In this Thesis, we explore a brief introduction to Tropical Algebra and Geometry. We present fundamental definitions and properties of the operations that constitute the tropical semiring, as well as the study and ...

This work describes the academic journey of the first author in a Mathematics Teaching Degree, emphasizing her experiences as a neurodivergent individual (with Attention Deficit Hyperactivity Disorder, dysorthographia, and ...

In this work, we present the classification of real and complex semisimple Lie algebras. Actually, we only introduce the real case, while we show the complete classification in the complex setting. In order to achieve this ...

This study will explore the use of the GeoGebra software, introducing and investigating the concept of dynamic geometry through a step-by-step methodology, which allows for the construction and manipulation of geometric ...

In this work it is defined what are principal components of multivariate data as well as their importance, their properties and their applications. We will then analyze the possibility of applying the PCA to Covid-19 data ...

This work aimed to expand and develop methods for teaching and learning of Mathematics, in particular, seeking possibilities for introducing probabilities for Basic Education through the use of mathematical challenges and ...

This study explores Sequential Markov Decision Models, or Markov Decision Processes (MDPs), which are used for sequential decision-making in stochastic environments. With practical applications in areas like marketing and ...

Visualization in Mathematics is an area of research that studies visual elements in computational tools, such as graphs, diagrams and geometric representations to communicate certain mathematical content that can assist ...

This thesis explores statistical regression techniques, organized into three main sections. The first section addresses the construction of linear regression using the least squares method, which minimizes discrepancies ...

The present work aims to introduce concepts and properties of finite-dimensional associative algebras, in order to describe their structure. In the first chapter, we will present properties of a few algebraic structures, ...