Search results for "6G"

showing 10 items of 44 documents

Convergence for varying measures in the topological case

2023

In this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguely convergent.

Mathematics - Functional Analysis28B05Primary 28B20 Secondary 26E25 26A39 28B05 46G10 54C60 54C6526A39setwise convergence vaguely convergence weak convergence of measures locally compact Hausdorff space Vitali's TheoremSettore MAT/05 - Analisi Matematica54C60FOS: MathematicsPrimary 28B20Secondary 26E2554C65Functional Analysis (math.FA)46G10
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The metric-valued Lebesgue differentiation theorem in measure spaces and its applications

2021

We prove a version of the Lebesgue Differentiation Theorem for mappings that are defined on a measure space and take values into a metric space, with respect to the differentiation basis induced by a von Neumann lifting. As a consequence, we obtain a lifting theorem for the space of sections of a measurable Banach bundle and a disintegration theorem for vector measures whose target is a Banach space with the Radon-Nikod\'{y}m property.

Mathematics - Functional AnalysisMathematics::Functional AnalysisAlgebra and Number Theorymeasurable Banach bundleLebesgue differentiation theoremFOS: MathematicsRadon–Nikodým propertyBanachin avaruudetdisintegration of a measure28A15 28A51 46G15 18F15 46G10 46B22 28A50von Neumann liftingAnalysisFunctional Analysis (math.FA)
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Integration of multifunctions with closed convex values in arbitrary Banach spaces

2018

Integral properties of multifunctions with closed convex values are studied. In this more general framework not all the tools and the technique used for weakly compact convex valued multifunctions work. We pay particular attention to the "positive multifunctions". Among them an investigation of multifunctions determined by vector-valued functions is presented. Finally, decomposition results are obtained for scalarly and gauge-defined integrals of multifunctions and a full description of McShane integrability in terms of Henstock and Pettis integrability is given.

Mathematics::Functional AnalysisPositive multifunctionPhysics::Medical PhysicsMathematics::Optimization and ControlselectionPositive multifunction gauge integral decomposition theorem for multifunctionselection measure theoryComputer Science::OtherFunctional Analysis (math.FA)Mathematics - Functional Analysismeasure theorySettore MAT/05 - Analisi Matematicagauge integralFOS: Mathematicsdecomposition theorem for multifunction28B20 26E25 26A39 28B0 46G10 54C60 54C65
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The first large-scale shell-model calculation of the two-neutrino double beta decay of $^{76}$Ge to the excited states in $^{76}$Se

2022

Large-scale shell-model calculations were carried out for the half-lives and branching ratios of the $2\nu\beta\beta$ decay of $^{76}$Ge to the ground state and the lowest three excited states $2_1^+$, $0_2^+$ and $2_2^+$ in $^{76}$Se. In total, the wave functions of more than 10,000 intermediate $1^+$ states in $^{76}$As were calculated in a three-step procedure allowing an efficient use of the available computer resources. In the first step, 250 lowest states, below some 5 MeV of excitation energy, were calculated without truncations within a full major shell $0f_{5/2}-1p-0g_{9/2}$ for both protons and neutrons. The wave functions of the rest of the states, up to some 30 MeV, were compute…

Nuclear Theory (nucl-th)Nuclear and High Energy PhysicsNuclear Theorymatrix elementsshell modelneutriinotdouble-beta decayFOS: Physical scienceshiukkasfysiikkaydinfysiikka76Geexcited states
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Laser fragmentation of pancreatic duct stones using a rhodamine laser with an automatic stone-tissue detection system. Basic in-vitro studies

1997

OBJECTIVES The aim of our study was to examine the suitability of a rhodamine 6G laser with an integrated stone-tissue detection system (STDS) for fragmenting pancreatic stones. METHODS A total of 64 pancreatic duct stones were measured for weight, diameter, main chemical components and in some cases for their computerized tomography density. Recognition of all stones was checked with the standard STDS or a prototype version. Number of fragmentation pulses, total fragmentation energies and correlation with the individual stone parameters were determined. The quality of the tissue-detection mode was evaluated in postmortem pancreata. RESULTS The standard STDS detected only 45% of the pancrea…

Pathologymedicine.medical_specialtyPancreatic diseasemedicine.medical_treatmentIn Vitro TechniquesLithotripsySensitivity and SpecificityCalculilaw.inventionRhodamine 6GRhodaminechemistry.chemical_compoundlawmedicineHumansPancreatic stonesFragmentation (cell biology)Pancreatic ductHepatologyRhodaminesbusiness.industryPancreatic DuctsGastroenterologyPancreatic DiseasesEquipment DesignLithotripsy LaserLasermedicine.diseasemedicine.anatomical_structurechemistryTomography X-Ray ComputedNuclear medicinebusinessEuropean Journal of Gastroenterology & Hepatology
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The Variational Mcshane Integral in Locally Convex Spaces

2009

The variational McShane integral for functions taking values in a locally convex space is defined, and it is characterized by means of the p-variation of the indefinite Pettis integral

Pettis integralConvex analysisMcShane integralPure mathematicsPettis integral McShane integral variational McShane integral locally convex spacesGeneral MathematicsMathematical analysisvariational McShane integral28B05Settore MAT/05 - Analisi Matematicalocally convex spacesLocally convex topological vector spacePettis integral46G10MathematicsRocky Mountain Journal of Mathematics
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Differentiation of an additive interval measure with values in a conjugate Banach space

2014

We present a complete characterization of finitely additive interval measures with values in conjugate Banach spaces which can be represented as Henstock-Kurzweil-Gelfand integrals. If the range space has the weak Radon-Nikodým property (WRNP), then we precisely describe when these integrals are in fact Henstock-Kurzweil-Pettis integrals.

Pettis integralMathematics::Functional AnalysisPure mathematics54C60General MathematicsMathematical analysisMathematics::Classical Analysis and ODEsBanach spacevariational measureKurzweil-Henstock integralCharacterization (mathematics)Space (mathematics)Measure (mathematics)Kurzweil--Henstock integral Pettis integral variational measure.28B05Range (mathematics)26A39Settore MAT/05 - Analisi MatematicaPettis integral28B20Interval (graph theory)46G10MathematicsConjugate
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A Birkhoff type integral and the Bourgain property in a locally convex space

2007

An integral, called the $Bk$-integral, for functions taking values in a locally convex space is defined. Properties of $Bk$-integrable functions are considered and the relations with other integrals are studied. Moreover the $Bk$-integrability of bounded functions is compared with the Bourgain property.

Pettis integralMcShane integralPure mathematicsMathematical analysisConvex setlocally convex spaceRiemann–Stieltjes integralRiemann integralSingular integral28B05symbols.namesakePettis integral McShane integral Birkho integral locally convex spacesBounded functionPettis integralsymbolsPaley–Wiener integralGeometry and TopologyDaniell integralAnalysisBirkhoff integral46G10Mathematics
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5 – 6 gadīgu bērnu saskarsmes prasmju sekmēšana kustību rotaļās

2021

Autore Līga Priede izvēlējās rakstīt kvalifikācijas darbu par 5-6 gadīgu bērnu saskarsmes prasmju sekmēšanu kustību rotaļās. Temats ir aktuāls, jo ar saskarsmi bērns sastopas no pirmās piedzimšanas dienas, kas iesākumā attīstās ģimenē, tad pirmsskolā un visā tālākajā dzīvē, to veiksmīgi var veicināt ar kustību rotaļu pielietošanu. Saskarsmei ir ļoti svarīga loma veiksmīgai cilvēka attīstībai. Pētījuma mērķis-teorētiski izzināt un praktiski pētīt vecākā pirmsskolas vecuma bērnu saskarsmes prasmju sekmēšanu, kustību rotaļās. Kvalifikācijas darbs sastāv no ievada, teorētiskās un praktiskās daļas. Teorētiskās daļas galvenās tēmas tiek aplūkotas saskarsmes definējums dažādu autoru apgalvojumos, …

Pirmsskolas pedagoģija5-6g.v. bērnu saskarsmebērnu attīstībakustību rotaļaRotaļa
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Bērnu pašapziņas veicināšana kustību rotaļās vecākajā pirmsskolas vecumā

2021

Pirmajā nodaļā, analizējot teorētisko literatūru, ir sniegts pašapziņas raksturojums, uzsverot pašapziņas veidošanās un kustību attīstības likumsakarības un ģimenes lomu pašapziņas attīstīšanā. Otrajā nodaļā ir aprakstītā veiktā pedagoģiskā izmēģinājumdarbība, kuras ietvaros kustību rotaļas tika organizētas balstoties uz tādiem pašapziņu veicinošiem principiem kā iespējām būt aktīviem, pozitīvu atmosfēru, savstarpēju sadarbību un individuālo izaugsmi. Tika secināts, ka rotaļas pozitīvi ietekmē bērnus ar vidēju un augstu pašapziņu, savukārt bērniem ar zemu sākotnējās pašapziņas līmeni pozitīva ietekme varētu tikt novērota ilgākā laika periodā un vienlaicīgi risinot citas bērna problēmas. Kva…

Pirmsskolas pedagoģija5-6gadīgi bērnipašapziņapirmsskolakustību rotaļas
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