Search results for "LYN"

showing 10 items of 910 documents

Hepta- and tetra-nuclear copper(II) clusters self-assembled by cyano- and azacyano-carbanions

2015

International audience; Two polynuclear copper(II) complexes with hydroxido-bridging ligands and polycyanide units, [Cu{Cu(tn)}6(μ2-OH)2(μ3-OH)4Cl2](tcm)4Cl2·2H2O (1) and [{Cu(bpy)}4(OH)4(dca)2](dca)2·bpy·2H2O (2) (tn = NH2(CH2)3NH2; tcm− = [C(CN)3]−, bpy = 2,2′-bipyridyl, dca− = [N(CN)2]−) have been prepared by one-pot reactions. The structure of 1 consists of a centrosymmetric heptanuclear ion [Cu{Cu(tn)}6(μ2-OH)2(μ3-OH)4Cl2]6+. The tcm− and the halide anions which appear as counter-ions in the formula unit, play an important role in the stabilization of the complex since the hydrogen bonding between nitrogen atoms of the tcm− anion and halide anions, and hydrogen atoms of the terminal wa…

Hydrogen bondingCyanocarbanion ligandsHydrogenPolynuclear clusters010405 organic chemistryStereochemistryHydrogen bondchemistry.chemical_element[CHIM.MATE]Chemical Sciences/Material chemistryCrystal structure010402 general chemistry01 natural sciencesCopperMagnetic susceptibility0104 chemical sciencesInorganic ChemistryCrystallographychemistryFormula unitMagnetic propertiesMaterials ChemistryMoleculePhysical and Theoretical ChemistryCopper complexesCarbanionPolyhedron
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Crystal structures of 2,2′-bipyridin-1-ium 1,1,3,3-tetracyano-2-ethoxyprop-2-en-1-ide and bis(2,2′-bipyridin-1-ium) 1,1,3,3-tetracyano-2-(dicyanometh…

2015

In each of the title compounds, the anion shows evidence of extensive electronic delocalization. A combination of N—H⋯N and X—H⋯N hydrogen bonds links the ions in (I) into a ribbon of alternating centrosymmetric (18) and (26) rings, and those in (II) into simple (7) chains of alternating cations and anion with further cations pendent from the chain.

Hydrogen bondingcrystal structurebipyridinium cationsCrystal structureDihedral angleRing (chemistry)Research CommunicationsIonchemistry.chemical_compoundDelocalized electronpolynitrile anionsPropaneQDGeneral Materials ScienceEthyl groupmol­ecular conformationta116Crystallographyta114Hydrogen bondCrystal structureDASGeneral ChemistryMolecular conformationhydrogen bondingQD ChemistryCondensed Matter PhysicsBipyridinium cationsCrystallographymolecular conformationMol­ecular conformationchemistryQD901-999Polynitrile anionsActa Crystallographica Section E Crystallographic Communications
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An Efficient Algorithm for Helly Property Recognition in a Linear Hypergraph

2001

International audience; In this article we characterize bipartite graphs whose associated neighborhood hypergraphs have the Helly property. We examine incidence graphs both hypergraphs and linear hypergraphs and we give a polynomial algorithm to recognize if a linear hypergraph has the Helly property.

HypergraphProperty (philosophy)General Computer Science[ INFO.INFO-NI ] Computer Science [cs]/Networking and Internet Architecture [cs.NI]0102 computer and information sciences02 engineering and technologyComputer Science::Computational Geometry01 natural sciencesPolynomial algorithmTheoretical Computer ScienceCombinatorics[INFO.INFO-NI]Computer Science [cs]/Networking and Internet Architecture [cs.NI][ INFO.INFO-DC ] Computer Science [cs]/Distributed Parallel and Cluster Computing [cs.DC]Computer Science::Discrete Mathematics[ INFO.INFO-TI ] Computer Science [cs]/Image Processing0202 electrical engineering electronic engineering information engineeringMathematics::Metric GeometryComputingMilieux_MISCELLANEOUSMathematicsIncidence (geometry)Discrete mathematicsMathematics::CombinatoricsEfficient algorithm16. Peace & justice010201 computation theory & mathematics[INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV]Bipartite graph020201 artificial intelligence & image processing[INFO.INFO-DC]Computer Science [cs]/Distributed Parallel and Cluster Computing [cs.DC]Computer Science(all)Electronic Notes in Theoretical Computer Science
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On an Inequality for Legendre Polynomials

2020

This paper is concerned with the orthogonal polynomials. Upper and lower bounds of Legendre polynomials are obtained. Furthermore, entropies associated with discrete probability distributions is a topic considered in this paper. Bounds of the entropies which improve some previously known results are obtained in terms of inequalities. In order to illustrate the results obtained in this paper and to compare them with other results from the literature some graphs are provided.

Inequalitylcsh:MathematicsGeneral Mathematicsmedia_common.quotation_subject010102 general mathematicsGegenbauerlcsh:QA1-939Legendre01 natural sciencesChebyshev filterUpper and lower bounds010101 applied mathematicsChebyshevOrthogonal polynomialsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputer Science (miscellaneous)Probability distributionOrder (group theory)Applied mathematics0101 mathematicsEngineering (miscellaneous)Legendre polynomialshypergeometric representationmedia_commonMathematicsMathematics
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Acid Titrations of poly(dG-dC).poly(dG-dC) in Aqueous Solution and in a w/o Microemulsion

2005

The model polynucleotide poly(dG-dC).poly(dG-dC) (polyGC) was titrated with a strong acid (HCl) in aqueous unbuffered solutions and in the quaternary w/o microemulsion CTAB/n-pentanol/n-hexane/water. The titrations, performed at several concentrations of NaCl in the range 0.005 to 0.600 M, were followed by recording the modifications of the electronic absorption and of the CD spectra (210or = lambdaor =350 nm) upon addition of the acid. In solution, the polynucleotide undergoes two acid-induced transitions, neither of which corresponds to denaturation of the duplex to single coil. The first transition leads to the Hoogsteen type synG.C+ duplex, while the second leads to the C+.C duplex. The…

Inorganic chemistryAnalytical chemistrySalt (chemistry)Sodium ChloridePolydeoxyribonucleotidesStructural BiologyMicroemulsionDenaturation (biochemistry)Molecular Biologychemistry.chemical_classificationAqueous solutionChemistryCircular Dichroismacid titrationWaterGeneral MedicineHydrogen-Ion ConcentrationmicroemulsionSolutionsIonic strengthPolynucleotideNucleic Acid ConformationEmulsionsSpectrophotometry UltravioletTitrationPolyGCAbsorption (chemistry)aqueous solutionJournal of Biomolecular Structure and Dynamics
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Alkaline titrations of poly(dG-dC).poly(dG-dC): microemulsion versus solution behaviour

2007

PolyGC was titrated with a strong base in the presence of increasing concentrations of NaCl (from 0.00 to 0.60M) either in water solution or with the polynucleotide solubilized in the aqueous core of reverse micelles, i.e., the cationic quaternary water-in-oil microemulsion CTAB/n-hexane/n-pentanol/water. The results for matched samples in the two media were compared. CD and UV spectroscopies and, for the solution experiments, pH measurements were used to follow the course of deprotonation. In both media the primary effect of the addition of base was denaturation of the polynucleotide, reversible by back-titration with a strong acid. In solution, the apparent pK(a) of the transition decreas…

Inorganic chemistryPolynucleotidesPolynucleotides; Alkaline titration; Reverse micelles; SpectroscopiesMicellepolynucleotideDeprotonationPolydeoxyribonucleotidesStructural Biologyalkaline titrationDenaturation (biochemistry)MicroemulsionMolecular BiologyAqueous solutionChemistryCetrimoniumCircular DichroismspectroscopiesGeneral MedicineHydrogen-Ion ConcentrationSolutionsFreeze Dryingreverse micelleIonic strengthPolynucleotideCetrimonium CompoundsNucleic Acid ConformationTitrationEmulsionsReverse micelles
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Some topological invariants for three-dimensional flows

2001

We deal here with vector fields on three manifolds. For a system with a homoclinic orbit to a saddle-focus point, we show that the imaginary part of the complex eigenvalues is a conjugacy invariant. We show also that the ratio of the real part of the complex eigenvalue over the real one is invariant under topological equivalence. For a system with two saddle-focus points and an orbit connecting the one-dimensional invariant manifold of those points, we compute a conjugacy invariant related to the eigenvalues of the vector field at the singularities. (c) 2001 American Institute of Physics.

Invariant polynomialApplied MathematicsMathematical analysisInvariant manifoldGeneral Physics and AstronomyStatistical and Nonlinear PhysicsFinite type invariantConjugacy classHeteroclinic orbitHomoclinic orbitInvariant (mathematics)Mathematical PhysicsCenter manifoldMathematicsChaos: An Interdisciplinary Journal of Nonlinear Science
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Cooperative Inventory control

2005

In multi-retailer inventory control the possibility of sharing setup costs motivates communication and coordination among the retailers. We solve the problem of finding suboptimal distributed reordering policies that minimize setup, ordering, storage, and shortage costs incurred by the retailers over a finite horizon. Neuro-dynamic programming (NDP) reduces the computational complexity of the solution algorithm from exponential to polynomial on the number of retailers.

Inventory controlConsensus protocol; Inventory level; Nash equilibrium; Setup cost; Supply chain;Inventory levelPolynomialMathematical optimizationComputational complexity theoryComputer scienceSetup costSupply chainEconomic shortageFinite horizonSupply chainConsensus protocolNash equilibriumExponential functionComputingMilieux_GENERALsymbols.namesakeNash equilibriumsymbols
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Polynomial growth and star-varieties

2016

Abstract Let V be a variety of associative algebras with involution over a field F of characteristic zero and let c n ⁎ ( V ) , n = 1 , 2 , … , be its ⁎-codimension sequence. Such a sequence is polynomially bounded if and only if V does not contain the commutative algebra F ⊕ F , endowed with the exchange involution, and M, a suitable 4-dimensional subalgebra of the algebra of 4 × 4 upper triangular matrices. Such algebras generate the only varieties of ⁎-algebras of almost polynomial growth, i.e., varieties of exponential growth such that any proper subvariety is polynomially bounded. In this paper we completely classify all subvarieties of the ⁎-varieties of almost polynomial growth by gi…

Involution (mathematics)Algebra and Number TheorySubvariety010102 general mathematicsSubalgebraStar-codimensionTriangular matrixStar-polynomial identitie010103 numerical & computational mathematicsGrowth01 natural sciencesCombinatoricsSettore MAT/02 - AlgebraExponential growthBounded function0101 mathematicsCommutative algebraAssociative propertyMathematics
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Superalgebras with Involution or Superinvolution and Almost Polynomial Growth of the Codimensions

2018

Let A be a superalgebra with graded involution or superinvolution ∗ and let $c_{n}^{*}(A)$, n = 1,2,…, be its sequence of ∗-codimensions. In case A is finite dimensional, in Giambruno et al. (Algebr. Represent. Theory 19(3), 599–611 2016, Linear Multilinear Algebra 64(3), 484–501 2016) it was proved that such a sequence is polynomially bounded if and only if the variety generated by A does not contain the group algebra of $\mathbb {Z}_{2}$ and a 4-dimensional subalgebra of the 4 × 4 upper-triangular matrices with suitable graded involutions or superinvolutions. In this paper we study the general case of ∗-superalgebras satisfying a polynomial identity. As a consequence we classify the varie…

Involution (mathematics)Multilinear algebraInvolutionSubvarietySuperinvolutionGeneral Mathematics010102 general mathematicsSubalgebra0211 other engineering and technologies021107 urban & regional planning02 engineering and technologyGroup algebraGrowthGrowth; Involution; Polynomial identity; SuperinvolutionPolynomial identity01 natural sciencesSuperalgebraCombinatoricsSettore MAT/02 - AlgebraExponential growthBounded function0101 mathematicsMathematics
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