Friday, November 6th, 2009
Introduction to Invariants
Description
A detailed tutorial on invariants and the property of invariance. Step by step tutorial including several examples of invariants for reference.
Overview
Invariants are any function or number that displays the property of invariance. Invariance is when a function or number can go through several transformations without changing, or without going outside of its set parameters. The set parameters differ depending on the function or number. Some examples of invariant functions and numbers are the absolute value of a complex number, the degree of a polynomial, and certain parts of a square matrix
Tags: absolute, arithmetic, complex, degree, determinant, eigenvalue, eigenvector, function, invariance, invariant, matrix, number, parameters, polynomial, square, trace, transformations, value
Posted in Arithmetic | No Comments »
Friday, October 9th, 2009
Introduction to Linear Regression
Description
A detailed tutorial on linear regression. Step by step tutorial including several example problems of linear regression for reference.
Overview
Regression is a type of analysis that is used for analyzing several variables when the focus is on a dependent variable and one or more independent variables. Linear regression is when the dependent variable is a linear combination of the parameters. It can be used for both straight lines and parabolas, and each has a different formula.
Straight Line: 
Parabola: 
Tags: algebra, analyzing, combination, dependent, focus, independent, line, linear, Math, parabola, parameters, regression, straight, variable
Posted in Algebra | No Comments »