The topological structure of scalar, vector, and second-order tensor fields provides an important mathematical basis for data analysis and visualization. In this paper, we extend this framework towards higher-order tensors. First, we establish formal uniqueness properties for a geometrically constrained tensor decomposition. This allows us to define and visualize topological structures in symme...

This special issue explores whether the heuristics “macro” and “micro” capture the most important levels of explanation in the anthropology of education. Recent work suggests that we must move beyond a macro–micro approach. This introduction sketches reasons for going beyond macro and micro and reviews alternative approaches to explaining cultural and educational processes. The following articl...

We compute the group of Morita self-equivalences (the Picard group) of a Poisson structure on an orientable surface, under the assumption that the degeneracies of the Poisson tensor are linear. The answer involves mapping class groups of surfaces, i.e., groups of isotopy classes of diffeomorphisms. We also show that the Picard group of these structures coincides with the group of outer Poisson ...

Citation: Dall’Ara E, Peña-Fernández M, Palanca M, Giorgi M, Cristofolini L and Tozzi G (2017) Precision of Digital Volume Correlation Approaches for Strain Analysis in Bone Imaged with Micro-Computed Tomography at Different Dimensional Levels. Front. Mater. 4:31. doi: 10.3389/fmats.2017.00031 Precision of Digital Volume correlation approaches for strain analysis in Bone imaged with Micro-compu...

This paper reports on the state-of-the-art of technologies for the design and fabrication of MEMS micro-mirrors. We discuss the major design issues, considerations, calculations and restrictions of micro mirrors. The materials employed for the reflective surfaces are described along with their properties. The materials used for the static and dynamic MEMS micro structures as well as the differe...

Privatization of urban services focuses often on the involvement of foreign enterprises. This contribution deals with micro-privatization, the partial transfer of government responsibility for solid waste collection to micro-enterprises. It tries to shed light on whether the current private sector participation (PSP) of micro-enterprises in solid waste collection service is the best way to capt...

The problem of explicit generation of unitary operators for atomic systems with degenerate energy levels is considered. The Lie algebra structure is used to derive constructive control schemes for the creation of arbitrary superposition states and selective population interchanges for a transition between two three-fold degenerate energy levels.

We present a combined macro-scale/micro-scale computational approach to quantify oxygen transport and flow-mediated shear stress to human chondrocytes cultured in three-dimensional scaffolds in a perfusion bioreactor system. A macro-scale model was developed to assess the influence of the bioreactor design and to identify the proper boundary conditions for the micro-scale model. The micro-scale...

Usnic acid (UA) has been studied by its pharmacological properties; however, it presents moderate toxicity, low solubility, and absorption by biological membranes. The aim of this study was to develop poly-ε-caprolactone microsphere polymers containing UA (UA-micro) and evaluate their acute toxicity and anti-inflammatory activity. The microspheres were prepared by multiple emulsion technique (w...