Search results for "Variant"

showing 10 items of 1267 documents

Extending the sGLOH descriptor

2015

This paper proposes an extension of the sGLOH keypoint descriptor [3] which improves its robustness and discriminability. The sGLOH descriptor can handle discrete rotations by a cyclic shift of its elements thanks to its circular structure, but its performance can decrease when the keypoint relative rotation is in between two sGLOH discrete rotations. The proposed extension couples together two sGLOH descriptors for the same patch with different rotations in order to cope with this issue and it can be also applied straightly to the sCOr and sGOr matching strategies of sGLOH. Experimental results show a consistent improvement of the descriptor discriminability, while different setups can be …

Keypoint descriptorMatching (graph theory)Settore INF/01 - InformaticaComputer scienceGLOHStructure (category theory)Scale-invariant feature transformSGLOHExtension (predicate logic)Keypoint descriptor image matching rotation invarianceRunning timeTask (project management)Robustness (computer science)SIFTMatchingAlgorithm
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Khovanov homology for signed divides

2009

The purpose of this paper is to interpret polynomial invariants of strongly invertible links in terms of Khovanov homology theory. To a divide, that is a proper generic immersion of a finite number of copies of the unit interval and circles in a [math] –disc, one can associate a strongly invertible link in the [math] –sphere. This can be generalized to signed divides: divides with [math] or [math] sign assignment to each crossing point. Conversely, to any link [math] that is strongly invertible for an involution [math] , one can associate a signed divide. Two strongly invertible links that are isotopic through an isotopy respecting the involution are called strongly equivalent. Such isotopi…

Khovanov homologyPure mathematicsDivides[ MATH.MATH-AT ] Mathematics [math]/Algebraic Topology [math.AT]Homology (mathematics)01 natural scienceslaw.inventionMorse signed dividessymbols.namesakelawEuler characteristic0103 physical sciencesFOS: MathematicsAlgebraic Topology (math.AT)Mathematics - Algebraic Topology0101 mathematicsInvariant (mathematics)Finite setMathematicsKhovanov homology010102 general mathematics16. Peace & justiceInvertible matrix57M27[MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT]IsotopysymbolsStrongly invertible links010307 mathematical physicsGeometry and TopologyVector space
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INVOLUTIONS ON KNOT GROUPS AND VARIETIES OF REPRESENTATIONS IN A LIE GROUP

2002

We prove the existence of a rationalisation [Formula: see text] of a classical or high-dimensional knot group Π which admits an involution if the Alexander polynomials of the knot are reciprocal. Using the group [Formula: see text] and its involution, we study the local structure, in the neighbourhood of an abelian representation, of the space of representation of the knot group Π in a a Lie group. We apply these results to the groups of classical prime knots up to 10 crossings.

Knot complementAlgebraPure mathematicsAlgebra and Number TheoryKnot invariantKnot groupQuantum invariantSkein relationTricolorabilityMathematics::Geometric TopologyMathematicsKnot theoryTrefoil knotJournal of Knot Theory and Its Ramifications
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Invariant rotational curves in Sitnikov's Problem

1993

The Sitnikov's Problem is a Restricted Three-Body Problem of Celestial Mechanics depending on a parameter, the eccentricity,e. The Hamiltonian,H(z, v, t, e), does not depend ont ife=0 and we have an integrable system; ife is small the KAM Theory proves the existence of invariant rotational curves, IRC. For larger eccentricities, we show that there exist two complementary sequences of intervals of values ofe that accumulate to the maximum admissible value of the eccentricity, 1, and such that, for one of the sequences IRC around a fixed point persist. Moreover, they shrink to the planez=0 ase tends to 1.

Kolmogorov–Arnold–Moser theoremApplied MathematicsMathematical analysisKepler's laws of planetary motionAstronomy and AstrophysicsGeometryInvariant (physics)Fixed pointThree-body problemSitnikov problemCelestial mechanicsComputational Mathematicssymbols.namesakeSpace and Planetary ScienceModeling and SimulationsymbolsAstrophysics::Earth and Planetary AstrophysicsHamiltonian (quantum mechanics)Mathematical PhysicsMathematicsCelestial Mechanics & Dynamical Astronomy
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Zur Legitimität der Einordnung ausgewählter sprachlicher Elemente als Helvetismen : Stichprobenartige Überprüfung

2010

KorpusanalyseHelvetismussaksan kieliVarietätVarianteSchweizer HochdeutschVarietätenlinguistik
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Multifaktoriāla krūts vēža ģenētisko riska faktoru izvērtējums

2016

Krūts vēzis ir kompleksa, multifaktoriāla slimība, kurai raksturīga ārējās vides un ģenētisko riska faktoru mijiedarbība. Zemas penetrances alēliskie varianti ir aktuāls pētījumu objekts krūts vēža patoģenēzē. Ar krūts vēža attīstību saistītiem zemas penetrances variantiem ir novērots variabls sastopamības biežums un predispozīcijas efekta spēks starp dažādām populācijām. Šī pētījuma mērķis bija noteikt 11 zemas penetrances alēlisko variantu saistību ar krūts vēža attīstību Latvijas populācijā. Pētījumā analizēja 2609 krūts vēža pacienšu un 694 brīvprātīgo asins donoru genomisko DNS. Vienpadsmit alēlisko variantu genotipēšanu veica ar RFLP un TaqMan zondēm. Genotipēšanas rezultātus un pieej…

Krūts vēzisĢenētiskā predispozīcijaZemas penetrances alēliskie variantiMultifaktoriāla slimībaBioloģija
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On the K-stability of complete intersections in polarized manifolds

2011

We consider the problem of existence of constant scalar curvature Kaehler metrics on complete intersections of sections of vector bundles. In particular we give general formulas relating the Futaki invariant of such a manifold to the weight of sections defining it and to the Futaki invariant of the ambient manifold. As applications we give a new Mukai-Umemura-Tian like example of Fano 5-fold admitting no Kaehler-Einstein metric and a strong evidence of K-stability of complete intersections on Grassmannians.

Kähler–Einstein metricMathematics - Differential GeometryPure mathematicsMathematics(all)General MathematicsComplete intersectionVector bundleFano plane01 natural sciencesMathematics - Algebraic GeometryKähler–Einstein metricKähler-Einstein metricMathematics::Algebraic Geometry0103 physical sciencesFOS: MathematicsMathematics (all)0101 mathematicsInvariant (mathematics)Algebraic Geometry (math.AG)Complete intersectionMathematics::Symplectic GeometryMathematics010308 nuclear & particles physics010102 general mathematicsMathematical analysisK-stabilityManifoldDifferential Geometry (math.DG)Futaki invariant53C55 14J99Constant scalar curvature Kähler metricMathematics::Differential GeometryFano manifoldScalar curvature
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Plasma HDL cholesterol and risk of myocardial infarction: a mendelian randomisation study

2012

BACKGROUND: High plasma HDL cholesterol is associated with reduced risk of myocardial infarction, but whether this association is causal is unclear. Exploiting the fact that genotypes are randomly assigned at meiosis, are independent of non-genetic confounding, and are unmodified by disease processes, mendelian randomisation can be used to test the hypothesis that the association of a plasma biomarker with disease is causal. METHODS: We performed two mendelian randomisation analyses. First, we used as an instrument a single nucleotide polymorphism (SNP) in the endothelial lipase gene (LIPG Asn396Ser) and tested this SNP in 20 studies (20,913 myocardial infarction cases, 95,407 controls). Se…

LOCIMyocardial Infarction030204 cardiovascular system & hematologychemistry.chemical_compound0302 clinical medicineHigh-density lipoproteinGene Frequencyplasma HDL cholesterol ; mendelian randomisation ; MIHDL cholesterolsingle nucleotide polymorphismRisk FactorsGENETIC-VARIANTSARTERY-DISEASEProspective StudiesMyocardial infarction0303 health sciencesHDL cholesterol; myocardial infarction; single nucleotide polymorphismISCHEMIC CARDIOVASCULAR-DISEASEGeneral Medicine3. Good healthCardiologylipids (amino acids peptides and proteins)medicine.medical_specialtyDalcetrapibSingle-nucleotide polymorphismPolymorphism Single Nucleotide03 medical and health sciencesInternal medicinemedicineHumansCORONARY-HEART-DISEASEGenetic Predisposition to DiseaseMETAANALYSIS030304 developmental biologyBLOOD CHOLESTEROLbusiness.industryCholesterolCholesterol HDLCase-control studyCholesterol LDLLipaseOdds ratioMendelian Randomization Analysismedicine.diseaseENDOTHELIAL LIPASEATHEROSCLEROSISchemistryCase-Control StudiesbusinessHIGH-DENSITY-LIPOPROTEINBiomarkersEvacetrapibThe Lancet
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De novo GRIN2A variants associated with epilepsy and autism and literature review

2021

N-methyl-D-aspartate receptors (NMDAR) are di- or tri-heterotetrameric ligand-gated ion channels composed of two obligate glycine-binding GluN1 subunits and two glutamate-binding GluN2 or GluN3 subunits, encoded by GRIN1, GRIN2A–D, and GRIN3A–B receptor genes respectively. Each NMDA receptor subtype has different temporal and spatial expression patterns in the brain and varies in the cell types and subcellular localization resulting in different functions. They play a crucial role in mediating the excitatory neurotransmission, but are also involved in neuronal development and synaptic plasticity, essential for learning, memory, and high cognitive functions. Among genes coding NMDAR subunits…

Landau-Kleffner SyndromeEpilepsySettore M-PSI/02 - Psicobiologia E Psicologia FisiologicaIntellectual disabilityGRIN2BGRIN2AReceptors N-Methyl-D-AspartateGene de novo variantsSettore MED/39 - Neuropsichiatria InfantileBehavioral NeuroscienceSettore MED/38 - Pediatria Generale E SpecialisticaNeurologyNeurodevelopmental DisordersSettore M-PSI/08 - Psicologia ClinicaHumansEpilepsies PartialNeurology (clinical)Autism spectrum disorderAutistic DisorderChildEpilepsy & Behavior
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Nodal Solutions for Supercritical Laplace Equations

2015

In this paper we study radial solutions for the following equation $$\Delta u(x)+f (u(x), |x|) = 0,$$ where $${x \in {\mathbb{R}^{n}}}$$ , n > 2, f is subcritical for r small and u large and supercritical for r large and u small, with respect to the Sobolev critical exponent $${2^{*} = \frac{2n}{n-2}}$$ . The solutions are classified and characterized by their asymptotic behaviour and nodal properties. In an appropriate super-linear setting, we give an asymptotic condition sufficient to guarantee the existence of at least one ground state with fast decay with exactly j zeroes for any j ≥ 0. Under the same assumptions, we also find uncountably many ground states with slow decay, singular gro…

Laplace transform010102 general mathematicsMathematical analysisInvariant manifoldStatistical and Nonlinear Physicsradial solutionLaplace equations radial solutions regular/singular ground state Fowler inversion invariant manifoldLaplace equation01 natural sciencesSupercritical fluidinvariant manifold.010101 applied mathematicsSobolev spaceregular/singular ground stateTransformation (function)Structural stabilityFowler inversion0101 mathematicsGround stateCritical exponentMathematical PhysicsMathematicsMathematical physics
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