Search results for "Transform"

showing 10 items of 3975 documents

Genericity of dimension drop on self-affine sets

2017

We prove that generically, for a self-affine set in $\mathbb{R}^d$, removing one of the affine maps which defines the set results in a strict reduction of the Hausdorff dimension. This gives a partial positive answer to a folklore open question.

Statistics and ProbabilityPure mathematicsthermodynamic formalismDynamical Systems (math.DS)01 natural sciencesself-affine setsingular value functionAffine combinationAffine hullClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics - Dynamical Systems0101 mathematicsMathematicsDiscrete mathematicsta111010102 general mathematicsMinkowski–Bouligand dimensionproducts of matricesEffective dimension010101 applied mathematicsAffine coordinate systemMathematics - Classical Analysis and ODEsHausdorff dimensionAffine transformationStatistics Probability and UncertaintyStatistics & Probability Letters
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ERG signal analysis using wavelet transform

2009

The wavelet analysis is a powerful tool for analyzing and detecting features of signals characterized by time-dependent statistical properties, as biomedical signals. The identification and the analysis of the components of these signals in the time-frequency domain, give meaningful information about the physiological mechanisms that govern them. This article presents the results of the wavelet analysis applied to the a-wave component of the human electroretinogram. In order to deepen and improve our knowledge about the behavior of the early photoreceptoral response, including the possible activation of interactions and correlations among the photoreceptors, we have detected and identified …

Statistics and ProbabilitySignal processingComputer scienceApplied MathematicsWavelet AnalysisMexican hat waveletWavelet transformLuminanceRetinaSettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)Electroretinogram – a-wave – Photoreceptoral response – Wavelet analysis – Mexican hat waveletRange (mathematics)Identification (information)WaveletOrder (biology)ElectroretinographyHumansPhotoreceptor CellsBiological systemPhotic StimulationEcology Evolution Behavior and SystematicsTheory in Biosciences
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Growth of a colloidal crystallite of hard spheres

1997

Abstract We examine the growth of a single nucleus of hard spheres in a super-saturated colloidal dispersion of hard spheres. A model developed by Bruce Ackerson and Klaus Schatzel based on a Wilson-Frenkel growth law is used. Our emphasis is on the profile of the radial density distribution around the growing (but still spherically symmetric) grain and its Fourier transform, the grain's form factor, which can be observed under small scattering angles in a dynamic light scattering experiment. Depending on the value of the supersaturation we can identify two limiting cases of different growth exponents and density profiles: one is the Frank theory of diffusion-limited growth and the other is…

Statistics and ProbabilitySupersaturationMaterials scienceCondensed matter physicsScatteringForm factor (quantum field theory)Crystal growthHard spheresCondensed Matter Physicssymbols.namesakeClassical mechanicsFourier transformDynamic light scatteringsymbolsCrystallitePhysica A: Statistical Mechanics and its Applications
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Fourth Moments and Independent Component Analysis

2015

In independent component analysis it is assumed that the components of the observed random vector are linear combinations of latent independent random variables, and the aim is then to find an estimate for a transformation matrix back to these independent components. In the engineering literature, there are several traditional estimation procedures based on the use of fourth moments, such as FOBI (fourth order blind identification), JADE (joint approximate diagonalization of eigenmatrices), and FastICA, but the statistical properties of these estimates are not well known. In this paper various independent component functionals based on the fourth moments are discussed in detail, starting wi…

Statistics and ProbabilityjadeMultivariate random variableGeneral MathematicsMathematics - Statistics TheoryStatistics Theory (math.ST)02 engineering and technologyEstimating equations01 natural sciences010104 statistics & probabilityTransformation matrixFastICAFOS: Mathematics0202 electrical engineering electronic engineering information engineeringAffine equivarianceApplied mathematics0101 mathematicsLinear combinationMathematicsComponent (thermodynamics)kurtosis020206 networking & telecommunicationsFOBIIndependent component analysisJADEFastICAStatistics Probability and UncertaintyRandom variable
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Efficient change point detection in genomic sequences of continuous measurements

2010

Abstract Motivation: Knowing the exact locations of multiple change points in genomic sequences serves several biological needs, for instance when data represent aCGH profiles and it is of interest to identify possibly damaged genes involved in cancer and other diseases. Only a few of the currently available methods deal explicitly with estimation of the number and location of change points, and moreover these methods may be somewhat vulnerable to deviations of model assumptions usually employed. Results: We present a computationally efficient method to obtain estimates of the number and location of the change points. The method is based on a simple transformation of data and it provides re…

Statistics and Probabilitymodel selectionBreast Neoplasmscomputer.software_genreBiochemistryCell LineSimple (abstract algebra)Cell Line TumorHumansComputer Simulationpiecewise constant modelMolecular BiologyMathematicsOligonucleotide Array Sequence AnalysisSupplementary dataComparative Genomic HybridizationModels StatisticalSeries (mathematics)Model selectionGenomicsComputer Science ApplicationsComputational MathematicsR packageTransformation (function)Computational Theory and MathematicsChange pointsChangepointaCGH analysiFemaleData miningSettore SECS-S/01 - StatisticacomputerChange detection
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From a fixed bed Ag–alumina catalyst to a modified reactor design: how to enhance the crucial heterogeneous–homogeneous reactions in HC-SCR

2004

Abstract A highly active Ag/alumina catalyst for continuous reduction of NO to nitrogen with n-octane under lean conditions was prepared. It was observed in the reactor set-up experiments for optimization of the converter, that surface generated gas phase species are crucial for obtaining high conversion. EPR and matrix isolated FTIR studies at low temperature (10–18 K) were performed for identification of the radicals. Experimental data, observed at steady state conditions in the temperature range 300–550 °C, was used to produce an artificial neural network model of the catalytic converter with four catalyst beds.

Steady stateWaste managementApplied MathematicsGeneral Chemical Engineeringchemistry.chemical_elementSelective catalytic reductionGeneral ChemistryAtmospheric temperature rangeNitrogenIndustrial and Manufacturing EngineeringCatalysislaw.inventionchemistryChemical engineeringlawCatalytic converterFourier transform infrared spectroscopyElectron paramagnetic resonanceChemical Engineering Science
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A new method for linear affine self-calibration of stationary zooming stereo cameras

2012

This paper presents a simple, yet effective, method to recover the affine structure of a scene from a (stereo) pair of stationary zooming cameras. The proposed method solely relies on point correspondences across images and no knowledge about the scene whatsoever is required. Our method exploits implicit properties of the projective camera matrices of zooming cameras and allows to estimate the affine structure of a scene by solving a linear system of equations. The 3D reconstruction results obtained by using our method, on both real and simulated data, have remarkably validated its feasibility.

Stereo camerasbusiness.industry3D reconstructionComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONIterative reconstructionAffine shape adaptationComputer Science::GraphicsComputer Science::Computer Vision and Pattern RecognitionLinear algebraComputer visionAffine transformationArtificial intelligenceZoombusinessStereo cameraComputingMethodologies_COMPUTERGRAPHICSMathematics2012 19th IEEE International Conference on Image Processing
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Rotational Isomerism in Acetic Acid: The First Experimental Observation of the High-Energy Conformer

2003

The high-energy conformer of acetic acid (cis-AA) is produced in an Ar matrix by vibrational excitation of the OH stretching overtone of the ground conformational state (trans-AA). IR-absorption spectroscopy provides a clear identification of the reaction product. cis-AA converts back to trans-AA in a time scale of minutes at 8 K by tunneling. http://dx.doi.org/10.1021/ja038341a

StereochemistryOvertoneMolecular ConformationInfrared spectroscopy010402 general chemistry01 natural sciencesBiochemistryCatalysisAcetic acidchemistry.chemical_compoundColloid and Surface ChemistryIsomerismAb initio quantum chemistry methods0103 physical sciencesSpectroscopy Fourier Transform InfraredSpectroscopyConformational isomerismAcetic Acid010304 chemical physicsChemistryMatrix isolationGeneral Chemistry3. Good health0104 chemical sciencesKineticsModels ChemicalPhysical chemistryExcitation
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Synthesis, structure, and nuclease properties of several binary and ternary complexes of copper(II) with norfloxacin and 1,10 phenantroline

2007

Three new binary Cu(II) complexes of norfloxacin have been synthesized and characterized. We also report the synthesis, characterization and X-ray crystallographic structures of a new binary compound, [Cu(HNor)(2)]Cl(2).2H(2)O (2) and two new ternary complexes norfloxacin-copper(II)-phen, [Cu(Nor)(phen)(H(2)O)](NO(3)).3H(2)O (4), and [Cu(HNor)(phen)(NO(3))](NO(3)).3H(2)O (5). The structure of 2 consists of two crystallographically independent cationic monomeric units of [Cu(HNor)(2)](2+), chloride anions, and uncoordinated water molecules. The Cu(II) ion is placed at a center of symmetry and is coordinated to two norfloxacin ligands which are related through the inversion center. The struct…

StereochemistryRadicalBinary compoundCrystallography X-RayBiochemistryInorganic ChemistryMetalchemistry.chemical_compoundTandem Mass SpectrometrySpectroscopy Fourier Transform InfraredOrganometallic CompoundsMoleculeDeoxyribonucleasesMolecular StructureCationic polymerizationSquare pyramidal molecular geometryCrystallographyMonomerchemistryvisual_artvisual_art.visual_art_mediumSpectrophotometry UltravioletTernary operationCopperFluoroquinolonesNorfloxacinPhenanthrolinesJournal of Inorganic Biochemistry
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Metabolic activation of dibenzo[a,l]pyrene by human cytochrome P450 1A1 and P450 1B1 expressed in V79 Chinese hamster cells.

1999

Metabolic activation of the strongly carcinogenic polycyclic aromatic hydrocarbon (PAH) dibenzo[a,l]pyrene (DB[a,l]P) and its trans-8,9-dihydrodiol (trans-8,9-diol) catalyzed by human cytochromes P450 (P450) 1A1 and 1B1 was investigated. DNA binding of DB[a,l]P in mammalian cell lines has previously been shown to be preferentially mediated by fjord region DB[a,l]P-11,12-dihydrodiol 13,14-epoxides (DB[a,l]PDE). In order to elucidate different capabilities of both P450 enzymes for metabolic activation of DB[a, l]P V79 Chinese hamster cells, stably expressing human P450s 1A1 or 1B1 have been exposed to the parent PAH or its racemic trans-8, 9-diol. For this purpose, synthesis and spectroscopic…

StereochemistryToxicologyChinese hamsterchemistry.chemical_compoundCytochrome P-450 Enzyme SystemCricetinaepolycyclic compoundsCytochrome P-450 CYP1A1AnimalsHumansBenzopyrenesBiotransformationCarcinogenic Polycyclic Aromatic HydrocarbonbiologyChemistryStereoisomerismGeneral MedicineMetabolismbiology.organism_classificationCell cultureCytochrome P-450 CYP1B1CarcinogensPyreneAryl Hydrocarbon HydroxylasesEnantiomerDNAHuman cytochromeChemical research in toxicology
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