Similarities between Axiom of choice and Complex number
Axiom of choice and Complex number have 19 things in common (in Unionpedia): Algebraic closure, Complex number, Continuous function, Dover Publications, Field (mathematics), Field extension, Hilbert space, Ideal (ring theory), Infinite set, Interval (mathematics), Mathematical analysis, Maximal ideal, Metric space, Real analysis, Real number, Ring (mathematics), Topological space, Transcendence degree, Vector space.
Algebraic closure
In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed.
Algebraic closure and Axiom of choice · Algebraic closure and Complex number ·
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.
Axiom of choice and Complex number · Complex number and Complex number ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Axiom of choice and Continuous function · Complex number and Continuous function ·
Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
Axiom of choice and Dover Publications · Complex number and Dover Publications ·
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.
Axiom of choice and Field (mathematics) · Complex number and Field (mathematics) ·
Field extension
In mathematics, and in particular, algebra, a field E is an extension field of a field F if E contains F and the operations of F are those of E restricted to F. Equivalently, F is a subfield of E. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.
Axiom of choice and Field extension · Complex number and Field extension ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Axiom of choice and Hilbert space · Complex number and Hilbert space ·
Ideal (ring theory)
In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.
Axiom of choice and Ideal (ring theory) · Complex number and Ideal (ring theory) ·
Infinite set
In set theory, an infinite set is a set that is not a finite set.
Axiom of choice and Infinite set · Complex number and Infinite set ·
Interval (mathematics)
In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.
Axiom of choice and Interval (mathematics) · Complex number and Interval (mathematics) ·
Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
Axiom of choice and Mathematical analysis · Complex number and Mathematical analysis ·
Maximal ideal
In mathematics, more specifically in ring theory, a maximal ideal is an ideal that is maximal (with respect to set inclusion) amongst all proper ideals.
Axiom of choice and Maximal ideal · Complex number and Maximal ideal ·
Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
Axiom of choice and Metric space · Complex number and Metric space ·
Real analysis
In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real-valued functions.
Axiom of choice and Real analysis · Complex number and Real analysis ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Axiom of choice and Real number · Complex number and Real number ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Axiom of choice and Ring (mathematics) · Complex number and Ring (mathematics) ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Axiom of choice and Topological space · Complex number and Topological space ·
Transcendence degree
In abstract algebra, the transcendence degree of a field extension L /K is a certain rather coarse measure of the "size" of the extension.
Axiom of choice and Transcendence degree · Complex number and Transcendence degree ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
Axiom of choice and Vector space · Complex number and Vector space ·
The list above answers the following questions
- What Axiom of choice and Complex number have in common
- What are the similarities between Axiom of choice and Complex number
Axiom of choice and Complex number Comparison
Axiom of choice has 173 relations, while Complex number has 295. As they have in common 19, the Jaccard index is 4.06% = 19 / (173 + 295).
References
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