Search results for "6a"

showing 10 items of 139 documents

Frames and representing systems in Fréchet spaces and their duals

2014

[EN] Frames and Bessel sequences in Fr\'echet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract results presented here, when applied to concrete spaces of analytic functions, give many examples and consequences about sampling sets and Dirichlet series expansions.

Pure mathematicsRelation (database)(LB)-spacesrepresenting systems010103 numerical & computational mathematics01 natural sciencesMathematical research46A04 42C15 46A13 46E10Fréchet spacesweakly sufficient setssymbols.namesake$(LB)$-spacesDIDACTICA DE LA MATEMATICA0101 mathematics46A1346E10Dirichlet seriesMathematicsAlgebra and Number Theory42C15Group (mathematics)010102 general mathematicsSampling (statistics)Representing systemsMathematics - Functional AnalysisFramesframessymbolsDual polyhedronWeakly sufficient setsFrechet spacesMATEMATICA APLICADAAnalysisBessel function46A04Analytic function
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Some new results on integration for multifunction

2018

It has been proven in previous papers that each Henstock-Kurzweil-Pettis integrable multifunction with weakly compact values can be represented as a sum of one of its selections and a Pettis integrable multifunction. We prove here that if the initial multifunction is also Bochner measurable and has absolutely continuous variational measure of its integral, then it is a sum of a strongly measurable selection and of a variationally Henstock integrable multifunction that is also Birkhoff integrable.

Pure mathematicsSelection (relational algebra)Integrable systemApplied MathematicsGeneral Mathematics010102 general mathematicsMultifunction set-valued Pettis integral set-valued variationally Henstock and Birkhoff integrals selectionselectionAbsolute continuity01 natural sciencesMeasure (mathematics)Set-valued Pettis integralFunctional Analysis (math.FA)28B20 26E25 26A39 28B05 46G10 54C60 54C65Mathematics - Functional Analysisset-valued Pettis integral010101 applied mathematicsMultifunctionSettore MAT/05 - Analisi MatematicaHenstock and Birkhoff integralsFOS: Mathematicsset-valued variationally0101 mathematicsSet-valued variationally henstock and birkhoff integralMathematicsRicerche di Matematica
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Removable sets for intrinsic metric and for holomorphic functions

2019

We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every totally disconnected set with finite Hausdorff measure of codimension 1 is metrically removable, which answers a question raised by Hakobyan and Herron. The metrically removable sets are shown to be related to other classes of "thin" sets that appeared in the literature. They are also related to the removability problems for classes of holomorphic functions with restrictions on the derivative.

Pure mathematicsintrinsic metricsGeneral MathematicsHolomorphic function01 natural sciencesIntrinsic metricSet (abstract data type)Mathematics - Metric GeometryTotally disconnected spaceholomorphic functionsFOS: MathematicsHausdorff measure0101 mathematicsComplex Variables (math.CV)MathematicsPartial differential equationmatematiikkaMathematics - Complex Variables010102 general mathematicsMetric Geometry (math.MG)Codimensionmetriset avaruudet010101 applied mathematicsMetric space28A78 (Primary) 26A16 30C62 30H05 49Q15 51F99 (Secondary)Analysis
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Progress on nuclear reaction rates affecting the stellar production of 26Al

2023

Abstract The radioisotope 26Al is a key observable for nucleosynthesis in the Galaxy and the environment of the early Solar System. To properly interpret the large variety of astronomical and meteoritic data, it is crucial to understand both the nuclear reactions involved in the production of 26Al in the relevant stellar sites and the physics of such sites. These range from the winds of low- and intermediate-mass asymptotic giant branch stars; to massive and very massive stars, both their Wolf–Rayet winds and their final core-collapse supernovae (CCSN); and the ejecta from novae, the explosions that occur on the surface of a white dwarf accreting material from a stellar companion. Several r…

RadioisotopesRadioisotopeisotoopitNuclear and High Energy PhysicsIsòtops radioactiuscore-collapse supernovae (CCSN)tähdet:Física [Àrees temàtiques de la UPC]astrofysiikkaReaccions nuclears--TarifesnucleosynthesisNuclear reactions--Ratesnuclear reaction rateNuclear reaction rateydinreaktiotkääpiötähdetsupernovatradioisotope 26AlradioisotopealumiiniWolf-Rayet (WR) windsydinfysiikkaNucleosynthesisNucleosíntesi
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Pathogenesis and molecular mechanisms of anderson–fabry disease and possible new molecular addressed therapeutic strategies

2021

Anderson–Fabry disease (AFD) is a rare disease with an incidenceof approximately 1:117,000 male births. Lysosomal accumulation of globotriaosylceramide (Gb3) is the element characterizing Fabry disease due to a hereditary deficiency α-galactosidase A (GLA) enzyme. The accumulation of Gb3 causes lysosomal dysfunction that compromises cell signaling pathways. Deposition of sphingolipids occurs in the autonomic nervous system, dorsal root ganglia, kidney epithelial cells, vascular system cells, and myocardial cells, resulting in organ failure. This manuscript will review the molecular pathogenetic pathways involved in Anderson–Fabry disease and in its organ damage. Some studies reported that i…

ReviewConstriction Pathologicendothelial dysfunctionPathogenesisMicechemistry.chemical_compoundKCa3.1 activitypodocyturiaProtein IsoformsEndothelial dysfunctionBiology (General)SpectroscopyglobotriaosylceramideGlobosidesMicrogliabiologyTOR Serine-Threonine KinasesTrihexosylceramidesmiR-26a-5pGeneral MedicineMitochondriaComputer Science ApplicationsCell biologymiR-152-5pChemistrymedicine.anatomical_structureCerebrovascular CirculationAnderson–Fabry disease Endothelial dysfunction Globotriaosylceramide KCa3.1 activity MiR-1307-5p MiR-152-5p MiR-21-5p MiR-26a-5p Podocyturia Valvular dysfunctionmiR-21-5pSignal TransductionQH301-705.5GlobotriaosylceramideCatalysisInorganic ChemistryAutophagymedicineAnimalsHumansEnzyme Replacement TherapyPhysical and Theoretical ChemistryMolecular BiologyMechanistic target of rapamycinQD1-999PI3K/AKT/mTOR pathwaySphingolipidsAnderson–Fabry diseasebusiness.industryMicrocirculationOrganic ChemistryEndothelial Cellsmedicine.diseaseFabry diseaseSphingolipidMicroRNAschemistrymiR-1307-5palpha-Galactosidasebiology.proteinFabry DiseaseGlycolipidsvalvular dysfunctionLysosomesbusiness
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Lattice operations on Rickart *-rings

2014

Various authors have investigated properties of the star order (introduced by M.P. Drazin in 1978) on algebras of matrices and of bounded linear operators on a Hilbert space. Rickart involution rings (*-rings) are a certain algebraic analogue of von Neumann algebras, which cover these particular algebras. In 1983, M.F. Janowitz proved, in particular, that, in a star-ordered Rickart *-ring, every pair of elements bounded from above has a meet and also a join. However, the latter conclusion seems to be based on some wrong assumption. We show that the conclusion is nevertheless correct, and provide equational descriptions of joins and meets for this case. We also present various general proper…

Rings and Algebras (math.RA)Mathematics::Rings and AlgebrasFOS: Mathematics06A06 16W10 47A05 47L30Mathematics - Rings and Algebras
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New insights on shallow to intermediate crustal structures of the submerged Apenninic-Maghrebian chain (northern Sicily offshore) coming from the re-…

2010

Settore GEO/03 - Geologia StrutturaleApenninic-Maghrebian chain CROP M6A seismic line reprocessing Southern Tyrrhenian Sea
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Process parameters and surface treatment effects on the mechanical and corrosion resistance properties of Ti6Al4V components produced by laser powder…

2023

Laser powder bed fusion is one of the additive manufacturing technologies which has developed more rapidly in recent years as it enables the production of very complex geometries. Titanium alloys are among the most popular materials in the aerospace industry thanks to excellent mechanical and corrosion resistance. The corrosion behavior and mechanical properties of samples made of Ti6Al4V and characterized by the geometrical features typical of brackets were investigated taking into account the effects of process parameters on porosity and microstructure. A comparison between the corrosion resistance of samples with complex geometry (3D) and specimens characterized by simple geometry (FLAT)…

Settore ING-IND/23 - Chimica Fisica ApplicataPowder bed fusion Ti6Al4V Corrosion resistanceSettore ING-IND/16 - Tecnologie E Sistemi Di LavorazioneIndustrial and Manufacturing Engineering
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SiRNA-mediated selective inhibition of mutant keratin mRNAs responsible for the skin disorder pachyonychia congenita.

2006

RNA interference offers a novel approach for treating genetic disorders including the rare monogenic skin disorder pachyonychia congenita (PC). PC is caused by mutations in keratin 6a (K6a), K6b, K16, and K17 genes, including small deletions and single nucleotide changes. Transfection experiments of a fusion gene consisting of K6a and a yellow fluorescent reporter (YFP) resulted in normal keratin filament formation in transfected cells as assayed by fluorescence microscopy. Similar constructs containing a single nucleotide change (N171K) or a three-nucleotide deletion (N171del) showed keratin aggregate formation. Mutant-specific small inhibitory RNAs (siRNAs) effectively targeted these site…

Small interfering RNABiologymedicine.disease_causeTransfectionGeneral Biochemistry Genetics and Molecular BiologyFusion geneHistory and Philosophy of ScienceCell Line TumorKeratinmedicinePachyonychia congenitaHumansRNA MessengerRNA Small Interferingchemistry.chemical_classificationMutationKeratin Filamentintegumentary systemGeneral NeuroscienceGenetic Diseases InbornKeratin-6RNAKeratin 6Amedicine.diseaseMolecular biologychemistryPachyonychia CongenitaMutationMutagenesis Site-DirectedKeratinsDimerizationAnnals of the New York Academy of Sciences
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CCDC 1061111: Experimental Crystal Structure Determination

2017

Related Article: Tsegaye Deyou, Marco Makungu, Matthias Heydenreich, Fangfang Pan, Amra Gruhonjic, Paul A. Fitzpatrick, Andreas Koch, Solomon Derese, Jerry Pelletier, Kari Rissanen, Abiy Yenesew, and Máté Erdélyi|2017|J.Nat.Prod.|80|2060|doi:10.1021/acs.jnatprod.7b00255

Space GroupCrystallography(SS)-9-methoxy-6a12a-dihydrochromeno[23-c][13]dioxolo[45-g]chromen-12(6H)-oneCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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