Search results for " Formal"
showing 10 items of 273 documents
Lagrangians, Hamiltonians and Noether’s Theorem
2015
This chapter is intended to remind the basic notions of the Lagrangian and Hamiltonian formalisms as well as Noether’s theorem. We shall first start with a discrete system with N degrees of freedom, state and prove Noether’s theorem. Afterwards we shall generalize all the previously introduced notions to continuous systems and prove the generic formulation of Noether’s Theorem. Finally we will reproduce a few well known results in Quantum Field Theory.
On the computational power of affine automata
2017
We investigate the computational power of affine automata (AfAs) introduced in [4]. In particular, we present a simpler proof for how to change the cutpoint for any affine language and a method how to reduce error in bounded error case. Moreover, we address to the question of [4] by showing that any affine language can be recognized by an AfA with certain limitation on the entries of affine states and transition matrices. Lastly, we present the first languages shown to be not recognized by AfAs with bounded-error.
Automata and differentiable words
2011
We exhibit the construction of a deterministic automaton that, given k > 0, recognizes the (regular) language of k-differentiable words. Our approach follows a scheme of Crochemore et al. based on minimal forbidden words. We extend this construction to the case of C\infinity-words, i.e., words differentiable arbitrary many times. We thus obtain an infinite automaton for representing the set of C\infinity-words. We derive a classification of C\infinity-words induced by the structure of the automaton. Then, we introduce a new framework for dealing with \infinity-words, based on a three letter alphabet. This allows us to define a compacted version of the automaton, that we use to prove that ev…
Resolvent Estimates for Non-Selfadjoint Operators via Semigroups
2009
We consider a non-selfadjoint h-pseudodifferential operator P in the semiclassical limit (h → 0). If p is the leading symbol, then under suitable assumptions about the behavior of p at infinity, we know that the resolvent (z–P)–1 is uniformly bounded for z in any compact set not intersecting the closure of the range of p. Under a subellipticity condition, we show that the resolvent extends locally inside the range up to a distance \(\mathcal{O}(1)((h\ln \frac{1}{h})^{k/(k + 1)} )\) from certain boundary points, where \(k \in \{ 2,4, \ldots \} \). This is a slight improvement of a result by Dencker, Zworski, and the author, and it was recently obtained by W. Bordeaux Montrieux in a model sit…
Operators in Rigged Hilbert spaces: some spectral properties
2014
A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces. Some properties of the resolvent set and of the corresponding multivalued resolvent function are derived and some examples are discussed.
Conformal transformations and weak field limit of scalar-tensor gravity
2013
The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the same scalar-tensor theory, behave in the Jordan and in the Einstein frame. The approach allows to discriminate features that are invariant under conformal transformations and gives contributions in the debate of selecting the true physical frame. As a particular example, the case of $f(R)$ gravity is considered.
El papel de la formalización y la confianza organizacional como antecedentes de ambidestreza: una investigación sobre la industria agroalimentaria or…
2020
This article investigates the influence of specific key organizational factors (i.e., enabling formalization, coercive formalization, and trust) as antecedents of ambidexterity. Moreover, we propose a new way of operationalizing ambidexterity, under a holistic vision, including the synergies between exploration and exploitation. The study has been developed in the Spanish organic agro-food industry; a total of 239 usable responses were received from two respondents from each company—the general manager and the quality manager. The findings show that enabling formalization and organizational trust are positively related to ambidexterity, but contrary to our predictions, we found no evidence …
Los documentales científicos como instrumentos de educación para la sostenibilidad
2010
El objeto de este trabajo se centra en analizar el papel que están jugando y pueden llegar a jugar los documentales científicos que se difunden ampliamente a través de la TV, venta en quioscos, etc., en la formación de una ciudadanía consciente de los problemas a los que se enfrenta hoy la humanidad y preparada para participar en la adopción de las medidas necesarias
El trabajo con las familias en el contexto educativo no formal. Apertura de canales de comunicación para fomentar la participación y la formación
2017
En el contexto educativo actual las barreras entre educación formal y no formal cada vez son más difusas. Dentro de un planteamiento de educación permanente, a lo largo de la vida, toda intervención educativa debería estar fundamentada pedagógicamente en unos principios inclusivos, democráticos y para el desarrollo pleno de los individuos. Es en el marco de las actividades socioculturales de ocio y tiempo libre con personas con diversidad funcional, donde hemos comprobado como en ocasiones se desatiende la dimensión pedagógica y los principios inclusivos no están muy presentes. Por ello, elaboramos un texto que hace evidentes una serie de necesidades detectadas en el desarrollo de nuestra l…
Los documentales científicos como instrumentos de formación ciudadana para la Sostenibilidad
2018
Basta asomarse a los medios de comunicación para constatar la creciente atención concedida a toda una serie de problemas (contaminación pluriforme que afecta a la totalidad del planeta, cambio climático, con el incremento de fenómenos atmosféricos extremos, degradación de ecosistemas, pérdida de biodiversidad, agotamiento de recursos básicos, conflictos asociados al control de dichos recursos, etc.), que configuran una situación de auténtica emergencia planetaria, de cambio global que pone seriamente en peligro la supervivencia de la especie humana. La gravedad de dicha situación ha dado lugar a reiterados llamamientos a los educadores de cualquier área y nivel, incluyendo a los responsable…