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Degree of a field extension and Elliptic curve

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

Difference between Degree of a field extension and Elliptic curve

Degree of a field extension vs. Elliptic curve

In mathematics, more specifically field theory, the degree of a field extension is a rough measure of the "size" of the field extension. 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 Degree of a field extension and Elliptic curve

Degree of a field extension and Elliptic curve have 10 things in common (in Unionpedia): Algebraic curve, Complex number, Field (mathematics), Field extension, Finite field, Mathematics, Number theory, Prime number, Rational function, Real number.

Algebraic curve

In mathematics, a plane real algebraic curve is the set of points on the Euclidean plane whose coordinates are zeros of some polynomial in two variables.

Algebraic curve and Degree of a field extension · Algebraic curve and Elliptic curve · 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.

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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.

Degree of a field extension 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.

Degree of a field extension and Field extension · Elliptic curve and Field extension · See more »

Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Degree of a field extension and Mathematics · Elliptic curve and Mathematics · See more »

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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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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Rational function

In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.

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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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The list above answers the following questions

Degree of a field extension and Elliptic curve Comparison

Degree of a field extension has 30 relations, while Elliptic curve has 159. As they have in common 10, the Jaccard index is 5.29% = 10 / (30 + 159).

References

This article shows the relationship between Degree of a field extension and Elliptic curve. To access each article from which the information was extracted, please visit:

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