Search results for "Intersection"

showing 10 items of 213 documents

An automata-theoretic approach to the study of the intersection of two submonoids of a free monoid

2008

We investigate the intersection of two finitely generated submonoids of the free monoid on a finite alphabet. To this purpose, we consider automata that recognize such submonoids and we study the product automata recognizing their intersection. By using automata methods we obtain a new proof of a result of Karhumaki on the cha- racterization of the intersection of two submonoids of rank two, in the case of prefix (or suffix) generators. In a more general setting, for an arbitrary number of generators, we prove that if H and K are two finitely generated submonoids generated by prefix sets such that the product automaton associated to H ∩ K has a given special property then �(H ∩ K) ≤ �(H)�(K…

Discrete mathematicsGenerator (category theory)General MathematicsCharacterization (mathematics)Computer Science ApplicationsCombinatoricsPrefixMathematics Subject ClassificationIntersectionFree monoidProduct (mathematics)Rank (graph theory)Computer Science::Formal Languages and Automata TheorySoftwareAutomata Theory Free MonoidsMathematics
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Nondeterministic Unitary OBDDs

2017

We investigate the width complexity of nondeterministic unitary OBDDs (NUOBDDs). Firstly, we present a generic lower bound on their widths based on the size of strong 1-fooling sets. Then, we present classically “cheap” functions that are “expensive” for NUOBDDs and vice versa by improving the previous gap. We also present a function for which neither classical nor unitary nondeterminism does help. Moreover, based on our results, we present a width hierarchy for NUOBDDs. Lastly, we provide the bounds on the widths of NUOBDDs for the basic Boolean operations negation, union, and intersection.

Discrete mathematicsHierarchy (mathematics)Intersection (set theory)010102 general mathematics0102 computer and information sciencesFunction (mathematics)Computer Science::Computational Complexity01 natural sciencesUpper and lower boundsUnitary stateNondeterministic algorithmCombinatoricsNegation010201 computation theory & mathematicsBoolean operations in computer-aided design0101 mathematicsMathematics
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Intersection subgroups of complex hyperplane arrangements

2000

Abstract Let A be a central arrangement of hyperplanes in C n , let M( A ) be the complement of A , and let L ( A ) be the intersection lattice of A . For X in L ( A ) we set A X ={H∈ A : H⫆X} , and A /X={H/X: H∈ A X } , and A X ={H∩X: H∈ A \ A X } . We exhibit natural embeddings of M( A X ) in M( A ) that give rise to monomorphisms from π 1 (M( A X )) to π 1 (M( A )) . We call the images of these monomorphisms intersection subgroups of type X and prove that they form a conjugacy class of subgroups of π 1 (M( A )) . Recall that X in L ( A ) is modular if X+Y is an element of L ( A ) for all Y in L ( A ) . We call X in L ( A ) supersolvable if there exists a chain 0⫅X 1 ⫅⋯⫅X d =X in L ( A ) …

Discrete mathematicsIntersection subgroupCommensuratorLattice (group)Center (category theory)Type (model theory)Characterization (mathematics)Centralizer and normalizerCombinatoricsConjugacy classModular elementArrangement of hyperplanesGeometry and TopologyMathematicsArrangement of hyperplanesTopology and its Applications
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Tangency conditions for multivalued mappings

1996

We prove that interiority conditions imply tangency conditions for two multivalued mappings from a topological space into a normed vector space. As a consequence, we obtain the lower semicontinuity of the intersection of two multivalued mappings. An application to the epi-upper semicontinuity of the sum of convex vector-valued mappings is given.

Discrete mathematicsMathematics::Functional AnalysisIntersectionMathematics::Complex VariablesApplied MathematicsRegular polygonMathematics::General TopologyTangentTopological spaceAnalysisNormed vector spaceMathematicsSet-Valued Analysis
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About Graph Unions and Intersections

2020

Summary In this article the union and intersection of a set of graphs are formalized in the Mizar system [5], based on the formalization of graphs in [7].

Discrete mathematicsgraph theoryApplied Mathematics020207 software engineeringgraph intersection0102 computer and information sciences02 engineering and technology68v20Computer Science::Digital Libraries01 natural sciencesComputational Mathematicsgraph union010201 computation theory & mathematicsComputer Science::Mathematical SoftwareQA1-9390202 electrical engineering electronic engineering information engineering05c76Graph (abstract data type)MathematicsMathematicsofComputing_DISCRETEMATHEMATICSMathematicsFormalized Mathematics
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Two- and three-state conical intersections in the electron capture dissociation of disulfides: The importance of multireference calculations

2011

The SS bond cleavage produced upon electron attachment to disulfides was generally assumed to be an adiabatic process because the added electron occupies the σ*(SS) antibonding orbital. This is clearly the case in the parent HSSH compound, but not necessarily in XSSX′ derivatives, where the substituents X and X′ are different. Through the use of MS-CASPT2 calculations, we have shown that the dissociation of the SS two-center-three-electron bond in these asymmetric XSSX′ compounds requires the interaction of at least two states, in order to localize the extra electron in one of the fragments upon dissociation. This is actually the case for the CH3SSNH2 derivative, where the most favorable di…

Electron-capture dissociationAb initio quantum chemistry methodsChemistryComputational chemistryElectron captureElectronPhysical and Theoretical ChemistryConical intersectionCondensed Matter PhysicsAntibonding molecular orbitalAtomic and Molecular Physics and OpticsDissociation (chemistry)Bond cleavageInternational Journal of Quantum Chemistry
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Modeling traffic safety at urban four leg-signalized intersections

2013

According to the state-of-the-art of the methodologies, the development of safety performance functions (SPFs) for road sections and intersections requires the employment of statistical models to predict expected crash frequencies on the basis of traffic volumes and site characteristics to be surveyed and used as input to models. Nevertheless, literature reports several studies on issues deriving from data features or methodological approaches that may invalidate the efficiency of the models and the accuracy of the estimates. Drawing inspiration from the above mentioned considerations, the objective of this study is to develop safety performance functions for a sample of urban four leg-sign…

EngineeringBasis (linear algebra)urban signalized intersectionsbusiness.industryCrashSample (statistics)Statistical modelTemporal correlationtransportation safetyTransport engineeringcrash analysissafety performance functionTraffic crashSettore ICAR/04 - Strade Ferrovie Ed AeroportiStatistical dispersionCrash databusiness
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Performance Analysis of Basic Turbo-Roundabouts in Urban Context

2012

AbstractA turbo roundabout is a new type of canalized multilane intersection in which the physical separation between lanes helps to prevent side collisions when crossing the roundabout. This paper presents an estimation of capacity, delays and level of service of basic turbo roundabouts in undersaturation conditions, considering both vehicle flow and pedestrian traffic. The traffic performance model was developed by evaluating the capacity for each entry lane. Owing to the geometric features of the intersection, the total entry capacity is obtained by considering different values of the pedestrian impedance factor and degree of saturation at both the right-turn and left-turn lanes.

EngineeringDelaybiologyCapacitybusiness.industryLevel of serviceTurboDegree of saturationPoison controlContext (language use)Traffic flowbiology.organism_classificationTransport engineeringIntersectionTurbo roundaboutsRoundaboutTurbo roundabouts pedestrians capacity delay level of serviceSettore ICAR/04 - Strade Ferrovie Ed AeroportiGeneral Materials SciencebusinessLevel of servicePedestrians
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Crossing a Multi-Lane Street: Irrelevant Cars Increase Unsafe Behavior

2011

Before crossing a road or an intersection, road users have to determine among the surrounding traffic whether or not they have enough time to safely complete their maneuver. Temporal judgments have been investigated for single cars approaching an intersection, however, close to nothing is known about how street-crossing decisions are being made when several vehicles are simultaneously approaching in two adjacent lanes. We conducted a simulator experiment in which observers indicated whether or not they had enough time to complete safe street crossing. Traffic gaps were presented either with a single or two oncoming cars on different lanes, in such a way that in all cases, only the shortest …

EngineeringEnvironmental EngineeringCARREFOURlcsh:QR1-502Street crossinglcsh:Microbiologylcsh:Physiology050105 experimental psychologyIndustrial and Manufacturing EngineeringTransport engineering03 medical and health sciences0302 clinical medicineIntersectionlcsh:Zoology11. SustainabilityCONDUITE DU VEHICULE0501 psychology and cognitive scienceslcsh:QL1-991Road userlcsh:QP1-981[SDV.NEU.PC]Life Sciences [q-bio]/Neurons and Cognition [q-bio.NC]/Psychology and behaviorbusiness.industry05 social sciencesCOMPORTEMENT DU CONDUCTEURbusiness030217 neurology & neurosurgeryBIO Web of Conferences
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Estimation of air pollutant emissions in flower roundabouts and in conventional roundabouts

2013

Abstract The road pollutant emissions, above all in urban context, are correlated to many infrastructural parameters and to traffic intensity and typology. The research work on road junction geometry, carried out in European research centres, has recently allowed to design new road intersection types which are of undoubted interest, especially in terms of traffic functionality and safety, like the flower roundabouts (in which right-turn manoeuvres do not conflict with the circulating flow). The main objective of this paper is to propose a model for the estimation the capacity, delay, levels of service and the pollutant emissions into flower roundabouts. A comparative analysis between conven…

EngineeringFlower roundabouts conventional roundabouts capacity delay pollutant emissionsdelayPollutant emissionsAir pollutionContext (language use)Flower roundabouts; conventional roundabouts; capacity; pollutant emissions; delaymedicine.disease_causepollutant emissionsTransport engineeringmedicineSettore ICAR/04 - Strade Ferrovie Ed AeroportiCivil and Structural EngineeringEstimationFlower roundaboutsbusiness.industryLevel of servicecapacityconventional roundaboutsEnvironmental engineeringlcsh:TA1-2040Roundaboutlcsh:Engineering (General). Civil engineering (General)businessVehicular EmissionsIntersection (aeronautics)
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