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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.
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 .
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.
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 ...
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 .
Operator associativity. In programming language theory, the associativity of an operator is a property that determines how operators of the same precedence are grouped in the absence of parentheses. If an operand is both preceded and followed by operators (for example, ^ 3 ^ ), and those operators have equal precedence, then the operand may be ...