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 its diameter & is also called Archimedes constant. The π cannot be expressed as a … Read more

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. The decomposition is named spectral decomposition when the matrix being factorized is a normal symmetric … Read more

Orthogonality in Mathematics and Computer Science

Orthogonality in Mathematics and Computer Science

Introduction Today, in this post, we will learn about Orthogonality in Mathematics and Computer Science. Mathematics Orthogonality is an outline of the idea of perpendicularity to the linear algebra of bilinear forms. When B (u, v) = 0, two elements u and v of a vector space with bilinear form B are orthogonal. The vector … Read more

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 sampling distribution of nearly any statistic using random sampling methods. The bootstrap method estimates the … Read more

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 by complex numbers, rational numbers, or generally any field. The processes of vector addition and … Read more

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 of these exciting topics, let us first describe what a matrix is and what kind … Read more

Maths Groups and Their Role in Computing Science

Math Group and Their Role in Computing Science

Introduction Maths Group and Their Role in Computing Science play a significant role in computer science. In addition given that a fundamental framework for operations on sets, they are deeply used in cryptography, coding theory, and graphics. Groups are vibrant to modern algebra; their simple structure may be found in many mathematical phenomena. Groups may … Read more