# Mathematics

## substitution group

A substitution group is a list of global elements that can be present in place of another global element, called the head ...

## Whitehead, Alfred North (18611947)

Alfred North Whitehead (18611947) was a British mathematician and philosopher best known for his work in mathematical logic ...

## exhaustive

adjective. If you describe a study, search, or list as exhaustive, you mean that it is very thorough and complete. This is by ...

## observation

The definition of an observation is the act of noticing something or a judgment or inference from something seen or ...

## semiprime

Semiprime numbers have no composite numbers as factors other than themselves. For example, the number 26 is semiprime and its ...

## sifting property

This is called the “sifting” property because the impulse function d(t-?) sifts through the function f(t) and ...

## initialize

Theoretically, there should be separate spellings depending on your system’s locale settings. If it’s set to ...

## Schrdinger, Erwin Rudolf Alexander (18871961)

Schrodinger constructed his imaginary experiment with the cat to demonstrate that simple misinterpretations of quantum theory ...

## anti-

antithetical, conflicting, contrary, incompatible, inconsistent, paradoxical, adverse, contradictory, discordant, hostile, ...

## Hermitian

A Hermitian matrix is a matrix that is equal to its conjugate transpose. This generalizes the concept of a “symmetric ...

## What is Coprime Integer?

In mathematics, two integers a and b are coprime, relatively prime or mutually prime if the only positive integer that is a ...

## Bessel function

Bessel functions are used to solve in 3D the wave equation at a given (harmonic) frequency. The solution is generally a sum of ...

## total differential

For a function of two or more independent variables, the total differential of the function is the sum over all of the ...

## algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic ...

## Boolean-valued function

A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f : X ? B, where X is an ...

## Kraft inequality

In other words, a prefix code is a code in which no codeword is a prefix of another codeword, neither can a codeword be ...

## complete lattice

The concept. Definition. A lattice L is said to be complete if (i) every subset S of L has a least upper bound (denoted sup S) ...

## Cauchy’s Theorem(complex analysis)

Complex Analysis In general, line integrals depend on the curve. But if the integrand f(z) is holomorphic, Cauchy’s ...

## equivalence relation

Equivalence relations are often used to group together objects that are similar, or equiv- alent, in some sense. Example: The ...

## astroid

An astroid is a particular mathematical curve: a hypocycloid with four cusps. Specifically, it is the locus of a point on a ...

## isoperimetric inequality

There are, in fact, two ways to measure the spherical area enclosed by a simple closed curve, but the inequality is symmetric ...

## Aitken’s method(in numerical analysis)

Aitken’s ?2 method is used to accelerate convergence of sequences, e.g. sequences obtained from iterative methods.

## Vitali set

Summing infinitely many copies of the constant ?(V) yields either zero or infinity, according to whether the constant is zero ...

## order notation

What Are the Types of Musical Notation? Standard notation on musical staves. Lead sheets. Guitar tablature. Bar-based MIDI ...

## orthogonal curves

Two (or more) intersecting curves that are perpendicular at their intersection are said to be orthogonal.

## metric space

A metric space is a set where a notion of distance (called a metric) between elements of the set is defined. Every metric ...