Education and Didactics

2507 Submissions

[2] viXra:2507.0178 [pdf] submitted on 2025-07-25 03:23:14

A Glimpse on Graph Theory and Social Networks

Authors: Vicente Pedro Diogo
Comments: 3 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)

Mathematics is more than just numbers and equations; it is a powerful tool in which all Universe laws are based on. From the simple action of counting coins to complex engineering structure, math is very important in our daily lives. This article explores the surprising ways maths is into our everyday experiences, by diving into the relationships between Discrete Math and Network Sciences analysis : The Graph theory and its Application on Social Networks. The article gives finally a brief and accessible reflection on how Graph theory helps the information diffusion on many digital platforms like Facebook and Linkedln , this work is for a general public rather than a specialized and mathematically rigorous work.
Category: Education and Didactics

[1] viXra:2507.0030 [pdf] submitted on 2025-07-04 14:51:15

On the Decomposition of a Vector Using Complex Numbers

Authors: Aloys J. Sipers, Joh. J. Sauren
Comments: 3 Pages.

In this letter a theorem is stated on the decomposition of a vector with respect to two axes using complex numbers. This theorem may serve to develop exercises for education in mathematics and physics. In most physics exercises the vectors are given by their polar coordinates. Motivated by practical applications, we denote the vectors by their Cartesian coordinates. Cartesian coordinates provide a didactic aid to develop exercises which can be solved without the use of a calculator. The educational potential of the theorem is demonstrated by a numerical example.
Category: Education and Didactics