Instituto Tecnológico Autónomo de México

About: Instituto Tecnológico Autónomo de México is a education organization based out in Mexico City, Mexico. It is known for research contribution in the topics: Politics & Population. The organization has 1098 authors who have published 2532 publications receiving 39083 citations. The organization is also known as: Instituto Tecnologico Autonomo de Mexico & Mexico Autonomous Institute of Technology.

Kinematic Analysis of Complex Therapeutic Movements of the Upper Limb

Abstract: The paper presents the results of kinematic analysis of therapeutic movements of the upper limb, according to PNF method recommendations. Real trajectories of upper limb movements were recorded using the photogrammetric method. The measuring site consisted of a set of 8 digital cameras, two computer workstations, a set of markers, calibrating dice and light sources. On the basis of the recorded images and calculations performed with the use of specialized software, model trajectories of the analyzed movements and values of relative angular translocations and angular velocity in individual joints of the limb were defined.

An analysis of different representations for vectors and planes in ℝ 3 $\mathbb {R}^{3}$

Abstract: The purpose of this paper is to present an analysis of the difficulties faced by students when working with different representations of vectors, planes and their intersections in $\mathbb {R}^{3}$ . Duval’s theoretical framework on semiotic representations is used to design a set of evaluating activities, and later to analyze student work. The analysis covers three groups of undergraduate students taking introductory courses in linear algebra. Different types of treatments and conversions are required to solve the activities. One important result shows that, once students choose a register to solve a task, they seldom make transformations between different registers, even though this facilitates solving the task at hand. Identifying these difficulties for particular transformations may help teachers design specific activities to promote students cognitive flexibility between representation registers.

Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map

Abstract: We study a two-parameter family of standard maps: the so-called two-harmonic family. In particular, we study the areas of lobes formed by the stable and unstable manifolds. Variational methods are used to find heteroclinic orbits and their action. A specific pair of heteroclinic orbits is used to define a difference in action function and to study bifurcations in the stable and unstable manifolds. Using this idea, two phenomena are studied: the change of orientation of lobes and tangential intersections of stable and unstable manifolds.