Search results for " Geometry"

showing 10 items of 2294 documents

On double Veronese embeddings in the Grassmannian G(1,N)

2004

We classify all the embeddings of P^n in a Grassmannian of lines G(1,N) such that the composition with Pl\"ucker is given by a linear system of quadrics of P^n.

Veronese embeddingsGeneral MathematicsLinear systemComposition (combinatorics)CombinatoricsAlgebra14M15 (Primary) 14M07 (Secondary)rank-2 bundlesMathematics - Algebraic GeometryGrassmannianFOS: MathematicsSettore MAT/03 - GeometriaGrassmanniansPluckerAlgebraic Geometry (math.AG)Mathematics
researchProduct

Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta

2017

We determine the non-Abelian version of the four longitudinal form factors of the quark-gluon vertex, using exact expressions derived from the Slavnov-Taylor identity that this vertex satisfies. In addition to the quark and ghost propagators, a key ingredient of the present approach is the quark-ghost scattering kernel, which is computed within the one-loop dressed approximation. The vertex form factors obtained from this procedure are evaluated for arbitrary Euclidean momenta, and display features not captured by the well-known Ball-Chiu vertex, deduced from the Abelian (ghost-free) Ward identity. The potential phenomenological impact of these results is evaluated through the study of spec…

Vertex (graph theory)PhysicsHigh Energy Physics - Theory010308 nuclear & particles physicsHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)High Energy Physics::PhenomenologyForm factor (quantum field theory)PropagatorFOS: Physical sciences01 natural sciencesHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - LatticeHigh Energy Physics - Theory (hep-th)Quantum mechanics0103 physical sciencesEuclidean geometryVertex modelTensorBall (mathematics)Abelian group010306 general physicsMathematical physics
researchProduct

Neutral and oxidized triisopropylsilyl end-capped oligothienoacenes: a combined electrochemical, spectroscopic, and theoretical study.

2010

This work presents an analy- sis of the structural, electrochemical, and optical properties of a family of triisopropylsilyl end-capped oligothie- noacenes (TIPS-Tn-TIPS, n = 4-8) by combining cyclic voltammetry, spectro- scopic techniques, and quantum-chemi- cal calculations. TIPS-Tn-TIPS com- pounds form stable radical cations, and dications are only obtained for the lon- gest oligomers (n = 7 and 8). Oxidation leads to the quinoidization of the con- jugated backbone, from which elec- trons are mainly extracted. The absorp- tion and fluorescence spectra show par- tially resolved vibronic structures even at room temperature, due to the rigid molecular geometry. Two well-resolved vibronic p…

Vibronic couplingMolecular geometryRadical ionChemistryOrganic ChemistryBathochromic shiftDensity functional theoryGeneral ChemistryCyclic voltammetryPhotochemistryFluorescenceCatalysisDicationChemistry (Weinheim an der Bergstrasse, Germany)
researchProduct

Augstākā algebra: lekcijas, lasītas Latvijas Universitātes matemātikas un dabaszinātņu fakultātē

1936

Lekcijas sakārtojis Fogels, Ernests ; rediģējis Lūsis, Arvīds.

VienādojumiAlgebraEquations:MATHEMATICS::Algebra geometry and mathematical analysis::Algebra and geometry [Research Subject Categories]DeterminantiFunctionsFunkcijasDeterminants
researchProduct

Masonry Sail Vaults in Maltese Architecture: Geometrical Analysis for the Study of Building Processes

2023

This research concerns the introduction and dissemination of masonry sail vaults in Malta between the sixteenth and the eighteenth centuries. A digital survey is produced to capture a reality-based 3D model, undertake analysis, and compare case studies with the aim of interpreting the sail vaults' construction systems.

Visual Arts and Performing ArtsGeneral MathematicsMalta Rule-based architecture Documentation Structure for Motion GeometryArchitectureSettore ICAR/17 - DisegnoSettore ICAR/18 - Storia Dell'ArchitetturaNexus Network Journal
researchProduct

Projective Architecture

2009

Sbacchi indaga su quale sia stata la reale influenza della nozione di "proiezione" nell'ambito della progettazione architettonica a partire da Guarini. Per fare ciò vengono presi in considerazione i concetti di luce e ombra così come quelli di linea astratta, piano, sezione, geometria proiettiva e prospettiva. Michele Sbacchi investigates the real influence of the notion of projection on architectural design before and during the age of Guarini. He takes into consideration concepts such as light and shadow, abstract line, plane, section, projective geometry and perspective. To do this he looks at the ideas of Gregorius Saint Vincent, Alberti, Guarini, Desargues and de l’Orme, among others.

Visual Arts and Performing ArtsGeneral MathematicsPhilosophyArchitectural Design Projective Geometry ProjectionSettore ICAR/14 - Composizione Architettonica E UrbanaArt historyGeometria Proiettiva progettazione architettonicaPerspective (geometry)Projection (mathematics)Conic sectionArchitectureLine (geometry)ShadowProjective planeArchitectureProjective geometry
researchProduct

Performance analysis and comparison of symmetrical and asymmetrical configurations of evanescent mode ridge waveguide filters

2009

[1] In this paper, the trade-offs between out-of-band performance, filter length, power-handling capability, and insertion loss of both symmetrical and asymmetrical evanescent mode ridge rectangular waveguide filters are investigated. As a result, clear design methodologies for optimizing such performances are proposed. The developed methodologies are then applied to design several evanescent mode filters, and a complete performance analysis of the symmetrical and asymmetrical structures is performed. From the performance analysis results, the designer can choose the more appropriate filter topology and design strategy to satisfy the prescribed specifications.

Waveguide filterRidge waveguidesbusiness.industryComputer scienceAcousticsTopology (electrical circuits)Design strategyCondensed Matter PhysicsRidge (differential geometry)OpticsFilter (video)Evanescent modeGeneral Earth and Planetary SciencesInsertion lossElectrical and Electronic EngineeringbusinessRadio Science
researchProduct

Irreducible components of Hurwitz spaces of coverings with two special fibers

2013

In this paper we prove new results of irreducibility for Hurwitz spaces of coverings whose monodromy group is a Weyl group of type B_d and whose local monodromies are all reflections except two.

Weyl groupPure mathematicsHurwitz quaternionGroup (mathematics)General MathematicsType (model theory)Hurwitz spaces special fibers branched coverings Weyl group of type B_d monodromy braid moves.symbols.namesakeMathematics::Algebraic GeometryMonodromyHurwitz's automorphisms theoremsymbolsIrreducibilitySettore MAT/03 - GeometriaMathematics::Representation TheoryMathematics
researchProduct

Vacuum type I spacetimes and aligned Papapetrou fields: symmetries

2003

We analyze type I vacuum solutions admitting an isometry whose Killing 2--form is aligned with a principal bivector of the Weyl tensor, and we show that these solutions belong to a family of type I metrics which admit a group $G_3$ of isometries. We give a classification of this family and we study the Bianchi type for each class. The classes compatible with an aligned Killing 2--form are also determined. The Szekeres-Brans theorem is extended to non vacuum spacetimes with vanishing Cotton tensor.

Weyl tensorPhysicsClass (set theory)Physics and Astronomy (miscellaneous)Group (mathematics)Cotton tensorFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Type (model theory)General Relativity and Quantum Cosmologysymbols.namesakeGeneral Relativity and Quantum CosmologyHomogeneous spaceIsometrysymbolsMathematics::Differential GeometryBivectorMathematical physics
researchProduct

Ricci Tensors on Some Infinite Dimensional Lie Algebras

1999

Abstract The Ricci tensor has been computed in several infinite dimensional situations. In this work, we shall be interested in the case of the central extension of loop groups and in the asymptotic behaviour of the Ricci tensor on free loop groups as the Riemannian metric varies.

Weyl tensorPure mathematicsRiemann curvature tensorCurvature of Riemannian manifoldsMathematical analysisRicci flowEinstein tensorsymbols.namesakeLanczos tensorsymbolsRicci decompositionMathematics::Differential GeometryRicci curvatureAnalysisMathematicsJournal of Functional Analysis
researchProduct