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Response determination of linear dynamical systems with singular matrices: A polynomial matrix theory approach

2017

Abstract An approach is developed based on polynomial matrix theory for formulating the equations of motion and for determining the response of multi-degree-of-freedom (MDOF) linear dynamical systems with singular matrices and subject to linear constraints. This system modeling may appear for reasons such as utilizing redundant DOFs, and can be advantageous from a computational cost perspective, especially for complex (multi-body) systems. The herein developed approach can be construed as an alternative to the recently proposed methodology by Udwadia and coworkers, and has the significant advantage that it circumvents the use of pseudoinverses in determining the system response. In fact, ba…

Multibody system0209 industrial biotechnologyMathematical optimizationPolynomialApplied Mathematics02 engineering and technologyLinear constrained structural/mechanical systemPolynomial matrix theoryMatrix multiplicationPolynomial matrixMatrix polynomialLinear dynamical systemMatrix (mathematics)020303 mechanical engineering & transports020901 industrial engineering & automation0203 mechanical engineeringMatrix splittingModeling and SimulationApplied mathematicsMatrix analysisClosed form solutionSingular matrixMathematics
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Human brain evolution : how the increase of brain plasticity made us a cultural species

2016

Why are humans so different from other primate species? What makes us so capable of creating language, art and music? The specializations in human brain anatomy that are responsible for our unique behavioral and cognitive traits evolved over a very short period of evolutionary time (between six and eight million years). Recent evidence suggests that, alongside a reorganization of the brain and an increase in its size, neural plasticity may also play a major role in explaining the evolutionary history of our species. Plasticity is the propensity of the brain to be molded by external influences, including the ecological, social and cultural context. The impact of these environmental influence…

MultidisciplinaryEcology05 social sciencesCultural contextEight millionClose relativesCognitionHuman brainBiology050105 experimental psychology03 medical and health sciences0302 clinical medicinemedicine.anatomical_structureHistory and Philosophy of ScienceEvolutionary biologyNeuroplasticitymedicine0501 psychology and cognitive sciences030217 neurology & neurosurgery
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Closed injective ideals of multilinear operators, related measures and interpolation

2020

[EN] We introduce and discuss several ways of extending the inner measure arisen from the closed injective hull of an ideal of linear operators to the multilinear case. In particular, we consider new measures that allow to characterize the operators that belong to a closed injective ideal of multilinear operators as those having measure equal to zero. Some interpolation formulas for these measures, and consequently interpolation results involving ideals of multilinear operators, are established. Examples and applications related to summing multilinear operators are also shown.

Multilinear mapPure mathematicsIdeal (set theory)Ideal of multilinear operatorsGeneral MathematicsZero (complex analysis)Measure associated to an idealMeasure (mathematics)Injective functionInterpolationClosed idealInjective idealInner measureInjective hullMATEMATICA APLICADAInterpolationMathematics
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Graphic Analysis Between Teaching and Research. Mario Ridolfi Unbuilt

2017

The graphic analysis in absentia, moving between thought and work, tries to track down, through digital surveys, a consistent path of design process. For many years now, the digital has changed the communication architecture processes that have always been areas of critics and representation. Architecture, indeed, can be told with texts, and new and unreleased representations wandering the sites of fruitful interaction between theoretical production and digital processing. The purpose of this study is to tell two projects, through unpublished images, about a little-known Ridolfi, through the close relationship between history, drawing and project.

MultimediaClose relationshipComputer scienceRepresentation (arts)Architecturecomputer.software_genreCommunication architecturecomputerGraphic analysisVisual arts
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The parent-nurse relationship in the neonatal intensive care unit context - closeness and emotional involvement

2008

Aim and background:  Family-centred care, which acknowledges parents as partners in care, is a desirable and essential part of neonatal nursing. There has been extensive research on parents’ experiences of parenting in neonatal intensive care units (NICU), but there is little research on nurses’ experiences of being in these enduring close relationships. The aim of this paper is to explore parents’ and nurses’ experiences of the close parent–nurse relationship when a premature child is hospitalized. Method:  The design was exploratory with a hermeneutic approach. The methods used were participant observation and in-depth interviews with six mothers, six fathers and six nurses in a Norwegian…

Neonatal intensive care unitClosenessPublic Health Environmental and Occupational HealthContext (language use)Participant observationNorwegianlanguage.human_languageDevelopmental psychologyNursingIntensive carelanguageNeonatal nursingPsychologyDeclaration of HelsinkiScandinavian Journal of Caring Sciences
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Population of neutron-rich nuclei around 48ca with deep inelastic collisions

2009

The deep inelastic reaction 48Ca+64Ni at 6 MeV/A has been studied using the CLARA–PRISMA setup. Angular distributions for pure elastic scattering and total cross-sections of the most relevant transfer channels have been measured. The experimental results are compared with predictions from a semiclassical model, showing good agreement for the presently analyzed few neutrons transfer channels. The decay of the most intense reaction products has also been studied, giving indications of the population of states with very short lifetimes. Gadea Raga, Andrés, Gadea.Andres@ific.uv.es

Neutron-rich nucleiReacción InelásticaUNESCO::FÍSICAUNESCO::FÍSICA::Nucleónica::Física de partículasInelastic collision Neutron-rich nuclei Reaction products Semiclassical model Transfer channel; Angular distribution; CalciumReaction productsCanales de transmisiónSemiclassical modelCLARA–PRISMAReacción Inelástica ; CLARA–PRISMA ; Distribuciones angulares ; Secciones cruzadas ; Modelo semiclásico ; Canales de transmisión ; Muy corta vidaInelastic collisionDistribuciones angularesdeep inelastic reaction; semiclassical model; closed shell nuceli:FÍSICA [UNESCO]:FÍSICA::Nucleónica::Física de partículas [UNESCO]Muy corta vidaTransfer channelSecciones cruzadasCalciumAngular distributionModelo semiclásico
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The Closed-Form Solution for a Family of Four-Dimension Non-Linear MHDS

2002

In this paper I propose a method for solving in closed form a general class of four-dimension non-linear modified Hamiltonian dynamic systems. This method may be used to study several intertemporal optimization problems with a predetermined structure, involving unbounded technological constraints as well as multiple controls and state variables. The method is developed here by solving the first order conditions corresponding to the socially optimal solution to the Lucas (1988) two-sector model of endogenous growth.

Nonlinear systemClass (set theory)State variableEndogenous growth theoryDimension (vector space)Structure (category theory)Applied mathematicsClosed-form expressionMathematical economicsHamiltonian (control theory)MathematicsSSRN Electronic Journal
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On fully ramified Brauer characters

2014

Let Z be a normal subgroup of a finite group, let p≠5 be a prime and let λ∈IBr(Z) be an irreducible G-invariant p-Brauer character of Z. Suppose that λG=eφ for some φ∈IBr(G). Then G/Z is solvable. In other words, a twisted group algebra over an algebraically closed field of characteristic not 5 with a unique class of simple modules comes from a solvable group.

Normal subgroupDiscrete mathematicsModular representation theoryPure mathematicsFinite groupBrauer's theorem on induced charactersGeneral Mathematics010102 general mathematics010103 numerical & computational mathematicsGroup algebra01 natural sciencesCharacter (mathematics)Solvable group0101 mathematicsAlgebraically closed fieldMathematicsAdvances in Mathematics
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Algebraically closed groups in locally finite group classes

1987

Normal subgroupFinite groupPure mathematicsProfinite groupLocally finite groupCA-groupAlgebraically closed fieldMathematics
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The exponent for superalgebras with superinvolution

2018

Abstract Let A be a superalgebra with superinvolution over a field of characteristic zero and let c n ⁎ ( A ) , n = 1 , 2 , … , be its sequence of ⁎-codimensions. In [6] it was proved that such a sequence is exponentially bounded. In this paper we capture this exponential growth for finitely generated superalgebras with superinvolution A over an algebraically closed field of characteristic zero. We shall prove that lim n → ∞ ⁡ c n ⁎ ( A ) n exists and it is an integer, denoted exp ⁎ ⁡ ( A ) and called ⁎-exponent of A. Moreover, we shall characterize finitely generated superalgebras with superinvolution according to their ⁎-exponent.

Numerical AnalysisSequencePure mathematicsAlgebra and Number TheoryExponentSuperinvolution010102 general mathematicsZero (complex analysis)Exponent; Exponential growth; SuperinvolutionField (mathematics)010103 numerical & computational mathematics01 natural sciencesExponential growthSuperalgebraIntegerBounded functionExponentDiscrete Mathematics and CombinatoricsGeometry and Topology0101 mathematicsAlgebraically closed fieldSuperinvolution Exponent Exponential growthMathematics
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