Elliptic curve and Factorization

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

Difference between Elliptic curve and Factorization

Elliptic curve vs. Factorization

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. In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

Algebra and Elliptic curve · Algebra and Factorization · See more »

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

Algorithm and Elliptic curve · Algorithm and Factorization · See more »

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 Elliptic curve · Characteristic (algebra) and Factorization · 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.

Complex number and Elliptic curve · Complex number and Factorization · See more »

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

Coprime integers and Elliptic curve · Coprime integers and Factorization · See more »

Discriminant

In algebra, the discriminant of a polynomial is a polynomial function of its coefficients, which allows deducing some properties of the roots without computing them.

Discriminant and Elliptic curve · Discriminant and Factorization · See more »

Euclidean algorithm

. EXAMPLES CAN BE FOUND BELOW, E.G., IN THE "Matrix method" SECTION.

Elliptic curve and Euclidean algorithm · Euclidean algorithm and Factorization · See more »

Fermat's Last Theorem

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than 2.

Elliptic curve and Fermat's Last Theorem · Factorization and Fermat's Last Theorem · 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.

Elliptic curve and Field (mathematics) · Factorization and Field (mathematics) · 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.

Elliptic curve and Finite field · Factorization and Finite field · See more »

Integer factorization

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

Elliptic curve and Integer factorization · Factorization and Integer factorization · See more »

Mathematics

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

Elliptic curve and Mathematics · Factorization and Mathematics · See more »

Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

Elliptic curve and Modular arithmetic · Factorization and Modular arithmetic · See more »

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.

Elliptic curve and Prime number · Factorization and Prime number · See more »

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.

Elliptic curve and Rational function · Factorization and Rational function · See more »

Real number

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

Elliptic curve and Real number · Factorization and Real number · See more »

Up to

In mathematics, the phrase up to appears in discussions about the elements of a set (say S), and the conditions under which subsets of those elements may be considered equivalent.

Elliptic curve and Up to · Factorization and Up to · See more »