Percent change (percent difference)

The percent change (percent difference) between two values is a measure of the relative change between those values. It is calculated as a percentage, using the following formula: Percent change = (new value – old value) / old value * 100 For example, if the old value is 10 and the new value is 12, … Read more

Algebraic number

In mathematics, an algebraic number is a number that is a root of a non-zero polynomial in one variable with rational coefficients. Algebraic numbers include rational numbers, which are roots of polynomials with degree one, and irrational numbers, which are roots of polynomials with degree greater than one. Every real number is either rational or … Read more

Ethereum

Ethereum is a decentralized platform that runs smart contracts: applications that run exactly as programmed without any possibility of fraud or third party interference. Ethereum is a public blockchain-based distributed computing platform, featuring smart contract functionality. It provides a decentralized virtual machine, the Ethereum Virtual Machine (EVM), which can execute scripts using an international network … Read more

Number theory (higher arithmetic)

Number theory is the study of the properties of integers. It is a branch of pure mathematics that is concerned with the study of the integers and their algebraic and arithmetical properties. Number theory has its origins in the study of the integers and their properties. It is a branch of mathematics that is concerned … Read more

Googol and googolplex

A googol is a 1 with a hundred zeroes after it, denoted 10100, while a googolplex is 1 with a googol zeroes after it, denoted 10googol. The terms were coined by 9-year-old Milton Sirotta, nephew of American mathematician Edward Kasner, and were popularized in the book “Mathematics and the Imagination” (1940) by Kasner and James … Read more

Fibonacci sequence

In mathematics, the Fibonacci sequence is a sequence of integers in which each successive integer is the sum of the previous two. The sequence begins with 0 and 1, and the next integer in the sequence is always the sum of the previous two. The Fibonacci sequence is named after Leonardo of Pisa, who was … Read more

Collaborative filtering

Collaborative filtering is a method of making recommendations that is based on the collective input of many individuals, rather than on the input of a single expert. The idea behind collaborative filtering is that people who have similar tastes will tend to like the same things. So, if you can find out what other people … Read more

Incompleteness Theorem

The Incompleteness Theorem is a theorem in mathematical logic that states that any formal system that is powerful enough to describe the natural numbers is necessarily incomplete: there are statements in the formal system that can be neither proved nor disproved within the system. The theorem was first proved by Kurt Gödel in 1931, using … Read more

Logarithm (logarithmic)

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x. In the simplest case, the logarithm counts repeated multiplication of the same factor; e.g., since 1000 = … Read more