Search results for "LYN"

showing 10 items of 910 documents

MULTIPLICITIES IN THE MIXED TRACE COCHARACTER SEQUENCE OF TWO 3 × 3 MATRICES

2006

We find explicitly the multiplicities in the (mixed) trace cocharacter sequence of two 3 × 3 matrices over a field of characteristic 0 and show that asymptotically they behave as polynomials of seventh degree. As a consequence we obtain also the multiplicities of certain irreducible characters in the cocharacter sequence of the polynomial identities of 3 × 3 matrices.

Symmetric functionsymbols.namesakePure mathematicsPolynomialSequenceTrace (linear algebra)Degree (graph theory)General MathematicssymbolsField (mathematics)Invariant theoryMathematicsHilbert–Poincaré seriesInternational Journal of Algebra and Computation
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On a Continuous Sárközy-Type Problem

2022

Abstract We prove that there exists a constant $\epsilon> 0$ with the following property: if $K \subset {\mathbb {R}}^2$ is a compact set that contains no pair of the form $\{x, x + (z, z^{2})\}$ for $z \neq 0$, then $\dim _{\textrm {H}} K \leq 2 - \epsilon $.

Szemerédi’s theoremfractalsGeneral Mathematicspolynomitpolynomial configurationsHausdorff dimensionfraktaalitmittateoriafinite fieldsharmoninen analyysiFourier transforms of measuresminimeasuresInternational Mathematics Research Notices
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Use of drugs for attrv amyloidosis in the real world: How therapy is changing survival in a non-endemic area

2021

Background: Over the past decade, three new drugs have been approved for the treatment of hereditary amyloid transthyretin (ATTRv) polyneuropathy. The aim of this work was to analyze whether current therapies prolong survival for patients affected by ATTRv amyloidosis. Methods: The study was conducted retrospectively, analyzing the medical records of 105 patients with genetic diagnoses of familial amyloidotic polyneuropathy followed at the two referral centers for the disease in Sicily, Italy. Of these, 71 received disease-modifying therapy, while 34 received only symptomatic treatment or no therapy. Results: The most used treatment in our patient cohort was tafamidis, followed by liver tra…

Tafamidismedicine.medical_specialtySurvivalmedicine.medical_treatmentHereditary transthyretin amyloidosisNeurosciences. Biological psychiatry. NeuropsychiatryDisease030204 cardiovascular system & hematologyLiver transplantationArticle03 medical and health scienceschemistry.chemical_compound0302 clinical medicineNon-V30MInternal medicineATTRvPolyneuropathyMedicineATTRv; hereditary transthyretin amyloidosis; inotersen; non-V30M; patisiran; polyneuropathy; survival; tafamidis; patisiran; inotersenbiologybusiness.industryGeneral NeuroscienceAmyloidosisMedical recordmedicine.diseaseTafamidisTransthyretinchemistryCohortbiology.proteinPatisiranSettore MED/26 - NeurologiabusinessPolyneuropathy030217 neurology & neurosurgeryRC321-571Inotersen
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Learning non-linear time-scales with kernel -filters

2009

A family of kernel methods, based on the @c-filter structure, is presented for non-linear system identification and time series prediction. The kernel trick allows us to develop the natural non-linear extension of the (linear) support vector machine (SVM) @c-filter [G. Camps-Valls, M. Martinez-Ramon, J.L. Rojo-Alvarez, E. Soria-Olivas, Robust @c-filter using support vector machines, Neurocomput. J. 62(12) (2004) 493-499.], but this approach yields a rigid system model without non-linear cross relation between time-scales. Several functional analysis properties allow us to develop a full, principled family of kernel @c-filters. The improved performance in several application examples suggest…

TelecomunicacionesSupport vector machinesbusiness.industryCognitive NeuroscienceNonlinear System IdentificationPattern recognitionKernel principal component analysisComputer Science ApplicationsKernel methodMercer's KernelArtificial IntelligenceVariable kernel density estimationString kernelKernel embedding of distributionsPolynomial kernelRadial basis function kernelGamma-FiltersArtificial intelligenceTree kernelbusinessMathematicsNeurocomputing
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Global extrapolation with a parallel splitting method

1992

Extrapolation with a parallel splitting method is discussed. The parallel splitting method reduces a multidimensional problem into independent one-dimensional problems and can improve the convergence order of space variables to an order as high as the regularity of the solution permits. Therefore, in order to match the convergence order of the space variables, a high order method should also be used for the time integration. Second and third order extrapolation methods are used to improve the time convergence and it was found that the higher order extrapolation method can produce a more accurate solution than the lower order extrapolation method, but the convergence order of high order extr…

Third orderUnit circleHigh Energy Physics::LatticeApplied MathematicsNumerical analysisConvergence (routing)Mathematical analysisExtrapolationSpace (mathematics)Unit squareMinimum polynomial extrapolationMathematicsNumerical Algorithms
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Electrophysiologic evaluation of phrenic nerve and diaphragm function after coronary bypass surgery: Prospective study of diabetes and other risk fac…

2006

Objective Phrenic neuropathy after coronary artery bypass grafting has been related to various risk factors with conflicting results. The aim of this study was to assess the incidence, characteristics, and clinical consequences of phrenic neuropathy and the influence of diabetes and other risk factors. Methods We conducted an observational, prospective study of parallel groups including 94 consecutive patients subjected to coronary artery bypass grafting, half of them with diabetes and associated polyneuropathy . Electrophysiologic study of phrenic nerve conduction as the reference method, chest radiography, diaphragm ultrasound, and functional respiratory tests were performed 24 to 48 hour…

ThoraxMalePulmonary and Respiratory MedicineDiaphragmInternal thoracic arteryPhrenic Nerve InjuryDiabetes ComplicationsRisk Factorsmedicine.arteryDiabetes mellitusmedicineDiabetes MellitusHumansProspective StudiesRisk factorCoronary Artery BypassPhrenic nervebusiness.industryPeripheral Nervous System DiseasesMiddle Agedmedicine.diseaseElectrophysiologyPhrenic NerveBypass surgeryAnesthesiaFemaleSurgerybusinessCardiology and Cardiovascular MedicinePolyneuropathyThe Journal of Thoracic and Cardiovascular Surgery
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Alterations of Activities of Ribonucleases and Polyadenylate Polymerase in Synchronized Mouse L Cells

1977

The activities of the three known catabolic and the one anabolic polyadenylate enzymes have been determined in synchronized L5178y cells: endoribonuclease, exoribonuclease, 5'-nucleotidase and poly(A) polymerase (Mg2+-dependent). These four enzymes were found primarily in the nuclear fraction. The activity of poly(A) polymerase remains essentially constant during the transition from G1 to S phase. However, the poly(A) catabolic enzyme activities increase parallel with DNA synthesis; the endoribonuclease activity increases 4-fold during G1 to S phase, the exoribonuclease and the nucleotidase activities increasing 30-fold and 16-fold. During the S phase the poly(A)-degrading enzymes are far m…

Time FactorsEndoribonuclease activityEndoribonucleaseMitosisBiochemistryCell LineStructure-Activity RelationshipL CellsRibonucleasesExoribonucleaseNucleotidasePolyadenylatePolymerasechemistry.chemical_classificationbiologyDNA synthesisPolynucleotide AdenylyltransferaseNucleotidyltransferasesMolecular biologyMolecular WeightKineticsEnzymeBiochemistrychemistrybiology.proteinCell DivisionEuropean Journal of Biochemistry
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The Relationship Between Tooth Size Discrepancy and Archform Classification in Orthodontic Patients

2015

Background: To determine the relationship between clinically significant tooth size discrepancies (TSD) and archform classification in orthodontic patients. Material and Methods: Two hundred and forty consecutive sets of pre-treatment orthodontic study models were scanned and landmarked. All models had permanent teeth erupted from first molar to first molar in both arches. Sixty sets of images were classified into two groups of 30 according to the presence (group 1) or absence (group 2) of a clinically significant overall or anterior TSD (>2 SD from Bolton’s original means). Mean upper and lower archforms were created for each group using a fourth degree polynomial curve. Upper and lower ar…

Tooth size discrepancyOdontologíaBioinformaticsMandibular first molarsymbols.namesakeCohen's kappaStatistical significanceBolton discrepancyMedicineTOOTH SIZEGeneral DentistryFisher's exact testPermanent teethOrthodonticsarchform classification.business.industryResearchEsthetic Dentistry:CIENCIAS MÉDICAS [UNESCO]Ciencias de la saludConfidence intervalDentistryUNESCO::CIENCIAS MÉDICASsymbolsTooth Sizepolynomial curvedigital modelsbusinessArchform
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Fractional viscoelastic beam under torsion

2017

Abstract This paper introduces a study on twisted viscoelastic beams, having considered fractional calculus to capture the viscoelastic behaviour. Further another novelty of this paper is extending a recent numerical approach, labelled line elementless method (LEM), to viscoelastic beams. The latter does not require any discretization neither in the domain nor in the boundary. Some numerical applications have been reported to demonstrate the efficiency and accuracy of the method.

TorsionNumerical AnalysisDiscretizationApplied MathematicsNumerical analysisMathematical analysisTorsion (mechanics)Viscoelasticity02 engineering and technologyFractional calculu01 natural sciencesViscoelasticityFractional calculus010101 applied mathematicsModeling and simulationAnalytic functionHarmonic polynomial020303 mechanical engineering & transports0203 mechanical engineeringModeling and SimulationViscoelastic beam0101 mathematicsNumerical AnalysiMathematicsAnalytic functionCommunications in Nonlinear Science and Numerical Simulation
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New coordination polymers based on a novel polynitrile ligand: Synthesis, structure and magnetic properties of the series [M(tcnoetOH)2(4,4′-bpy)(H2O…

2008

International audience; A novel polynitrile anionic ligand, tcnoetOH−(=[(NC)2CC(OCH2CH2OH)C(CN)2]−), has been synthesized by a one-pot reaction from a cyclic acetal and malononitrile. This ligand has been successfully used to prepare, with 4,4′-bpy as co-ligand, a novel series of coordination polymers formulated as [M(tcnoetOH)2(4,4′-bpy)(H2O)2] with M(II) = Fe (1), Co (2) and Ni (3). These isostructural compounds present a linear chain structure consisting of octahedrally coordinated metal ions bridged by trans 4,4′-bpy ligands. The coordination sphere of the metal ions is completed with two terminal tcnoetOH− ligand and two water molecules. The magnetic properties indicate that the three …

Transition metal complexesCoordination sphere010405 organic chemistryChemistryLigandMetal ions in aqueous solutionInorganic chemistryZero field splitting010402 general chemistry01 natural sciences0104 chemical sciencesInorganic ChemistryParamagnetismCrystallographychemistry.chemical_compoundPolynitrileMagnetic propertiesMaterials ChemistryMolecule[CHIM]Chemical SciencesPhysical and Theoretical ChemistryIsostructuralChain complexesMalononitrile
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