Faster access than browser!Similarities between Complex number and Local field
Complex number and Local field have 14 things in common (in Unionpedia): Algebraic number field, Characteristic (algebra), Complex number, Exponentiation, Field (mathematics), Fraction (mathematics), Isomorphism, Locally compact space, Number theory, P-adic number, Prime ideal, Prime number, Real number, Topological ring.
Algebraic number field
In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.
Algebraic number field and Complex number · Algebraic number field and Local field ·
Characteristic (algebra)
In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.
Characteristic (algebra) and Complex number · Characteristic (algebra) and Local field ·
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.
Complex number and Complex number · Complex number and Local field ·
Exponentiation
Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.
Complex number and Exponentiation · Exponentiation and Local field ·
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.
Complex number and Field (mathematics) · Field (mathematics) and Local field ·
Fraction (mathematics)
A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
Complex number and Fraction (mathematics) · Fraction (mathematics) and Local field ·
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
Complex number and Isomorphism · Isomorphism and Local field ·
Locally compact space
In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.
Complex number and Locally compact space · Local field and Locally compact space ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Complex number and Number theory · Local field and Number theory ·
P-adic number
In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems.
Complex number and P-adic number · Local field and P-adic number ·
Prime ideal
In algebra, a prime ideal is a subset of a ring that shares many important properties of a prime number in the ring of integers.
Complex number and Prime ideal · Local field and Prime ideal ·
Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
Complex number and Prime number · Local field and Prime number ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Complex number and Real number · Local field and Real number ·
Topological ring
In mathematics, a topological ring is a ring R which is also a topological space such that both the addition and the multiplication are continuous as maps where R × R carries the product topology.
Complex number and Topological ring · Local field and Topological ring ·
The list above answers the following questions
- What Complex number and Local field have in common
- What are the similarities between Complex number and Local field
Complex number and Local field Comparison
Complex number has 295 relations, while Local field has 52. As they have in common 14, the Jaccard index is 4.03% = 14 / (295 + 52).
References
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