Four IMO problems.
Fractal geometry as design aid.
Fractals and Multi Layer Coloring Algorithms
Framework for mobile learning system based on educational component.
Fredholm points of compactly perturbed bounded linear operators
Free loop spaces and cyclohedra
It is well-known that a based space is of the weak homotopy type of a loop space iff it is a grouplike algebra over an -operad. The classical model for such an operad consists of Stasheff’s associahedra. The present paper describes a similar recognition principle for free loop spaces. Let be an operad, a -module and a -algebra. An -trace over consists of a space and a module homomorphism over the operad homomorphism given by the algebra structure on . Let be the little 1-cubes...
Free vibrations for the equation with sublinear
From astrology to topology via Feynman diagrams and Lie algebras
Summary of the three lectures. These notes are available electronically at http://www.ma.huji.ac.il/~drorbn/Talks/Srni-9901/notes.html.
From binary cube triangulations to acute binary simplices
Cottle’s proof that the minimal number of -simplices needed to triangulate the unit -cube equals uses a modest amount of computer generated results. In this paper we remove the need for computer aid, using some lemmas that may be useful also in a broader context. One of the -simplices involved, the so-called antipodal simplex, has acute dihedral angles. We continue with the study of such acute binary simplices and point out their possible relation to the Hadamard determinant problem.
From convergence of operator semigroups to gene expression, and back again
The subject of the paper is reciprocal influence of pure mathematics and applied sciences. We illustrate the idea by giving a review of mathematical results obtained recently, related to the model of stochastic gene expression due to Lipniacki et al. [38]. In this model, featuring mRNA and protein levels, and gene activity, the stochastic part of processes involved in gene expression is distinguished from the part that seems to be mostly deterministic, and the dynamics is expressed by means of a...
From data collection to mathematical models: methodological pathways.
From Pixels and Minds to the Mathematical Knowledge in a Digital Library
Experience in setting up a workflow from scanned images of mathematical papers into a fully fledged mathematical library is described on the example of the project Czech Digital Mathematics Library DML-CZ. An overview of the whole process is given, with description of all main production steps. DML-CZ has recently been launched to public with more than 100,000 digitized pages.
From the comprehension of learning processes to the concept of teaching process. (De la compréhension des processus d'apprentissage à la conception de processus d'enseignement.)
From the Fermi-Walker to the Cartan connection
Let be a -manifold with a Riemannian conformal structure . Given a regular curve on , the authors define a linear operator on the space of (differentiable) vector fields along , only depending on , called the Fermi-Walker connection along . Then, the authors introduce the concept of Fermi-Walker parallel vector field along , proving that such vector fields set up a linear space isomorphic to the tangent space at a point of . This allows to consider the Fermi-Walker horizontal lift of...
From the report of the organizing committee
From the report of the organizing committee
Front Matter
Front Matter
Fully nonlinear elliptic equations and applications
Functional movements in dendritic structures