# Vectors

### Some articles on vectors, vector:

Multiplication Of Vectors
... In mathematics, Vector multiplication refers to one of several techniques for the multiplication of two (or more) vectors with themselves ... product — also known as the "scalar product", an operation which takes two vectors and returns a scalar quantity ... Cross product — also known as the "vector product", a binary operation on two vectors that results in another vector ...
Classical Hamiltonian Quaternions - Other Operators in Detail - Axis and Angle
... quaternion is viewed as the quotient of two vectors, then the axis of the quaternion is a unit vector perpendicular to the plane of the two vectors in this original quotient, in a direction ... The angle is the angle between the two vectors ...
Self-similarity Matrix - Definition
... self-similarity matrix, one first transforms a data series into a an ordered sequences of feature vectors, where each vector describes the relevant features of a data series in a given local interval ... matrix is formed by computing the similarity of pairs of feature vectors where is a function measuring the similarity of the two vectors, for instance, the inner product ... Then similar segments of feature vectors will show up as path of high similarity along diagonals of the matrix ...
Space Vector Modulation - Principle
... This leads to eight possible switching vectors for the inverter, V0 through V7 with six active switching vectors and two zero vectors ... Vector A+ B+ C+ A− B− C− VAB VBC VCA V0 = {000} OFF OFF OFF ON ON ON 0 ... zero vector V1 = {100} ON OFF OFF OFF ON ON +Vdc 0 −Vdc active vector V2 = {110} ON ON OFF OFF OFF ON 0 +Vdc −Vdc active vector ... The reference vector is then synthesized using a combination of the two adjacent active switching vectors and one or both of the zero vectors ...
SIC-POVM - Relation To Spherical T-designs
... A spherical t-design is a set of vectors on the d-dimensional generalized hypersphere, such that the average value of any -order polynomial over is equal to the ... tensor product frame operator, it can be shown that a set of normalized vectors with forms a spherical t-design if and only if It then immediately follows that every SIC-POVM is a 2-design ...