The Theory of Hierarchical Cores Case: Analysis of Use of Technologies Level among Higher Education Students in Mexico | Chapter 15 | Recent Studies in Mathematics and Computer Science Vol. 3

 This paper shows the theoretical development of hierarchy by cores or kernels and an algorithm used to obtain

an interesting class or partition from a hierarchy. Also shown is a the theorem about the Cores Optimal Criterion
and how it is expressed as a function of the masses of the points of the vector space and product scale points, the
inertia of the cloud formed by those two points or hierarchical nodes, which are called subcores or sub-kernels.
Using the theory shown, three factors from which hierarchical aggregation of variables under study was built, as
well as hierarchical cores showing the level of use of pocket computing technologies by students. The principal
factors influencing the level of use of pocket computing technologies among higher education students is
analyzed from a theoretical aggregation development based on hierarchical cores. The theoretical part includes
the development of an algorithm used to obtain an interesting class or partition from a hierarchy. The
experimental work carried out included design, preparation and application of a questionnaire to higher
education students in Mexico. A pilot test was carried out to check timing and repetition of questions. Data was
recorded, validated, and mathematically and statistically analyzed.

Author (s) Details

Francisco Casanova-del-Angel
Sección de Estudios de Posgrado e Investigación de la ESIA, Unidad Profesional Adolfo López Mateos, C.P: 07320, Instituto Politécnico
Nacional, Ciudad de México, Mexico.

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