Search results for "Formula"

showing 10 items of 755 documents

Universal formulas for characteristic classes on the Hilbert schemes of points on surfaces

2007

This article can be seen as a sequel to the first author's article ``Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane'', where he calculates the total Chern class of the Hilbert schemes of points on the affine plane by proving a result on the existence of certain universal formulas expressing characteristic classes on the Hilbert schemes in term of Nakajima's creation operators. The purpose of this work is (at least) two-fold. First of all, we clarify the notion of ``universality'' of certain formulas about the cohomology of the Hilbert schemes by defining a universal algebra of creation operators. This helps us to reformulate and extend a lot of the f…

Hilbert manifoldHilbert's basis theoremHilbert matrix01 natural sciencesMathematics - Algebraic Geometrysymbols.namesakeCharacteristic classesPrimary 14C05Secondary 14C170103 physical sciencesFOS: Mathematics[MATH]Mathematics [math]0101 mathematicsAlgebraic Geometry (math.AG)ComputingMilieux_MISCELLANEOUSMathematicsHilbert–Poincaré seriesHilbert's second problemHilbert series and Hilbert polynomialAlgebra and Number Theory010102 general mathematicsHilbert's fourteenth problemUniversal formulasPrimary 14C05; Secondary 14C17Hilbert schemes of pointsAlgebraHilbert schemesymbols[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]010307 mathematical physics
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Path integral solution by fractional calculus

2008

In this paper, the Path Integral solution is developed in terms of complex moments. The method is applied to nonlinear systems excited by normal white noise. Crucial point of the proposed procedure is the representation of the probability density of a random variable in terms of complex moments, recently proposed by the first two authors. Advantage of this procedure is that complex moments do not exhibit hierarchy. Extension of the proposed method to the study of multi degree of freedom systems is also discussed.

HistoryComplex momentsHierarchy (mathematics)Mathematical analysisProbability density functionNon-linear Random VibrationWhite noisePath integral methodComputer Science ApplicationsEducationFractional calculusNonlinear systemPath integral formulationRepresentation (mathematics)Settore ICAR/08 - Scienza Delle CostruzioniRandom variableMathematics
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Discrete Symmetries CP, T, CPT

2016

The role of Symmetry Breaking mechanisms to search for New Physics is of highest importance. We discuss the status and prospects of the Discrete Symmetries CP, T, CPT looking for their separate Violation in LHC experiments and meson factories.

HistoryParticle physicsMeson productionMesonCPT symmetryQC1-999Physics beyond the Standard ModelGeneral Physics and AstronomyFOS: Physical sciencesQuantum entanglement01 natural sciencesEducationHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesSymmetry breaking010306 general physicsPhysicsLarge Hadron Collider010308 nuclear & particles physicsCabibbo–Kobayashi–Maskawa matrixPhysicsOperator (physics)High Energy Physics::PhenomenologyTime evolutionComputer Science ApplicationsB-factoryBaryogenesisStandard Model (mathematical formulation)High Energy Physics - PhenomenologyHomogeneous spaceCP violationHigh Energy Physics::ExperimentEPJ Web of Conferences
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New insights into the composition of historical remedies and pharmaceutical formulations: the identification of natural resins and balsams by gas chr…

2020

AbstractThe present paper reports one of the first studies on the identification of natural resins and balsams in modern era drug formulations. Gas chromatography coupled with mass spectrometry (GC-MS) was applied to investigate the composition of ancient remedies and pharmaceutical formulations coming from the Spezieria di Santa Maria della Scala in Rome, founded at the end of the seventeenth century by the Discalced Carmelites. The obtained results highlight the presence of complex mixtures containing resinaceous and lipidic-based compounds. Thanks to the detection of characteristic markers, it was possible to identify several natural resins, such as guaiacum resin, ladano resin and scamm…

HistòriaArcheologyEngineeringSpezieria of Santa Maria della Scala in RomeBalsamsPolymer sciencebusiness.industryRestes de plantes (Arqueologia)010401 analytical chemistryNatural organic compounds01 natural sciencesMass spectrometricDrug formulations0104 chemical sciences010404 medicinal & biomolecular chemistryHistorical drugsAnthropologyIdentification (biology)GC-MSbusinessComposition (language)ResinsSettore CHIM/12 - Chimica dell'Ambiente e dei Beni CulturaliBalsams; GC-MS; Historical drugs; Natural organic compounds; Resins; Spezieria of Santa Maria della Scala in Rome;Archaeological and Anthropological Sciences
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Implicaciones de la evolución histórica de algunos conceptos en la enseñanza de la Relatividad

2006

La relatividad es una parte importante de la fisica moderna. En este articulo se analiza el debate en torno a la utilizacion de la historia de la ciencia para orientar la didactica de la relatividad en la ensenanza secundaria. Se repasa la evolucion historica de algunos conceptos clave de la relatividad especial y se muestra su implicacion en la ensenanza-aprendizaje.Palabras clave: ensenanza-aprendizaje; relatividad; historia de la ciencia.Implications of the historical evolution of some concepts in the teaching of relativityThe relativity is an important part the modern physics. In this article we analyze the discussion around the use of the history of science to guide the didactics of th…

Històriahistoria de la cienciaSecondary educationPhilosophyrelatividadaprendizajeSocial SciencesModern physicsRelativitat (Física)enseñanzaSpecial relativity (alternative formulations)Educationlcsh:Social Scienceslcsh:HHTheory of relativityenseñanza-aprendizajeAprenentatgeHumanitiesHistory of scienceEnsenyament
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A Wiener Path Integral Technique for Non-Stationary Response Determination of Nonlinear Oscillators with Fractional Derivative Elements

2014

In this paper a novel approximate analytical technique for determining the non-stationary response probability density function (PDF) of randomly excited linear and nonlinear oscillators with fractional derivative elements is developed. Specifically, the concept of the Wiener path integral in conjunction with a variational formulation is utilized to derive an approximate closed form solution for the system response non-stationary PDF. Notably, the determination of the non-stationary response PDF is accomplished without the need to advance the solution in short time steps as it is required by the existing alternative numerical path integral solution schemes. In this manner, the analytical Wi…

Hybrid Monte CarloMathematical analysisMonte Carlo methodAnalytical techniquePath integral formulationfractional derivativeProbability density functionFunctional integrationstochastic responseClosed-form expressionWiener path integralMathematicsFractional calculusVulnerability, Uncertainty, and Risk
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Hepta- and tetra-nuclear copper(II) clusters self-assembled by cyano- and azacyano-carbanions

2015

International audience; Two polynuclear copper(II) complexes with hydroxido-bridging ligands and polycyanide units, [Cu{Cu(tn)}6(μ2-OH)2(μ3-OH)4Cl2](tcm)4Cl2·2H2O (1) and [{Cu(bpy)}4(OH)4(dca)2](dca)2·bpy·2H2O (2) (tn = NH2(CH2)3NH2; tcm− = [C(CN)3]−, bpy = 2,2′-bipyridyl, dca− = [N(CN)2]−) have been prepared by one-pot reactions. The structure of 1 consists of a centrosymmetric heptanuclear ion [Cu{Cu(tn)}6(μ2-OH)2(μ3-OH)4Cl2]6+. The tcm− and the halide anions which appear as counter-ions in the formula unit, play an important role in the stabilization of the complex since the hydrogen bonding between nitrogen atoms of the tcm− anion and halide anions, and hydrogen atoms of the terminal wa…

Hydrogen bondingCyanocarbanion ligandsHydrogenPolynuclear clusters010405 organic chemistryStereochemistryHydrogen bondchemistry.chemical_element[CHIM.MATE]Chemical Sciences/Material chemistryCrystal structure010402 general chemistry01 natural sciencesCopperMagnetic susceptibility0104 chemical sciencesInorganic ChemistryCrystallographychemistryFormula unitMagnetic propertiesMaterials ChemistryMoleculePhysical and Theoretical ChemistryCopper complexesCarbanionPolyhedron
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Experimental Modeling of Submerged Pivot Weir

2020

An inclined rectangular overflow structure, also called a pivot weir, consists of a rectangular plate, angled downstream from the vertical, that can be used as an upstream water level control device. A pivot weir is submerged when the upstream water level is influenced by the downstream flow depth. In this paper, to investigate factors influencing submerged flow conditions, an extensive experimental program including 251 experimental trials was carried out using weir inclination angles of 39.6°, 53°, 85°, and 90° and weir heights ranging from 0.263 to 0.312 m. A formula to distinguish between free and submerged flow conditions was developed using the Π theorem of dimensional analysis and th…

HydrologyDownstream (manufacturing)WeirSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliUpstream (networking)Dimensional analysis Incomplete self-similarity Overflow gate Stage-discharge formula Submerged flow condition Threshold condition Wavy flow conditionAgricultural and Biological Sciences (miscellaneous)GeologyWater Science and TechnologyCivil and Structural EngineeringWater level
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Hymenolepis nanavs.Taenia soliumlife cycle

2015

Hymenolepis nanaTaeniabiologyImmunologyCestode Infectionsbiology.organism_classificationEchinococcusMicrobiologymedicine.drug_formulation_ingredientEchinococcusImmunologyTaenia soliummedicineAnimalsHumansTaeniaParasitologyCestode infectionsHymenolepis (tapeworm)HymenolepisParasite Immunology
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Hyperspectral LCTF-based system for classification of decay in mandarins caused by Penicillium digitatum and Penicillium italicum using the most rele…

2013

[EN] Green mold (Penicillium digitatum) and blue mold (Penicillium italicum) are important sources of postharvest decay affecting the commercialization of mandarins. These fungi infections produce enormous economic losses in mandarin production if early detection is not carried out. Nowadays, this detection is performed manually in dark chambers, where the fruit is illuminated by ultraviolet light to produce fluorescence, which is potentially dangerous for humans. This paper documents a new methodology based on hyperspectral imaging and advanced machine-learning techniques (artificial neural networks and classification and regression trees) for the segmentation and classification of images …

Hyperspectral imagingEXPRESION GRAFICA EN LA INGENIERIAEarly detectionFeature selectionHorticultureMachine visionPenicillium italicumImage analysisBotanymedicineUltraviolet lightFruit inspectionPenicillium digitatumbiologybusiness.industryBlue moldHyperspectral imagingPattern recognitionDecaybiology.organism_classificationmedicine.drug_formulation_ingredientMandarinsFeature selectionArtificial intelligenceNon-linear classifiersbusinessAgronomy and Crop ScienceFood Science
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