- Euclidean form
- Математика: евклидова форма
Универсальный англо-русский словарь. Академик.ру. 2011.
Euclidean form
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Euclidean space — Every point in three dimensional Euclidean space is determined by three coordinates. In mathematics, Euclidean space is the Euclidean plane and three dimensional space of Euclidean geometry, as well as the generalizations of these notions to… … Wikipedia
Euclidean subspace — In linear algebra, an Euclidean subspace (or subspace of R n ) is a set of vectors that is closed under addition and scalar multiplication. Geometrically, a subspace is a flat in n dimensional Euclidean space that passes through the origin.… … Wikipedia
Euclidean vector — This article is about the vectors mainly used in physics and engineering to represent directed quantities. For mathematical vectors in general, see Vector (mathematics and physics). For other uses, see vector. Illustration of a vector … Wikipedia
Euclidean plane isometry — In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. There are four types: translations, rotations, reflections,… … Wikipedia
Euclidean group — In mathematics, the Euclidean group E ( n ), sometimes called ISO( n ) or similar, is the symmetry group of n dimensional Euclidean space. Its elements, the isometries associated with the Euclidean metric, are called Euclidean moves.These groups… … Wikipedia
Euclidean domain — In abstract algebra, a Euclidean domain (also called a Euclidean ring) is a type of ring in which the Euclidean algorithm applies. A Euclidean domain is a specific type of integral domain, and can be characterized by the following (not… … Wikipedia
Euclidean field — In mathematics, a Euclidean field is an ordered field K for which every non negative element is a square: that is, x ≥ 0 in K implies that x = y 2 for some y in K .Properties* Every Euclidean field is an ordered Pythagorean field, but the… … Wikipedia
Non-Euclidean geometry — Behavior of lines with a common perpendicular in each of the three types of geometry Non Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate,… … Wikipedia
Pseudo-Euclidean space — A pseudo Euclidean space is a finite dimensional real vector space together with a non degenerate indefinite quadratic form. Such a quadratic form can, after a change of coordinates, be written as : q(x) = left(x 1^2+cdots + x k^2 ight) left(x… … Wikipedia
Second fundamental form — In differential geometry, the second fundamental form is a quadratic form on the tangent plane of a smooth surface in the three dimensional Euclidean space, usually denoted by II. Together with the first fundamental form, it serves to define… … Wikipedia
Extended Euclidean algorithm — The extended Euclidean algorithm is an extension to the Euclidean algorithm for finding the greatest common divisor (GCD) of integers a and b : it also finds the integers x and y in Bézout s identity: ax + by = gcd(a, b). ,(Typically either x or… … Wikipedia
