Search results for " symbol"

showing 10 items of 217 documents

The Riemannian manifold of all Riemannian metrics

1991

In this paper we study the geometry of (M, G) by using the ideas developed in [Michor, 1980]. With that differentiable structure on M it is possible to use variational principles and so we start in section 2 by computing geodesics as the curves in M minimizing the energy functional. From the geodesic equation, the covariant derivative of the Levi-Civita connection can be obtained, and that provides a direct method for computing the curvature of the manifold. Christoffel symbol and curvature turn out to be pointwise in M and so, although the mappings involved in the definition of the Ricci tensor and the scalar curvature have no trace, in our case we can define the concepts of ”Ricci like cu…

Mathematics - Differential GeometryChristoffel symbolsGeneral MathematicsPrescribed scalar curvature problem58D17 58B20Mathematical analysisCurvatureLevi-Civita connectionFunctional Analysis (math.FA)Mathematics - Functional Analysissymbols.namesakeDifferential Geometry (math.DG)symbolsFOS: MathematicsSectional curvatureMathematics::Differential GeometryExponential map (Riemannian geometry)Ricci curvatureScalar curvatureMathematics
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Nonlinear effects of respiration on the crosstalk between cardiovascular and cerebrovascular control systems.

2016

Cardiovascular and cerebrovascular regulatory systems are vital control mechanisms responsible for guaranteeing homeostasis and are affected by respiration. This work proposes the investigation of cardiovascular and cerebrovascular control systems and the nonlinear influences of respiration on both regulations through joint symbolic analysis (JSA), conditioned or unconditioned on respiration. Interactions between cardiovascular and cerebrovascular regulatory systems were evaluated as well by performing correlation analysis between JSA indexes describing the two control systems. Heart period, systolic and mean arterial pressure, mean cerebral blood flow velocity and respiration were acquired…

Mean arterial pressuremedicine.medical_specialtySupine positionGeneral Mathematics0206 medical engineeringGeneral Physics and Astronomy02 engineering and technology030204 cardiovascular system & hematologyBaroreflexCerebral autoregulationCardiovascular System03 medical and health sciencesPhysics and Astronomy (all)0302 clinical medicineEngineering (all)Conditional joint symbolic analysiInternal medicineRespirationmedicineHeart rate variabilityAutonomic nervous system; Baroreflex; Cerebral autoregulation; Conditional joint symbolic analysis; Head-up tilt; Heart rate variability; Mathematics (all); Physics and Astronomy (all); Engineering (all)Autonomic nervous systemMathematics (all)Heart rate variabilitybusiness.industryAutonomic nervous system; Baroreflex; Cerebral autoregulation; Conditional joint symbolic analysis; Head-up tilt; Heart rate variability; Mathematics (all); Engineering (all); Physics and Astronomy (all)Head-up tiltGeneral EngineeringBaroreflex020601 biomedical engineeringCerebral autoregulationAutonomic nervous systemCerebral blood flowConditional joint symbolic analysisSettore ING-INF/06 - Bioingegneria Elettronica E InformaticaCardiologybusinessPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
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The ∞-Eigenvalue Problem

1999

. The Euler‐Lagrange equation of the nonlinear Rayleigh quotient \( \left(\int_{\Omega}|\nabla u|^{p}\,dx\right) \bigg/ \left(\int_{\Omega}|u|^{p}\,dx\right)\) is \( -\div\left( |\nabla u|^{p-2}\nabla u \right)= \Lambda_{p}^{p} |u |^{p-2}u,\) where \(\Lambda_{p}^{p}\) is the minimum value of the quotient. The limit as \(p\to\infty\) of these equations is found to be \(\max \left\{ \Lambda_{\infty}-\frac{|\nabla u(x)|}{u(x)},\ \ \Delta_{\infty}u(x)\right\}=0,\) where the constant \(\Lambda_{\infty}=\lim_{p\to\infty}\Lambda_{p}\) is the reciprocal of the maximum of the distance to the boundary of the domain Ω.

Mechanical EngineeringMathematical analysisMathematics::Analysis of PDEsOmegaCombinatoricsMathematics (miscellaneous)Infinity LaplacianDomain (ring theory)Nabla symbolRayleigh quotientAnalysisEigenvalues and eigenvectorsQuotientMathematicsArchive for Rational Mechanics and Analysis
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Il triangolo non l'avevo considerato. Metafora, immagini mentali proposizioni tra Relevance Theory e Perceptual Symbol Theory.

2020

In this paper we will show the need for a multimodal approach to the study of metaphorical utterances. We will discuss this hypothesis showing potentials and limits of the metaphor studies conducted within Relevance Theory, which has represented the most authoritative and radical theoretical framework based on the propositional character of metaphorical utterances. In particular, we will focus on the last papers by Carston (2010, 2018), in which it is recognized that the comprehension of complex and poetic metaphors could involve the activation of mental images. We will discuss the problem that the notion of mental imagery poses to Relevance Theory and we will try to overcome these problems…

Metaphor Mental Imagery Pragmatics Relevance Theory Perceptual Symbol Theory.Settore M-FIL/05 - Filosofia E Teoria Dei Linguaggi
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Aesthetics of Geometry and the Problem of Representation in Monument Sculpture

2017

Since the 1920s and 1930s, constructivist and concretist visual art movements have stressed geometric forms, proportions and orders as a base for artistic expressions and aesthetic experiences. After the World War II geometric form was adopted to the public sculpture. Abstract, geometrically constructed sculpture was also used in commemorative functions in modern monument art. The combination of the commemoration of a significant historical event or a national hero, and the aesthetic ideas based on constructivist or concretist art movements caused a lot of debates and confrontations in many Western countries. In particular, the interpretation of abstract monuments problematized: abstract mo…

MetonymygeometrySculpturematematiikkamathematicsmedia_common.quotation_subjectInterpretation (philosophy)taideRepresentation (arts)ArtEvent (philosophy)estetiikkaVisual artsExpression (architecture)AestheticsaestheticsHEROThe Symbolicgeometriaartmedia_common
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Knots, Music and DNA

2020

Musical gestures connect the symbolic layer of the score to the physical layer of sound. I focus here on the mathematical theory of musical gestures, and I propose its generalization to include braids and knots. In this way, it is possible to extend the formalism to cover more case studies, especially regarding conducting gestures. Moreover, recent developments involving comparisons and similarities between gestures of orchestral musicians can be contextualized in the frame of braided monoidal categories. Because knots and braids can be applied to both music and biology (they apply to knotted proteins, for example), I end the article with a new musical rendition of DNA.

MusicalVisual artGeneral Mathematics (math.GM)Mathematics::Category TheoryBraidFOS: MathematicsCategory theory; Composition; Musical gesture; Synesthesia; Visual artAlgorithmic compositionMathematics - General MathematicsSettore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniSettore INF/01 - InformaticaMusic psychologyMusical gestureSettore MAT/04 - Matematiche ComplementariMathematics::Geometric TopologyLinguisticsMathematical theorySettore MAT/02 - AlgebraCategory theory Composition Musical gesture Synesthesia Visual art SettoreComputer Science::SoundThe SymbolicComputer musicMusicSynesthesiaGestureCategory theoryComposition
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Clubes y selecciones nacionales de fútbol. La dimensión etnoterritorial del fútbol español

2006

The first part of this paper shows, from a general viewpoint, the historical simultaneity in the emergence and development of football and the building of modern Nation-States, as well as their next differentiation in the socio-economical context of globalization. This differentiation or institutional separation implies an alteration and readjustment of the identity dynamic associated to this sport. Above this historical and conceptual background we consider a research on the ethnoterritorial dimension of the Spanish football. After dedicating the second part of the article to study some ethnoterritorial keys of his historic development, in the third part we present the analysis of the Span…

NationalismGeneral Social SciencesIdentity (social science)Gender studiesContext (language use)FootballDeporteAmbivalencelanguage.human_languageGlobalizationNacionalismolanguageGlobalizaciónCatalanThe SymbolicSociologySocial scienceDimension (data warehouse)GlobalizationSportRevista Internacional de Sociología
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Riso e sorriso e altri saggi sulla nonviolenza nella Grecia antica

2018

Is nonviolence a specificity of oriental culture? The book explores the presence, in ancient Greece, of forms of thought and actions that can be brought back to the idea of nonviolent conflict management. It identifies the role that laughter and smile can play in the resolution of interpersonal contrasts; it illustrates the advice of ‘work on oneself’ as well as on the other, given by ancient philosophers; it focuses on some rules to combat violence without resorting to violence; it presents female mediation practices and identifies various forms of diplomacy, both from above and from below; at least it shows the effective dynamics in view of the reconciliation between adversaries in cases …

Nonviolence ancient Greece smile and laught (concepts terminolgy and symbolic value) war and peace conflicts management.Settore L-FIL-LET/02 - Lingua E Letteratura Greca
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Cosa può dirci l’antico. Spazi, forme e funzioni dei pellegrinaggi cristiani “minori”

2016

In questa sede si pone attenzione, osservando alcuni pellegrinaggi cristiani definibili come “minori”, ad alcune questioni relative alle relazioni tra ambiente, società e luoghi sacri, alle funzioni rivestite dall’itinerario pellegrinale in rapporto alla diversa composizione delle “comunità di pellegrinaggio” e alle ragioni “religiose” che hanno potuto sostenere la continuità di frequentazione dei luoghi di culto e il reiterarsi di certe pratiche rituali. Nonostante le trasformazioni socio-culturali, il mutare delle aspettative esistenziali dei fedeli, dei sistemi di produzione, dei regimi alimentari, della consistenza demografica, il pellegrinaggio resta, infatti, un istituto religioso dif…

Pellegrinaggi santuari pratiche di culto simboli rituali comunità tradizionePilgrimages sanctuaries religious practices rituals symbols tradition communitiesSettore M-DEA/01 - Discipline Demoetnoantropologiche
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¿Teoría crítica o inmunización del sistema? Acerca de la dicotomía habermasiana entre sistema y mundo de la vida.

2018

El artículo presenta las fuentes y la definición de los conceptos sistema y mundo de la vida, poniendo de relieve cómo la colonización del mundo de la vida por parte del sistema aparece como un proceso patológico, frente al cual cabe mantener un posicionamiento crítico. Ante el aumento de la complejidad sistémica, es necesario asegurar la reproducción simbólica del mundo de la vida a través de la acción comunicativa. Compartiendo con Habermas el sentido de sus problematizaciones, presentamos sin embargo diversas objeciones a la oposición dicotómica de ambas esferas, en la medida en que ésta confiere a los sistemas económico y administrativo un estatuto ontológico que acaba blindándolos ante…

PhilosophyMeaning (philosophy of language)LifeworldOpposition (planets)PhilosophyCommunicative actionThe SymbolicFilosofiaHumanities
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