Search results for "continuum"
showing 10 items of 477 documents
Student teachers' experiences of participating in mixed peer mentoring groups of in-service and pre-service teachers in Finland
2017
This article examines from the student perspective a new Finnish model of teacher development that uses the peer group mentoring (PGM) method for combining pre-service and in-service teacher education. Reflective reports of student teachers (N = 19) who participated in PGM were analyzed using the phenomenographic method. The results show that students' experiences varied from considering the activity as (1) a coffee break or (2) peer-support, to seeing it as (3) identity construction or (4) a way of participating in a professional community. In further development of the model more emphasis should be placed on the integration of theory and practice. peerReviewed
Guaranteed Error Bounds I
2014
In Chap. 3, we discussed the main ideas of fully reliable error control methods and the corresponding numerical algorithms with the paradigm of simple elliptic type problems. This chapter is intended to show a deep connection between a posteriori estimates of the functional type and physical relations generating the problem. Also, the goal of this chapter is to consider a wider set of problems arising in various applications and explain things in terms of computational mechanics. For this purpose, we begin with a simple class of mechanical problems (straight beams) and after that consider curvilinear beams and more complicated models of continuum mechanics (linear elasticity, viscous fluids…
Homogeneous Suslinian Continua
2011
AbstractA continuumis said to be Suslinian if it does not contain uncountably many mutually exclusive non-degenerate subcontinua. Fitzpatrick and Lelek have shown that a metric Suslinian continuum X has the property that the set of points at which X is connected im kleinen is dense in X. We extend their result to Hausdorff Suslinian continua and obtain a number of corollaries. In particular, we prove that a homogeneous, non-degenerate, Suslinian continuum is a simple closed curve and that each separable, non-degenerate, homogenous, Suslinian continuum is metrizable.
Dense Geometry of Music and Visual Arts: Vanishing Points, Continuous Tonnetz, and Theremin Performance
2018
The dualism between continuous and discrete is relevant in music theory as well as in performance practice of musical instruments. Geometry has been used since longtime to represent relationships between notes and chords in tonal system. Moreover, in the field of mathematics itself, it has been shown that the continuity of real numbers can arise from geometrical observations and reasoning. Here, we consider a geometrical approach to generalize representations used in music theory introducing continuous pitch. Such a theoretical framework can be applied to instrument playing where continuous pitch can be naturally performed. Geometry and visual representations of concepts of music theory and…
Scarpa. Una cerniera spaziale per lo Steri
2018
Per un architetto pensare alla propria città, e un luogo specifico al suo interno, migliorarlo significa concentrarsi sulle qualità specifiche del sito da un punto di vista storico, economico, sociale e culturale. Questo scritto entrerà nei dettagli di questa riflessione, attraverso le esperienze di Carlo Scarpa e l'importante ruolo da lui assunto nella definizione dello Steri (1972-1978). Tutto ciò è diretto all'acquisizione della capacità di riconoscere la fisicità di un'architettura significativa e delle relazioni spaziali che la definiscono, come ad esempio quelle tra interno ed esterno, rendendo così il proprio concetto di soglia e di continuum spaziale. Siamo consapevoli che le scelte…
Scarpa in Sicily: The memory of our senses
2019
Per un architetto pensare alla propria città, a un luogo specifico e al suo interno da migliorare significa concentrarsi sulle qualità specifiche del sito da un punto di vista storico, economico, sociale e culturale. Questo scritto entrerà nei dettagli di questa riflessione, attraverso le esperienze di Carlo Scarpa e l'importante ruolo assunto da lui nella definizione di una possibile strategia innovativa già dalla mostra su Antonello da Messina del 1953. Il fare del maestro veneziano è volto all'acquisizione e alla capacità di riconoscere la fisicità di un'architettura significativa e le relazioni spaziali che la definiscono, come ad esempio quelle tra interno ed esterno, rendendo esplicit…
Virtual Element based formulations for computational materials micro-mechanics and homogenization
2021
In this thesis, a computational framework for microstructural modelling of transverse behaviour of heterogeneous materials is presented. The context of this research is part of the broad and active field of Computational Micromechanics, which has emerged as an effective tool both to understand the influence of complex microstructure on the macro-mechanical response of engineering materials and to tailor-design innovative materials for specific applications through a proper modification of their microstructure. While the classical continuum approximation does not account for microstructural details within the material, computational micromechanics allows detailed modelling of a heterogeneous…
3D MHD modeling of the expanding remnant of SN 1987A : role of magnetic field and non-thermal radio emission
2018
Aims. We investigate the role played by a pre-supernova (SN) ambient magnetic field on the dynamics of the expanding remnant of SN 1987A and the origin and evolution of the radio emission from the remnant, in particular, during the interaction of the blast wave with the nebula surrounding the SN. Methods. We model the evolution of SN 1987A from the breakout of the shock wave at the stellar surface to the expansion of its remnant through the surrounding nebula by 3D MHD simulations. The model considers the radiative cooling, the deviations from equilibrium of ionization, the deviation from temperature-equilibration between electrons and ions, and a plausible configuration of the pre-SN ambie…
Advanced nonlinear signal processing in silicon-based waveguides
2015
This talk presents recent progress in optical signal processing based on compact waveguides fabricated mainly using silicon germanium alloys. Applications include supercontinuum generation, wavelength conversion and signal regeneration.
Towards an analytical framework for tailoring supercontinuum generation.
2016
A fully analytical toolbox for supercontinuum generation relying on scenarios without pulse splitting is presented. Furthermore, starting from the new insights provided by this formalism about the physical nature of direct and cascaded dispersive wave emission, a unified description of this radiation in both normal and anomalous dispersion regimes is derived. Previously unidentified physics of broadband spectra reported in earlier works is successfully explained on this basis. Finally, a foundry-compatible few-millimeters-long silicon waveguide allowing octave-spanning supercontinuum generation pumped at telecom wavelengths in the normal dispersion regime is designed, hence showcasing the p…