Search results for "Abstract data type"

showing 10 items of 1140 documents

A nicely behaved singular integral on a purely unrectifiable set

2001

We construct an example of a purely 1-unrectifiable AD-regular set E in the plane such that the limit

Set (abstract data type)Plane (geometry)Applied MathematicsGeneral MathematicsMathematical analysisMathematics::Metric GeometryLimit (mathematics)Construct (python library)Singular integralMathematicsProceedings of the American Mathematical Society
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Individual measurements and nested designs in aquaculture experiments: a simulation study

1998

Simple and nested models for analysis of variance (ANOVA) in aquaculture experiments were compared with the help of computer simulations. Simple models for analysing variables that are based on tank means, such as final weight and growth rate, were found to be sensitive to differences in the number of individual observations in each tank. In comparison to nested models that take into account individual measurements, the simple models were found to overestimate the F ratio and increase the risk of committing type I error, i.e., accepting a false alternative hypothesis. Further, nested models permit greater flexibility in experimental design, and allow more economical solutions within a given…

Set (abstract data type)Power analysisAlternative hypothesisStatisticsStatistical modelReplicateAquatic ScienceBiologyStatistical powerType I and type II errorsNested set modelAquaculture
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Left-to-right tree pattern matching

1991

We propose a new technique to construct left-to-right matching automata for trees. Our method is based on the novel concept of prefix unifcation which is used to compute a certain closure of the pattern set. From the closure a kind of deterministic matching automaton can be derived immediately. We also point out how to perform the construction incrementally which makes our approach suitable for applications in which pattern sets change dynamically, such as in the Knuth-Bendix completion algorithm.

Set (abstract data type)PrefixFunctional programmingTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESMatching (graph theory)Computer scienceClosure (topology)Point (geometry)Construct (python library)AlgorithmAutomaton
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ADC based measurements: Identification of the parameters for the uncertainty evaluation

2009

In the last years, many Authors have dealt with the uncertainty evaluation of the measurement performed by using an analog-to-digital converter, proposing different approach to analyze the uncertainty propagation. In all these studies, it is clearly pointed out that starting from the manufacturer specifications is the least expensive, the least time consuming and, often, the most accurate way to assess the uncertainties. However, the Authors, which have proposed methodologies for the uncertainty assessment, use different parameters as starting point. One of the main reasons which has caused this situation is the coexistent of various Standards concerning the characterization of the analog-t…

Set (abstract data type)Propagation of uncertaintyIdentification (information)EngineeringData acquisitionbusiness.industryElectronic engineeringMeasurement uncertaintyPoint (geometry)Sensitivity analysisbusinessUncertainty analysisReliability engineering2009 IEEE International Workshop on Advanced Methods for Uncertainty Estimation in Measurement
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Volumetric Reconstruction of Unorganized Set of Points with Implicit Surfaces

2005

Many solutions exist to rebuild a three-dimensional object represented by a set of points. The purpose of our work is to provide an automatic reconstruction from an unorganized cloud, describing an unknown shape, in the aim to compute its volume. The approach employed in this paper consists in filling the object's interior with isosurfaces of potential fields and to use their fusion property in order to find the full volume and the continuous shape of the sampled object. Thus, the first step of our reconstruction is to search a correct interior for the object described by the set of points. Then, comes the positioning of implicit primitives into the cloud, deep inside of it and close to the…

Set (abstract data type)Property (programming)business.industryComputer scienceBoundary (topology)Computer visionArtificial intelligenceObject (computer science)businessVolumetric reconstructionVolume (compression)
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Quasiregular mappings and Young measures

2002

W1,p-gradient Young measures supported in the set Q2(K) of two-dimensional K-quasiconformal matrices are studied. We prove that these Young measures can be generated by gradients of K-quasiregular mappings. This leads, for example, to the 0-1 law for quasiregular W1,p-gradient Young measures and other quasiregular properties such as higher integrability.

Set (abstract data type)Pure mathematicsGeneral MathematicsMathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
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The Kp Hierarchy

1989

As an application of the theory of infinite-dimensional Grassmannians and the representation theory of gl1 we shall study in this chapter certain nonlinear “exactly solvable” systems of differential equations. Exactly solvable means here that the nonlinear system can be transformed to an (infinite-dimensional) linear problem. A prototype of the equations is the Korteweg-de Vries equation $$\frac{{\partial u}}{{\partial t}} = \frac{3}{3}u\frac{{\partial u}}{{\partial x}} + \frac{1}{4}\frac{{{\partial ^3}u}}{{\partial {x^3}}}$$ . It turns out that it is more natural to consider an infinite system of equations like that above, for obtaining explicit solutions. The set of equations is called th…

Set (abstract data type)Pure mathematicsNonlinear systemNonlinear Sciences::Exactly Solvable and Integrable SystemsHierarchy (mathematics)Differential equationGrassmannianKdV hierarchySystem of linear equationsRepresentation theoryMathematics
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Primitive rispetto all’ oscillazione

2002

We study the real valued functions having a primitive with respect to the oscillation or a primitive with respect to the oscillation up to anegligible set.

Set (abstract data type)Pure mathematicsOscillationGeneral MathematicsData_MISCELLANEOUSHardware_INTEGRATEDCIRCUITSHardware_PERFORMANCEANDRELIABILITYAlgebra over a fieldMathematicsRendiconti del Circolo Matematico di Palermo
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A Note on the Density of Rational Functions in A ∞(Ω)

2018

We present a sufficient condition to ensure the density of the set of rational functions with prescribed poles in the algebra A ∞ (Ω).

Set (abstract data type)Pure mathematicsPadé approximantRational functionAlgebra over a fieldMathematics
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Rasiowa–Sikorski Sets and Forcing

2018

The paper is concerned with the problem of building models for first-order languages from the perspective of the classic paper of Rasiowa and Sikorski (1950). The central idea, due to Rasiowa and Sikorski and developed in this paper, is constructing first-order models from individual variables. The notion of a Rasiowa–Sikorski set of formulas of an arbitrary language L is introduced. Investigations are confined to countable languages. Each Rasiowa–Sikorski set defines a countable model for L. Conversely, each countable model for L is determined, up to isomorphism, by some Rasiowa–Sikorski set. Consequences of these facts are investigated.

Set (abstract data type)Pure mathematicsPerspective (geometry)Forcing (recursion theory)Countable setIsomorphismMathematics
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