Papers by TE A Joan Carlos
This thesis describes an algorithm by Rubinstein that distinguishes whether a 3manifold is the 3-... more This thesis describes an algorithm by Rubinstein that distinguishes whether a 3manifold is the 3-sphere or not. We give the details of Matveev's version of this algorithm. The algorithm considers a 3-manifold by means of the handle decomposition generated by a special spine. If the 3-manifold is the 3-sphere, a theorem by Rubinstein guarantees that there is a 2-normal 2-sphere contained in the 3-manifold with the property that in the intersection of this 2-sphere and at least one ball (0handle) of the decomposition appears a quadrilateral or an octagon. The algorithm looks for such a 2-sphere and if it is not found, it is concluded that the 3-manifold is not the 3-sphere. If such a 2-sphere is found, it is used to cut the 3-manifold into several pieces which are 3-manifolds with smaller "complexity" and such that the original 3-manifold is a 3-sphere if and only if each of the pieces is a 3-sphere. To determine if one of the pieces is the 3-sphere, the algorithm is applied recursively, unless it is trivially the 3-sphere (its spine is a point).
Pontificia Universidad Católica del Ecuador, 2014
Actually, 70% of school graduates still do not decide what career to study or what type of predom... more Actually, 70% of school graduates still do not decide what career to study or what type of predominant multiple intelligence they have. It is precisely this concern that motivated an investigation, whose objective is to determine the relationship between vocational choice and multiple intelligences in fourth and fifth high school students of the San Francisco de Borja School. The units of analysis were made up of 147 students. The type of research was basic, cross-correlation design being the hypothetical deductive method used. The sample was chosen for convenience. For the collection of data, the multiple intelligence questionnaire was applied, to determinate what type of intelligence was predominates and the Talento 45 test to know the vocational choice. Data analysis was performed as descriptive as inferential using frequency tables, bubble charts and the Spearman Rho correlation coefficient test. After processing the data with the SPSS v. 23, it was obtained that the research type vocational choice and the logical-mathematical intelligence were the most outstanding in the sample. At least two multiple intelligences were positively related to each type of vocational choice; however, the most significant were between intrapersonal intelligence and the realistic type (r = .325), between logical-mathematical intelligence and research type (r = .306), between interpersonal intelligence and the artistic type (r = .208), between interpersonal intelligence and social type (r = .316), between intrapersonal intelligence and the entrepreneurial type (r = .276) and finally between logical-mathematical intelligence and the conventional type (r = .399). Except for the very weak correlation between interpersonal intelligence and artistic choice, the multiple intelligences that are linked to each vocational choice were significantly related at weak level, so the null hypothesis (H0) was rejected and the research hypothesis (H1) was accepted.
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Papers by TE A Joan Carlos