Search results for " Unity"

showing 10 items of 24 documents

Geometrical foundations of fractional supersymmetry

1997

A deformed $q$-calculus is developed on the basis of an algebraic structure involving graded brackets. A number operator and left and right shift operators are constructed for this algebra, and the whole structure is related to the algebra of a $q$-deformed boson. The limit of this algebra when $q$ is a $n$-th root of unity is also studied in detail. By means of a chain rule expansion, the left and right derivatives are identified with the charge $Q$ and covariant derivative $D$ encountered in ordinary/fractional supersymmetry and this leads to new results for these operators. A generalized Berezin integral and fractional superspace measure arise as a natural part of our formalism. When $q$…

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsBerezin integralRoot of unityAlgebraic structureFOS: Physical sciencesAstronomy and AstrophysicsSuperspaceAtomic and Molecular Physics and OpticsCovariant derivativeFractional supersymmetryOperator (computer programming)High Energy Physics - Theory (hep-th)Mathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)nth rootMathematical physics
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Analytic results for planar three-loop integrals for massive form factors

2016

We use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our results for ninety master integrals at general $q^2$ are expressed in terms of multiple polylogarithms, and results for fiftyone master integrals at the threshold $q^2=4m^2$ are expressed in terms of multiple polylogarithms of argument one, with indices equal to zero or to a sixth root of unity.

PhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsRoot of unityDifferential equationFeynman integralPhysicsZero (complex analysis)Form factor (quantum field theory)FOS: Physical sciences01 natural sciencesLoop (topology)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PlanarPerturbative QCD0103 physical sciencesddc:530Scattering Amplitudes010306 general physicsMathematical physicsJournal of High Energy Physics
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Irreducible characters taking root of unity values on $p$-singular elements

2010

In this paper we study finite p-solvable groups having irreducible complex characters chi in Irr(G) which take roots of unity values on the p-singular elements of G.

Pure mathematics20C15 20C20Root of unityApplied MathematicsGeneral MathematicsFOS: MathematicsGroup Theory (math.GR)Representation Theory (math.RT)Mathematics::Representation TheoryMathematics - Group TheoryMathematics - Representation TheoryMathematicsProceedings of the American Mathematical Society
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Giuseppe Samonà e la “spina dorsale” di Gibellina Nuova

2020

Nel 1970 Giuseppe Samonà coordina il gruppo di progettazione formato da Vittorio Gregotti, Gianni Pirrone e Alberto Samonà per il Progetto del Centro civico, commerciale e culturale di Gibellina Nuova. Del piano è realizzato il municipio e poi, rielaborato e in altro luogo, il teatro. I monumenti, fondati su un asse pedonale in quota connesso a un suolo artificiale articolato, esprimono l’unità architettura – urbanistica e anticipano, per certi versi, una riflessione successiva del Direttore dello IUAV sulla dialettica fra urbano e rurale.

Settore ICAR/14 - Composizione Architettonica E UrbanaIn 1970 Giuseppe Samonà coordinated a design team (with Vittorio Gregotti Gianni Pirrone and Alberto Samonà) for the project of the Civic Commercial and Cultural Centre of Gibellina Nuova. From this plan among the monuments just the town hall was built. The theatre was proposed later for a different place. The buildings should have been linked to a pedestrian axial gangway connected to an articulated artificial ground. The complex should have shown the unity between architecture and urban planning anticipating in some ways a later Samona’s reflection about the dialectic between urban and rural.
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From Dialects to a Language. Cesare Caravaglios and the Melodies in the World War I Trenches as Songs of the Italian Nation

2019

After the territorial unity of Italy in 1861, romanists, ethnographers and musicologists addressed their efforts in collecting poems and folk music, aiming to demonstrate the interconnection among different regions. At the end of the nineteenth century, the impulse to identify the unity of the country through dialects became a dogma, in order to consolidate the unachieved “Italianness”. Alongside to this presumed linguistic similarity, an obsessive mix of nationalism and irredentism provoked the political campaign, which brought to the war in 1915. Cesare Caravaglios (1893-1937), a band conductor and a scholar, devoted his research on Neapolitan songs and cries of street vendors. Influenced…

Settore L-ART/07 - Musicologia E Storia Della MusicaItalian Unity Dialects Language WWI Songs of Trenches
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Fifth Cartesian Meditation (§§ 55–64): The Schema »Unity-Multiplicity« as the (Not-So) Hidden Metaphysics in Husserl’s Cartesian Meditations

2023

The paper analyzes the last of the Husserlian Meditations with a focus on the metaphysical issue of unity and multiplicity.

Settore M-FIL/03 - Filosofia MoraleHusserl Cartesian Meditation Unity
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La sovranità dell'Uno. Filosofia politica della grecità

2018

In this volume, Segreto traces the founding categories of political philosophy according to the greek ascendency. So Subject, community, sovereignty, politics represent a lexicon received by centuries and transformed itself by centuries. One is the red line that crosses classicity and modernity in our western political philosophy.

Settore SPS/01 - Filosofia PoliticaOne Unity Greekness
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Smooth Feshbach map and operator-theoretic renormalization group methods

2003

Abstract A new variant of the isospectral Feshbach map defined on operators in Hilbert space is presented. It is constructed with the help of a smooth partition of unity, instead of projections, and is therefore called smooth Feshbach map . It is an effective tool in spectral and singular perturbation theory. As an illustration of its power, a novel operator-theoretic renormalization group method is described and applied to analyze a general class of Hamiltonians on Fock space. The main advantage of the new renormalization group method over its predecessors is its technical simplicity, which it owes to the use of the smooth Feshbach map.

Singular perturbationClass (set theory)010102 general mathematicsMathematical analysisHilbert spaceRenormalization group01 natural sciencesFock spacesymbols.namesakeIsospectralPartition of unity0103 physical sciencessymbolsFunctional renormalization group010307 mathematical physics0101 mathematicsAnalysisMathematical physicsMathematicsJournal of Functional Analysis
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“A Partial ‘Reassurance of Fratricide’: Redefining National Unity in Adventures of Huckleberry Finn”

2016

International audience

[SHS.LITT] Humanities and Social Sciences/LiteratureAdventures of Huckleberry Finn[SHS.LITT]Humanities and Social Sciences/LiteratureNational UnityMark TwainBenedicte Anderson[ SHS.LITT ] Humanities and Social Sciences/LiteratureComputingMilieux_MISCELLANEOUSReassurance of Fratricide
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Il diritto all’unità familiare e il superiore interesse del minore prevalgono sulle ragioni dell’espulsione (ordine pubblico e sicurezza) sulla base …

2020

The essay focuses on the recent case on the condition of migrants' minor children in the hypothesis of repatriation orders issued against one of their parents. In particular, the Author analysis the hard balancing of contrasting values, which Court have to provide for, between public order and the rights to family unity (collective) and best interest of the child (individual). The cases commented are both from ECHR and Italian Corte di Cassazione.

best interest of the childSettore IUS/02 - Diritto Privato Comparatofamily unitymigration lawpublic order
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