Search results for "General Mathematics"
showing 10 items of 3795 documents
Video Viewing Patterns Using Different Teaching Treatments: A Case Study Using YouTube Analytics
2019
Aquest estudi explora els patrons de visualització de 17 vídeos en un context tradicional daprenentatge i en un context de classe invertida per 723 estudiants de negocis cursant un mòdul relacionat amb . Mentre recerques anteriors s?han centrat principalment en resultats (per exemple, satisfacció/resultats dels alumnes), en aquest estudi l?enfocament recau en com la natura de les interaccions del estudiants amb el vídeos por determinar-se mitjançant un anàlisi profund de les dades analítiques. Els nostres resultats mostren menys interacció amb els vídeos en el context de la classe invertida que en el de la classe tradicional. De la mateixa manera, mostren un ús més elevat dels vídeos com a …
El pensamiento computacional en contextos educativos: una aproximación desde la Tecnología Educativa
2019
El pensamiento computacional ha vivido un resurgir en los últimos años, en los que la comunidad científica y educativa ha puesto su foco de interés sobre él como un aspecto relevante a incorporar de manera curricular. No obstante, la falta de consenso respecto a qué es y cómo trabajarlo tiene como resultado que se aborde de diferentes formas en la educación, lo que repercute directamente en el aprendizaje del alumnado. Desde enfoques más técnicos, que tienen el riesgo de no permitir aprovechar el potencial que tiene de ser integrado en la estrategia didáctica del docente, a enfoques más transversales, que sí profundizan en las posibilidades que tiene en el ámbito de la didáctica, pero que a…
Deciphering genomic heterogeneity and the internal composition of tumour activities through a hierarchical factorisation model
2021
Genomic heterogeneity constitutes one of the most distinctive features of cancer diseases, limiting the efficacy and availability of medical treatments. Tumorigenesis emerges as a strongly stochastic process, producing a variable landscape of genomic configurations. In this context, matrix factorisation techniques represent a suitable approach for modelling such complex patterns of variability. In this work, we present a hierarchical factorisation model conceived from a systems biology point of view. The model integrates the topology of molecular pathways, allowing to simultaneously factorise genes and pathways activity matrices. The protocol was evaluated by using simulations, showing a hi…
Fixed Points for Multivalued Convex Contractions on Nadler Sense Types in a Geodesic Metric Space
2019
In 1969, based on the concept of the Hausdorff metric, Nadler Jr. introduced the notion of multivalued contractions. He demonstrated that, in a complete metric space, a multivalued contraction possesses a fixed point. Later on, Nadler&rsquo
A tribute to Massimo Lanza de Cristoforis
2020
It is with great pleasure that we dedicate the special issue Functional Analytic Methods in Partial Differential Equations of Complex Variables and Elliptic Equations to the 60th birthday of Massim...
Entry-Item-Quantity-ABC Analysis-Based Multitype Cigarette Fast Sorting System
2012
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2012/847591 Open access Numerous items, small order, and frequent delivery are the characteristics of many distribution centers. Such characteristics generally increase the operating costs of the distribution center. To remedy this problem, this study employs the Entry-Item-Quantity (EIQ) method to identify the characteristic of the cigarette distribution center and further analyzes the importance degree of customers and the frequently ordered products by means of EQ/EN/IQ-B/IK statistic charts. Based on these analyses as well as the total rep…
On the arithmetic and geometry of binary Hamiltonian forms
2011
Given an indefinite binary quaternionic Hermitian form $f$ with coefficients in a maximal order of a definite quaternion algebra over $\mathbb Q$, we give a precise asymptotic equivalent to the number of nonequivalent representations, satisfying some congruence properties, of the rational integers with absolute value at most $s$ by $f$, as $s$ tends to $+\infty$. We compute the volumes of hyperbolic 5-manifolds constructed by quaternions using Eisenstein series. In the Appendix, V. Emery computes these volumes using Prasad's general formula. We use hyperbolic geometry in dimension 5 to describe the reduction theory of both definite and indefinite binary quaternionic Hermitian forms.
Abel transforms with low regularity with applications to X-ray tomography on spherically symmetric manifolds
2017
We study ray transforms on spherically symmetric manifolds with a piecewise $C^{1,1}$ metric. Assuming the Herglotz condition, the X-ray transform is injective on the space of $L^2$ functions on such manifolds. We also prove injectivity results for broken ray transforms (with and without periodicity) on such manifolds with a $C^{1,1}$ metric. To make these problems tractable in low regularity, we introduce and study a class of generalized Abel transforms and study their properties. This low regularity setting is relevant for geophysical applications.
Indefinite integrals involving the incomplete elliptic integrals of the first and second kinds
2016
ABSTRACTA substantial number of indefinite integrals are presented for the incomplete elliptic integrals of the first and second kinds. The number of new results presented is about three times the total number to be found in the current literature. These integrals were obtained with a Lagrangian method based on the differential equations which these functions obey. All results have been checked numerically with Mathematica. Similar results for the incomplete elliptic integral of the third kind will be presented separately.
Indefinite integrals involving the incomplete elliptic integral of the third kind
2016
ABSTRACTA substantial number of new indefinite integrals involving the incomplete elliptic integral of the third kind are presented, together with a few integrals for the other two kinds of incomplete elliptic integral. These have been derived using a Lagrangian method which is based on the differential equations which these functions satisfy. Techniques for obtaining new integrals are discussed, together with transformations of the governing differential equations. Integrals involving products combining elliptic integrals of different kinds are also presented.