Search results for "Random"

showing 10 items of 3931 documents

Contextuality in canonical systems of random variables

2017

Random variables representing measurements, broadly understood to include any responses to any inputs, form a system in which each of them is uniquely identified by its content (that which it measures) and its context (the conditions under which it is recorded). Two random variables are jointly distributed if and only if they share a context. In a canonical representation of a system, all random variables are binary, and every content-sharing pair of random variables has a unique maximal coupling (the joint distribution imposed on them so that they coincide with maximal possible probability). The system is contextual if these maximal couplings are incompatible with the joint distributions o…

Pure mathematicsGeneral MathematicsGeneral Physics and AstronomyBinary numberFOS: Physical sciencesContext (language use)01 natural sciences050105 experimental psychologydirect influencesJoint probability distribution0103 physical sciencesFOS: Mathematics0501 psychology and cognitive sciencesCanonical formcontextuality010306 general physicsCategorical variableta515MathematicsQuantum Physics05 social sciencesProbability (math.PR)ta111General EngineeringArticlesKochen–Specker theoremcanonical systemsIf and only ifdichotomizationmeasurementsQuantum Physics (quant-ph)81P13 81Q99 60A99Random variableMathematics - ProbabilityPhilosophical Transactions of the Royal Society A : Mathematical Physical and Engineering Sciences
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Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces

2019

Abstract In this paper we study evolution problems of Leray–Lions type with nonhomogeneous Neumann boundary conditions in the framework of metric random walk spaces. This covers cases with the p -Laplacian operator in weighted discrete graphs and nonlocal operators with nonsingular kernel in R N .

Pure mathematicsKernel (set theory)Applied Mathematics010102 general mathematicsMathematics::Analysis of PDEsType (model theory)Random walk01 natural scienceslaw.invention010101 applied mathematicsMathematics - Analysis of PDEsInvertible matrixlawMetric (mathematics)Neumann boundary conditionFOS: Mathematics0101 mathematicsLaplace operatorAnalysis35K55 47H06 47J35MathematicsAnalysis of PDEs (math.AP)
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A Laplace type problem for a lattice with cell composed by two trapezius and a triangle

2014

In the previous papers, [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors study some Laplace problem for different lattices. In this paper we determine the probability that a random segment of constant length intersects a side of lattice with cell represented in fig.1

Pure mathematicsLaplace transformSettore MAT/05 - Analisi MatematicaApplied MathematicsLattice (order)GeometryGeometric Probability stochastic geometry random sets random convex sets and integral geometryMathematicsApplied Mathematical Sciences
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Algebraic aspects and coherence conditions for conjoined and disjoined conditionals

2019

We deepen the study of conjoined and disjoined conditional events in the setting of coherence. These objects, differently from other approaches, are defined in the framework of conditional random quantities. We show that some well known properties, valid in the case of unconditional events, still hold in our approach to logical operations among conditional events. In particular we prove a decomposition formula and a related additive property. Then, we introduce the set of conditional constituents generated by $n$ conditional events and we show that they satisfy the basic properties valid in the case of unconditional events. We obtain a generalized inclusion-exclusion formula and we prove a …

Pure mathematicsProperty (philosophy)Settore MAT/06 - Probabilita' E Statistica MatematicaDistributivityApplied MathematicsProbability (math.PR)02 engineering and technologyCoherence (statistics)Characterization (mathematics)Settore MAT/01 - Logica Matematica60Axx 03B48Theoretical Computer ScienceCoherenceConditional random quantities Conjunction and disjunction of conditionals Decomposition formula Conditional constituents Inclusion-exclusion formulaSet (abstract data type)Artificial Intelligence020204 information systemsFOS: Mathematics0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingInclusion–exclusion principleAlgebraic numberMathematics - ProbabilitySoftwareCounterexampleMathematics
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Toeplitz band matrices with small random perturbations

2021

We study the spectra of $N\times N$ Toeplitz band matrices perturbed by small complex Gaussian random matrices, in the regime $N\gg 1$. We prove a probabilistic Weyl law, which provides an precise asymptotic formula for the number of eigenvalues in certain domains, which may depend on $N$, with probability sub-exponentially (in $N$) close to $1$. We show that most eigenvalues of the perturbed Toeplitz matrix are at a distance of at most $\mathcal{O}(N^{-1+\varepsilon})$, for all $\varepsilon >0$, to the curve in the complex plane given by the symbol of the unperturbed Toeplitz matrix.

Pure mathematicsSpectral theoryGeneral Mathematics010103 numerical & computational mathematics01 natural sciencesMathematics - Spectral TheoryMathematics - Analysis of PDEsFOS: MathematicsAsymptotic formula0101 mathematicsSpectral Theory (math.SP)Eigenvalues and eigenvectorsMathematics010102 general mathematicsProbability (math.PR)Toeplitz matrixComplex normal distribution[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Weyl lawRandom perturbationsRandom matrixComplex planeSpectral theoryMathematics - ProbabilityNon-self-adjoint operators[MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP]Analysis of PDEs (math.AP)
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Quantum walk on the line through potential barriers

2015

Quantum walks are well-known for their ballistic dispersion, traveling $\Theta(t)$ away in $t$ steps, which is quadratically faster than a classical random walk's diffusive spreading. In physical implementations of the walk, however, the particle may need to tunnel through a potential barrier to hop, and a naive calculation suggests this could eliminate the ballistic transport. We show by explicit calculation, however, that such a loss does not occur. Rather, the $\Theta(t)$ dispersion is retained, with only the coefficient changing, which additionally gives a way to detect and quantify the hopping errors in experiments.

Quadratic growthPhysicsQuantum PhysicsFOS: Physical sciencesStatistical and Nonlinear PhysicsCondensed Matter::Mesoscopic Systems and Quantum Hall EffectRandom walk01 natural sciences010305 fluids & plasmasTheoretical Computer ScienceElectronic Optical and Magnetic MaterialsModeling and SimulationBallistic conduction0103 physical sciencesSignal ProcessingLine (geometry)Dispersion (optics)Rectangular potential barrierQuantum walkStatistical physicsElectrical and Electronic EngineeringQuantum Physics (quant-ph)010306 general physicsQuantum Information Processing
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Unmet needs and challenges in gastric cancer: The way forward

2014

AbstractAlthough the incidence of gastric cancer has fallen steadily in developed countries over the past 50years, outcomes in Western countries remain poor, primarily due to the advanced stage of the disease at presentation. While earlier diagnosis would help to improve outcomes for patients with gastric cancer, better understanding of the biology of the disease is also needed, along with advances in therapy. Indeed, progress in the treatment of gastric cancer has been limited, mainly because of its genetic complexity and heterogeneity. As a result, there is an urgent need to apply precision medicine to the management of the disease in order to ensure that individuals receive the most appr…

Quality Controlmedicine.medical_specialtyDrug developmentAuditDiseasePathogenesisMalignancyUnmet needsGastrectomyStomach NeoplasmsAntineoplastic Combined Chemotherapy ProtocolsmedicineHumansRadiology Nuclear Medicine and imagingMolecular Targeted TherapyRegistriesIntensive care medicineQuality of Health CareRandomized Controlled Trials as Topicbusiness.industryIncidence (epidemiology)CancerGenomicsGeneral Medicinemedicine.diseasePrecision medicineSurgeryEuropeTreatmentOncologyRadiology Nuclear Medicine and imagingDrug DesignQuality of LifeHeterogeneitybusinessGastric cancerDelivery of Health CareDeveloped countryAlgorithms
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Effects of a 9-month resistance training intervention on quality of life, sense of coherence, and depressive symptoms in older adults: randomized con…

2017

Purpose (1) To determine the effects of a 9-month resistance training intervention on quality of life, sense of coherence, and depressive symptoms in older adults, and (2) to compare effects between different training frequencies. Methods Men and women aged 65–75 (N = 106) were randomized to four groups according to training frequency: training groups RT1 (n = 26), RT2 (n = 27), and RT3 (n = 28) and non-training control group (n = 25). All training groups attended supervised resistance training twice a week for 3 months. For the following 6 months, they continued training with different frequencies (1, 2 or 3 times per week). Psychological functioning was measured by quality of life (WHOQOL…

Quality of lifeMaleCoping (psychology)medicine.medical_specialtyAgingTime FactorsSense of CoherencehyvinvointieducationWell-beingelämänlaatuArticlelaw.invention03 medical and health sciences0302 clinical medicinePhysical medicine and rehabilitationRandomized controlled triallawMoodmedicineHumans030212 general & internal medicineExerciseDepressive symptomsAgedexerciseDepressionselviytyminenmielialaPublic healthagingPublic Health Environmental and Occupational HealthResistance trainingResistance Training030229 sport sciencesikääntyminenMoodWell-beingFemaleCopingPsychologySense of coherenceQuality of Life Research
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Health-related quality of life after bariatric surgery: a systematic review of prospective long-term studies

2014

Author´s accepted manuscript Impaired health-related quality of life (HRQoL) is common in bariatric surgery candidates and is often one of the motivating factors for seeking bariatric surgery. Although many studies have reported changes in HRQoL after bariatric surgery, few are long-term prospective studies and no systematic review has been conducted. A systematic database search identified studies reporting HRQoL preoperatively and ≥ 5 years after bariatric surgery. Change in HRQoL over time was the outcome variable, divided into primary and secondary outcomes. Seven prospective cohort studies met the inclusion criteria. Eight HRQoL measures and six surgical methods were identified. Longte…

Quality of lifemedicine.medical_specialtyPediatricsHealth-related quality of lifePopulationBariatric SurgerySurgical methodslaw.inventionRandomized controlled triallawHumansMedicineObesityeducationProspective cohort studyBariatric surgeryHealth related quality of lifeeducation.field_of_studybusiness.industrymedicine.diseaseObesityhumanitiesObesity MorbidPeer reviewSurgerySample size determinationSystematic reviewQuality of LifeSurgerybusinessSurgery for Obesity and Related Diseases
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Transdiagnostic cognitive behavioral therapy versus treatment asusual in adult patients with emotional disorders in the primarycaresetting (PsicAP St…

2016

BACKGROUND Demand for primary care (PC) services in Spain exceeds available resources. Part of this strong demand is due to the high prevalence of emotional disorders (EDs)-anxiety, depression, and somatic symptom disorders-and related comorbidities such as pain or chronic illnesses. EDs are often under- or misdiagnosed by general practitioners (GPs) and, consequently, treatment is frequently inadequate. OBJECTIVE We aim to compare the short- and long-term effectiveness of group-delivered transdiagnostic cognitive behavioral therapy (TD-CBT) versus treatment as usual (TAU) in the treatment of EDs in the PC setting in Spain. We also aim to compare the effect of these treatments on disability…

Quality of lifemedicine.medical_specialtyTreatment as usualTransdiagnostic therapymedicine.medical_treatmentsomatizationPrimary careAnxietylaw.inventionprimary careCommon mental health disorders03 medical and health sciences0302 clinical medicineQuality of life (healthcare)Medically unexplained symptomsRandomized controlled triallawProtocolmedicinemedically unexplained symptomscommon mental health disorders030212 general & internal medicinePsychiatryDepression (differential diagnoses)Protocol (science)Depressionbusiness.industrytreatment as usualGeneral MedicineEmotional disordersanxietyPrimary caremedicine.diseasePsicología clínica y psicodiagnósticocognitive behavioral therapytransdiagnostic therapyCognitive behavioral therapy030227 psychiatryCognitive behavioral therapyquality of lifeSomatizationPsicoterapiadepressionemotional disordersAnxietymedicine.symptomEmoción y agresividadbusinessSomatization
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