What does elliptic curve mean?
Definitions for elliptic curve
el·lip·tic curve
This dictionary definitions page includes all the possible meanings, example usage and translations of the word elliptic curve.
Wikidata
Elliptic curve
In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O. An elliptic curve is in fact an abelian variety – that is, it has a multiplication defined algebraically, with respect to which it is a group – and O serves as the identity element. Often the curve itself, without O specified, is called an elliptic curve. Any elliptic curve can be written as a plane algebraic curve defined by an equation of the form: which is non-singular; that is, its graph has no cusps or self-intersections. The point O is actually the "point at infinity" in the projective plane. If y² = P(x), where P is any polynomial of degree three in x with no repeated roots, then we obtain a nonsingular plane curve of genus one, which is thus an elliptic curve. If P has degree four and is square-free this equation again describes a plane curve of genus one; however, it has no natural choice of identity element.
Numerology
Chaldean Numerology
The numerical value of elliptic curve in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of elliptic curve in Pythagorean Numerology is: 2
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"elliptic curve." Definitions.net. STANDS4 LLC, 2024. Web. 23 Apr. 2024. <https://www.definitions.net/definition/elliptic+curve>.
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