Search results for " Root"

showing 10 items of 627 documents

On Sets of Words of Rank Two

2019

Given a (finite or infinite) subset X of the free monoid A∗ over a finite alphabet A, the rank of X is the minimal cardinality of a set F such that X⊆ F∗. A submonoid M generated by k elements of A∗ is k-maximal if there does not exist another submonoid generated by at most k words containing M. We call a set X⊆ A∗ primitive if it is the basis of a |X|-maximal submonoid. This extends the notion of primitive word: indeed, w is a primitive set if and only if w is a primitive word. By definition, for any set X, there exists a primitive set Y such that X⊆ Y∗. The set Y is therefore called a primitive root of X. As a main result, we prove that if a set has rank 2, then it has a unique primitive …

Hidden repetitionPrimitive setExistential quantificationBinary rootk-maximal monoidPseudo-repetitionBasis (universal algebra)CombinatoricsSet (abstract data type)RepetitionCardinalityFree monoidRank (graph theory)Primitive root modulo nComputer Science::Formal Languages and Automata TheoryWord (group theory)Mathematics
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On the computation of intersection numbers for twisted cocycles

2020

Intersection numbers of twisted cocycles arise in mathematics in the field of algebraic geometry. Quite recently, they appeared in physics: Intersection numbers of twisted cocycles define a scalar product on the vector space of Feynman integrals. With this application, the practical and efficient computation of intersection numbers of twisted cocycles becomes a topic of interest. An existing algorithm for the computation of intersection numbers of twisted cocycles requires in intermediate steps the introduction of algebraic extensions (for example square roots), although the final result may be expressed without algebraic extensions. In this article I present an improvement of this algorith…

High Energy Physics - TheoryPure mathematicsScalar (mathematics)FOS: Physical sciencesStatistical and Nonlinear PhysicsField (mathematics)Mathematical Physics (math-ph)Algebraic geometryHigh Energy Physics - PhenomenologyMathematics - Algebraic GeometryHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Square rootIntersectionProduct (mathematics)ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: MathematicsAlgebraic numberAlgebraic Geometry (math.AG)Mathematical PhysicsVector space
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Phenotyping plant root and their interaction with soil micro-organisms

2014

International audience

High Throughput Plant Phenotyping Platform (PPHD)[SDV] Life Sciences [q-bio][SDE] Environmental Sciencesplant microorganism relationshipsnodulated root imaging;[SDV]Life Sciences [q-bio][SDE]Environmental Sciences[SDV.BV]Life Sciences [q-bio]/Vegetal Biology[SDV.BV] Life Sciences [q-bio]/Vegetal BiologyComputingMilieux_MISCELLANEOUS
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Modeling the hydrological and mechanical effect of roots on shallow landslides

2016

This study proposes a new methodology for estimating the additional shear strength (or cohesion) exerted by vegetation roots on slope stability analysis within a coupled hydrological-stability model. The mechanical root cohesion is estimated within a Fiber Bundle Model framework that allows for the evaluation of the root strength as a function of stress-strain relationships of populations of fibers. The use of such model requires the knowledge of the root architecture. A branching topology model based on Leonardo's rule is developed, providing an estimation of the amount of roots and the distribution of diameters with depth. The proposed methodology has been implemented into an existing dis…

Hillslope instabilityVegetation root cohesionRoot topological modelSettore ICAR/02 - Costruzioni Idrauliche E Marittime E IdrologiaShallow landslidesHillslope instability; Hydrological modeling; Root topological model; Shallow landslides; Vegetation root cohesion; Water Science and TechnologyShallow landslideHydrological modelingWater Science and Technology
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Unemployment Hysteresis in Transition Countries: Evidence using Stationarity Panel Tests with Breaks

2008

The authors test hysteresis versus the natural rate hypothesis in unemployment using panel data for transition countries covering the period 1991:1–2003:11.The advantages of the stationarity tests applied is that they exploit the cross-section variations of the series and, additionally, allow for a different number of endogenous breakpoints in the unemployment series. They do not impose independence on the panel members, so that the critical values are simulated based on their specific panel sizes and time periods. The findings stress the importance of accounting for exogenous shocks in the series and give support to the shifting natural-rate hypothesis of unemployment for all the countries…

HistèresiPanel unit root testsSeries (mathematics)media_common.quotation_subjectHysteresisGeography Planning and DevelopmentStructural breakDevelopmentHysteresis (economics)UnemploymentEconometricsEconomicsTransition countriesStructural breakmedia_commonPanel data
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Micropropagation ofAgeratum houstonianumby nodal segments

2017

Ageratum houstonianum is a bedding and flowering potted plant originated from Central America which is generally propagate by seed. In this report a preliminary in vitro technique for propagation of A. houstonianum was investigated. In vitro germinated seeds were used to establish aseptic shoot cultures of several clones. Seedling stem segments bearing 3-4 nodes were placed on Murashige and Skoog (MS) basal medium plus 20 g L-1 sucrose, 8.0 g L-1 Agar to induce axillary shoot development. Axillary shoots were subcultured into the same medium and nodal segments were sectioned and subcultured to increase the stock of shoot cultures. Shoot cultures of the selected clone AG14 were used to accom…

HorticultureMicropropagationshoot multiplication floss flower in vitro rooting axillary shootsSettore AGR/04 - Orticoltura E FloricolturaHorticultureBiologyNODALbiology.organism_classificationAgeratum houstonianumActa Horticulturae
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Dynamics of dry matter partitioning in young ‘Nocellara del Belice’ olive trees

2008

Dry matter partitioning of ‘Nocellara del Belice’ olive (Olea europaea L.) trees was assessed during one growing season. Four three-year-old potted trees from rooted cuttings trained to single-trunk free-canopy were destructively harvested at 30-day intervals during the growing season. The average dry matter increase was about 2 kg · year-1 per tree. Total plant dry weight increased linearly over the year, whereas root to shoot ratio followed a quadratic trend with its peak during winter. Dry matter of all canopy parts (trunk, branches, 1-year-old shoots, and leaves) increased linearly and leaves exhibited the fastest growth. Also fine roots accumulated dry matter over the year in a linear …

Horticulturecoarse roots fine roots growth potted trees root:shoot ratioDry matterHorticultureBiologyRoot shoot ratioOlive trees
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Thermoplastic Properties of Endodontic Gutta-percha: A Thermographic In Vitro Study

2014

Abstract Introduction Endodontic gutta-percha undergoes deformation at temperatures above 65°C. The temperature influence of heat carriers on gutta-percha cones was investigated in vitro. Methods Six single-rooted extracted teeth were embedded in resin and fixed. The root canals were prepared (ProFile; Dentsply Maillefer, Ballaiques, Switzerland) to different tapers and bisected. Thermographic images when heating the gutta-percha cones (Roeko, Langenau, Germany) with a heat carrier (ML .12; SybronEndo, Orange, CA) at 1 and 5 mm from the working length were made with an infrared thermal imaging camera (ThermaCam P640; Flir Systems, Taby, Sweden). The device temperature was preset at 200°C. T…

Hot TemperatureMaterials scienceThermoplasticSurface PropertiesHeat carrierIn Vitro TechniquesRoot Canal Filling MaterialsThermal conductivityRoot Canal ObturationMaterials TestingHumansIn vitro studyTooth RootComposite materialMean radiant temperaturePenetration depthGeneral Dentistrychemistry.chemical_classificationbiologyThermal ConductivityGutta-perchabiology.organism_classificationIncisorchemistryThermographyInfrared thermal imagingGutta-PerchaRoot Canal PreparationJournal of Endodontics
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Intrapulpal temperature changes during root surface irradiation with an 809-nm GaAlAs laser

2002

The aim of this study was to explore, in vitro, whether the irradiation of human root surfaces with a diode laser might induce nonphysiologic intrapulpal temperature elevations and, therefore, jeopardize pulp vitality.The pulps were removed from human maxillary and mandibular incisors extracted for periodontal reasons. The root canals were enlarged to an apical size #60 file. The teeth were radiographed with standard dental films and a millimeter grid to determine root thickness. The thickness of dentin between the root surface and the pulp in the irradiation areas was 1, 2, and 3 mm. To determine intrapulpal temperature changes during laser irradiation, 0.5-mm K-type thermocouples were ins…

Hot TemperatureOptical fiberMaterials scienceRoot surfaceDentistryIn Vitro TechniquesStatistics NonparametricBody Temperaturelaw.inventionstomatognathic systemlawThermocoupleTooth pulp stimulationDentinmedicineHumansPeriodontal PocketIrradiationTooth RootGeneral DentistryDental Pulpbusiness.industryLasersDose-Response Relationship RadiationLaserIncisorstomatognathic diseasesmedicine.anatomical_structureSemiconductorsOtorhinolaryngologyDentinPulp (tooth)SurgeryOral SurgerybusinessBiomedical engineeringOral Surgery, Oral Medicine, Oral Pathology, Oral Radiology, and Endodontology
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Coexpression of heat-evoked and capsaicin-evoked inward currents in acutely dissociated rat dorsal root ganglion neurons.

1997

Noxious heat is able to activate heat-sensitive nociceptors in the skin very rapidly, but little is known about the mechanisms by which heat is transduced. We used the whole-cell patch-clamp technique to study the effects of noxious heat and capsaicin on freshly dissociated rat dorsal root ganglion neurons in vitro. Using temperatures between 41 degrees C and 53 degrees C, 8 of 19 small neurons (phior = 30 microm) exhibited a heat-evoked inward current. All heat-sensitive neurons tested were also capsaicin-sensitive. Moreover, the heat response tended to be enhanced after capsaicin (360 +/- 150 pA versus 125 +/- 45 pA, P0.1, n = 7). Two of five heat-insensitive neurons were excited by capsa…

Hot TemperaturePatch-Clamp TechniquesCentral nervous systemRats Sprague-Dawley03 medical and health scienceschemistry.chemical_compound0302 clinical medicineDorsal root ganglionGanglia SpinalmedicineAnimalsPatch clamp030304 developmental biologyCell SizeNeurons0303 health sciencesGeneral NeuroscienceReproducibility of ResultsSpinal cordSensory neuronRatsmedicine.anatomical_structureNociceptionnervous systemchemistryCapsaicinNociceptorBiophysicsCapsaicinNeuroscience030217 neurology & neurosurgeryNeuroscience letters
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