Search results for "square"

showing 10 items of 1317 documents

Elements with square roots in compact groups

2010

The probability that a randomly chosen element has a square root is studied in [1, 2, 8] in the finite case. Here we deal with the infinite case.

Discrete mathematicselements with square rootFunctional square rootGeneral MathematicsprobabilityFinite casecompact groupsUnit squareCombinatoricsSettore MAT/02 - AlgebraSquare rootSettore MAT/05 - Analisi MatematicaSettore MAT/03 - GeometriaElement (category theory)Square numberMathematics
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DECLINE IN US OUTPUT GROWTH VOLATILITY: A WAVELET ANALYSIS*

2012

The aim of the paper is to determine (endogenously) whether the volatility of the US output growth rate has changed since the late 1940s. By applying the discrete wavelet transform to the annualized quarter-to-quarter output growth series, we test the homogeneity of the variance on a scale-by-scale basis. A version of the Normalized and Centered Cumulative Sum of Squares test, adapted to wavelets, leads us to reject the null of constant variance in the two levels of decomposition of the highest resolution and to locate a single break in 1982. The economic implications are explored.

Discrete wavelet transformEconomics and EconometricsWaveletHomogeneity (statistics)StatisticsExplained sum of squaresEconometricsEconomicsGrowth rateVolatility (finance)The Manchester School
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Monte Carlo simulation of many-arm star polymers in two-dimensional good solvents in the bulk and at a surface

1991

A Monte Carlo technique is proposed for the simulation of statistical properties of many-arm star polymers on lattices. In this vectorizing algorithm, the length of each arml is increased by one, step by step, from a starting configuration withl=1 orl=2 which is generated directly. This procedure is carried out for a large sample (e.g., 100,000 configurations). As an application, we have studied self-avoiding stars on the square lattice with arm lengths up tol max=125 and up tof=20 arms, both in the bulk and in the geometry where the center of the star is adsorbed on a repulsive surface. The total number of configurations, which behaves asN∼l γ G–1μ fl , whereμ=2.6386 is the usual effective…

Distribution functionCoordination numberMonte Carlo methodStatistical and Nonlinear PhysicsGeometryStar (graph theory)Radial distribution functionSquare latticeMolecular physicsCritical exponentMathematical PhysicsSelf-avoiding walkMathematicsJournal of Statistical Physics
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Detecting tri‐stability of 3D models with complex attractors via meshfree reconstruction of invariant manifolds of saddle points

2018

In mathematical modeling it is often required the analysis of the vector field topology in order to predict the evolution of the variables involved. When a dynamical system is multi-stable the trajectories approach different stable states, depending on the initialmconditions. The aim of this work is the detection of the invariant manifolds of thesaddle points to analyze the boundaries of the basins of attraction. Once that a sufficient number of separatrix points is found a Moving Least Squares meshfree method is involved to reconstruct the separatrix manifolds. Numerical results are presented to assess the method referring to tri-stable models with complex attractors such as limit cycles o…

Dynamical systems Invariant manifolds Separatrix Meshfree method Moving Least Squares.Dynamical systems theorySeparatrixGeneral MathematicsMathematical analysisGeneral Engineering3d model010103 numerical & computational mathematics01 natural sciences010101 applied mathematicsSettore MAT/08 - Analisi NumericaSaddle pointAttractor0101 mathematicsMoving least squaresInvariant (mathematics)MathematicsMathematical Methods in the Applied Sciences
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Quality evaluation of grapes for mechanical harvest using vis NIR spectroscopy

2019

Mechanical harvest of grapes is one of the operations that mostly influence the quality of the future wine. The shaking frequency of the harvesting machine is usually adjusted on the basis of the grape berry characteristics in order to limit grape juice production that is a potential cause of uncontrolled fermentations. These evaluations usually require time, personnel and laboratory analyses. The introduction of a vis NIR system to rapidly and reliably evaluate the berry properties in field before mechanical harvest could be a good alternative. The aim of this study was to evaluate the feasibility of applying vis NIR spectroscopy as a non-destructive technique on grapes cv. Syrah and Chard…

DynamometerOrdinary least square (OLS)Non-destructive analysiSettore AGR/09 - Meccanica AgrariaDetachment force
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Event-Related Potentials (ERP) Indices of Motivation during the Effort Expenditure for Reward Task

2020

Dynamic and temporal facets of the various constructs that comprise motivation remain to be explored. Here, we adapted the Effort Expenditure for Reward Task, a well-known laboratory task used to evaluate motivation, to study the event-related potentials associated with reward processing. The Stimulus Preceding Negativity (SPN) and the P300 were utilized as motivation indicators with high density electroencephalography. The SPN was found to be more negative for difficult choices compared to easy choices, suggesting a greater level of motivation, at a neurophysiological level. The insula, a structure previously associated with both effort discounting and prediction error, was concomitantly a…

EEfRTMean squared prediction errorHigh densityElectroencephalographyStimulus (physiology)effortSPN050105 experimental psychologyArticlelcsh:RC321-57103 medical and health sciences0302 clinical medicinemotivationEvent-related potentialmedicine0501 psychology and cognitive sciencesP300lcsh:Neurosciences. Biological psychiatry. NeuropsychiatryDiscountingmedicine.diagnostic_testGeneral Neuroscience05 social sciencesNeurophysiologyPsychologyInsula030217 neurology & neurosurgeryCognitive psychologyBrain Sciences
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A Critical Comparison of Remote Sensing Leaf Area Index Estimates over Rice-Cultivated Areas: From Sentinel-2 and Landsat-7/8 to MODIS, GEOV1 and EUM…

2018

Leaf area index (LAI) is a key biophysical variable fundamental in natural vegetation and agricultural land monitoring and modelling studies. This paper is aimed at comparing, validating and discussing different LAI satellite products from operational services and customized solution based on innovative Earth Observation (EO) data such as Landsat-7/8 and Sentinel-2A. The comparison was performed to assess overall quality of LAI estimates for rice, as a fundamental input of different scale (regional to local) operational crop monitoring systems such as the ones developed during the "An Earth obseRvation Model based RicE information Service" (ERMES) project. We adopted a multiscale approach f…

Earth observation010504 meteorology & atmospheric sciencesMean squared errorRice crops0211 other engineering and technologies02 engineering and technology01 natural sciencesLandsat-7/8Agricultural landGEOV1ValidationmedicineLeaf Area Index (LAI)Leaf area index021101 geological & geomatics engineering0105 earth and related environmental sciencesRemote sensing2. Zero hungerSentinel-2AVegetation15. Life on landSeasonalitymedicine.diseaseMODISLeaf Area Index (LAI); rice crops; Sentinel-2A; Landsat-7/8; EUMETSAT Polar System; MODIS; GEOV1; validationEUMETSAT Polar SystemGeneral Earth and Planetary SciencesEnvironmental scienceSatelliteScale (map)Remote Sensing; Volume 10; Issue 5; Pages: 763
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Testing Multi-Sensors Time Series of Lai Estimates to Monitor Rice Phenology: Preliminary Results

2018

Timely and accurate information on crop growth and seasonal dynamics are increasingly needed to develop monitoring systems aimed to detect seasonal anomalies, support site specific management and estimate crop yield at the end of the season. In particular, frequent decametric information nowadays being provided exploiting the new generation of Earth Observation (EO) platforms are fundamental for farm level monitoring. This study presents an analysis aimed at fully exploiting dense time series of EO data derived from the combined use of ESA Sentinel-2A and NASA Landsat-7/8 imageries for crop phenological monitoring. Decametric Leaf Area Index (LAI) maps were generated for the year 2016 by in…

Earth observationTime series010504 meteorology & atmospheric sciencesMean squared errorCrop yield0211 other engineering and technologiesAgriculture02 engineering and technology01 natural sciencesLAIData modelingAtmospheric radiative transfer codesPhenologyKrigingEnvironmental scienceRiceSentinel-2Leaf area indexTime seriesLandsatCrop management021101 geological & geomatics engineering0105 earth and related environmental sciencesRemote sensingIGARSS 2018 - 2018 IEEE International Geoscience and Remote Sensing Symposium
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Improvements in land surface temperature retrieval from the Landsat series thermal band using water vapor and air temperature

2009

[1] Land surface temperature (LST) is involved in many land surface processes such as evapotranspiration, net radiation, or air temperature modeling. In this paper we present an improved methodology to retrieve LST from Landsat 4 TM, Landsat 5 TM, and Landsat 7 ETM+ using four atmospheric databases covering different water vapor ranges (from 0 to 8 g cm−2) to build the LST retrieval models and using both water vapor and air temperature as input variables. We also compare this with LST retrievals using only water vapor or only air temperature, as well as with an existing LST retrieval algorithm. In order to validate the results, we have selected 77 Landsat images taken between 2002 and 2006 …

Earth's energy budgetAtmospheric ScienceEcologyMeteorologyMean squared errorPaleontologySoil ScienceForestryAquatic ScienceOceanographyAtmospheric temperatureGeophysicsSpace and Planetary ScienceGeochemistry and PetrologyAir temperatureEvapotranspirationEarth and Planetary Sciences (miscellaneous)Environmental scienceSatelliteModerate-resolution imaging spectroradiometerWater vaporEarth-Surface ProcessesWater Science and TechnologyRemote sensingJournal of Geophysical Research
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Low-dimensional copper(II) complexes with the trinucleating ligand 2,4,6-tris(di-2-pyridylamine)-1,3,5-triazine: synthesis, crystal structures, and m…

2010

The preparation and structural characterization of three new copper(II) complexes of formula [Cu(3)(dipyatriz)(2)(H(2)O)(3)](ClO(4))(6) x 2 H(2)O (1), {[Cu(4)(dipyatriz)(2)(H(2)O)(2)(NO(3))(2)(ox)(2)](NO(3))(2) x 2 H(2)O}(n) (2), and [Cu(6)(dipyatriz)(2)(H(2)O)(9)(NO(3))(3)(ox)(3)](NO(3))(3) x 4 H(2)O (3) [dipyatriz = 2,4,6-tris(di-2-pyridylamine)-1,3,5-triazine and ox = oxalate] are reported. The structure of 1 consists of trinuclear units [Cu(3)(dipyatriz)(2)(H(2)O)(3)](6+) and uncoordinated perchlorate anions. The two dipyatriz molecules in 1 act as tris-bidentate ligands with the triazine cores being in a quasi eclipsed conformation. Each copper atom in 1 exhibits a distorted square pyr…

Eclipsed conformationDenticityLigandchemistry.chemical_elementCrystal structureCopperSquare pyramidal molecular geometryInorganic ChemistryPerchloratechemistry.chemical_compoundCrystallographychemistryPhysical and Theoretical ChemistryTriazineInorganic chemistry
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