ester carbonyl groups of both the monomer and the polymer chain

Aluminium chloridePolymers and PlasticsOrganic Chemistrychemistry.chemical_elementCarbon-13 NMRAte complexchemistry.chemical_compoundMonomerAnionic addition polymerizationchemistryPolymerizationAluminiumPolymer chemistryMaterials ChemistrymedicineMethyl methacrylatemedicine.drugMacromolecular Rapid Communications
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On the formation of inclusion complexes at the solid/liquid interface of anchored temperature-responsive PNIPAAM diblock copolymers with γ-cyclodextr…

2017

The thermal responsive behavior of adsorbed layers of diblock copolymers of poly(N-isopropylacrylamide) (PNIPAAM) and poly((3-acrylamidopropyl)trimethylammonium chloride) (PAMPTMA(+)) with γ-cyclodextrin (γ-CD) at the solid/liquid interface has been investigated using three in situ techniques: null ellipsometry, quartz–crystal microbalance with dissipation monitoring, and neutron reflectometry. The measurements provided information about the adsorbed amounts, the layer thickness, hydration and viscoelastic properties, and the interfacial structure and composition. The copolymers adsorb to silica with the cationic PAMPTMA(+) blocks sitting as anchors in a flat conformation and the PNIPAAM ch…

AmidePolymers and PlasticsBlock copolymerReflectometerReflection02 engineering and technology01 natural sciencessupramolecular chemistryquartz crystal microbalancechemistry.chemical_compoundColloid and Surface ChemistryEllipsometryViscoelasticity Inclusion complexCopolymerMaterials ChemistryPoly (n isopropylacrylamide)Poly(N-isopropylacrylamide)Settore CHIM/02 - Chimica Fisicachemistry.chemical_classification/dk/atira/pure/subjectarea/asjc/1600/1606Reflectometry/dk/atira/pure/subjectarea/asjc/1500/1505Cyclodextrinunclassified drug Article021001 nanoscience & nanotechnologyThermoresponsive block copolymerpriority journalsolidpolymerizationPoly(N-isopropylacrylamide)synthesiNeutron reflectometrypolyrotaxane0210 nano-technologyellipsometryMaterials science/dk/atira/pure/subjectarea/asjc/2500/2505/dk/atira/pure/subjectarea/asjc/2500/2507poly(n isopropylacrylamide)010402 general chemistryLower critical solution temperatureAcrylic monomeratom transfer radical polymerizationAdsorptioncomplex formationPolymer chemistryCyclodextrinliquidPhysical and Theoretical ChemistrySolid/liquid interfaceThermo-responsive Hydrogels copolymerneutron reflectometryInclusion complexgamma cyclodextrinCationic polymerization0104 chemical sciencessolid liquid interfacechemistryChemical engineeringInvited ArticleColloid and Polymer Science
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New chiral α-aminophosphine oxides and sulfides: an unprecedented rhodium-catalyzed ligand epimerization

2001

International audience; New chiral α-aminophosphine oxide N,P(O) and sulfide N,P(S) ligands have been prepared in one-pot syntheses by addition of Ph2PH to (S)-PhCH[double bond, length half m-dash]NCH(Ph)CH3, followed by oxidation with O2 or S8. Crystallization from cold methanol leads to the isolation of an enantiomerically pure single N,P(O) diastereomer and to a 1 : 1 mixture of the two N,P(S) diastereomers. The coordination chemistry of these ligands with [RhCl(COD)]2 and [RhCl(CO)2]2 has been investigated under argon and syngas. At high temperatures, a P–C oxidative addition of the N,P(O) ligand followed by imine elimination leads to several hydrido rhodium species. The complexes conta…

AminophosphinesIminechemistry.chemical_element010402 general chemistry01 natural sciencesMedicinal chemistryCatalysisCoordination complexRhodiumCatalysischemistry.chemical_compoundEpimerizationMaterials ChemistryOrganic chemistryRhodium[CHIM.COOR]Chemical Sciences/Coordination chemistrychemistry.chemical_classification010405 organic chemistryLigandPhosphine oxides and sulfidesDiastereomerGeneral ChemistryOxidative addition0104 chemical scienceschemistryHydroformylationHydroformylation
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