Search results for "Regular"

showing 10 items of 855 documents

Efficient learning of regular expressions from good examples

1994

We consider the problem of restoring regular expressions from expressive examples. We define the class of unambiguous regular expressions, the notion of the union number of an expression showing how many union operations can occur directly under any single iteration, and the notion of an expressive example. We present a polynomial time algorithm which tries to restore an unambiguous regular expression from one expressive example. We prove that if the union number of the expression is 0 or 1 and the example is long enough, then the algorithm correctly restores the original expression from one good example. The proof relies on original investigations in theory of covering symbol sequences (wo…

Class (set theory)Theoretical computer scienceRegular languageRegular expressionInductive reasoningComputer experimentAlgorithmTime complexityExpression (mathematics)Symbol (chemistry)Mathematics
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Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions

2021

Abstract We classify positive solutions to a class of quasilinear equations with Neumann or Robin boundary conditions in convex domains. Our main tool is an integral formula involving the trace of some relevant quantities for the problem. Under a suitable condition on the nonlinearity, a relevant consequence of our results is that we can extend to weak solutions a celebrated result obtained for stable solutions by Casten and Holland and by Matano.

Class (set theory)Trace (linear algebra)010102 general mathematicsRegular polygon01 natural sciencesRobin boundary conditionNon-existenceNonlinear systemClassification of solutionsMathematics - Analysis of PDEsSettore MAT/05 - Analisi Matematica0103 physical sciencesQuasilinear anisotropic elliptic equationsFOS: MathematicsLiouville-type theoremApplied mathematics010307 mathematical physicsIntegral formula0101 mathematicsAnalysisMathematicsAnalysis of PDEs (math.AP)
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A new shoreline change assessment approach for erosion management strategies

2022

Shoreline evolution studies are fundamental to assess the rate of beach accretion or retreatment. In the last years, researchers developed many methods with several techniques belonging to different disciplines and backgrounds. Nowadays, the Shoreline Change Analysis (SCA) is the most widespread method to assess shoreline evolution. In fact, the SCA is needed to perform management strategies able to respond to current erosion or potential future erosion problems. This paper presents a new approach using an automatic method for SCA with accuracy and speed improvements. Indeed, in the framework of the management of coastal erosion and to develop an adaptation plan to coastal hazards it is nec…

Coastal erosion management Shoreline change analysis Shoreline irregularity Shoreline roughness Area based analysis Transect based analysisManagement Monitoring Policy and LawAquatic ScienceOceanography
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Modality-specific dysfunctional neural processing of social-abstract and non-social-concrete information in schizophrenia

2021

Highlights • Social/non-social information processing in three modalities was investigated in SZ. • SZ showed reduced activation for social information only in gesture modality. • Reduced activation in SZ was observed for non-social information only in speech. • Neural Neural processing in bimodal condition is not different between patients and controls.

Cognitive NeuroscienceSchizoaffective disorderDysfunctional familylcsh:Computer applications to medicine. Medical informaticsmPFC050105 experimental psychologylcsh:RC346-42903 medical and health sciencesGesture0302 clinical medicineSocialmedicineImage Processing Computer-AssistedHumansSpeech0501 psychology and cognitive sciencesRadiology Nuclear Medicine and imaging10. No inequalityPrefrontal cortexlcsh:Neurology. Diseases of the nervous systemBrain MappingModality (human–computer interaction)medicine.diagnostic_testGestures05 social sciencesRegular ArticleMultimodal processingmedicine.diseaseMagnetic Resonance ImagingNeurologySchizophreniaNeural processingSchizophrenialcsh:R858-859.7Neurology (clinical)PsychologyFunctional magnetic resonance imaging030217 neurology & neurosurgeryCognitive psychologyGestureNeuroImage: Clinical
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The simplex dispersion ordering and its application to the evaluation of human corneal endothelia

2009

A multivariate dispersion ordering based on random simplices is proposed in this paper. Given a R^d-valued random vector, we consider two random simplices determined by the convex hulls of two independent random samples of sizes d+1 of the vector. By means of the stochastic comparison of the Hausdorff distances between such simplices, a multivariate dispersion ordering is introduced. Main properties of the new ordering are studied. Relationships with other dispersion orderings are considered, placing emphasis on the univariate version. Some statistical tests for the new order are proposed. An application of such ordering to the clinical evaluation of human corneal endothelia is provided. Di…

CombinatoricsConvex hullStatistics and ProbabilityNumerical AnalysisHausdorff distanceSimplexMultivariate random variableHausdorff spaceRegular polygonUnivariateStatistical dispersionStatistics Probability and UncertaintyMathematicsJournal of Multivariate Analysis
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A reconstruction algorithm for L-convex polyominoes

2006

AbstractWe give an algorithm that uniquely reconstruct an L-convex polyomino from the size of some special paths, called bordered L-paths.

CombinatoricsConvexityMathematics::CombinatoricsGeneral Computer SciencePolyominoPolyominoesRegular polygonReconstruction algorithmReconstructionComputer Science(all)Theoretical Computer ScienceMathematicsTheoretical Computer Science
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The irregularity strength of circulant graphs

2005

AbstractThe irregularity strength of a simple graph is the smallest integer k for which there exists a weighting of the edges with positive integers at most k such that all the weighted degrees of the vertices are distinct. In this paper we study the irregularity strength of circulant graphs of degree 4. We find the exact value of the strength for a large family of circulant graphs.

CombinatoricsDiscrete mathematicsCirculant graphSimple graphIntegerLabelingDiscrete Mathematics and CombinatoricsCirculant matrixIrregularity strengthGraphTheoretical Computer ScienceMathematicsDiscrete Mathematics
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Incomplete vertices in the prime graph on conjugacy class sizes of finite groups

2013

Abstract Given a finite group G, consider the prime graph built on the set of conjugacy class sizes of G. Denoting by π 0 the set of vertices of this graph that are not adjacent to at least one other vertex, we show that the Hall π 0 -subgroups of G (which do exist) are metabelian.

CombinatoricsDiscrete mathematicsMathematics::Group TheoryVertex-transitive graphAlgebra and Number TheoryCirculant graphGraph powerSymmetric graphNeighbourhood (graph theory)Wheel graphDistance-regular graphComplement graphMathematicsJournal of Algebra
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On languages factorizing the free monoid

1996

A language X⊂A* is called factorizing if there exists a language Y⊂A* such that XY = A* This work was partially supported by ESPRIT-EBRA project ASMICS contact 6317 and project 40% MURST “Algoritmi, Modelli di Calcolo e Strutture Informative”. and the product is unambiguous. First we give a combinatorial characterization of factorizing languages. Further we prove that it is decidable whether a regular language X is factorizing and we construct an automaton recognizing the corresponding language Y. For finite languages we show that it suffices to consider words of bounded length. A complete characterization of factorizing languages with three words and explicit regular expression for the co…

CombinatoricsDiscrete mathematicsRegular languageGeneral MathematicsFree monoidBounded functionProduct (mathematics)Existential quantificationRegular expressionCharacterization (mathematics)DecidabilityMathematics
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The Minimum Amount of Useful Space: New Results and New Directions

2014

We consider minimal space requirements when using memory with restricted access policy (pushdown - hence giving pushdown automata (PDAs), and counter - hence giving counter automata (CAs)) in connection with two-way and realtime head motion. The main results are that: (i) loglogn is a tight space lower bound for accepting general nonregular languages on weak realtime PDAs, (ii) there exist unary nonregular languages accepted by realtime alternating CAs within weak logn space, (iii) there exist nonregular languages accepted by two-way DPADs within strong loglogn space, and, (iv) there exist unary nonregular languages accepted by two-way CAs with quantum and classical states within middle log…

CombinatoricsDiscrete mathematicsRegular languageUnary operationQuantum registerUnary languagePushdown automatonSpace (mathematics)Upper and lower boundsAutomatonMathematics
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