Gallery — Math

We will study some aspects of the damped driven pendulum. We will see that the trajectory of damped driven pendulum is unpredictable under certain ranges of parameters. Under some conditions, the trajectory behaves like random. A perturbation of initial condition will lead to different result. Several mathematical tools will be introduced in this study.

Primeiras questões respondidas do banco de Cálculo 1 da UFAL.

Theory of Analysis Project

A simple proofs essay using basic theorems while trying to get a grasp on LaTeX

Document describing basic economic and statistical analysis and how to apply them to machine learning

Cour 1 ere AS

Resolução

A basic understanding on Bayes' theorem and how to apply it to baseball statistics.

Suppose you have a data matrix comprised of several stock options over a set period of time. How do you choose the optimal collection of stocks such that you maximize your returns for a given level of risk? What Markowitz found was an elegant equation. What we realized rather quickly is there does not exist a closed form solution to this problem. Instead we use the tried and tested linear approximation. By transforming this problem into Matrix multiplication, we are able to quickly and (with desired accuracy) approximate the optimal solution, using only linear algebra.