Search results for "Tension"

showing 10 items of 2456 documents

Basic Measure Theory

2020

In this chapter, we lay the measure theoretic foundations of probability theory. We introduce the classes of sets (semirings, rings, algebras, σ-algebras) that allow for a systematic treatment of events and random observations. Using the measure extension theorem, we construct measures, in particular probability measures on σ-algebras. Finally, we define random variables as measurable maps and study the σ-algebras generated by certain maps.

AlgebraProbability theoryExtension (predicate logic)Construct (philosophy)Random variableMeasure (mathematics)SemiringMathematicsProbability measure
researchProduct

Nonlocalization Properties of Time Operators Transformations

2014

It is presented a general approach to the problem of extension of time operators and the associated Lambda transformations on singular measures. It is also shown that Lambda transformations defined on function spaces having the Urysohn property are non localized. Particular attention has been devoted to time and Lambda operators associated with the Walsh-Paley system and to a characterization of their domain and non locality.

AlgebraPure mathematicsProperty (philosophy)Physics and Astronomy (miscellaneous)Function spaceGeneral MathematicsExtension (predicate logic)Characterization (mathematics)Operator theoryLambdaShift operatorDomain (mathematical analysis)MathematicsInternational Journal of Theoretical Physics
researchProduct

Fuzzy algebras as a framework for fuzzy topology

2011

The paper introduces a variety-based version of the notion of the (L,M)-fuzzy topological space of Kubiak and Sostak and embeds the respective category into a suitable modification of the category of topological systems of Vickers. The new concepts provide a common framework for different approaches to fuzzy topology and topological systems existing in the literature, paving the way for studying the problem of interweaving algebra and topology in mathematics, which was raised by Denniston, Melton and Rodabaugh in their recent research on variable-basis topological systems over the category of locales.

AlgebraPure mathematicsTopological algebraArtificial IntelligenceLogicCategory of topological spacesExtension topologyInitial topologyGeneral topologyTopological spaceTopological vector spaceHomeomorphismMathematicsFuzzy Sets and Systems
researchProduct

OnK 0-functions and regular extension operators

1992

AlgebraRegular extensionGeneral MathematicsMathematicsArchiv der Mathematik
researchProduct

On many-sorted algebraic closure operators

2004

A theorem of Birkhoff-Frink asserts that every algebraic closure operator on an ordinary set arises, from some algebraic structure on the set, as the corresponding generated subalgebra operator. However, for many-sorted sets, i.e., indexed families of sets, such a theorem is not longer true without qualification. We characterize the corresponding many-sorted closure operators as precisely the uniform algebraic operators. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Algebraic cycleDiscrete mathematicsGeneral MathematicsAlgebraic surfaceReal algebraic geometryAlgebraic extensionDimension of an algebraic varietyAlgebraic functionOperator theoryAlgebraic closureMathematicsMathematische Nachrichten
researchProduct

Asymptotically good codes from generalized algebraic-geometry codes

2005

We consider generalized algebraic-geometry codes, based on places of the same degree of a fixed algebraic function field over a finite field. In this note, using a method similar to the Justesen's one, we construct a family of such codes which is asymptotically good.

Algebraic function fieldBlock codeDiscrete mathematicsFunction field of an algebraic varietyApplied MathematicsReal algebraic geometryAlgebraic extensionAlgebraic functionLinear codeExpander codeComputer Science ApplicationsMathematics
researchProduct

ON AUTOMORPHISMS OF GENERALIZED ALGEBRAIC-GEOMETRY CODES.

2007

Abstract We consider a class of generalized algebraic-geometry codes based on places of the same degree of a fixed algebraic function field over a finite field F / F q . We study automorphisms of such codes which are associated with automorphisms of F / F q .

Algebraic function fieldDiscrete mathematicsAlgebraic cycleFinite fieldFunction field of an algebraic varietyAlgebra and Number TheoryAutomorphisms of the symmetric and alternating groupsAlgebraic extensionAlgebraic geometryAutomorphismMathematics
researchProduct

EFFECTS OF ALLOPURINOL ON RENAL FUNCTION DECLINE IN HYPERTENSIVE PATIENTS WITH CHRONIC KIDNEY DISEASES

2014

Aim: To evaluate retrospectively the effects of allopurinol treatment on renal function decline in non-gouty hypertensive patients with moderate-to-severe CKD. Methods: We selected 22 patients treated with allopurinol (A) (100–300 mg/die) that were compared with 44 subjects not treated with this drug (B), matched with A for estimated glomerular filtration rate (eGFR), age, gender and blood pressure values. Results: After a mean follow-up period of 16 months no significant difference was observed between the two groups regarding eGFR decline (A: -6.8 ± 11.6 ml/min/1.73 m2; B: -4.2 ± 9.3 ml/min/1.73 m2). Furthermore, the percentage of subjects with a value of eGFR reduction above the median w…

AlloprurinolAllopurinolkidney diseaserenal functionCKDUric acid; Alloprurinol; renal function; kidney diseases; arterial hypertension.Uric acidarterial hypertension.
researchProduct

Within-visit BP variability, cardiovascular risk factors, and BP control in central and eastern Europe: findings from the BP-CARE study.

2015

INTRODUCTION AND OBJECTIVE Blood pressure variability (BPV) within 24 h or between visits has been found to represent an independent risk factor for cardiovascular disease. The present study was aimed at determining whether a clinical significance can be given also to the BP variations occurring within a single clinical visit. METHODS BPV was quantified as coefficient of variation and as standard deviation (SD) of the mean of three systolic SBP values within a visit in the context of a large-cross subclinical survey (BP-CARE) of treated hypertensive patients living in Eastern European countries. The study population was divided into coefficient of variation and SD quartiles and for each qua…

Ambulatory BPBlood GlucoseMalemedicine.medical_specialtyPhysiologySystoleCoefficient of variationClinic blood pressureContext (language use)Blood PressureMetabolic profileBP variabilityRisk FactorsInternal medicineCardiovascular DiseaseInternal MedicinemedicinePrevalenceHumansClinical significanceRisk factorAgedbusiness.industryRisk FactorBlood Pressure DeterminationMiddle AgedCardiovascular riskEastern europeanEuropeEndocrinologyBlood pressureCholesterolQuartileCardiovascular DiseasesHypertensionPopulation studyFemaleCardiology and Cardiovascular MedicinebusinessHumanJournal of hypertension
researchProduct

Application of the Dang‐Van criterion for life determination under uniaxial random tension–compression with different mean values

2004

In this paper the experimental fatigue lives of specimens made of 10HNAP steel with the lives calculated with the Goodman and Gerber methods of cycle amplitude transformation and the Dang Van criterion for uniaxial loading are compared. Cycles were counted with the rain flow algorithm and damage was accumulated according to the Palmgren-Miner hypothesis. This paper includes comparison of the results for constant amplitude loading with a non-zero mean value and for random loading with zero or non-zero mean values. It has been shown that for 10HNAP steel the algorithm of fatigue life calculations using the Dang Van criterion gives satisfactory results.

AmplitudeMechanics of Materialsbusiness.industryTension compressionMechanical EngineeringMean valueLife timeGeneral Materials ScienceStructural engineeringUniaxial loadbusinessConstant (mathematics)MathematicsFatigue & Fracture of Engineering Materials & Structures
researchProduct