Community articles — Math

Résolution de problème inverse par point fixe

Just another Factor Analysis derivation. Refer to Stanford Lecture Notes CS229.

section 10

ÁLGEBRA LINEAL

This is the fifth project option for Calculus I during Fall 2017 at Fitchburg State. This project involves ordering types of functions by investigating their limits at infinity.

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.

This paper describes the three conditions of damped oscillations and the mathematical formulations of each condition.

The lecture notes are based on Tom Coates' lecture on toric varieties. A few references: M. Audin, Toric actions on symplectic manifolds W. Fulton, Toric varieties Cox-Schenck-Little, Toric varieties

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