Search results for "radon"

showing 10 items of 116 documents

L p-Spaces and the Radon–Nikodym Theorem

2020

In this chapter, we study the spaces of functions whose pth power is integrable. In Section 7.2, we first derive some of the important inequalities (Holder, Minkowski, Jensen) and then in Section 7.3 investigate the case p=2 in more detail.

Radon–Nikodym theoremSection (fiber bundle)symbols.namesakePure mathematicsIntegrable systemMinkowski spaceHilbert spacesymbolsMathematicsNormed vector space
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The Radon-Nikodym Theorem. Duality

1998

The band in M( ℜ) generated by a particular real measure μ can be characterized in various ways.

Radon–Nikodym theoremsymbols.namesakePure mathematicsFenchel's duality theoremsymbolsKronecker's theoremStrong dualityDuality (optimization)Danskin's theoremMeasure (mathematics)Poincaré dualityMathematics
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Microaneurysm detection with radon transform-based classification on retina images.

2012

The creation of an automatic diabetic retinopathy screening system using retina cameras is currently receiving considerable interest in the medical imaging community. The detection of microaneurysms is a key element in this effort. In this work, we propose a new microaneurysms segmentation technique based on a novel application of the radon transform, which is able to identify these lesions without any previous knowledge of the retina morphological features and with minimal image preprocessing. The algorithm has been evaluated on the Retinopathy Online Challenge public dataset, and its performance compares with the best current techniques. The performance is particularly good at low false p…

Retinal ArteryComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONSensitivity and SpecificityPattern Recognition AutomatedImage Interpretation Computer-AssistedmedicineMedical imagingPreprocessorHumansSegmentationComputer visionMicroaneurysmDiabetic RetinopathyContextual image classificationRadon transformbusiness.industryReproducibility of ResultsImage segmentationmedicine.diseaseImage EnhancementAneurysmArtificial intelligencebusinessAlgorithmsRetinopathyRetinoscopy
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The Bochner and Riesz integral representations for the Radon transform

1984

Riesz transformRadon transformGeneral MathematicsMathematical analysisTwo-sided Laplace transformSingular integralMathematicsArchiv der Mathematik
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Coulomb excitation of Rn-222

2022

The nature of quadrupole and octupole collectivity in 222Rn was investigated by determining the electric-quadrupole (E2) and octupole (E3) matrix elements using subbarrier, multistep Coulomb excitation. The radioactive 222Rn beam, accelerated to 4.23 MeV/u, was provided by the HIE-ISOLDE facility at CERN. Data were collected in the Miniball γ-ray spectrometer following the bombardment of two targets, 120Sn and 60Ni. Transition E2 matrix elements within the ground-state and octupole bands were measured up to 10ℏ and the results were consistent with a constant intrinsic electric-quadrupole moment, 518(11)efm2. The values of the intrinsic electric-octupole moment for the 0+→3− and 2+→5− transi…

Science & TechnologyPhysics NuclearSTATESPhysicsSHAPESPhysical SciencesISOTOPESRADON
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Radon Anomalies at Volcano Etna: Identification methods and correlation with geodynamic events

2006

Settore GEO/11 - Geofisica ApplicataRadon Anomalies Geodynamic events Volcano Etna
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False and true anomalies of radon concentration: analysis of different methodologies to a reliable forecast of volcanic phenomena

2009

Settore GEO/11 - Geofisica Applicataradon Etna
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Response of an integrated system, for the study of complex phenomena monitored by gas radon

2007

Settore GEO/11 - Geofisica Applicataradon temperature Etna
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A variational henstock integral characterization of the radon-nikodým property

2009

A characterization of Banach spaces possessing the Radon-Nikodym property is given in terms of finitely additive interval functions. We prove that a Banach space X has the RNP if and only if each X-valued finitely additive interval function possessing absolutely continuous variational measure is a variational Henstock integral of an X-valued function. Due to that characterization several X-valued set functions that are only finitely additive can be represented as integrals.

Settore MAT/05 - Analisi MatematicaHenstock integral Pettis integral variational measure Radon-Nikodym property
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MR3088363 Reviewed Robdera, Mangatiana A. More on the equivalence properties of Radon-Nikodým property types and complete continuity types of Banach …

2013

Settore MAT/05 - Analisi MatematicaRadon-Nikod\`ym property
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