The role of technology in the study of semiotic representations in mathematics

En este trabajo resumimos algunas reflexiones sobre el papel que pueden desarrollar la tecnología en el estudio de sistemas semióticos de representación, y que constituyen el núcleo para la comprensión de los procesos de construcción del conocimiento matemático de los estudiantes. La cita corresponde con el resumen de una página publicado.

Monotone scheme and boundary conditions for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number

A monotone scheme for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number is presented. The numerical stability is analysed with respect to the electromagnetic force. Standard central finite differences applied to finite volumes can only be numerically stable if the vector products involved in this force are computed with a scheme using a fully staggered grid. The electromagnetic quantities (electric currents and electric potential) must be shifted by half the grid size from the mechanical ones (velocity and pressure). An integral treatment of the boundary layers is used in conjunction with boundary conditions for electrically conducting walls. The simulations are performed with inhomogeneous electrical conductivities of the walls and reach high Hartmann numbers in three-dimensional simulations, even though a non-adaptive grid is used.

Levitated droplet oscillations: effect of internal flow

The numerical model for electrically conducting liquid droplets levitated in AC magnetic field is extended to demonstrate various factors affecting the accuracy of material property value measurements. The effects included are the electromagnetic force induced stirring and the resulting turbulence, thermo-capillary convection, and the droplet rotation. The results are validated against available analytical solutions.

Representations of multicultural identities in British Cinema

This paper explores the transnational and interstitial dimensions of cultural production in Britain today, and the representation of migrant and diasporic identities in contemporary mainstream British cinema. The box office success of films like Gurindha Chadha’s Bhaji on the Beach (1993) and Bend it Like Beckham (2002) and East is East (Daniel O’Donnell 1999) and their precursors My Beautiful Launderette (Stephen Frears 1985), Sammy and Rosie Get Laid (Stephen Frears 1987) and the TV mini-series Buddha of Suburbia (Roger Mitchell 1993) seem to celebrate and articulate a set of values around hybridity and alterity: a discourse of multiculturalism. This paper will engage with a series of key questions. Are there ideological values implicit within and common to all these texts? Can we map a rhetoric or discourse of multiculturalism within popular culture? Do mainstream representations of immigrant identities represent a discourse of resistance, a decolonising global culture or is this Western brand of multiculturalism still located within an Orientalising gaze? In what ways are multiculturalism and postcolonialism overlapping and yet opposing rhetorics? [From the Author]

Levitated droplet oscillations: effect of internal flow

The numerical model for electrically conducting liquid droplets levitated in AC magnetic field is applied to demonstrate various factors affecting the accuracy of material property value measurements in microgravity conditions. The included effects are the electromagnetic force induced stirring and the resulting turbulence, the thermo-capillary convection, and the droplet rotation. The results are validated against available analytical solutions.