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## Note in the 18th meeting: Louis Joblot and his microscopes

The Library Diderot de Lyon has an interesting 1718 edition on microscopes, written by Louis Joblot. From Bar-le-Duc, Louis Joblot was a member of the Royal Academy of Pedening and Sculpture. He worked in the surroundings of Sebastien Le Clerc and was a professor of geometry and perspective. It is k...

## The Least Spanning Area of a Knot and the Optimal Bounding Chain Problem

Two fundamental objects in knot theory are the minimal genus surface and the least area surface bounded by a knot in a 3-dimensional manifold. When the knot is embedded in a general 3-manifold, the problems of finding these surfaces were shown to be NP-complete and NP-hard respectively. However, the...

## Design of equipment for combined microencapsulation processes

[ES] The high demand for research in this type of equipment has been reported from industry, as it requires a large part of research and experimentation on the empirical side, paying attention to all the details of the process and the final outcome of the product. It was therefore decided to submit...

## An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP

We discuss the geometry of orbit closures and the asymptotic behavior of Kronecker coefficients in the context of the Geometric Complexity Theory program to prove a variant of Valiant's algebraic analog of the P not equal to NP conjecture. We also describe the precise separation of complexity classe...

## Lateral connectivity : propagation of network belief and hallucinatory-like states in the primary visual cortex

In the primary visual cortex (V1), we examined the functional impact of centripetal apparent motion sequences originating from the far periphery and converging towards the receptive field of cortical cells along their preferred orientation axis. At high saccadic speed, the anisotropic congruency of...

## Certified Approximation of Parametric Space Curves with Cubic B-spline Curves

Approximating complex curves with simple parametric curves is widely used in CAGD, CG, and CNC. This paper presents an algorithm to compute a certified approximation to a given parametric space curve with cubic B-spline curves. By certified, we mean that the approximation can approximate the given c...

## GeoGebraTAO: Geometry Learning using a Dynamic Adaptive ICT-Enhanced Environment to Promote Strong Differentiation of Children’s Individual Pathways

In our project, we investigate the scientific validity of a specific self-built Adaptive Learning Tool in the field of dynamic geometry with a focus on the individual learning pathways of a highly diverse student population. A total of 164 children in Luxembourgish elementary schools, aged between 1...

## Toward a Modelling of Arabidopsis thaliana embryo body plans

During embryonic development, the major body plans of the plant are implemented. This process gives rise to a mature embryo which possess all the characteristics of a young seedling and is associated with a morphological change. These two processes are stereotyped in Arabidopsis thaliana embryo deve...

## School school link: the restoration of figures as a gateway, accompanying this break

In cycle 3, in view of the collegial geometry, which will be based more on properties, it is important to offer students activities that make them consider the figures not as assemblies of sub-figures, in the way of a Tangram, but rather to see them in terms of points and straight lines. The role of...

## Explicit computation on hyperelliptic curve with semi-stable reduction

In this thesis we study the weight filtration on the De Rham cohomology of an hyperelliptic curve C defined over a finite extension of Qp and with semi-stable reduction. The goal is to provide algorithms computing explicitly, given an equation of C, the basis of the weight filtration’s spaces as wel...

## Multidisciplinary analysis and optimization of the performance in mountain bike olympic cross-country (MTB XCO)

This thesis focuses on performance characteristics in the Cross-Country Olympic Mountain Bike (MTB XCO) discipline. The performance produced in a man-material interaction situation results from the optimal adequacy between the rider and his equipment. It results as much from mechanical factors (fram...

## Geometric models for the learning of movements in the plane

[ES] In modern geometry, the relationship between the algebraic structure of the geometric elements and their physical description is often too abstract to be explained by using only their matrix representation. In this article we present some tools for teaching movements at the level. Together with...

## Does the Lisbon Treaty put Europe back on track?

The Lisbon Treaty must ‘unblock’ European integration. But the crisis in which it has stalled refers to various scales of time and causality, which are more or less easy to overcome. The Treaty also amends European governance by marking a return of the Member States and endorsing the principle of a...

## Forcing nonperiodicity with a single tile

An aperiodic prototile is a shape for which infinitely many copies can be arranged to fill Euclidean space completely with no overlaps, but not in a periodic pattern. Tiling theorists refer to such a prototile as an "einstein" (a German pun on "one stone"). The possible existence of an einstein has...

## Towards a relevant dispersion model for urban areas

Flammable and toxic gas dispersion is a key issue when designing the potential consequences of industrial accident. While resulting distances for land use planning are important, models used nowadays are quite simple. It should be reminded that several levels of approach could be used for the cloud...

## Hochschild Homology and Cohomology of Klein Surfaces

Within the framework of deformation quantization, a first step towards the study of star-products is the calculation of Hochschild cohomology. The aim of this article is precisely to determine the Hochschild homology and cohomology in two cases of algebraic varieties. On the one hand, we consider si...

## Emergence of a language through deictic games within a society of sensori-motor agents in interaction

International audience Starting from language origins theories, which connect prelinguistic primate abilities such as deixis, to modern linguistic systems, we seek to let emerge universals of human languages such as dispersion principles and the quantal aspect of speech. For this aim, we model a soc...

## Making Solar Envelopes

Making Solar Envelopes¶ Pre-processing¶ Before being able to perform a solar envelope analysis, several operations need to be done. This analysis uses 2D data (eg: building footprints). First, select the building on which the analysis is being done. T4SU only accepts one building (ie: one polygon)....

## First steps towards geographic rule modeling

International audience ABSTRACTGeographic knowledge has always proved its value as an instrument underlying reasoning in order to define effective solutions for the management of territories . In many domains, such as urban and environmental planning, it is essential to start processes of analysis a...

## Aesthetics and politics: the triumph of the reason behind Mexico City Tenochtitlán

Derrière the map of Mexico City, drawn up in 1523 by the Hernán Cortés ‘surveyor’, is one of the building strategies of American cities: a modernity of tradition has emerged, with a mixture of guerrian virtues and memories of conquest, i.e. the hispanic tradition. But Mexico remains exemplary; it is...

## Interactive deformation of virtual paper

Although paper is a very common material in our every-day life, it can hardly be found in 3d virtual environments. Indeed, due to its fibrous structure, paper material exhibits complex deformations and sound behaviour which are hard to reproduce efficiently using standard methods. Most notably, the...

## Satellite Image Based Mapping of Wetland Tundra Landscapes Using ILWIS GIS

International audience The aim of the work is the analysis of the distribution of different types of the landscapes in the wetland tundra of the Yamal Peninsula. The Yamal Peninsula is important biogeographic region of the Arctic. It is located in the subarctic continental climate zone and crosses t...

## Mathematical knowledge of students for primary education teachers: Analysis of variables

Summary In this research work, the knowledge of numbers and geometry of students for primary education teachers is studied. Research is of a quantitative nature and descriptive and inferential statistical techniques were used. To address the study, 20 questions released from the TIMSS tests were sel...