Q-vectors are used in atmospheric dynamics to understand physical processes such as vertical motion and frontogenesis. Q-vectors are not physical quantities...

qualify Euclidean vectors as an example of the more generalized concept of vectors defined simply as elements of a vector space. Vectors play an important...

Vector space model or term vector model is an algebraic model for representing text documents (or more generally, items) as vectors such that the distance...

the same way. Contravariant vectors are often just called vectors and covariant vectors are called covectors or dual vectors. The terms covariant and contravariant...

without null vectors. A pseudo-Euclidean vector space may be decomposed (non-uniquely) into orthogonal subspaces A and B, X = A + B, where q is positive-definite...

plane and p , q {\displaystyle \mathbf {p} ,\mathbf {q} } are non-parallel vectors pointing along the plane, a normal to the plane is a vector normal to both...

of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued function could be a scalar or a vector (that is, the dimension...

[ Q x x − Q y y − Q z z Q y x + Q x y Q z x + Q x z Q z y − Q y z Q y x + Q x y Q y y − Q x x − Q z z Q z y + Q y z Q x z − Q z x Q z x + Q x z Q z y...

convention of writing both column vectors and row vectors as rows, but separating row vector elements with commas and column vector elements with semicolons (see...

product of a vector with itself. A seminorm satisfies the first two properties of a norm but may be zero for vectors other than the origin. A vector space with...

( q 1 , q 2 , q 3 ) , y = f 2 ( q 1 , q 2 , q 3 ) , z = f 3 ( q 1 , q 2 , q 3 ) {\displaystyle x=f^{1}(q^{1},q^{2},q^{3}),\,y=f^{2}(q^{1},q^{2},q^{3})...

unit vectors (that is, vectors of norm 1 {\displaystyle 1} ) in V . {\displaystyle V.} This turns V ′ {\displaystyle V^{\prime }} into a normed vector space...

algebra Λ(V) of a vector space V. This algebra is graded, associative and alternating, and consists of linear combinations of simple k-vectors (also known as...

matches all tokens of the K matrix with all tokens of the Q matrix; therefore the roles of these vectors are symmetric. Possibly because the simplistic database...

tensors, including scalars and vectors (which are the simplest tensors), dual vectors, multilinear maps between vector spaces, and even some operations...

following section. By convention, we write all vectors as row vectors. This, for example, means that pushing a vector through a linear layer means multiplying...

to the vectors in real and reciprocal space. Mathematically, direct and reciprocal lattice vectors represent covariant and contravariant vectors, respectively...

product of vectors v and w given by v w + w v = 2 ( v ⋅ w ) . {\displaystyle vw+wv=2(v\cdot w).} Denote a set of orthogonal unit vectors of R3 as {e1...

spatial inverse. For two vector quaternions p = b1i + c1j + d1k and q = b2i + c2j + d2k their dot product, by analogy to vectors in R 3 , {\displaystyle...

Vector notation In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more...

this incidence Vector has replied with the track "Distractions (Reminisce Diss)", which he featured on with renowned lyricist A-Q. Vector hit him with the...

of a parallelogram with the vectors for sides; in particular, the magnitude of the product of two perpendicular vectors is the product of their lengths...

rotates, stretches, or shears the vectors upon which it acts. A linear transformation's eigenvectors are those vectors that are only stretched or shrunk...

of a vector space, and every vector in the space may be written as a linear combination form of unit vectors. Unit vectors may be used to represent the...

such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in...

mathematics, a Q-matrix is a square matrix whose associated linear complementarity problem LCP(M,q) has a solution for every vector q. M is a Q-matrix if there...

and celestial dynamics, the orbital state vectors (sometimes state vectors) of an orbit are Cartesian vectors of position ( r {\displaystyle \mathbf {r}...

In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied...

made that vectors should be treated as column vectors when combined with matrices (rather than row vectors). A single convention can be somewhat standard...

used algorithm appropriate for the vector Y case. It estimates T as an orthonormal matrix. (Caution: the t vectors in the code below may not be normalized...