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Regular representation. In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself by translation . One distinguishes the left regular representation λ given by left translation and the right regular representation ρ ...
The left translate of a right Haar measure is a right Haar measure. More precisely, if ν {\displaystyle u } is a right Haar measure, then for any fixed choice of a group element g , S ↦ ν ( g − 1 S ) {\displaystyle S\mapsto u (g^{-1}S)\quad }
Rotation matrix. In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix. rotates points in the xy plane counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system.
t. e. The left–right political spectrum is a system of classifying political positions, ideologies and parties, with emphasis placed upon issues of social equality and social hierarchy. In addition to positions on the left and on the right, there are centrist and moderate positions, which are not strongly aligned with either end of the spectrum.
Ambidexterity. Ambidexterity is the ability to use both the right and left hand equally well. [ 1][ 2] When referring to objects, the term indicates that the object is equally suitable for right-handed and left-handed people. When referring to humans, it indicates that a person has no marked preference for the use of the right or left hand .
Chirality (physics) A chiral phenomenon is one that is not identical to its mirror image (see the article on mathematical chirality ). The spin of a particle may be used to define a handedness, or helicity, for that particle, which, in the case of a massless particle, is the same as chirality. A symmetry transformation between the two is called ...
In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real -valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined. For a unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the tail is on the ...
Transformation matrix. In linear algebra, linear transformations can be represented by matrices. If is a linear transformation mapping to and is a column vector with entries, then for some matrix , called the transformation matrix of . [citation needed] Note that has rows and columns, whereas the transformation is from to .