Find link

language:

Find link is a tool written by Edward Betts.

searching for Euclidean vector 29 found (78 total)

Pseudo-Riemannian manifold (1,164 words) [view diff] exact match in snippet view article find links to article

relaxed. Every tangent space of a pseudo-Riemannian manifold is a pseudo-Euclidean vector space. A special case used in general relativity is a four-dimensional

Null vector (554 words) [view diff] exact match in snippet view article find links to article

which has a null vector is called a pseudo-Euclidean space. A pseudo-Euclidean vector space may be decomposed (non-uniquely) into orthogonal subspaces A

Reflection (mathematics) (1,154 words) [view diff] exact match in snippet view article

1969, §7.2), and exhibits Euclidean space as a symmetric space. In a Euclidean vector space, the reflection in the point situated at the origin is the same

Symplectic vector space (2,226 words) [view diff] exact match in snippet view article find links to article

differently from a symmetric form, for example, the scalar product on Euclidean vector spaces. The standard symplectic space is R2n with the symplectic form

Perfect lattice (478 words) [view diff] exact match in snippet view article find links to article

mathematics, a perfect lattice (or perfect form) is a lattice in a Euclidean vector space, that is completely determined by the set S of its minimal vectors

Norm (mathematics) (5,671 words) [view diff] exact match in snippet view article

distance in a Euclidean space is defined by a norm on the associated Euclidean vector space, called the Euclidean norm, the 2-norm, or, sometimes, the magnitude

Normed vector space (2,901 words) [view diff] exact match in snippet view article find links to article

the inner product of a vector and itself. The Euclidean norm of a Euclidean vector space is a special case that allows defining Euclidean distance by

Poincaré half-plane model (3,560 words) [view diff] exact match in snippet view article find links to article

space by replacing the real number x by a vector in an n dimensional Euclidean vector space. The metric of the model on the half-plane, { ⟨ x , y ⟩ ∣ y >

Quasi-sphere (1,144 words) [view diff] exact match in snippet view article find links to article

This article uses the following notation and terminology: A pseudo-Euclidean vector space, denoted Rs,t, is a real vector space with a nondegenerate quadratic

Conformal linear transformation (785 words) [view diff] exact match in snippet view article find links to article

similitude, is a similarity transformation of a Euclidean or pseudo-Euclidean vector space which fixes the origin. It can be written as the composition

Complex number (11,600 words) [view diff] exact match in snippet view article find links to article

algebraically closed field, a commutative algebra over the reals, and a Euclidean vector space of dimension two. A complex number is an expression of the form

Orthogonal group (7,820 words) [view diff] exact match in snippet view article find links to article

originates from the following characterization of its elements. Given a Euclidean vector space E of dimension n, the elements of the orthogonal group O(n) are

Formal calculation (889 words) [view diff] exact match in snippet view article find links to article

positively oriented orthonormal basis of a three-dimensional oriented Euclidean vector space, while a 1 , a 2 , a 3 , b 1 , b 2 , b 3 {\displaystyle a_{1}

Rigid transformation (1,143 words) [view diff] exact match in snippet view article find links to article

of Euclidean spaces, while the sections describe only the case of Euclidean vector spaces or of spaces of coordinate vectors. The "formal definition"

Number line (2,414 words) [view diff] exact match in snippet view article find links to article

It has the usual multiplication as an inner product, making it a Euclidean vector space. The norm defined by this inner product is simply the absolute

Real projective line (1,636 words) [view diff] exact match in snippet view article find links to article

the differential structure. These are solved by considering V as a Euclidean vector space. The circle of the unit vectors is, in the case of R2, the set

Semidefinite embedding (1,572 words) [view diff] exact match in snippet view article find links to article

mapping from the high dimensional input vectors to some low dimensional Euclidean vector space in the following steps: A neighbourhood graph is created. Each

Axis–angle representation (2,027 words) [view diff] exact match in snippet view article find links to article

named after Olinde Rodrigues, is an efficient algorithm for rotating a Euclidean vector, given a rotation axis and an angle of rotation. In other words, Rodrigues'

Complex plane (4,503 words) [view diff] exact match in snippet view article find links to article

view of the complex numbers is implicitly based on its structure of a Euclidean vector space of dimension 2, where the inner product of complex numbers w

Multiplication (music) (2,099 words) [view diff] exact match in snippet view article

retrograde, and retrograde-inverse—operations of matrix multiplication in Euclidean vector space—but also their rhythmic counterparts as well. Thus he could describe

Hedgehog (geometry) (1,482 words) [view diff] exact match in snippet view article

convex bodies: given (K,L) an ordered pair of convex bodies in the Euclidean vector space R n + 1 {\displaystyle \mathbb {R} ^{n+1}} , there exists one

Brauer algebra (2,654 words) [view diff] exact match in snippet view article find links to article

length formula. Let V = R d {\displaystyle V=\mathbb {R} ^{d}} be a Euclidean vector space of dimension d {\displaystyle d} , and O ( V ) = O ( d , R )

Riemann integral (5,356 words) [view diff] exact match in snippet view article find links to article

easy to extend the Riemann integral to functions with values in the Euclidean vector space R n {\displaystyle \mathbb {R} ^{n}} for any n. The integral

Manifold (9,476 words) [view diff] exact match in snippet view article find links to article

which is such that the group operations are defined by smooth maps. A Euclidean vector space with the group operation of vector addition is an example of

Root system (6,237 words) [view diff] exact match in snippet view article find links to article

root system; this one is known as A2. Let E be a finite-dimensional Euclidean vector space, with the standard Euclidean inner product denoted by ( ⋅ , ⋅

Quantum field theory (14,900 words) [view diff] exact match in snippet view article find links to article

infinite) dimension in the category of Banach spaces (though still their Euclidean vector space dimension is uncountable), so in these restricted contexts, the

Topological vector space (13,527 words) [view diff] exact match in snippet view article find links to article

Euclidean topology, and then the infinitely many remaining non-trivial non-Euclidean vector topologies on X {\displaystyle X} are all TVS-isomorphic to one another

List of trigonometric identities (12,166 words) [view diff] exact match in snippet view article find links to article

properties of the trigonometric functions. When the direction of a Euclidean vector is represented by an angle θ , {\displaystyle \theta ,} this is the

Near sets (9,533 words) [view diff] exact match in snippet view article find links to article

where R n {\displaystyle \mathbb {R} ^{n}} is an n-dimensional real Euclidean vector space. Φ ( x ) {\displaystyle \Phi (x)} is a feature vector for x {\displaystyle