Search results for "basi"

showing 10 items of 12854 documents

Polynomial Spline-Wavelets

2015

This chapter presents wavelets in the spaces of polynomial splines. The wavelets’ design is based on the Zak transform, which provides an integral representation of spline-wavelets. The exponential wavelets which participate in the integral representation are counterparts of the exponential splines that were introduced in Chap. 4. Fast algorithms for the wavelet transforms of splines are presented. Generators of spline-wavelet spaces are described, such as the B-wavelets and their duals and the Battle-Lemarie wavelets whose shifts form orthonormal bases of the spline-wavelet spaces.

Zak transformComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONMathematicsofComputing_NUMERICALANALYSISWavelet transformData_CODINGANDINFORMATIONTHEORYMathematics::Numerical AnalysisMatrix polynomialAlgebraSpline (mathematics)Computer Science::GraphicsWaveletOrthonormal basisMonic polynomialComputingMethodologies_COMPUTERGRAPHICSMathematicsCharacteristic polynomial
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OPTIMIZATIONS FOR TENSORIAL BERNSTEIN–BASED SOLVERS BY USING POLYHEDRAL BOUNDS

2010

The tensorial Bernstein basis for multivariate polynomials in n variables has a number 3n of functions for degree 2. Consequently, computing the representation of a multivariate polynomial in the tensorial Bernstein basis is an exponential time algorithm, which makes tensorial Bernstein-based solvers impractical for systems with more than n = 6 or 7 variables. This article describes a polytope (Bernstein polytope) with a number of faces, which allows to bound a sparse, multivariate polynomial expressed in the canonical basis by solving several linear programming problems. We compare the performance of a subdivision solver using domain reductions by linear programming with a solver using a c…

[ INFO.INFO-NA ] Computer Science [cs]/Numerical Analysis [cs.NA]Linear programmingPolytopeBernstein polynomials01 natural sciencesSimplex algorithmApplied mathematicssimplex algorithm0101 mathematicsMathematicsDiscrete mathematicsBasis (linear algebra)Applied Mathematics010102 general mathematicssubdivision solverlinear programmingalgebraic systemsQuadratic function[INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]Solver1991 Mathematics Subject Classification: 14Q15 14Q20 65G40Bernstein polynomialComputer Science Applications010101 applied mathematicsModeling and SimulationStandard basisGeometry and TopologyComputer Vision and Pattern RecognitionSoftwareInternational Journal of Shape Modeling
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Building Anosov flows on $3$–manifolds

2014

We prove a result allowing to build (transitive or non-transitive) Anosov flows on 3-manifolds by gluing together filtrating neighborhoods of hyperbolic sets. We give several applications; for example: 1. we build a 3-manifold supporting both of a transitive Anosov vector field and a non-transitive Anosov vector field; 2. for any n, we build a 3-manifold M supporting at least n pairwise different Anosov vector fields; 3. we build transitive attractors with prescribed entrance foliation; in particular, we construct some incoherent transitive attractors; 4. we build a transitive Anosov vector field admitting infinitely many pairwise non-isotopic trans- verse tori.

[ MATH ] Mathematics [math]Pure mathematicsAnosov flowMathematics::Dynamical Systems3–manifolds[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Dynamical Systems (math.DS)$3$–manifolds01 natural sciencesFoliationsSet (abstract data type)MSC: Primary: 37D20 Secondary: 57M9957M99Diffeomorphisms0103 physical sciencesAttractorFOS: Mathematics0101 mathematics[MATH]Mathematics [math]Mathematics - Dynamical SystemsManifoldsMathematics::Symplectic Geometry3-manifold37D20 57MMathematicsTransitive relation37D20010308 nuclear & particles physics010102 general mathematicsTorusMathematics::Geometric TopologyFlow (mathematics)Anosov flowsFoliation (geology)Vector fieldhyperbolic plugsGeometry and Topologyhyperbolic basic set3-manifold
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Fossil echinoid (Echinoidea, Echinodermata) diversity of the Early Cretaceous (Hauterivian) in the Paris Basin (France).

2013

11 pages; International audience; This dataset inventories occurrence records of fossil echinoid specimens collected in the Calcaires à Spatangues Formation (CSF) that crops out in the southeast of the Paris Basin (France), and is dated from the Acanthodiscus radiatus chronozone (ca. 132 Ma, early Hauterivian, Early Cretaceous). Fossil richness and abundance of the CSF has attracted the attention of palaeontologists since the middle of the nineteenth century. This dataset compiles occurrence data (referenced by locality names and geographic coordinates with decimal numbers) of fossil echinoids both collated from the literature published over a century and a half, and completed by data from …

[ SDV.BID ] Life Sciences [q-bio]/BiodiversityEarly CretaceousCalcaires à Spatangues FormationBiologyStructural basinbiology.organism_classificationArticleCretaceousPaleontologyHauterivianAcanthodiscusParis Basinlcsh:ZoologyAnimal Science and ZoologyTaxonomy (biology)RadiatusChronozoneSpecies richnessTaxonomic ranklcsh:QL1-991FranceEcology Evolution Behavior and SystematicsEchinoids[ SDU.STU.PG ] Sciences of the Universe [physics]/Earth Sciences/Paleontology
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Le vécu des sujets atteints de sclérose en plaques : modalités intersubjectives et conjugalité, stratégies adaptatives

2016

Supplément consacré aux Journées de Neurologie de langue française 2016; International audience; Introduction : Notre recherche porte sur l’illness, maladie du point de vue du malade, évènement corporel et psychique qui réorganise la vie psychique du sujet, influence son rapport à autrui.Objectifs : Nos objectifs consistent en l’évaluation et l’analyse de la perception des sujets quant à leur vécu émotionnel, leurs modalités intersubjectives, leurs stratégies adaptatives et leurs liens éventuels.Patients et méthodes : L’échantillon se compose de 79 sujets porteurs de SEP rémittente-récurrente (suivis EDMUS ; EDSS : m = 2,75[2,06] ; durée SEP : m = 10,47[6,08]). Sept auto-évaluations ont été…

[ SDV.NEU.PC ] Life Sciences [q-bio]/Neurons and Cognition [q-bio.NC]/Psychology and behavior0301 basic medicineIntersubjectivité03 medical and health sciencesNeurology[ SCCO.NEUR ] Cognitive science/Neuroscience030106 microbiology[ SCCO.PSYC ] Cognitive science/PsychologyNeurology (clinical)AnxiétéSclérose en plaquesRevue Neurologique
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Unsupervised learning of category-specific symmetric 3D keypoints from point sets

2020

Lecture Notes in Computer Science, 12370

[INFO.INFO-AI] Computer Science [cs]/Artificial Intelligence [cs.AI]FOS: Computer and information sciencesComputer sciencePlane symmetryComputer Vision and Pattern Recognition (cs.CV)Point cloudComputer Science - Computer Vision and Pattern Recognition02 engineering and technology010501 environmental sciences01 natural sciences[INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI][INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Linear basis0202 electrical engineering electronic engineering information engineeringComputingMilieux_COMPUTERSANDEDUCATIONPoint (geometry)0105 earth and related environmental sciencesbusiness.industryCategory specific[INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Pattern recognition16. Peace & justiceBenchmark (computing)Unsupervised learning020201 artificial intelligence & image processingArtificial intelligenceSymmetry (geometry)business
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The playa environments of the Lodève Permian basin (Languedoc-France).

2008

28 pages; International audience; The Lodève Permian synrift sequence is represented by thick stacked climate-controled playa cycles which have been constrained by structural, sedimentological, geochemical and paleontological processes. The present paper merges the different results in order to better constrain the dynamics and palaeoecologycal evolution of the playa system from Late Cisuralian to Early Lopingian time. In this depositional environment, thining upwards sheet-flood sequences represent flooding events; they are relayed by ephemeral ponding, suspension settling and limited carbonate precipitation accompanied by large amounts of shallow to subaerial sedimentary structures (curre…

[SDE.MCG]Environmental Sciences/Global ChangesLodeve Permian basinPermianfootprintsPlaya[ SDU.STU.ST ] Sciences of the Universe [physics]/Earth Sciences/Stratigraphy[SDU.ENVI] Sciences of the Universe [physics]/Continental interfaces environmentTriopsids[ SDE.MCG ] Environmental Sciences/Global Changes[SDE.MCG] Environmental Sciences/Global ChangesScoyenia ichnofacies[SDU.STU.ST]Sciences of the Universe [physics]/Earth Sciences/StratigraphyVertebrates[ SDU.ENVI ] Sciences of the Universe [physics]/Continental interfaces environment[SDU.STU.ST] Sciences of the Universe [physics]/Earth Sciences/Stratigraphy[SDU.STU.PG] Sciences of the Universe [physics]/Earth Sciences/Paleontology[SDU.STU.PG]Sciences of the Universe [physics]/Earth Sciences/Paleontology[SDU.ENVI]Sciences of the Universe [physics]/Continental interfaces environmentConchostraca[ SDU.STU.PG ] Sciences of the Universe [physics]/Earth Sciences/Paleontology
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Expression Patterns of Key Hormones Related to Pea (Pisum sativum L.) Embryo Physiological Maturity Shift in Response to Accelerated Growth Conditions

2019

Protocols have been proposed for rapid generation turnover of temperate legumes under conditions optimized for day-length, temperature, and light spectra. These conditions act to compress time to flowering and seed development across genotypes. In pea, we have previously demonstrated that embryos do not efficiently germinate without exogenous hormones until physiological maturity is reached at 18 days after pollination (DAP). Sugar metabolism and moisture content have been implicated in the modulation of embryo maturity. However, the role of hormones in regulating seed development is poorly described in legumes. To address this gap, we characterized hormonal profiles (IAA, chlorinated auxin…

[SDE] Environmental Sciences0106 biological sciences0301 basic medicinegibberellinslegumes[SDV]Life Sciences [q-bio]abscisic acid;auxins;embryo physiological maturity;generation turnover;gibberellins;hormone regulation;legumes;precocious seed germinationprecocious seed germinationPlant Sciencelcsh:Plant cultureBiology01 natural sciencesPisumabscisic acid03 medical and health scienceschemistry.chemical_compoundSativumAuxin[SDV.BV]Life Sciences [q-bio]/Vegetal Biologylcsh:SB1-1110[SDV.BV] Life Sciences [q-bio]/Vegetal BiologyAbscisic acid2. Zero hungerchemistry.chemical_classificationgeneration turnoverhormone regulationfood and beveragesEmbryobiology.organism_classification[SDV] Life Sciences [q-bio]Horticulture030104 developmental biologychemistryGerminationauxins[SDE]Environmental SciencesGibberellinDesiccationembryo physiological maturity010606 plant biology & botanyFrontiers in Plant Science
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Depth matters : Effects of precipitation regime on soil microbial activity upon rewetting of a plant-soil system

2018

International audience; Climate change is predicted to affect not only the amount but also the temporal distribution of rain. Changes in frequency and amplitude of rain events, i.e. precipitation patterns, result in different water conditions with soil depth, and likely affect plant growth and shape plant and soil microbial activity. Here, we used 18O stable isotope probing (SIP) to investigate bacterial and fungal communities that actively grew or not upon rewetting, at three different depths in plant-soil mesocosms previously subjected to frequent or infrequent watering for 12 weeks (equal total water input). Phylogenetic marker genes for bacteria and fungi were sequenced after rewetting,…

[SDE] Environmental Sciences0301 basic medicineBiogeochemical cycleRain[SDV]Life Sciences [q-bio]Stable-isotope probingPlant DevelopmentBiologyMicrobiologyArticleprecipitation legacyMesocosmSoil03 medical and health sciencesdry-wetMicrobial ecologyAbundance (ecology)[SDV.BV]Life Sciences [q-bio]/Vegetal Biology[SDV.BV] Life Sciences [q-bio]/Vegetal BiologyPrecipitationPhylogenySoil MicrobiologyEcology Evolution Behavior and Systematicsplant-soil interactionsTopsoilBacteriaFungi04 agricultural and veterinary sciences15. Life on land[SDV] Life Sciences [q-bio]030104 developmental biologyAgronomy13. Climate action[SDE]Environmental Sciences040103 agronomy & agriculture0401 agriculture forestry and fisheriesSoil horizonmicrobial community
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Dissolved silica in the Garonne River waters : changes in the weathering dynamics

2000

The major ion chemistry of the Garonne River is indicative of seasonal variations in the weathering dynamics of the drainage basin. Using the geochemical model MEGA for calculation of the contribution of atmospheric CO2 to the total bicarbonate fluxes exported by the Garonne River allows estimations of the concentrations of the major dissolved elements that originate from silicate- and carbonate-rock weathering. The molecular ratio SiO2/Al2O3 was calculated for the 1989–1992 period to identify the main type of weathering in the Garonne River, and montmorillonite was shown to be the major mineral occurring in the weathering products. The seasonal variations of the SiO2/Al2O3 ratio also showe…

[SDE] Environmental SciencesConcentrationDissolved silica[SDV]Life Sciences [q-bio]Drainage basin010501 environmental sciences010502 geochemistry & geophysics01 natural sciencesDissolved materialsDrainage basinsStream transportchemistry.chemical_compoundGaronne RiverEarth and Planetary Sciences (miscellaneous)ComputingMilieux_MISCELLANEOUSGeneral Environmental ScienceWater Science and TechnologyMineralgeography.geographical_feature_categoryHYDROLOGIEGéochimieGeneral EngineeringSilica6. Clean waterHalides[SDV] Life Sciences [q-bio]EuropeGEOCHIMIEEnvironmental chemistry[SDE]Environmental SciencesFranceWestern EuropeWeatheringSeasonal variationsChloridesmedicineEnvironmental Chemistry0105 earth and related environmental sciencesEcologie EnvironnementHydrologygeographyHydrochemistrySeasonalitymedicine.diseaseGéologie appliquéeSilicateMontmorilloniteGironde Francechemistry13. Climate actionPeriod (geology)General Earth and Planetary Sciences
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