Search results for " Linear"

showing 10 items of 643 documents

A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems

2010

We prove a multiplicity result for a class of strongly indefinite nonlinear second order asymptotically linear systems with Dirichlet boundary conditions. The key idea for the proof is to bring together the classical shooting method and the Maslov index of the linear Hamiltonian systems associated to the asymptotic limits of the given nonlinearity.

Class (set theory)Pure mathematicsApplied MathematicsMathematical analysisLinear systemMultiplicity (mathematics)34B15 37J05 53C50Functional Analysis (math.FA)Hamiltonian systemMathematics - Functional AnalysisNonlinear systemsymbols.namesakeShooting methodMathematics - Classical Analysis and ODEsSettore MAT/05 - Analisi MatematicaDirichlet boundary conditionClassical Analysis and ODEs (math.CA)FOS: MathematicssymbolsOrder (group theory)Multiplicity Asymptotically linear BVP Maslov index Phase angleAnalysisMathematics
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Polynomials generated by linear operators

2004

We study the class of Banach algebra-valued n n -homogeneous polynomials generated by the n t h n^{th} powers of linear operators. We compare it with the finite type polynomials. We introduce a topology w E F w_{EF} on E , E, similar to the weak topology, to clarify the features of these polynomials.

Classical orthogonal polynomialsDiscrete mathematicsMacdonald polynomialsDifference polynomialsGegenbauer polynomialsApplied MathematicsGeneral MathematicsDiscrete orthogonal polynomialsHahn polynomialsWilson polynomialsOrthogonal polynomialsOPERADORES NÃO LINEARESMathematicsProceedings of the American Mathematical Society
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Toll-quality digital secraphone

2002

This paper describes the design and performance of a secraphone that, when plugged between any conventional telephone set and the public telephone network, protects the speech information travelling through the PSTN. The device has a transparent operating mode that does not alter the signal and a secure mode, accessed upon request of any of the speakers, that encrypts the speech with digital techniques, assuring privacy against unwanted listeners. At the transmission branch, voice is sampled, coded with a CELP scheme at 9600 bps (with a slow mode at 7200 bps), encrypted with a proprietary algorithm and interfaced to the line with a V.32 modem chip set. The keys for encryption are establishe…

Code-excited linear predictionPublic-key cryptographyTelephone networkComputer sciencebusiness.industrySpeech codingCryptographyTelephonyEncryptionbusinessLinear predictive codingComputer networkProceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications (MELECON 96)
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Prediction of the difficulty level in a standardized reading comprehension test: contributions from cognitive psychology and psychometrics

2013

This research seeks to identify possible predictors of the difficulty level of reading comprehension items used in a standardized psychometric test for university admission. Several potential predictors of difficulty were proposed, namely, propositional density, negations, grammatical structure, vocabulary difficulty, presence of enhancement elements (words highlighted typographically), item abstraction level and degree of similarity between correct option and relevant text to resolve the item. By Linear Logistic Test Model (Fisher, 1973) it was found that the number of propositions, the syntactic structure, and fundamentally, the presence of difficult words contributed to the prediction of…

Cognitive psychology language processing reading comprehension Item Response Theory Linear Logistic Test Model Task Analysis Item difficulty level.PsychometricsItem Response Theorylanguage processingreading comprehensionlcsh:LB5-3640EducationTest (assessment)lcsh:Theory and practice of educationReading comprehensionCognitive psychologyLinear Logistic Test ModelPsychologyTask AnalysisCognitive psychologyRELIEVE - Revista Electrónica de Investigación y Evaluación Educativa
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A Functional Near-Infrared Spectroscopy Examination of the Neural Correlates of Cognitive Shifting in Dimensional Change Card Sort Task

2020

This study aims to examine the neural correlates of cognitive shifting during the Dimensional Change Card Sort Task (DCCS) task with functional near-infrared spectroscopy. Altogether 49 children completed the DCCS tasks, and 25 children (Mage = 68.66, SD = 5.3) passing all items were classified into the Switch group. Twenty children (Mage = 62.05, SD = 8.13) committing more than one perseverative errors were grouped into the Perseverate group. The Switch group had Brodmann Area (BA) 9 and 10 activated in the pre-switch period and BA 6, 9, 10, 40, and 44 in the post-switch period. In contrast, the Perseverate group had BA 9 and 10 activated in the pre-switch period and BA 8, 9, 10 in the pos…

Cognitive shiftingneural correlates050105 experimental psychologylcsh:RC321-571Task (project management)03 medical and health sciencesBehavioral Neuroscience0302 clinical medicinedimensional change card sort taskfunctional near-infrared spectroscopy0501 psychology and cognitive scienceslcsh:Neurosciences. Biological psychiatry. NeuropsychiatryBiological PsychiatryOriginal ResearchGeneral linear modelNeural correlates of consciousness05 social sciencesdevelopmental patternContrast (statistics)Human NeurosciencePsychiatry and Mental healthNeuropsychology and Physiological PsychologyNeurologyCard sortingcognitive shiftingFunctional near-infrared spectroscopyPsychology030217 neurology & neurosurgeryBrodmann areaCognitive psychologyFrontiers in Human Neuroscience
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Partial spreads in finite projective spaces and partial designs

1975

A partial t-spread of a projective space P is a collection 5 p of t-dimensional subspaces of P of the same order with the property that any point of P is contained in at most one element of 50. A partial t-spread 5 p of P is said to be a t-spread if each point of P is contained in an element of 5P; a partial t-spread which is not a spread will be called strictly partial. Partial t-spreads are frequently used for constructions of affine planes, nets, and Sperner spaces (see for instance Bruck and Bose [5], Barlotti and Cofman [2]). The extension of nets to affine planes is related to the following problem: When can a partial t-spread 5 ~ of a projective space P be embedded into a larger part…

CombinatoricsCollineationBlocking setGeneral MathematicsComplex projective spaceProjective spaceProjective planeProjective linear groupQuaternionic projective spaceTwisted cubicMathematicsMathematische Zeitschrift
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Span programs for functions with constant-sized 1-certificates

2012

Besides the Hidden Subgroup Problem, the second large class of quantum speed-ups is for functions with constant-sized 1-certificates. This includes the OR function, solvable by the Grover algorithm, the element distinctness, the triangle and other problems. The usual way to solve them is by quantum walk on the Johnson graph. We propose a solution for the same problems using span programs. The span program is a computational model equivalent to the quantum query algorithm in its strength, and yet very different in its outfit. We prove the power of our approach by designing a quantum algorithm for the triangle problem with query complexity O(n35/27) that is better than O(n13/10) of the best p…

CombinatoricsDiscrete mathematicsGrover's algorithmQuantum phase estimation algorithmSimon's problemQuantum walkQuantum algorithmQuantum algorithm for linear systems of equationsMathematicsQuantum complexity theoryQuantum computerProceedings of the forty-fourth annual ACM symposium on Theory of computing
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Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group

2001

We construct some divisible designs starting from a projective space. These divisible designs admit an orthogonal group or a unitary group as an automorphism group.

CombinatoricsInner automorphismProjective unitary groupUnitary groupQuaternion groupOuter automorphism groupAlternating groupGeneral linear groupMathematicsCircle group
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Stochastic analysis of dynamical systems with delayed control forces

2006

Abstract Reduction of structural vibration in actively controlled dynamical system is usually performed by means of convenient control forces dependent of the dynamic response. In this paper the existent studies will be extended to dynamical systems subjected to non-normal delta-correlated random process with delayed control forces. Taylor series expansion of the control forces has been introduced and the statistics of the dynamical response have been obtained by means of the extended Ito differential rule. Numerical application provided shows the capabilities of the proposed method to analyze stochastic dynamic systems with delayed actions under delta-correlated process contrasting statist…

Computational methods in classical mechanicNumerical AnalysisDynamical systems theoryStochastic processApplied MathematicsStochastic analysis methodsProcess (computing)General linear dynamical systemDynamical systemLinear dynamical systemsymbols.namesakeControl theoryModeling and SimulationTaylor seriessymbolsNonlinear dynamics and nonlinear dynamical systemDifferential (infinitesimal)Reduction (mathematics)MathematicsCommunications in Nonlinear Science and Numerical Simulation
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Nonlinear Robust Control of a Quadratic Boost Converter in a Wide Operation Range, Based on Extended Linearization Method

2022

This paper proposes a control system for a quadratic boost DC/DC converter in a wide range of operations, based on an inner loop with a sliding mode controller, for reaching a desired equilibrium state, and an outer loop with integral-type controller, for assuring robustness against load and input voltage variations and converter parameter uncertainties. The sliding mode controller is designed with the extended linearization method and assures local asymptotic stability, whereas the integral controller is designed using classical frequency methods, and assures input–output stability. It is shown that the proposed controller also deals with the sudden changes in the nominal operating conditi…

Computer Networks and CommunicationsHardware and ArchitectureControl and Systems EngineeringSignal ProcessingExtended linearizationquadratic boost convertersliding mode controlrobustnessElectrical and Electronic Engineeringquadratic boost converter; sliding mode control; extended linearization; robustness
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