Gallery — Math

This paper will be looking at the development of random Fibonacci sequences throughout history and investigating the various mathematical methods used by many mathematicians to determine important qualities about the sequence, which all lead to the growth rate.

Notes on Machine Learning.

Um artigo que sugere somente a compreensão dos limites, sem o uso de sua definição formal, que se desenvolve até o entendimento das operações de diferenciação.

The Schroeder-Bernstein theorem

A simple derivation of the relationship between dot products and cosines. I wrote this reacquaint myself with LaTeX.

The lecture notes are based on the number theory topics course on 3 Feb, 2016.

Based on the paper Sometimes Newton's Method Cycles, we first asked ourselves if there were any Newtonian Method Cycle functions which have non-trivial guesses. We encountered a way to create functions that cycle between a set number of points with any initial, non-trivial guesses when Newton's Method is applied. We exercised these possibilities through the methods of 2-cycles, 3-cycles and 4-cycles. We then generalized these cycles into k-cycles. After generalizing Newton's Method, we found the conditions that skew the cycles into a spiral pattern which will either converge, diverge or become a near-cycle. Once we obtained all this information, we explored additional questions that rose up from our initial exploration of Newton's Method.

Perusanalyysi.

A Statistics paper on Correlation and Linear Relationships.