Search results for "MATHEMATICS"

Skeleton-Based Multiview Reconstruction

2016

International audience; The advantage of skeleton-based 3D reconstruction is to completely generate a single 3D object from well chosen views. Having numerous views is necessary for a reliable reconstruction but projections of skeletons lead to different topologies. We reconstruct 3D objects with curved medial axis (whose topology is a tree) from the perspective skeletons on an arbitrary number of calibrated acquisitions. The main contribution is to estimate the 3D skeleton, from multiple images: its topology is chosen as the closest to those of the perspective skeletons on the set of images, which means that the number of topology changes to map the 3D skeleton topology to topologies on im…

A survey on algebraic dilatations

2023

In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturally into two categories: one emphasises foundational and theoretical aspects and the other applications to existing theories.

Incerta glòria di Joan Sales tra filologia, storia e traduzione

2015

Riassunto: In questo saggio si fa una riflessione sull’opera di Joan Sales Incerta glòria e particolarmente si vede le conessione tra filologia, storia e traduzione.Parole chiave: Joan Sales, Incerta gloria, traduzione, storia, filologiaAbstract: This article makes a reflection on the work of Joan Sales, Incerta glòria, and it particularly affects the connection between philology, history and translation.Keywords: Joan Sales, Incerta gloria, philology, history translation

The Equiangular Compass

2012

Courbes de Bézier quadratiques et nombres complexes massiques

2017

International audience; Les courbes de Bézier quadratiques jouent un rôle fondamental pour la modélisation d'arcs de coniques. L'utili-sation de points massiques permet de modéliser des demi-coniques dans le plan affine euclidien ou des surfaces canal dans l'espace de Minkowski-Lorentz. L'utilisation des nombres complexes permet de simplifier beaucoup de raisonnements en géométrie et de simplifier l'utilisation des transformations affines planes. Dans cet article, nous définissons dans un premier temps les nombres complexes massiques et dans un second temps, nous modéli-sons des arcs de coniques en utilisant des courbes de Bézier rationnelles quadratiques avec des points complexes massiques…

Husserl's Transcendentalization of Mathematical Naturalism

2020

Abstract The paper aims to capture a form of naturalism that can be found “built-in” in phenomenology, namely the idea to take science or mathematics on its own, without postulating extraneous normative “molds” on it. The paper offers a detailed comparison of Penelope Maddy’s naturalism about mathematics and Husserl’s approach to mathematics in Formal and Transcendental Logic (1929). It argues that Maddy’s naturalized methodology is similar to the approach in the first part of the book. However, in the second part Husserl enters into a transcendental clarification of the evidences and presuppositions of the mathematicians’ work, thus “transcendentalizing” his otherwise naturalist approach t…

Evaluación y caracterización biomecánica de los trinquetes de pelota valenciana. (Biomechanical assessment and characterization of the Valencian ball…

2012

El trinquete es la instalacion de referencia en la practica de la pelota valenciana, donde se juegan las modalidades profesionales de escala i corda y raspall. Sin embargo, no existe una normativa ni procedimientos de ensayo especificos que permitan definir las caracteristicas mecanicas que deben reunir paredes y pavimento del trinquete, para que los jugadores tengan una practica segura y optimicen su rendimiento. El objetivo de este estudio fue analizar diferentes variables mecanicas en las instalaciones de juego, determinar los procedimientos de ensayo mas adecuados y, finalmente, proponer unos valores mecanicos que definan una instalacion de calidad. Los estudios se llevaron a cabo en 10…

Positive solutions for nonlinear Robin problems

2017

We consider a parametric Robin problem driven by the p-Laplacian with an indefinite potential and with a superlinear reaction term which does not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions. We prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions as the parameter varies. We also show the existence of a minimal positive solution $\tilde{u}_\lambda$ and establish the monotonicity and continuity of the map $\lambda\to \tilde{u}_\lambda$.

Students' problems in the identification of subspaces in Linear Algebra

2018

International audience; The goal of the study presented in this paper is the investigation of students' problems with exercises concerning central topics of linear algebra courses at university level. We present the results of our analysis of students' work on an exercise about subspaces of . We evaluated the written solutions of the task as well as transcripts based on videos taken of student groups working on the problem. We identified and classified descriptions of vector spaces and subspaces that varied widely and demonstrated highly different skills in working with geometric or formal algebraic objects. We analyzed how far students could progress in a complex reasoning process, and ide…

Constant sign and nodal solutions for parametric anisotropic $(p, 2)$-equations

2021

We consider an anisotropic ▫$(p, 2)$▫-equation, with a parametric and superlinear reaction term.Weshow that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing). The proofs use tools from critical point theory, truncation and comparison techniques, and critical groups. Spletna objava: 9. 9. 2021. Abstract. Bibliografija: str. 1076.