Search results for "25"

showing 10 items of 3263 documents

Coupled fixed point, F-invariant set and fixed point of N-order

2010

‎In this paper‎, ‎we establish some new coupled fixed point theorems in complete metric spaces‎, ‎using a new concept of $F$-invariant set‎. ‎We introduce the notion of fixed point of $N$-order as natural extension of that of coupled fixed point‎. ‎As applications‎, ‎we discuss and adapt the presented results to the setting of partially ordered cone metric spaces‎. ‎The presented results extend and complement some known existence results from the literature‎.

Discrete mathematicsCoupled fixed point F-invariant set fixed point of N-order partially ordered set cone metric spaceControl and OptimizationAlgebra and Number Theory47H10‎Fixed-point theoremFixed pointFixed-point propertyCoupled fixed point‎partially ordered setLeast fixed point‎$F$-invariant set54H25Schauder fixed point theoremFixed-point iterationSettore MAT/05 - Analisi Matematica‎34B15‎cone metric space‎fixed point of $N$-orderKakutani fixed-point theoremAnalysisHyperbolic equilibrium pointMathematics
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The generalised type-theoretic interpretation of constructive set theory

2006

We present a generalisation of the type-theoretic interpretation of constructive set theory into Martin-Löf type theory. The generalisation involves replacing Martin-Löf type theory with a new type theory in which logic is treated as primitive instead of being formulated via the propositions-as-types representation. The original interpretation treated logic in Martin-Löf type theory via the propositions-as-types interpretation. The generalisation involves replacing Martin-Löf type theory with a new type theory in which logic is treated as primitive. The primitive treatment of logic in type theories allows us to study reinterpretations of logic, such as the double-negation translation.

Discrete mathematicsLogicConstructive set theoryType (model theory)Translation (geometry)Constructive Set TheoryInterpretation (model theory)AlgebraPhilosophyType theoryDependent type theoryDependent Type TheoryComputer Science::Logic in Computer Science03F25Constructive set theory Dependent type theoryMathematics03F50
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Convolution of three functions by means of bilinear maps and applications

1999

When dealing with spaces of vector-valued analytic functions there is a natural way to understand multipliers between them. If X and Y are Banach spaces and L(X,Y ) stands for the space of linear and continuous operators we may consider the convolution of L(X,Y )-valued analytic functions, say F (z) = ∑ n=0∞ Tnz , and X-valued polynomials, say f(z) = ∑m n=0 xnz , to get the Y -valued function F ∗ f(z) = ∑ Tn(xn)z. The second author considered such a definition and studied multipliers between H(X) and BMOA(Y ) in [5]. When the functions take values in a Banach algebra A then the natural extension of multiplier is simply that if f(z) = ∑ anz n and g(z) = ∑ bnz , then f ∗ g(z) = ∑ an.bnz n whe…

Discrete mathematicsSymmetric bilinear formSesquilinear formGeneral MathematicsBanach spaceOrthogonal complementBilinear formMultiplier (Fourier analysis)46E40Tensor productInterpolation space46B2846G25MathematicsIllinois Journal of Mathematics
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Three-page encoding and complexity theory for spatial graphs

2004

We construct a series of finitely presented semigroups. The centers of these semigroups encode uniquely up to rigid ambient isotopy in 3-space all non-oriented spatial graphs. This encoding is obtained by using three-page embeddings of graphs into the product of the line with the cone on three points. By exploiting three-page embeddings we introduce the notion of the three-page complexity for spatial graphs. This complexity satisfies the properties of finiteness and additivity under natural operations.

Discrete mathematics[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Algebra and Number TheoryDegree (graph theory)Semigroup010102 general mathematicsGeometric topologyGeometric Topology (math.GT)01 natural sciences57M25 57M15 57M05Combinatorics010104 statistics & probabilityMathematics - Geometric TopologyCone (topology)Additive functionEncoding (memory)[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]FOS: Mathematics0101 mathematicsUnit (ring theory)Ambient isotopyMathematics[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]MathematicsofComputing_DISCRETEMATHEMATICS
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Weighted norm inequalities in a bounded domain by the sparse domination method

2019

AbstractWe prove a local two-weight Poincaré inequality for cubes using the sparse domination method that has been influential in harmonic analysis. The proof involves a localized version of the Fefferman–Stein inequality for the sharp maximal function. By establishing a local-to-global result in a bounded domain satisfying a Boman chain condition, we show a two-weight p-Poincaré inequality in such domains. As an application we show that certain nonnegative supersolutions of the p-Laplace equation and distance weights are p-admissible in a bounded domain, in the sense that they support versions of the p-Poincaré inequality.

Discrete mathematicsosittaisdifferentiaaliyhtälötInequalityGeneral Mathematicsmedia_common.quotation_subject010102 general mathematicsPoincaré inequalityharmoninen analyysi01 natural sciences35A23 (Primary) 42B25 42B37 (Secondary)Harmonic analysis010104 statistics & probabilitysymbols.namesakeMathematics - Analysis of PDEsNorm (mathematics)Bounded functionFOS: MathematicssymbolsMaximal function0101 mathematicsepäyhtälötAnalysis of PDEs (math.AP)Mathematicsmedia_common
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Il danno psichico da Disturbo Post-Traumatico da Stress (DPTS): aspetti clinici e testologici

2002

Distrubo da Stress Post-TraumaticoSettore M-PSI/08 - Psicologia ClinicaSettore M-PSI/03 - Psicometriadanno psichico psicodiagnosiDisturbo da Stress Post-traumaticoSettore MED/25 - Psichiatria
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Gladius-bearing coleoids from the Upper Cretaceous Lebanese Lagerstätten: diversity, morphology, and phylogenetic implications.

2017

AbstractGladius-bearing coleoids are rare in the fossil record. For the Cretaceous period, these cephalopods are mainly recorded in a few Lagerstätten in Lebanon (Haqel, Hajoula, En Nammoura, and Sahel Aalma). Here, we study 16 specimens of gladius-bearing coleoids from these Upper Cretaceous Lebanese Lagerstätten to investigate their taxonomic diversity. Besides two species that were already reported (Dorateuthis syriacaandGlyphiteuthis libanotica), one new species is identified in the Cenomanian site of Hajoula:Rachiteuthis acutalin. sp., as well as another form ofGlyphiteuthisfrom En Nammoura. Several studied specimens exhibit well-preserved soft-part characters. Among them, we document …

DorateuthisFossil RecordbiologyPhylogenetic treePaleontologyMorphology (biology)10125 Paleontological Institute and Museumbiology.organism_classificationCretaceous1911 PaleontologyPaleontologyTaxon560 Fossils & prehistoric lifeGladiusCenomanian[SDU.STU.PG]Sciences of the Universe [physics]/Earth Sciences/PaleontologyComputingMilieux_MISCELLANEOUS[ SDU.STU.PG ] Sciences of the Universe [physics]/Earth Sciences/Paleontology
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Chemotherapy-Induced Neuropathy and Diabetes: A Scoping Review

2021

Although cancer and diabetes are common diseases, the relationship between diabetes, neuropathy and the risk of developing peripheral sensory neuropathy while or after receiving chemotherapy is uncertain. In this review, we highlight the effects of chemotherapy on the onset or progression of neuropathy in diabetic patients. We searched the literature in Medline and Scopus, covering all entries until 31 January 2021. The inclusion and exclusion criteria were: (1) original article (2) full text published in English or Spanish; (3) neuropathy was specifically assessed (4) the authors separately analyzed the outcomes in diabetic patients. A total of 259 papers were retrieved. Finally, eight art…

Drugmedicine.medical_specialtymedicine.medical_treatmentmedia_common.quotation_subjectautonomic dysfunctionMEDLINEAntineoplastic AgentsReviewDiabetes mellitusInternal medicineNeoplasmscold sensitivitymedicineDiabetes MellitusHumansRC254-282media_commonChemotherapybusiness.industrycytostatic drugsCancerPeripheral Nervous System DiseasestoxicityNeoplasms. Tumors. Oncology. Including cancer and carcinogensmedicine.diseaseRadiation therapyside effectsregimensPeripheral neuropathyInclusion and exclusion criteriabusinessCurrent Oncology
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PD‐1‐induced T cell exhaustion is controlled by a Drp1‐dependent mechanism

2022

Programmed cell death‐1 (PD‐1) signaling downregulates the T‐cell response, promoting an exhausted state in tumor‐infiltrating T cells, through mostly unveiled molecular mechanisms. Dynamin‐related protein‐1 (Drp1)‐dependent mitochondrial fission plays a crucial role in sustaining T‐cell motility, proliferation, survival, and glycolytic engagement. Interestingly, such processes are exactly those inhibited by PD‐1 in tumor‐infiltrating T cells. Here, we show that PD‐1pos CD8+ T cells infiltrating an MC38 (murine adenocarcinoma)‐derived murine tumor mass have a downregulated Drp1 activity and more elongated mitochondria compared with PD‐1neg counterparts. Also, PD‐1pos lymphocytic elements in…

DynaminsCancer Researchendocrine systemSettore BIO/06T cellmedicine.medical_treatmentProgrammed Cell Death 1 ReceptorDrp1CD8-Positive T-LymphocytesSettore MED/08 - Anatomia PatologicaMitochondrial Dynamicstumor‐infiltrating lymphocytesMiceImmune systemDownregulation and upregulationDrp1 mitochondria PD-1 T cell tumor-infiltrating lymphocytesPD-1GeneticsmedicineAnimalsHumansSettore MED/05 - Patologia ClinicaResearch ArticlesPI3K/AKT/mTOR pathwayRC254-282Tumor-infiltrating lymphocytesChemistryPD‐1T cellNeoplasms. Tumors. Oncology. Including cancer and carcinogensGeneral MedicineImmunotherapyCell biologymitochondriamedicine.anatomical_structureOncologytumor-infiltrating lymphocytesMolecular MedicineMitochondrial fissionCD8Research ArticleMolecular Oncology
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"Table 2" of "Measurement of inclusive rho0, f0(980), f2(1270), K*2(1430)0 and f'2(1525) production in Z0 decays."

1999

Integrated rates extrapolated to the full x range.

E+ E- --> F2PRIME(1525) XE+ E- --> F2(1270) XStrange productionE+ E- --> HADRONSE+ E- --> Z0Integrated Cross Section91.2Cross SectionSIGMULTE+ E- --> F0(980) XInclusiveE+ E- --> K2*(1430) XE+ E- ScatteringExclusiveR measurementE+ E- --> RHO0 X
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