The Zero-Removing Property and Lagrange-Type Interpolation Series

The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.

Electronic property analysis of O-doped Cu3SbS3

The ternary Cu-Sb-S semiconductors are considered to be sustainable and potential alternative absorber materials in thin film photovoltaic applications. In these compounds, several phases may coexist, albeit in different proportions depending on experimental growth conditions. Additionally, the photovoltaic efficiency could be increased with isoelectronic doping. In this work we analyze the electronic properties of O-doped Cu3SbS3 in two structures: the wittichenite and the skinnerite. We use first-principles within the density functional formalism with two different exchange-correlation potentials. In addition, we estimate the potential of these compounds for photovoltaic applications.

Optoelectronic property analysis of MCrO4 (M=Ba, Sr) with a response to visible light irradiation

Ternary MCrO4 (M = Ba, Sr) semiconductors are materials with a variety of photocatalyst and optoelectronic applications. We present detailed microscopic analyses based on first principles of the structure, the electronic properties and the optical absorption in which the difference between symmetrically non-equivalent atoms has been considered. The high absorption coefficients of these materials are split into chemical species contributions in accordance with the symmetry. The high optical absorption in these materials is mainly because of the Cr–O inter-species transitions.

Promotion of intangible heritage as a tool to strengthen revitalisation of historic centres: the case of de Monumenta Programme in the City of Porto Alegre (Rio Grande do Sul State) Brazil

The preservation of tangible cultural heritage does not guarantee effective revitalisation of urban historic areas as a whole. The legacy of our history consists not only of paintings, sculptures, architectural monuments and public spaces, but also the safeguarding of immaterial aspects of social life, such as oral traditions, rituals, practices, knowledge and craft skills. From 1999 to 2013, 26 Brazilian cities benefited from the Monumenta Programme - a national cultural policy that involved institutions, the private sector and the local community. The purpose of the programme was to stimulate economic growth and increase cultural and social development of the historic centres. Moreover, it sought to increase the number of residents in the benefited areas as defined in its agenda (IDB, 1999; MinC & Programa Monumenta, 2006). Using the Historic Centre of Porto Alegre as a case study, this paper examines how this cultural programme enables demographic change through the promotion of intangible cultural heritage, e.g. by supporting educational projects. The demographic flow was analysed using the microdata of the Populations Censuses (years 2000 and 2010) available from the Brazilian Institute of Geography and Statistics. The results showed an increase in low-income residents the areas that participated in the programme. This increase may have been motivated by a set of cultural-educational projects under the auspices of the Monumenta Programme. The retraining of artisans of Alfândega Square, the training of low-income youth for restoration work and the implementation of the "Black Route Museum in Porto Alegre" (Bicca, 2010) are just some examples of what was done to improve the local community's economy, to encourage social cohesion and to enhance the awareness of cultural diversity as a positive and essential value in society.