Search results for " Set theory"

showing 10 items of 113 documents

Large‐scale set partitioning problems: Some real‐world instances hide a beneficial structure

2006

In this paper we consider large‐scale set partitioning problems. Our main purpose is to show that real‐world set partitioning problems originating from the container‐trucking industry are easier to tackle in respect to general ones. We show such different behavior through computational experiments: in particular, we have applied both a heuristic algorithm and some exact solution approaches to real‐world instances as well as to benchmark instances from Beasley OR‐library. Moreover, in order to gain an insight into the structure of the real‐world instances, we have performed and evaluated various instance perturbations. Didelės matematinės aibės dalijimo problemų sprendimas, nagrinėjant reali…

Structure (mathematical logic)Mathematical optimizationLagrangian relaxationHF5001-6182real-world instancesEconomic growth development planningScale (descriptive set theory)set partitioningSet (abstract data type)symbols.namesakecontainer-trucking industryinstance perturbationsOR-libraryLagrangian relaxationHD72-88Benchmark (computing)symbolsBusinessFinanceMathematicsTechnological and Economic Development of Economy
researchProduct

Surface temperature and water vapour retrieval from MODIS data

2003

This paper gives operational algorithms for retrieving sea (SST), land surface temperature (LST) and total atmospheric water vapour content (W) using Moderate Resolution Imaging Spectroradiometer (MODIS) data. To this end, the MODTRAN 3.5 radiative transfer program was used to predict radiances for MODIS channels 31, 32, 2, 17, 18 and 19. To analyse atmospheric effects, a simulation with a set of radiosonde observations was used to cover the variability of surface temperature and water vapour concentration on a worldwide scale. These simulated data were split into two sets (DB1 and DB2), the first one (DB1) was used to fit the coefficients of the algorithms, while the second one (DB2) was u…

Surface (mathematics)MeteorologyMODTRANScale (descriptive set theory)Standard deviationlaw.inventionlawRadiative transferRadiosondeGeneral Earth and Planetary SciencesEnvironmental scienceModerate-resolution imaging spectroradiometerWater vaporRemote sensingInternational Journal of Remote Sensing
researchProduct

Tree Singularities: Limits, Series and Stability

2013

A tree singularity is a surface singularity that consists of smooth components, glued along smooth curves in the pattern of a tree. Such singularities naturally occur as degenerations of certain rational surface singularities. To be more precise, they can be considered as limits of certain series of rational surface singularities with reduced fundamental cycle. We introduce a general class of limits, construct series deformations for them and prove a stability theorem stating that under the condition of finite dimensionality of T 2 the base space of a semi-universal deformation for members high in the series coincides up to smooth factor with the “base space of the limit”. The simplest tree…

Surface (mathematics)Tree (descriptive set theory)SingularitySeries (mathematics)Rational surfaceDeformation theoryMathematical analysisGravitational singularityLimit (mathematics)Mathematics
researchProduct

Equi-intensity across the SpectrumTM taste scales

2015

Abstract This work aimed to study the equi-intensity across the Spectrum™ taste scales. The approach consisted of a comparison of four reference points illustrating the same level of intensity across the scales using two very different methods: 2-alternative forced-choice (2-AFC) and Labeled Magnitude Scale (LMS). The comparisons across these scales were based on caffeine, citric acid, sodium chloride, sucrose, and monosodium glutamate in water solutions, at different concentrations, prepared according to the guidelines given for the Spectrum™ method. A scale concerning the umami taste, designed in the spirit of the Spectrum™ scales, was also studied in this work. Both procedures produced s…

TasteNutrition and DieteticsChemistryperceived intensity[ SDV.AEN ] Life Sciences [q-bio]/Food and Nutrition[ SDV.IDA ] Life Sciences [q-bio]/Food engineeringScale (descriptive set theory)Umamispectrum tm scalesbasic tastesBiochemistrylabeled magnitude scale[SDV.IDA]Life Sciences [q-bio]/Food engineeringBiological system2-alternative forced-choice[SDV.AEN]Life Sciences [q-bio]/Food and NutritionIntensity (heat transfer)Food Science
researchProduct

Robust existence of nonhyperbolic ergodic measures with positive entropy and full support

2021

We prove that for some manifolds $M$ the set of robustly transitive partially hyperbolic diffeomorphisms of $M$ with one-dimensional nonhyperbolic centre direction contains a $C^1$-open and dense subset of diffeomorphisms with nonhyperbolic measures which are ergodic, fully supported and have positive entropy. To do so, we formulate abstract conditions sufficient for the construction of an ergodic, fully supported measure $\mu$ which has positive entropy and is such that for a continuous function $\phi\colon X\to\mathbb{R}$ the integral $\int\phi\,d\mu$ vanishes. The criterion is an extended version of the control at any scale with a long and sparse tail technique coming from the previous w…

Transitive relationPure mathematicsHyperbolicityMathematics::Dynamical SystemsDense setContinuous function (set theory)[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Scale (descriptive set theory)Dynamical Systems (math.DS)Measure (mathematics)Theoretical Computer SciencePositive entropyMathematics (miscellaneous)FOS: MathematicsErgodic theory37D25 37D35 37D30 28D99Mathematics - Dynamical SystemsMathematicsCriterion
researchProduct

KARAKTERISTIK MORFOLOGI KANGURU POHON CENDERAWASIH (Dendrolagus ursinus) DI KAWASAN PEGUNUNGAN ARFAK MANOKWARI

2008

<em>This research was carried out to study the morphological charachteristics of the tree kanguroo in the Arfak Mountains, especially in the village of Mokwam and Umbui.  Observation was done on the qualitative and quantitative charachters. Four kanguroo tree was observed during the study</em>

Tree (descriptive set theory)GeographyForestryJurnal Natural
researchProduct

First Retrievals of ASCAT-IB VOD (Vegetation Optical Depth) at Global Scale

2021

Global and long-term vegetation optical depth (VOD) dataset are very useful to monitor the dynamics of the vegetation features, climate and environmental changes. In this study, the radar-based global ASCAT (Advanced SCATterometer) IB (INRAE-BORDEAUX) VOD was retrieved using a model which was recently calibrated over Africa. In order to assess the performance of IB VOD, the Saatchi biomass and three other VOD datasets (ASCAT V16, AMSR2 LPRM V5 and VODCA LPRM V6) derived from C-band observations were used in the comparison. The preliminary results show that IB VOD has a promising ability to predict biomass $(\mathrm{R}=0.74,\ \text{RMSE} =44.82\ \text{Mg}\ \text{ha}^{-1})$ , which is better …

Vegetation optical depth010504 meteorology & atmospheric sciencesvegetation mapping0211 other engineering and technologiesScale (descriptive set theory)02 engineering and technology01 natural sciencesCombinatoricsremote sensingvegetationoptical sensorC-bandComputingMilieux_MISCELLANEOUSattenuation021101 geological & geomatics engineering0105 earth and related environmental sciencesMathematicsprediction algorithmbiomassOrder (ring theory)15. Life on landPrediction algorithmsASCAT13. Climate action[SDE]Environmental SciencesVegetation optical DepthScatterometerBiomedical optical imagingRadar Measurement
researchProduct

Multi-scale optimisation vs. genetic algorithms in the gradient separation of diuretics by reversed-phase liquid chromatography

2019

Abstract Multi-linear gradients are a convenient solution to get separation of complex samples by modulating carefully the gradient slope, in order to accomplish the local selectivity needs for each particular solute cluster. These gradients can be designed by trial-and-error according to the chromatographer experience, but this strategy becomes quickly inappropriate for complex separations. More evolved solutions imply the sequential construction of multi-segmented gradients. However, this strategy discards part of the search space in each step of the construction and, again, cannot deal properly with very complex samples. When the complexity is too large, the only valid alternative for fi…

Work (thermodynamics)AcetonitrilesScale (descriptive set theory)010402 general chemistry01 natural sciencesBiochemistryAnalytical ChemistrySet (abstract data type)DiureticsSubdivisionChromatography Reverse-PhaseChromatographyChemistryElutionbusiness.industry010401 analytical chemistryOrganic ChemistryWaterGeneral MedicineFunction (mathematics)0104 chemical sciencesDistribution (mathematics)SolventsbusinessAlgorithmAlgorithmsLevel of detailJournal of Chromatography A
researchProduct

EMERGING PROPERTIES IN POPULATION DYNAMICS WITH DIFFERENT TIME SCALES

1995

The aim of this work is to show that at the population level, emerging properties may occur as a result of the coupling between the fast micro-dynamics and the slow macrodynamics. We studied a prey-predator system with different time scales in a heterogeneous environment. A fast time scale is associated to the migration process on spatial patches and a slow time scale is associated to the growth and the interactions between the species. Preys go on the spatial patches on which some resources are located and can be caught by the predators on them. The efficiency of the predators to catch preys is patch-dependent. Preys can be more easily caught on some spatial patches than others. Perturbat…

education.field_of_studyEcologyEcologyDifferential equationApplied MathematicsAggregate (data warehouse)PopulationScale (descriptive set theory)General MedicineBiologyAgricultural and Biological Sciences (miscellaneous)Nonlinear systemCoupling (computer programming)Ordinary differential equationPerturbation theoryeducationBiological systemJournal of Biological Systems
researchProduct

Formālisms kā reālās matemātikas filozofija: 14 argumenti

2015

Referāts Latvijas Universitātes 73.zinātniskajā konferencē 2015.gada 13.februārī.

formalismfoundations of mathematics:MATHEMATICS [Research Subject Categories]:HUMANITIES and RELIGION [Research Subject Categories]incompleteness theoremsaxiomatic set theoryplatonism
researchProduct