Search results for " homogeneous"

showing 10 items of 37 documents

Di- and Tetrairon(III) μ-Oxido Complexes of an N3S-Donor Ligand: Catalyst Precursors for Alkene Oxidations

2019

The new di- and tetranuclear Fe(III) μ-oxido complexes [Fe 4 (μ-O) 4 (PTEBIA) 4 ](CF 3 SO 3 ) 4 (CH 3 CN) 2 ] (1a), [Fe 2 (μ-O)Cl 2 (PTEBIA) 2 ](CF 3 SO 3 ) 2 (1b), and [Fe 2 (μ-O)(HCOO) 2 (PTEBIA) 2 ](ClO 4 ) 2 (MeOH) (2) were prepared from the sulfur-containing ligand (2-((2,4-dimethylphenyl)thio)-N,N-bis ((1-methyl-benzimidazol-2-yl)methyl)ethanamine (PTEBIA). The tetrairon complex 1a features four μ-oxido bridges, while in dinuclear 1b, the sulfur moiety of the ligand occupies one of the six coordination sites of each Fe(III) ion with a long Fe-S distance of 2.814(6) A. In 2, two Fe(III) centers are bridged by one oxido and two formate units, the latter likely formed by methanol oxidati…

MECHANISMFe-S interactionoxidation116 Chemical sciencesThio-rautaSULFURHomogeneous catalysis02 engineering and technology010402 general chemistry01 natural sciencesMedicinal chemistrythioetherCatalysislcsh:Chemistrychemistry.chemical_compoundThioetheriron-oxo complexAcetonitrileta116Fe-S interaction; homogeneous catalysis; iron-oxo complex; oxidation; thioetherOriginal Researchchemistry.chemical_classificationeetteritFUNCTIONAL-MODELCOORDINATIONPEROXIDEAlkeneLigandACTIVE-SITEhapettuminenGeneral Chemistrykompleksiyhdisteet021001 nanoscience & nanotechnology540COPPER-COMPLEXEShomogeneous catalysis0104 chemical sciencesChemistrychemistrylcsh:QD1-999katalyysiACIDOXO0210 nano-technologySelectivityNONHEME IRON CATALYSTSFrontiers in Chemistry
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Imbalance between genomic gain and loss identifies high-risk neuroblastoma patients with worse outcomes

2021

Survival in high-risk neuroblastoma (HR-NB) patients remains poor despite multimodal treatment. We aimed to identify HR-NB patients with worse outcomes by analyzing the genomic instability derived from segmental chromosomal aberrations. We calculated 3 genomic instability indexes for primary tumor SNP array profiles from 127 HR-NB patients: (1) Copy number aberration burden (%gainslength+%losseslength), (2) copy number load (CNL) (%gainslength-%losseslength) and (3) net genomic load (NGL) (%gainsamount-%lossesamount). Tumors were classified according to positive or negative CNL and NGL genomic subtypes. The impact of the genomic instability indexes on overall survival (OS) was assessed with…

Male0301 basic medicineGenome instabilityOncologyCancer ResearchCopy number loadSNPa single nucleotide polymorphism arrayNeuroblastoma0302 clinical medicineHigh risk neuroblastomaSegmental chromosomal aberrationsHR high-riskCNA copy number aberrationTumor biologyCNL copy number loaddNGL decreased net genomic loadlcsh:Neoplasms. Tumors. Oncology. Including cancer and carcinogensPrognosisPrimary tumornCNL negative copy number loadGI genomic instabilityHomogeneous030220 oncology & carcinogenesisMNA MYCN-amplificationFemaleHR-NB high-risk neuroblastomaNB neuroblastomaSNP arrayOriginal articlemedicine.medical_specialtyDNA Copy Number VariationsiNGL increased net genomic loadpCNL positive copy number loadhetMNA heterogeneous MYCN-amplificationlcsh:RC254-282Polymorphism Single NucleotideGenomic InstabilityUHR ultra-high-riskOS overall survivalNet genomic load03 medical and health sciencesSCA segmental chromosomal aberrationInternal medicineNeuroblastomamedicineHumansNGL net genomic loadGenetic Predisposition to DiseaseGenomic imbalanceGenetic Association StudiesEFS event-free survivalProportional Hazards ModelsChromosome AberrationsPloidieshomMNA homogeneous MYCN-amplificationProportional hazards modelbusiness.industryGene AmplificationGenetic Variationmedicine.diseasePatient Outcome AssessmentCopy number aberration burden030104 developmental biologybusinessNeoplasia
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Neuroblastoma after Childhood: Prognostic Relevance of Segmental Chromosome Aberrations, ATRX Protein Status, and Immune Cell Infiltration

2014

AbstractNeuroblastoma (NB) is a common malignancy in children but rarely occurs during adolescence or adulthood. This subgroup is characterized by an indolent disease course, almost uniformly fatal, yet little is known about the biologic characteristics. The aim of this study was to identify differential features regarding DNA copy number alterations, α-thalassemia/mental retardation syndrome X-linked (ATRX) protein expression, and the presence of tumor-associated inflammatory cells. Thirty-one NB patients older than 10 years who were included in the Spanish NB Registry were considered for the current study; seven young and middle-aged adult patients (range 18-60 years) formed part of the c…

MaleCancer ResearchHet heterogeneousGene ExpressionNeuroblastomaImmunophenotypingRegistriesYoung adultNeoplasm MetastasisMLPA multiplex ligation probe amplificationChildIn Situ Hybridization FluorescenceNuclear ProteinsMiddle AgedAYA adolescent and young adultsPrognosislcsh:Neoplasms. Tumors. Oncology. Including cancer and carcinogensNCA numerical chromosome aberrationImmunohistochemistryFemaleSCA segmental chromosome aberrationIHC immunohistochemistryNB neuroblastomaAdultX-linked Nuclear ProteinAdolescentaSNP single nucleotide polymorphism arrayBiologyMalignancyChromosome aberrationPolymorphism Single Nucleotidelcsh:RC254-282ArticleImmunophenotypingYoung AdultLymphocytes Tumor-InfiltratingNeuroblastomacnLOH copy-neutral loss of heterozygositymedicineHumansHom homogeneousATRXNeoplasm StagingChromosome AberrationsDNA Helicasesmedicine.diseaseSpainMNNA MYCN not amplifiedCancer researchFSCA focal segmental chromosome aberrationCD8MNA MYCN amplifiedNeoplasia
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Solutions via double wave ansatz to the 1-D non-homogeneous gas-dynamics equations

2020

Abstract In this paper classes of double wave solutions of the 1D Euler system describing a ideal fluid in the non-homogeneous case have been determined. In order that the analytical procedure under interest to hold, suitable model laws for the source term involved in the governing model were characterized. Finally such a class of exact double wave solutions has been used for solving some problems of interest in nonlinear wave propagation.

PhysicsApplied MathematicsMechanical EngineeringMathematical analysisPerfect fluid02 engineering and technologyGas dynamicsDouble wave solutionsNonlinear wave interactionsEuler system021001 nanoscience & nanotechnologyRiemann problemDouble wave solutions; Hyperbolic systems; Nonlinear wave interactions; Riemann problemTerm (time)Nonlinear wave propagationHyperbolic systems020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsNon homogeneousOrder (group theory)0210 nano-technologySettore MAT/07 - Fisica MatematicaAnsatz
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Interaction-free evolving states of a bipartite system

2014

We show that two interacting physical systems may admit entangled pure or non separable mixed states evolving in time as if the mutual interaction hamiltonian were absent. In this paper we define these states Interaction Free Evolving (IFE) states and characterize their existence for a generic binary system described by a time independent Hamiltonian. A comparison between IFE subspace and the decoherence free subspace is reported. The set of all pure IFE states is explicitly constructed for a non homogeneous spin star system model.

PhysicsQuantum PhysicsQuantum decoherenceBipartite systemPhysical systemFOS: Physical sciencesAtomic and Molecular Physics and OpticsStar systemSeparable spacesymbols.namesakeTheoretical physicsNon homogeneoussymbolsQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)DECOHERENCE FREE SUBSPACESubspace topologySUBRADIANCE
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The algebra of symmetric analytic functions on L∞

2017

We consider the algebra of holomorphic functions on L∞ that are symmetric, i.e. that are invariant under composition of the variable with any measure-preserving bijection of [0, 1]. Its spectrum is identified with the collection of scalar sequences such that is bounded and turns to be separable. All this follows from our main result that the subalgebra of symmetric polynomials on L∞ has a natural algebraic basis.

Power sum symmetric polynomialTriple systemGeneral Mathematics010102 general mathematicsSubalgebraStanley symmetric functionComplete homogeneous symmetric polynomial01 natural sciences010101 applied mathematicsAlgebraSymmetric polynomialComputingMethodologies_DOCUMENTANDTEXTPROCESSINGElementary symmetric polynomial0101 mathematicsRing of symmetric functionsMathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
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Some Inclusion Theorems for Orlicz and Musielak-Orlicz Type Spaces

1995

where K is a homogeneous kernel and f belongs to some KSthe functional space. In these papers the estimates are taken with respect to the KSthe norm of the space. Recently in [2] we obtained analogous estimates for functions belonging to Orlicz or Musielak-Orlicz type spaces L ~, with respect to the canonical modular functional. These results enable us to say that, for example,

Pure mathematicsMusielak-Orlicz spacesApplied MathematicsNorm (mathematics)Mathematical analysisFunctional spaceBirnbaum–Orlicz spaceOrlicz spacesRiemann-Liouville fractional integralHomogeneous kernelOrlicz spaces; Musielak-Orlicz spaces; Riemann-Liouville fractional integral; homogeneous kernelshomogeneous kernelsMathematics
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Remarks about the Besicovitch Covering Property in Carnot groups of step 3 and higher

2016

International audience

Pure mathematicsProperty (philosophy)Applied MathematicsGeneral Mathematicsta111010102 general mathematics[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]16. Peace & justiceHomogeneous quasi-distances01 natural sciencesCarnot groups; Covering theorems; Homogeneous quasi-distances; Mathematics (all); Applied Mathematics010305 fluids & plasmasCombinatoricssymbols.namesakeCarnot groupsCovering theorems0103 physical sciencessymbolsMathematics (all)[MATH]Mathematics [math]0101 mathematicsCarnot cycle[MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG]ComputingMilieux_MISCELLANEOUSMathematicsProceedings of the American Mathematical Society
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A construction of equivariant bundles on the space of symmetric forms

2021

We construct stable vector bundles on the space of symmetric forms of degree d in n+1 variables which are equivariant for the action of SL_{n+1}(C), and admit an equivariant free resolution of length 2. For n=1, we obtain new examples of stable vector bundles of rank d-1 on P^d, which are moreover equivariant for SL_2(C). The presentation matrix of these bundles attains Westwick's upper bound for the dimension of vector spaces of matrices of constant rank and fixed size.

Pure mathematicsRank (linear algebra)General MathematicsVector bundlestable vector bundlesSpace (mathematics)Mathematics - Algebraic GeometryMatrix (mathematics)symmetric formsDimension (vector space)FOS: MathematicsRepresentation Theory (math.RT)Algebraic Geometry (math.AG)Mathematics::Symplectic Geometryhomogeneous varietyMathematicsequivariant resolution14J60quiver representationconstant rank matrixhomogeneous bundleEquivariant mapgroup actionStable vector bundles; symmetric forms; group action; equivariant resolution; constant rank matrix; homogeneous bundle; homogeneous variety; quiver representationMathematics - Representation TheoryResolution (algebra)Vector spaceRevista Matemática Iberoamericana
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The classification of 4-dimensional homogeneous D'Atri spaces revisited

2007

Abstract In this short note we correct the (incomplete) classification theorem from [F. Podesta, A. Spiro, Four-dimensional Einstein-like manifolds and curvature homogeneity, Geom. Dedicata 54 (1995) 225–243], we improve a result from [P. Bueken, L. Vanhecke, Three- and four-dimensional Einstein-like manifolds and homogeneity, Geom. Dedicata 75 (1999) 123–136] and we announce the final solution of the classification problem for 4-dimensional homogeneous D'Atri spaces.

Pure mathematicsRiemannian manifoldHomogeneity (statistics)Mathematical analysisD'Atri spaceRiemannian manifoldCurvatureNaturally reductive Riemannian homogeneous spaceComputational Theory and MathematicsHomogeneousClassification theoremGeometry and TopologyMathematics::Differential GeometryGEOMAnalysisMathematicsDifferential Geometry and its Applications
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