Backpropagation Derivation The post delves into the mathematics of how backpropagation is defined. It has its roots in partial derivatives and is easily understandable andrew-ng machine-learning mathematics

Congruence and Modular Arithmetic If two numbers have the property that their difference is integrally divisible by a number (i.e., is an integer), then they are said to be "congruent modulo". mathematics number-system what-is-mathematics

The Mysterious Primes Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, a mystery into which the human mind will possibly never penetrate. mathematics number-system what-is-mathematics

Mathematical Induction Mathematical induction is a mathematical proof technique used to prove a given statement about any well-ordered set. mathematics number-system what-is-mathematics theorems

What is Number System ? A number system is a way to represent numbers. We are used to using the base-10 number system, which is also called decimal. mathematics number-system what-is-mathematics

Normal Equation Given a matrix equation, the normal equation is one which minimizes the sum of the square differences between the left and right sides machine-learning mathematics andrew-ng

Linear Algebra Review Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces machine-learning mathematics andrew-ng

The Normal Distribution The normal distribution, also known as the Gaussian or standard normal distribution, is the probability distribution that plots all of its values in a symmetrical fashion, and most of the results are situated around the probability's mean. concept mathematics probability

Random Projection in Dimensionality Reduction The dimensions and distribution of random projections matrices are controlled so as to preserve the pairwise distances between any two samples of the dataset. concept machine-learning mathematics