Search results for "LYN"

showing 10 items of 910 documents

Codimensions of star-algebras and low exponential growth

2020

In this paper we prove that if A is any algebra with involution * satisfying a non-trivial polynomial identity, then its sequence of *-codimensions is eventually non-decreasing. Furthermore, by making use of the *-exponent we reconstruct the only two *-algebras, up to T*-equivalence, generating varieties of almost polynomial growth. As a third result we characterize the varieties of algebras with involution whose exponential growth is bounded by 2.

Involution (mathematics)Pure mathematicsGeneral Mathematics010102 general mathematics0102 computer and information sciences01 natural sciencesSettore MAT/02 - AlgebraExponential growth010201 computation theory & mathematicsBounded functionExponent0101 mathematicspolynomial identity involution growthMathematicsIsrael Journal of Mathematics
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Classifying Algebras with Graded Involutions or Superinvolutions with Multiplicities of their Cocharacter Bounded by One

2020

Let A be superalgebra over a field of characteristic zero and let ∗ be either a graded involution or a superinvolution defined on A. In this paper we characterize the ∗-algebras whose ∗-cocharacter has multiplicities bounded by one, showing a set of ∗-polynomial identities satisfied by such algebras.

Involution (mathematics)Pure mathematicsGeneral Mathematics010102 general mathematics0211 other engineering and technologies021107 urban & regional planning02 engineering and technology01 natural sciencesSuperalgebraSettore MAT/02 - AlgebraSuperinvolutionPolynomial identity cocharacter super involution graded involutionBounded function0101 mathematicsMathematics
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Star-fundamental algebras: polynomial identities and asymptotics

2020

We introduce the notion of star-fundamental algebra over a field of characteristic zero. We prove that in the framework of the theory of polynomial identities, these algebras are the building blocks of a finite dimensional algebra with involution ∗ * . To any star-algebra A A is attached a numerical sequence c n ∗ ( A ) c_n^*(A) , n ≥ 1 n\ge 1 , called the sequence of ∗ * -codimensions of A A . Its asymptotic is an invariant giving a measure of the ∗ * -polynomial identities satisfied by A A . It is well known that for a PI-algebra such a sequence is exponentially bounded and exp ∗ ⁡ ( A ) = lim n → ∞ c n ∗ ( A ) n \exp ^*(A)=\lim _{n\to \infty }\sqrt [n]{c_n^*(A)} can be explicitly compute…

Involution (mathematics)Settore MAT/02 - AlgebraPure mathematicsGrowth Involution Polynomial identityApplied MathematicsGeneral MathematicsANÉIS E ÁLGEBRAS ASSOCIATIVOSMathematics
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Some characterizations of algebras with involution with polynomial growth of their codimensions

2018

Let A be an associative algebra endowed with an involution ∗ of the first kind and let c ∗n (A) denote the sequence of ∗-codimensions of A. In this paper, we are interested in algebras with involution such that the ∗-codimension sequence is polynomially bounded. We shall prove that A is of this kind if and only if it satisfies the same identities of a finite direct sum of finite dimensional algebras with involution A i , each of which with Jacobson radical of codimension less than or equal to one in A i . We shall also relate the condition of having polynomial codimension growth with the sequence of cocharacters and with the sequence of colengths. Along the way, we shall show that the multi…

Involution (mathematics)polynomial growthAlgebra and Number Theory16R50010102 general mathematicsSecondary: 16R10010103 numerical & computational mathematics01 natural sciencesPolynomial identitiesCombinatoricsPrimary: 16W10Polynomial identitieAssociative algebraAlgebras with involution0101 mathematics16R50; algebras with involution; polynomial growth; Polynomial identities; Primary: 16W10; Secondary: 16R10Mathematics
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Interactions of the alternating double stranded copolymer poly(dA-dT).poly(dA-dT) with NiCl2 and CdCl2: solution behaviour

2007

The thermal denaturation of the synthetic high molecular weight double stranded polynucleotide poly(dA-dT) x poly(dA-dT) has been studied in aqueous buffered solution (Tris 1.0 mM; pH 7.8+/-0.2) in the presence of increasing concentrations of either Ni(2+) (borderline cation) or Cd(2+) (soft cation) at four different constant ionic strength values (NaCl), making use of UV and circular dichroism (CD) spectroscopies. The experimental results show that the B-type double helix of the polymer is stabilized against thermal denaturation in the presence of both cations at low concentrations, relative to the systems where only NaCl is present, in the same conditions of ionic strength and pH. The eff…

IonsCircular DichroismModel polynucleotideOsmolar ConcentrationUV-spectroscopyNickel (II) and Cadmium (II) ionThermal denaturationModel polynucleotides; Thermal denaturation; Nickel (II) and Cadmium (II) ions; Circular Dichroism; UV-spectroscopySolutionsCadmium ChloridePoly dA-dTNickelNucleic Acid ConformationThermodynamics
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Lenses on very curved zones of a singular foliation of C2

2018

Abstract We renormalize, using suitable lenses, small domains of a singular holomorphic foliation of C 2 where the curvature is concentrated. At a proper scale, the leaves are almost translates of a graph that we will call profile. When the leaves of the foliations are levels f = λ , where f is a polynomial in 2 variables, this graph is polynomial. Finally we will indicate how our methods may be adapted to study levels of polynomials and 1-forms in C 3 .

Isolated singularity[ MATH ] Mathematics [math]Complex curvePolynomialPure mathematics010102 general mathematicsHolomorphic functionIsolated singularityCurvature01 natural sciencesComplex foliationGraphMSC: 14H20; 14B05; 53C65; 53C120103 physical sciencesFoliation (geology)Profile010307 mathematical physicsGeometry and Topology[MATH]Mathematics [math]0101 mathematicsMathematicsTopology and its Applications
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Kalevalaisen jäsenkorjauksen yhteydet kävelyn biomekaniikkaan ja hermolihasjärjestelmän toimintaan

2017

Rutanen, Petra Maria, 2016. Kalevalaisen jäsenkorjauksen yhteydet kävelyn biomekaniikkaan ja hermolihasjärjestelmän toimintaan. Biomekaniikan pro gradu – tutkielma. Liikuntabiologian laitos. Jyväskylän yliopisto. 59 s. Alaselkäkipua kokee tutkimusten mukaan 80% väestöstä jossain vaiheessa elämäänsä, ja se on suuri terveydellinen ja sosioekonominen taakka. Alaselkäkivusta kärsivillä todetaan usein muutoksia biomekaanisessa toiminnassa sisältäen mm. muutoksia liikemalleissa, hermolihasjärjestelmän toiminnassa, lihasaktiivisuuksissa ja vartalon rotaatiossa. Alaselkäkivusta kärsiville on tehty useita tutkimuksia, joissa interventiona on erilaisia liikunta- tai hoitomuotoja. Tässä tutkimuksessa …

Kalevalainen jäsenkorjausjäsenkorjaushermolihasjärjestelmähermo-lihastoimintaalaselkäkipukipukrooninen kipuselkälihaksetkävelyn liikeanalyysiliikeanalyysikävely
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Learning with the kernel signal to noise ratio

2012

This paper presents the application of the kernel signal to noise ratio (KSNR) in the context of feature extraction to general machine learning and signal processing domains. The proposed approach maximizes the signal variance while minimizes the estimated noise variance in a reproducing kernel Hilbert space (RKHS). The KSNR can be used in any kernel method to deal with correlated (possibly non-Gaussian) noise. We illustrate the method in nonlinear regression examples, dependence estimation and causal inference, nonlinear channel equalization, and nonlinear feature extraction from high-dimensional satellite images. Results show that the proposed KSNR yields more fitted solutions and extract…

Kernel methodSignal-to-noise ratioKernel embedding of distributionsPolynomial kernelbusiness.industryVariable kernel density estimationKernel (statistics)Radial basis function kernelPattern recognitionArtificial intelligencebusinessKernel principal component analysisMathematics2012 IEEE International Workshop on Machine Learning for Signal Processing
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Detection and visualization of physical knots in macromolecules

2010

Abstract This manuscript provides a pedagogical introduction on how to determine and visualize simple physical knots occurring in polymers, proteins and DNA. We explain how the Alexander polynomial is computed and implemented in a simulation code, and how the structure can be simplified beforehand to save computer time. The concept of knottedness can also be extended in a statistical framework to chains which are not closed. The latter is exemplified by comparing statistics of knots in open random walks and closed random loops.

KnotsPolymersComputer scienceStructure (category theory)ProteinsAlexander polynomialPhysics and Astronomy(all)Random walkMathematics::Geometric TopologyAlexander polynomialVisualizationSimple (abstract algebra)Code (cryptography)AlgorithmVisualizationPhysics Procedia
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Vegetation and climate in the eastern Iberian Peninsula during the pre-evaporitic Messinian (late Miocene). Palynological data from the Upper Turolia…

2015

International audience; The present paper reports a complete palynological study of the Upper Turolian sediments outcropping at the Venta del Moro site (eastern Iberian Peninsula). The pollen assemblages observed mainly reflect the local and regional vegetation, which must have formed part of a wetland ecosystem within a general setting of open steppe, as indicated by the great abundance and diversity of herbaceous pollen. This reflects the persistence of open vegetation in the Iberian Peninsula after the Middle Miocene when it became extensive. We here report the most recent record of Disanthus for the Iberian Peninsula. This shrub played an important role in an unusual, edaphically-mediat…

Late MiocenePollen analysisPalynologygeographygeography.geographical_feature_categorySteppePaleontologyOpen vegetationWetlandVegetationLate MiocenePalaeoclimateMediterranean BasinEastern Iberian PeninsulaPaleontology[SDU]Sciences of the Universe [physics]PeninsulaEarth ScienceEcology Evolution Behavior and SystematicsGeologyRiparian zoneReview of Palaeobotany and Palynology
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