Search results for "NULL"

showing 10 items of 396 documents

Covariant determination of the Weyl tensor geometry

2001

We give a covariant and deductive algorithm to determine, for every Petrov type, the geometric elements associated with the Weyl tensor: principal and other characteristic 2-forms, Debever null directions and canonical frames. We show the usefulness of these results by applying them in giving the explicit characterization of two families of metrics: static type I spacetimes and type III metrics with a hypersurface-orthogonal Killing vector. PACS numbers: 0240M, 0420C

PhysicsWeyl tensorGeneral Relativity and Quantum CosmologyKilling vector fieldPure mathematicssymbols.namesakePhysics and Astronomy (miscellaneous)Null (mathematics)symbolsCovariant transformationType (model theory)Characterization (mathematics)Classical and Quantum Gravity
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On the invariant symmetries of the D-metrics

2007

We analyze the symmetries and other invariant qualities of the $\mathcal{D}$-metrics (type D aligned Einstein Maxwell solutions with cosmological constant whose Debever null principal directions determine shear-free geodesic null congruences). We recover some properties and deduce new ones about their isometry group and about their quadratic first integrals of the geodesic equation, and we analyze when these invariant symmetries characterize the family of metrics. We show that the subfamily of the Kerr-NUT solutions are those admitting a Papapetrou field aligned with the Weyl tensor.

PhysicsWeyl tensorGeodesicNull (mathematics)Statistical and Nonlinear PhysicsCosmological constantType (model theory)General Relativity and Quantum Cosmologysymbols.namesakeHomogeneous spacesymbolsInvariant (mathematics)Isometry groupMathematical PhysicsMathematical physicsJournal of Mathematical Physics
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Lorentzian Comments on Stokes Parameters

2003

The popular Stokes statements about polarized light are interpreted in a Minkowskian language using a Lorentzian representation for the Stokes parameters and the degree of polarization. The evolution equations for Stokes parameters on a curved space-time are obtained using the parallel transport of the polarization vector along a null geodesic. The interest of these equations in Astrophysics and Relativistic Cosmology is outlined.

Physics::Fluid DynamicsPhysicsGeneral Relativity and Quantum Cosmologysymbols.namesakeClassical mechanicsGeodesics in general relativityParallel transportNull vectorsymbolsDegree of polarizationStokes parametersPolarization (waves)Cosmology
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Real-time low level feature extraction for on-board robot vision systems

2006

Robot vision systems notoriously require large computing capabilities, rarely available on physical devices. Robots have limited embedded hardware, and almost all sensory computation is delegated to remote machines. Emerging gigascale integration technologies offer the opportunity to explore alternative computing architectures that can deliver a significant boost to on-board computing when implemented in embedded, reconfigurable devices. This paper explores the mapping of low level feature extraction on one such architecture, the Georgia Tech SIMD Pixel Processor (SIMPil). The Fast Boundary Web Extraction (fBWE) algorithm is adapted and mapped on SIMPil as a fixed-point, data parallel imple…

PixelComputer sciencebusiness.industryComputationvision systems real-timeFeature extractionNull (SQL)Computer architectureEmbedded systemRobotSIMDArchitectureUnconventional computingbusiness
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Pointwise characterizations of Hardy-Sobolev functions

2006

We establish simple pointwise characterizations of functions in the Hardy-Sobolev spaces within the range n/(n+1)<p <=1. In addition, classical Hardy inequalities are extended to the case p <= 1.

PointwiseMathematics::Functional Analysis42B30 (Primary) 26D15General Mathematics42B25 (Secondary)010102 general mathematicsMathematical analysisMathematics::Classical Analysis and ODEsMathematics::Analysis of PDEs01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional Analysis010101 applied mathematicsSobolev spaceCombinatoricsNull setType conditionMathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: Mathematics46E35Locally integrable function0101 mathematics46E35; 42B30 (Primary) 26D15; 42B25 (Secondary)Mathematics
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Absolutely continuous functions in Rn

2005

Abstract For each 0 α 1 we consider a natural n-dimensional extension of the classical notion of absolute continuous function. We compare it with the Malý's and Hencl's definitions. It follows that each α-absolute continuous function is continuous, weak differentiable with gradient in L n , differentiable almost everywhere and satisfies the formula on change of variables.

Polish groupPure mathematicsChange of variablesα-regular intervalsContinuous functionApplied MathematicsMathematical analysisNull set or empty setQuasi-continuous functionAbsolute continuityWeak derivativeAbsolutely continuous functionsSobolev spaceHaar nullSobolev spacesAlmost everywhereDifferentiable functionAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Predicting the Significance of Necessity

2019

With Necessary Condition Analysis (NCA), a necessity effect is estimated by calculating the amount of empty space in the upper-left corner in a plot with a predictor X and an outcome Y, and recently a method for testing the statistical significance of the necessity effect through permutation has been proposed. In the present simulation study, this method was found to give significant results already with a very weak true population necessity effect, i.e., exhibit high power, unless the sample size is very small. However, in some situations the significance of the necessity effect tends to increase with increased degree of sufficiency, which is paradoxical for a method whose objective is to …

Populationlcsh:BF1-990significancepermutation050105 experimental psychologyPlot (graphics)power03 medical and health sciencesPermutation0302 clinical medicineStatistical significanceSignificance testingStatisticsPsychology0501 psychology and cognitive scienceseducationGeneral Psychologyalternative hypothesissignificance testingeducation.field_of_studytype I errorGeneral Commentary05 social sciencesNCAp-valuenull hypothesis testingsimulationOutcome (probability)lcsh:PsychologySample size determinationPerspectivesufficiencynecessary condition analysisPsychology030217 neurology & neurosurgeryFrontiers in Psychology
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Notazioni brevi in tema di pregiudizialità tra processo canonico di nullità e azione civile di scioglimento del matrimonio

2009

Rapporti tra giurisdizione ecclesiastica e civile. Nullità del matrimonio canonico e divorzio civile. Sospensione per pregiudizialità.

Pregiudizialità sospensione processo civile di divorzio pendenza del giudizio ecclesiastico di nullità.
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Période suspecte. Action révocatoire du droit allemand exercée en France par un syndic allemand. Loi applicable

2013

International audience; (Com., 2 octobre 2012, n° 10-18.005, F. Schmitt ès qual. c/ M.Mialon, D. 2013. 62, note F. Jault-Seseke et D. Robine ; Com., 2 octobre 2012, n° 11-14.406, Decombas c/ F. Schmitt ès qual., D. 2012. 2386, obs. A. Lienhard ; ibid. 2013. 62, note F. Jault-Seseke et D. Robine ; JCP 2012. 1246, note F. Mélin, et 1428, n° 12, obs. Ph. Pétel ; Rev. proc. coll. 2012, comm. 191, note M. Menjucq)

Procédure collectiveNullité de la période suspecte[SHS.DROIT]Humanities and Social Sciences/Law[SHS.DROIT] Humanities and Social Sciences/LawSAUVEGARDE DES ENTREPRISESAction en révocationConflit de lois
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General Statistical Framework for Quantitative Proteomics by Stable Isotope Labeling

2014

Pedro J. Navarro et al.

ProteomicsSaccharomyces cerevisiae ProteinsProteomeQuantitative proteomicsGene Expressionstable isotope labelingSaccharomyces cerevisiaeyeastOxygen Isotopescomputer.software_genreBiochemistryStatistical powerInterpretation (model theory)statistical analysisStable isotope labeling by amino acids in cell cultureQuantitative proteomicsData MiningModels StatisticalChromatographyChemistryMolecular Sequence AnnotationHydrogen PeroxideGeneral ChemistryVariance (accounting)Isotope LabelingStable Isotope LabelingBiological systemNull hypothesiscomputerData integrationJournal of Proteome Research
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