Search results for "maximum"

showing 10 items of 753 documents

The forgotten mathematical legacy of Peano

2019

International audience; The formulations that Peano gave to many mathematical notions at the end of the 19th century were so perfect and modern that they have become standard today. A formal language of logic that he created, enabled him to perceive mathematics with great precision and depth. He described mathematics axiomatically basing the reasoning exclusively on logical and set-theoretical primitive terms and properties, which was revolutionary at that time. Yet, numerous Peano’s contributions remain either unremembered or underestimated.

PeanoPeano's axioms of arithmeticPeano's counterexamplesWeierstrass maximum theoremabstract measuresGeneral MathematicsClosure (topology)tangencyinterioranti-distributive familiesfoundationdefinitions by abstractionlinear differential equationsaxiom of choiceLogical conjunctionPeano axiomsproofFormal languageAxiom of choiceMSC: Primary 01A55 01A6003-03 26-03 28-03 34-03 54-03; Secondary15A75 26A03 26A2426B25 26B05 28A1228A15 28A75.affine exterior algebra[MATH]Mathematics [math]reduction formulaeMathematicsnonlinear differential equationsoptimality conditionsdifferentiation of measuressweeping-tangent theoremPeano's axioms of geometryPeano's filling curvereduction of mathematics to setssurface areaclosuremean value theoremDirichlet functionNonlinear differential equationssubtangentsEpistemologymeasure theoryplanar measurelower and upper limits of setsdistributive familiescompactnessmathematical definitions1886 existence theoremdifferentiabilityDissertationes Mathematicae
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Investigations of Low Temperature Phase Transitions in BiFeO3Ceramic by Infrared Spectroscopy

2011

In this paper, results of new infrared FIR-MIR measurements (wavenumber range of 4000–100 cm−1) in the range of the temperature 300 ÷ 8 K of the BiFeO3 ceramic are presented. Below 200 K only one symmetric band at ca. 800 cm−1 is visible. The full width at half maximum of this band decreases exponentially on cooling. The shape of the band at ca. 545 cm−1connected with A1 (TO) mode also changes between 60–40 K, this is in the vicinity of the phase transition at 50 K. Initially a broad band reveals its components as shoulder bands. Theirs FWHM decrease with cooling.

Phase transitionMaterials sciencemultiferroicsInfraredbusiness.industryInfrared spectroscopyH bandbismuth ferriteCondensed Matter PhysicsMolecular physicsElectronic Optical and Magnetic MaterialsFull width at half maximumchemistry.chemical_compoundOpticschemistryvisual_artBiFeO_3IRvisual_art.visual_art_mediumWavenumberCeramicbusinessBismuth ferriteFerroelectrics
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Deep-blue thermally activated delayed fluorescence (TADF) emitters for light-emitting electrochemical cells (LEECs)

2017

The authors acknowledge the University of St Andrews for financial support. The authors also acknowledge financial support from the European Union H2020 project INFORM (grant 675867), the Spanish Ministry of Economy and Competitiveness (MINECO) via the Unidad de Excelencia María de Maeztu MDM-2015-0538, MAT2014-55200 and the Generalitat Valenciana (Prometeo/2016/135). MLP acknowledges support from a Grisolia grant (GRISOLIA/2015/A/146). Two deep blue thermally activated delayed fluorescence (TADF) emitters ( imCzDPS and imDPADPS ) that contain charged imidazolium groups tethered to the central luminophore were designed and synthesized as small molecule organic emitters for light-emitting e…

PhotoluminescenceMaterials scienceDopingNanotechnologyDAS02 engineering and technologyGeneral ChemistryElectroluminescenceNanosecond010402 general chemistry021001 nanoscience & nanotechnologyPhotochemistryQD Chemistry01 natural sciences7. Clean energyFluorescence0104 chemical sciencesFull width at half maximumchemistry.chemical_compoundMicrosecondchemistryMaterials ChemistryLuminophoreQD0210 nano-technology
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Fiber-based planar antennas for spectroscopy and sensing

2021

Fluorescence detection is a well-established method for spectroscopy and sensing. However, since dye molecules are dipolar light sources, a large fraction of the emitted photons can be lost. An effective approach to overcome this problem relies on a planar antenna configuration, which beams the radiation pattern of the dye into a narrow cone. A planar antenna works like a Yagi-Uda antenna, but reflector and director elements are made of thin metal films. Here, by introducing a scanning optical fiber, which incorporates the reflector or the director, we demonstrate a tunable planar antenna for spectroscopic and sensing applications. Our results show that the radiation pattern narrows down to…

PhotonOptical fiberMaterials sciencebusiness.industryPhysics::OpticsReflector (antenna)law.inventionRadiation patternFull width at half maximumDipoleOpticslawAntenna (radio)businessSpectroscopyNanoscale Imaging, Sensing, and Actuation for Biomedical Applications XVIII
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The Phylogenetic position of Daubentonia madagascariensis (Gmelin, 1788; primates, Strepsirhini) as revealed by chromosomal analysis

2012

One of the major topics in primate evolution is the phylogenetic position of the bizarre Daubentonia madagascariensis (DMA, aye-aye). The principal points that have been discussed for many decades are whether the aye-aye is: (i) the sister group of primates; (ii) the sister group of strepsirhines; or (iii) the sister group of lemurs. Very little is known about Daubentonia evolution, particularly on the chromosomal background. The present report focuses on the chromosomal history of this species. We used available chromosome painting data as the main source to identify conserved chromosomes, chromosomal segments and syntenic associations that have characterized the aye-aye karyotype. The dat…

Phylogenetic treeLineage (evolution)StrepsirhiniLemurKaryotypeDaubentonia Bayesian analysis Chromosomal evolution Phylogeny PrimatologyBiologySettore BIO/08 - AntropologiaMaximum parsimonyMonophylySister groupEvolutionary biologybiology.animalGeneticsGeneral Agricultural and Biological Sciences
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Phylogeographic analysis of the red seaweed Palmaria palmata reveals a Pleistocene marine glacial refugium in the English Channel

2005

Phylogeography has provided a new approach to the analysis of the postglacial history of a wide range of taxa but, to date, little is known about the effect of glacial periods on the marine biota of Europe. We have utilized a combination of nuclear, plastid and mitochondrial genetic markers to study the biogeographic history of the red seaweed Palmaria palmata in the North Atlantic. Analysis of the nuclear rDNA operon (ITS1-5.8S-ITS2), the plastid 16S-trnI-trnA-23S-5S, rbcL-rbcS and rpl12-rps31-rpl9 regions and the mitochondrial cox2-3 spacer has revealed the existence of a previously unidentified marine refugium in the English Channel, along with possible secondary refugia off the southwes…

PhylogeographyPleistoceneRefugium (population biology)Palmaria palmataEcologyGeneticsLast Glacial MaximumGlacial periodBiologybiology.organism_classificationQuaternaryEcology Evolution Behavior and SystematicsCoalescent theoryMolecular Ecology
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The Carpathians as a Major Diversity Hotspot in Europe

2011

The Carpathians are one of the major mountain ranges of Europe, but still one of its least studied regions. It is increasingly recognized that they played a major role in the formation and Pleistocene survival of numerous continental, arctic, and arctic–alpine taxa. Many endemic taxa have been described from these mountains. The number of phylogeographic/phylogenetic studies covering at least partially the Carpathians is also increasing. These studies reveal unevenly distributed genetic and taxonomic diversity. In this work, we analyse population genetic structures in the Carpathians revealed by case studies on aquatic insects, comparing them to existing literature data on plants, butterfli…

Phylogeographyeducation.field_of_studyTaxonGeographyArcticPleistoceneEcologyAquatic insectPopulationGenetic structureLast Glacial Maximumeducation
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Towards the time-optimal control of dissipative spin-1/2 particles in nuclear magnetic resonance

2011

International audience; We consider the time-optimal control of a spin 1/2 particle whose dynamics is governed by the Bloch equations with both longitudinal and transverse relaxation terms. We solve this control problem by using geometric optimal control techniques. We show the crucial role of singular extremals in the time-optimal synthesis. This role can mainly be attributed to the presence of dissipation. We also analyze the robustness of the optimal control sequence when both the maximum amplitude of the control field and the dissipative parameters are varied. Finally, we present an experimental implementation of the different solutions using techniques of Nuclear Magnetic Resonance.

Physics32.80.QkDissipationCondensed Matter PhysicsTime optimalOptimal control01 natural sciencesAtomic and Molecular Physics and Optics010305 fluids & plasmasNuclear magnetic resonanceBloch equationsTransverse relaxationRobustness (computer science)0103 physical sciences03.65.Yz78.20.BhDissipative system010306 general physicsMaximum amplitude
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Collapse and revival of a Dicke-type coherent narrowing in potassium vapor confined in a nanometric-thin cell

2015

A nanometer-thin-cell (in the direction of laser beam propagation) has been elaborated with the thickness of the atomic vapor column varying smoothly in the range of $L = \unit[50-1500]{nm}$. The cell allows one to study the behavior of the resonance absorption over the $D_1$ line of potassium atoms by varying the laser intensity and the cell thickness from $L = \lambda / 2$ to $L = 2 \lambda$ with the step $\lambda/2$ ($\lambda =\unit[770]{nm}$ is the resonant wavelength of the laser). It is shown that despite the huge Doppler broadening ($>\unit[0.9]{GHz}$ at the cell temperature $\unit[170]{^{\circ}C}$), at low laser intensities a narrowing of the resonance absorption spectrum is observe…

PhysicsAbsorption spectroscopyAtomic Physics (physics.atom-ph)FOS: Physical sciencesPhysics::OpticsCondensed Matter PhysicsLaser01 natural sciencesAtomic and Molecular Physics and Opticslaw.inventionPhysics - Atomic Physics010309 opticsOptical pumpingWavelengthFull width at half maximumLaser linewidthlaw0103 physical sciencesPhysics::Atomic PhysicsAtomic physics010306 general physicsLine (formation)Doppler broadening
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High Resolution Spectroscopy of 4U 1728-34 from a Simultaneous Chandra-RXTE Observation

2004

We report on a simultaneous Chandra and RossiXTE observation of the LMXB atoll bursting source 4U 1728-34 performed on 2002 March 3-5. We fitted the 1.2-35 keV continuum spectrum with a blackbody plus a Comptonized component. An overabundance of Si by a factor of ~2 with respect to Solar abundance is required for a satisfactory fit. Large residuals at 6-10 keV can be fitted by a broad (FWHM ~ 1.6 keV) Gaussian emission line, or, alternatively, by absorption edges associated with Fe I and Fe XXV at ~7.1 keV and ~9 keV, respectively. In this interpretation, we find no evidence of a broad, or narrow Fe Kalpha line, between 6 and 7 keV. We tested our alternative modeling of the iron Kalpha regi…

PhysicsAstrophysics::High Energy Astrophysical PhenomenaAstrophysics (astro-ph)Continuum (design consultancy)X-ray binaries X-ray sources X-ray bursts Spectroscopy and spectrophotometry X-rayFOS: Physical sciencesHigh resolutionAstrophysicsAstrophysicsFull width at half maximumBlack-body radiationEmission spectrumAbsorption (electromagnetic radiation)SpectroscopyLine (formation)
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