Search results for "Vector"

showing 10 items of 2660 documents

Banach spaces of general Dirichlet series

2018

Abstract We study when the spaces of general Dirichlet series bounded on a half plane are Banach spaces, and show that some of those classes are isometrically isomorphic between themselves. In a precise way, let { λ n } be a strictly increasing sequence of positive real numbers such that lim n → ∞ ⁡ λ n = ∞ . We denote by H ∞ ( λ n ) the complex normed space of all Dirichlet series D ( s ) = ∑ n b n λ n − s , which are convergent and bounded on the half plane [ Re s > 0 ] , endowed with the norm ‖ D ‖ ∞ = sup Re s > 0 ⁡ | D ( s ) | . If (⁎) there exists q > 0 such that inf n ⁡ ( λ n + 1 q − λ n q ) > 0 , then H ∞ ( λ n ) is a Banach space. Further, if there exists a strictly increasing sequ…

SequenceApplied Mathematics010102 general mathematicsBanach space01 natural sciences010101 applied mathematicsCombinatoricssymbols.namesakeBounded functionsymbolsLinear independence0101 mathematicsPositive real numbersGeneral Dirichlet seriesAnalysisDirichlet seriesMathematicsNormed vector spaceJournal of Mathematical Analysis and Applications
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Quantifying the complexity of short-term heart period variability through K nearest neighbor local linear prediction

2008

The complexity of short-term heart period (HP) variability was quantified exploiting the paradigm that associates the degree of unpredictability of a time series to its dynamical complexity. Complexity was assessed through k-nearest neighbor local linear prediction. A proper selection of the parameter k allowed us to perform either linear or nonlinear prediction, and the comparison of the two approaches to infer the presence of nonlinear dynamics. The method was validated on simulations reproducing linear and nonlinear time series with varying levels of predictability. It was then applied to HP variability series measured from healthy subjects during head-up tilt test, showing that short-te…

Series (mathematics)Degree (graph theory)Computer Science Applications1707 Computer Vision and Pattern Recognitionk-nearest neighbors algorithmTerm (time)Nonlinear systemPosition (vector)Control theorySettore ING-INF/06 - Bioingegneria Elettronica E InformaticaComputer Science Applications1707 Computer Vision and Pattern Recognition; Cardiology and Cardiovascular MedicineTime seriesPredictabilityCardiology and Cardiovascular MedicineAlgorithmMathematics
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A correction method for dynamic analysis of linear continuous systems

2005

A method to improve the dynamic response analysis of continuous classically damped linear system is proposed. As in fact usually, following a classical approach, a reduced number of eigenfunctions are accounted for and the response is evaluated by integrating the uncoupled differential equations of motion in modal space, neglecting the contribution of high frequency modes (truncation procedure). Here, starting from the given system, it is proposed to set up two differential equations governing the motion of two new continuous systems: the first one contains only the first m non-zero eigenvalues of the given system and the second one contains the remainder non-zero infinity - m eigenvalues. …

Series (mathematics)Differential equationTruncationMechanical EngineeringLinear systemEquations of motionContinuous time systemModal analysiDynamic analysiComputer Science ApplicationsMethod of undetermined coefficientsDynamic responseControl theoryModeling and SimulationStress concentrationApplied mathematicsGeneral Materials ScienceDynamic loadDynamic methodEigenvalues and eigenvectorsCivil and Structural EngineeringMathematics
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Deep learning for agricultural land use classification from Sentinel-2

2020

[ES] En el campo de la teledetección se ha producido recientemente un incremento del uso de técnicas de aprendizaje profundo (deep learning). Estos algoritmos se utilizan con éxito principalmente en la estimación de parámetros y en la clasificación de imágenes. Sin embargo, se han realizado pocos esfuerzos encaminados a su comprensión, lo que lleva a ejecutarlos como si fueran “cajas negras”. Este trabajo pretende evaluar el rendimiento y acercarnos al entendimiento de un algoritmo de aprendizaje profundo, basado en una red recurrente bidireccional de memoria corta a largo plazo (2-BiLSTM), a través de un ejemplo de clasificación de usos de suelo agrícola de la Comunidad Valenciana dentro d…

Series temporalesTime series010504 meteorology & atmospheric sciencesComputer scienceRemote sensing applicationGeography Planning and Development0211 other engineering and technologiesDecision treelcsh:G1-92202 engineering and technologyClasificaciónMachine learningcomputer.software_genre01 natural sciencesBiLSTMClassifier (linguistics)Earth and Planetary Sciences (miscellaneous)Spatial analysis021101 geological & geomatics engineering0105 earth and related environmental sciencesArtificial neural networkbusiness.industryDeep learningDeep learningClassificationRandom forestSupport vector machineArtificial intelligenceSentinel-2businesscomputerlcsh:Geography (General)
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Ovine Catarrhal fever (bluetongue): Analysis of Culicoides species in seropositive farms

2010

Bluetongue (BT) is an orbiviral disease of wild and domestic ruminants, mainly sheep. In Sicily, the first Bluetongue outbreak occurred in October 2000; there have been 76 recorded outbreaks so far. The National Surveillance Plan, based on European Union Commission Decision 138/2001/CE, establishes serological and entomological surveys. This plan consists of controls of seronegative cattle, called 'sentry' as indicators for the presence and circulation of virus in defined areas. To check the seroconversions, the regional territory has been subdivided in 400 km2 areas including 58 seronegative cattle, periodically checked by serological tests. All positive sera have been tested to detect the…

SerotypeBluetongue; Culicoides; Serotype; Sicily; VectorsAnimalsAgricultureCattleVectorsCeratopogonidaeSentinel SurveillanceBluetongueCulicoideSicilyBluetongue virusInsect Vectors
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On Automaton Recognizability of Abnormal Extremals

2002

For a generic single-input planar control system $\dot x=F(x)+ u G(x),$ $x\in\mathbb{R}^2,$ $u\in [-1,1]$, $F(0)=0$, we analyze the properties of abnormal extremals for the minimum time stabilization to the origin. We prove that abnormal extremals are finite concatenations of bang arcs with switchings occurring on the set in which the vector fields F and G are collinear. Moreover, all the generic singularities of one parametric family of extremal trajectories near to abnormal extremals are studied. In particular, we prove that all possible sequences of these singularities, and hence all generic abnormal extremals, can be classified by a set of words recognizable by an automaton.

Set (abstract data type)Discrete mathematicsControl and OptimizationPlanarApplied MathematicsControl systemVector fieldGravitational singularityParametric familyOptimal controlAutomatonMathematicsSIAM Journal on Control and Optimization
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A Scatter Search Algorithm for the Split Delivery Vehicle Routing Problem

2008

In this chapter we present a metaheuristic procedure constructed for the special case of the Vehicle Routing Problem in which the demands of clients can be split, i.e., any client can be serviced by more than one vehicle. The proposed algorithm, based on the scatter search methodology, produces a feasible solution using the minimum number of vehicles. The quality of the obtained results is comparable to the best results known up to date on a set of instances previously published in the literature.

Set (abstract data type)Mathematical optimizationSearch algorithmComputer sciencemedia_common.quotation_subjectVehicle routing problemQuality (business)Destination-Sequenced Distance Vector routingSpecial caseRouting (electronic design automation)Metaheuristicmedia_common
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A New Metaheuristic for the Vehicle Routing Problem with Split Demands

2007

In this paper we present a metaheuristic procedure constructed for the special case of the Vehicle Routing Problem in which the demands of the clients can be split, i.e., any client can be serviced by more than one vehicle. The proposed algorithm, based on the scatter search methodology, produces a feasible solution using the minimum number of vehicles. The results obtained compare with the best results known up to date on a set of instances previously published in the literature.

Set (abstract data type)Mathematical optimizationStatic routingVehicle routing problemDestination-Sequenced Distance Vector routingSpecial caseMetaheuristicTabu searchMathematics
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Efficient Local Search Limitation Strategies for Vehicle Routing Problems

2008

In this paper we examine five different strategies for limiting the local search neighborhoods in the context of vehicle routing problems. The vehicle routing problem deals with the assignment of a set of transportation orders to a fleet of vehicles, and the sequencing of stops for each vehicle to minimize transportation costs. The examined strategies are applied to three standard neighborhoods and implemented in a recently suggested powerful memetic algorithm. Experimental results on 26 well-known benchmark problems indicate significant speedups of almost 80% without worsening the solution quality. On the contrary, in 12 cases new best solutions were obtained.

Set (abstract data type)Mathematical optimizationbusiness.industryComputer scienceMultipath routingVehicle routing problemBenchmark (computing)Memetic algorithmContext (language use)Local search (optimization)Destination-Sequenced Distance Vector routingbusiness
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Nonlocal Minimal Surfaces and Nonlocal Curvature

2019

Recall that if a set E has minimal local perimeter in a bounded set Ω, then it has zero mean curvature at each point of ∂E ∩ Ω (see [51]), and the equation that says that the curvature is equal to zero is the Euler–Lagrange equation associated to the minimization of the perimeter of a set.

Set (abstract data type)PerimeterMinimal surfaceBounded set (topological vector space)Mathematical analysisZero (complex analysis)Point (geometry)MinificationCurvatureMathematics
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