Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Algebraic number and Number

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Algebraic number and Number

Algebraic number vs. Number

An algebraic number is any complex number (including real numbers) that is a root of a non-zero polynomial (that is, a value which causes the polynomial to equal 0) in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients). A number is a mathematical object used to count, measure and also label.

Similarities between Algebraic number and Number

Algebraic number and Number have 28 things in common (in Unionpedia): Abel–Ruffini theorem, Addition, Algebraic integer, Algebraically closed field, Almost all, Complex number, Countable set, Division (mathematics), Field (mathematics), Galois theory, Gaussian integer, Integer, Irrational number, Monic polynomial, Multiplication, Nth root, Pi, Polynomial, Quintic function, Rational number, Real number, Ring (mathematics), Root of unity, Subset, Subtraction, Total order, Transcendental number, Zero of a function.

Abel–Ruffini theorem

In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.

Abel–Ruffini theorem and Algebraic number · Abel–Ruffini theorem and Number · See more »

Addition

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.

Addition and Algebraic number · Addition and Number · See more »

Algebraic integer

In algebraic number theory, an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading coefficient is 1) with coefficients in (the set of integers).

Algebraic integer and Algebraic number · Algebraic integer and Number · See more »

Algebraically closed field

In abstract algebra, an algebraically closed field F contains a root for every non-constant polynomial in F, the ring of polynomials in the variable x with coefficients in F.

Algebraic number and Algebraically closed field · Algebraically closed field and Number · See more »

Almost all

In mathematics, the term "almost all" means "all but a negligible amount".

Algebraic number and Almost all · Almost all and Number · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Algebraic number and Complex number · Complex number and Number · See more »

Countable set

In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.

Algebraic number and Countable set · Countable set and Number · See more »

Division (mathematics)

Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication.

Algebraic number and Division (mathematics) · Division (mathematics) and Number · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Algebraic number and Field (mathematics) · Field (mathematics) and Number · See more »

Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

Algebraic number and Galois theory · Galois theory and Number · See more »

Gaussian integer

In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers.

Algebraic number and Gaussian integer · Gaussian integer and Number · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

Algebraic number and Integer · Integer and Number · See more »

Irrational number

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

Algebraic number and Irrational number · Irrational number and Number · See more »

Monic polynomial

In algebra, a monic polynomial is a single-variable polynomial (that is, a univariate polynomial) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.

Algebraic number and Monic polynomial · Monic polynomial and Number · See more »

Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

Algebraic number and Multiplication · Multiplication and Number · See more »

Nth root

In mathematics, an nth root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x: where n is the degree of the root.

Algebraic number and Nth root · Nth root and Number · See more »

Pi

The number is a mathematical constant.

Algebraic number and Pi · Number and Pi · See more »

Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Algebraic number and Polynomial · Number and Polynomial · See more »

Quintic function

In algebra, a quintic function is a function of the form where,,,, and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero.

Algebraic number and Quintic function · Number and Quintic function · See more »

Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

Algebraic number and Rational number · Number and Rational number · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Algebraic number and Real number · Number and Real number · See more »

Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

Algebraic number and Ring (mathematics) · Number and Ring (mathematics) · See more »

Root of unity

In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power.

Algebraic number and Root of unity · Number and Root of unity · See more »

Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

Algebraic number and Subset · Number and Subset · See more »

Subtraction

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection.

Algebraic number and Subtraction · Number and Subtraction · See more »

Total order

In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is antisymmetric, transitive, and a connex relation.

Algebraic number and Total order · Number and Total order · See more »

Transcendental number

In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a nonzero polynomial equation with integer (or, equivalently, rational) coefficients.

Algebraic number and Transcendental number · Number and Transcendental number · See more »

Zero of a function

In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x).

Algebraic number and Zero of a function · Number and Zero of a function · See more »

The list above answers the following questions

Algebraic number and Number Comparison

Algebraic number has 69 relations, while Number has 289. As they have in common 28, the Jaccard index is 7.82% = 28 / (69 + 289).

References

This article shows the relationship between Algebraic number and Number. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »