Category Mathematics

Archimedes Discovery of Pi

Archimedes Discovery of Pi

Introduction Greek Mathematician Archimedes’s discovery of Pi is the largest fraction known to humans. The number π (spelled as “pi”) is a mathematical constant – approximately equal to 3.14159. It is defined as the ratio of a circle’s circumference to…

Eigen Decomposition

Eigen Decomposition

Introduction Eigen decomposition is very important in linear algebra. It is a factorization of a matrix into a canonical form. The matrix is denoted in terms of its eigenvalues and eigenvectors. Merely diagonalizable matrices may be factorized in this manner.…

What is Bootstrap Method in Statistics?

Bootstrap Method in Statistic

Introduction The Bootstrap Method in Statistic is a statistical practice for assessing numbers about a population by more or fewer approximations from many small data samples. Bootstrapping allocates measures of accuracy to sample approximations. This method permits estimation of the…

What Are Vector Spaces?

vector space

Introduction A vector space is a set of objects known as vectors that may be added together and multiplied by numbers, called scalars. Scalars are often taken to be real numbers, but they’re also are vector spaces with scalar multiplication…

Matrices Role in Linear Algebra

Matrices Role In Linear Algebra

Introduction Matrices Role In Linear Algebra and play a dominant role in linear algebra. They may be used to efficiently represent systems of linear equations, and then they also represent linear functions or linear mappings. Before we talk over certain…