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Complex number and Elliptic curve

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

Difference between Complex number and Elliptic curve

Complex number vs. Elliptic curve

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. In mathematics, an elliptic curve is a plane algebraic curve defined by an equation of the form which is non-singular; that is, the curve has no cusps or self-intersections.

Similarities between Complex number and Elliptic curve

Complex number and Elliptic curve have 17 things in common (in Unionpedia): Absolute convergence, Absolute value, Algebraic closure, Algebraic number field, Analytic continuation, Characteristic (algebra), Complex number, Ellipse, Field (mathematics), Field extension, Meromorphic function, Nicolas Bourbaki, Number theory, Power series, Prime number, Real number, Riemann zeta function.

Absolute convergence

In mathematics, an infinite series of numbers is said to converge absolutely (or to be absolutely convergent) if the sum of the absolute values of the summands is finite.

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Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

Absolute value and Complex number · Absolute value and Elliptic curve · See more »

Algebraic closure

In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed.

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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.

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Analytic continuation

In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function.

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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.

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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 Elliptic curve · See more »

Ellipse

In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.

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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) · Elliptic curve and Field (mathematics) · See more »

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.

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Meromorphic function

In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all of D except for a discrete set of isolated points, which are poles of the function.

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Nicolas Bourbaki

Nicolas Bourbaki is the collective pseudonym under which a group of (mainly French) 20th-century mathematicians, with the aim of reformulating mathematics on an extremely abstract and formal but self-contained basis, wrote a series of books beginning in 1935.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Power series

In mathematics, a power series (in one variable) is an infinite series of the form where an represents the coefficient of the nth term and c is a constant.

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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.

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Real number

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

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Riemann zeta function

The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.

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The list above answers the following questions

Complex number and Elliptic curve Comparison

Complex number has 295 relations, while Elliptic curve has 159. As they have in common 17, the Jaccard index is 3.74% = 17 / (295 + 159).

References

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

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