Search results for "value"

showing 10 items of 5321 documents

Full modal analysis of confocal coaxial elliptical waveguides

2000

An efficient method for analysing confocal coaxial elliptical waveguides is presented. Using elliptical coordinates, the differential Helmholtz equation is transformed into a linear matrix eigenvalue problem by means of the method of moments. The expressions of the vector mode functions for the full spectrum of these guides are constructed, including the TEM, TM and TE modes. The convergence of the method is very good, giving an efficient and accurate code. Comparisons with numerical results found in the technical literature validate the presented theory.

Helmholtz equationComputer Networks and Communicationsbusiness.industryModal analysisMethod of moments (statistics)Transverse modeOpticsConvergence (routing)Electrical and Electronic EngineeringCoaxialbusinessEigenvalues and eigenvectorsElliptic coordinate systemMathematicsIEE Proceedings - Microwaves, Antennas and Propagation
researchProduct

Extension of the line element-less method to dynamic problems

2020

The line element-less method is an efficient approach for the approximate solution of the Laplace or biharmonic equation on a general bidimensional domain. Introducing generalized harmonic polynomials as approximation functions, we extend the line element-less method to the inhomogeneous Helmholtz equation and to the eigenvalue problem for the Helmholtz equation. The obtained approximate solutions are critically discussed and advantages as well as limitations of the approach are pointed out.

Helmholtz equationLaplace transformLine elementMechanical EngineeringHarmonic (mathematics)02 engineering and technologyLaplace equationLine element-less methodCondensed Matter Physics01 natural sciences020303 mechanical engineering & transports0203 mechanical engineeringDynamic problemMechanics of Materials0103 physical sciencesLine (geometry)Biharmonic equationApplied mathematicsHelmholtz equationSettore ICAR/08 - Scienza Delle Costruzioni010301 acousticsEigenvalues and eigenvectorsMathematics
researchProduct

Monotonicity and local uniqueness for the Helmholtz equation

2017

This work extends monotonicity-based methods in inverse problems to the case of the Helmholtz (or stationary Schr\"odinger) equation $(\Delta + k^2 q) u = 0$ in a bounded domain for fixed non-resonance frequency $k>0$ and real-valued scattering coefficient function $q$. We show a monotonicity relation between the scattering coefficient $q$ and the local Neumann-Dirichlet operator that holds up to finitely many eigenvalues. Combining this with the method of localized potentials, or Runge approximation, adapted to the case where finitely many constraints are present, we derive a constructive monotonicity-based characterization of scatterers from partial boundary data. We also obtain the local…

Helmholtz equationMathematics::Number Theorylocalized potentialsBoundary (topology)Monotonic function01 natural sciencesDomain (mathematical analysis)inversio-ongelmat35R30 35J05symbols.namesakeMathematics - Analysis of PDEs35J050103 physical sciencesFOS: MathematicsUniquenessHelmholtz equation0101 mathematicsinverse coefficient problemsEigenvalues and eigenvectorsMathematicsNumerical AnalysisApplied Mathematics010102 general mathematicsMathematical analysisMathematics::Spectral Theorymonotonicitystationary Schrödinger equation35R30Helmholtz free energyBounded functionsymbols010307 mathematical physicsmonotonicity localized potentialsAnalysisAnalysis of PDEs (math.AP)
researchProduct

Effect of Stem Snapping on Aspen Timber Assortment Recovery in Hemiboreal Forests

2020

Post-disturbance salvage logging mitigates economic loss after windthrow, and the value of salvaged timber is strongly linked to its quality and dimensions. We studied the occurrence of wind-induced damage of aspen in the hemiboreal forests of Latvia based on data from the National Forest Inventory and additional measurements. Individual tree data from three re-measurement periods were linked to follow a tree condition (live, broken, uprooted) and to link tree characteristics to a respective snag. Three linear models were developed to assess factors affecting the snapping height. An assortment outcome was calculated for undamaged and salvaged trees using the bucking algorithm, and timber va…

HemiborealDiameter at breast height<i>Populus tremula</i>wind damageForestrylcsh:QK900-989Windthrowstem breakageSnagwindthrowAnimal sciencetimber value reductionBreakagelcsh:Plant ecologyVolume reductionTree (set theory)Salvage loggingMathematicsForests
researchProduct

Endemic hepatitis C virus infection in a Sicilian town: Further evidence for iatrogenic transmission

2002

The prevalence of and risk factors for HCV and HBV infections in the general population and the predictive value of ALT screening in identifying anti-HCV positive subjects have been evaluated in a small Sicilian town. A random 1:4 sampling from the census of the general population was performed. Anti-HCV, HCV-RNA, HCV genotype, HBsAg, and anti-HBc were tested. The linkage between HCV infection and potential risk factors was evaluated by multiple logistic regression analysis. Among 721 subjects studied, 75 (10.4%) were anti-HCV positive. The HCV infection rate increased from 0.4% in subjects 10–29 years of age to 34% in those > 60 years of age. Among the 75 anti-HCV positive subjects, 66.7% …

Hepatitis B virusHBsAgeducation.field_of_studybusiness.industryIncidence (epidemiology)Populationvirus diseasesHepatitis CHepatitis Bmedicine.diseasemedicine.disease_causeVirologydigestive system diseasesInfectious DiseasesVirologyPredictive value of testsmedicineViral diseaseeducationbusinessJournal of Medical Virology
researchProduct

Expression of the 60 kDa heat shock protein in normal and inflamed liver.

1993

The 60 kDa heat shock proteins (HSP 60) have been well conserved throughout evolution and are highly immunogenic. Cross-reactivity between bacterial and mammalian HSP 60 is considered a likely mechanism in the pathogenesis of autoimmune diseases. T cell and B cell reactivity to HSP 60 is found in patients with rheumatoid or juvenile arthritis, and the expression of HSP 60 in the inflamed joint is found to be increased. In this study the presence of HSP 60 was demonstrated in normal and inflamed lives. HSP 60 was found to be predominantly expressed in hepatocytes and Kupffer cells, and mainly localized in mitochondria. Heat stress in the form of a 1 h incubation at 42 degrees C increased HSP…

HepatitisHepatologyT cellKupffer cellInflammationAutoimmune hepatitisChaperonin 60Biologymedicine.diseaseMolecular biologyHepatitisPathogenesismedicine.anatomical_structureLiverReference ValuesHeat shock proteinImmunologyChronic DiseasemedicineHumansmedicine.symptomB cellHeat-Shock ProteinsJournal of hepatology
researchProduct

Pharmacokinetic properties of recombinant FVIIa in inherited FVII deficiency account for a large volume of distribution at steady state and a prolong…

2014

Pharmacokinetic properties of recombinant FVIIa in inherited FVII deficiency account for a large volume of distribution at steady state and a prolonged pharmacodynamic effect -

HeredityPharmacokinetic inherited Factor VII deficiencyFactor VII DeficiencySocio-culturaleFactor VIIaPharmacologySeverity of Illness IndexPharmacokineticsPredictive Value of Testshemic and lymphatic diseasesHumansMedicineGenetic Predisposition to DiseaseFVII deficiencyRegistriescardiovascular diseasesBlood CoagulationVolume of distributionbiologyCoagulantsbusiness.industryVascular biologyrFVIIaHematologyFactor VIIRecombinant ProteinsPhenotypeTreatment OutcomerFVIIa; FVII deficiency; pharmacokineticsRecombinant factor VIIaPharmacodynamicsbiology.proteinBlood Coagulation TestsSteady state (chemistry)Drug Monitoringbusinesspharmacokinetics
researchProduct

Dynamics of the caring family

2003

When several individuals simultaneously provide for offspring, as in families, the effort of any one individual will depend on the efforts of the other family members. This conflict of interest among family members is made more complicated by their relatedness because relatives share genetic interest to some degree. The conflict resolution will also be influenced by the differences in reproductive value between breeders and helpers. Here, we calculate evolutionarily stable provisioning efforts in families with up to two helpers. We explicitly consider that the behavioral choices are made in a life-history context, and we also consider how group sizes change dynamically; this affects, for ex…

Hereditycooperative breedingContext (language use)provisioning effortsBiologymedicine.disease_causeModels BiologicalNesting BehaviorConflict PsychologicalCooperative breedingConflict resolutionHereditymedicineAnimalsESSFamilyCooperative Behaviorevolutionary conflict.Ecology Evolution Behavior and SystematicsEcologyEcologyReproductionInclusive fitnessProvisioningFeeding BehaviorBiological EvolutionStepfamilyfamily dynamicsReproductive valueload lighteningEnergy MetabolismSocial psychology
researchProduct

An optimal Poincaré-Wirtinger inequality in Gauss space

2013

International audience; Let $\Omega$ be a smooth, convex, unbounded domain of $\mathbb{R}^N$. Denote by $\mu_1(\Omega)$ the first nontrivial Neumann eigenvalue of the Hermite operator in $\Omega$; we prove that $\mu_1(\Omega) \ge 1$. The result is sharp since equality sign is achieved when $\Omega$ is a $N$-dimensional strip. Our estimate can be equivalently viewed as an optimal Poincaré-Wirtinger inequality for functions belonging to the weighted Sobolev space $H^1(\Omega,d\gamma_N)$, where $\gamma_N$ is the $N$% -dimensional Gaussian measure.

Hermite operatorHermite polynomialsGeneral Mathematics010102 general mathematicsGaussMathematics::Spectral TheorySpace (mathematics)Gaussian measure01 natural sciencesOmega35B45; 35P15; 35J70CombinatoricsSobolev spaceSettore MAT/05 - Analisi Matematica0103 physical sciencesDomain (ring theory)[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Neumann eigenvaluesharp bounds010307 mathematical physics0101 mathematicsSign (mathematics)MathematicsMathematical Research Letters
researchProduct

The equality case in a Poincaré–Wirtinger type inequality

2016

It is known that, for any convex planar set W, the first non-trivial Neumann eigenvalue μ1 (Ω) of the Hermite operator is greater than or equal to 1. Under the additional assumption that Ω is contained in a strip, we show that β1 (Ω) = 1 if and only if Ω is any strip. The study of the equality case requires, among other things, an asymptotic analysis of the eigenvalues of the Hermite operator in thin domains.

Hermite operatorsymbols.namesakePure mathematicsNeumann eigenvaluesSettore MAT/05 - Analisi MatematicaHermite operator Neumann eigenvalues thin stripsGeneral MathematicsPoincaré conjecturesymbolsType inequalityThin stripsMathematicsRendiconti Lincei - Matematica e Applicazioni
researchProduct