Sentence examples for special unitary from inspiring English sources

The name of the mathematical symmetry is SU 3), which stands for "special unitary group in three dimensions".

The fundamental group symmetry of this system breaks down to the action of the special unitary group.

Finally note that all unitary conjugations of type Ad U are elements of the projective special unitary group PSU ( N ) = U ( N ) / U ( 1 ) ≃ SU ( N ) / Z ( N ), where the centers of U ( N ) and SU ( N ) are respectively given by U ( 1 ) and Z ( N ) : = { e i r 1 N ∣ r ∈ R  with  r N mod 2 π = 0 }.

An explicit formula for the radial part of matrix coefficients of the discrete series of Gel'fand Kirillov dimension 5 of the special unitary group SU 2, 2) of index (2+, 2−), is obtained in terms of Gaussian hypergeometric functions plus some formulae of binomial coefficients.

The direct isometries (preserving the orientation) in D are the elements of the special unitary group, noted SU ( 1, 1 ), of 2 × 2 Hermitian matrices with determinant equal to 1. Given: γ = such that | α | 2 − | β | 2 = 1, an element of SU ( 1, 1 ), the corresponding isometry γ in D is defined by: γ ⋅ z = α z + β β ¯ z + α ¯, z ∈ D. (32).

For the three lightest quarks, there is a group-theoretical representation involving the special unitary group SU 3); for their calculations, physicists use a convenient matrix representation known as the Gell-Mann matrices, which are also used for the SU 3) gauge group that forms the basis of the modern description of strong nuclear interactions, quantum chromodynamics.

For the important special case of unitary analysis polyphase matrices we obtain an explicit expression for the minimum achievable disturbance attenuation.

We consider a special class of unitary matrices, the Householder matrices, which can be represented as P = I − 2pp H with p H p = 1.

Complex symmetric, skew-symmetric, and unitary matrices are special subclasses of conjugate-normal matrices.

The general case is firstly discussed, followed by the special case in which the unitary signals within the constellation set are mutually orthogonal.

We show that through the Plancherel decomposition of the space of complex-valued maps on the Euclidean plane, each infinite-dimensional irreducible unitary representation of the special Euclidean group yields a unique V1-like map, and we use representation theory as a symmetry-based toolbox to build orientation maps adapted to the most famous non-Euclidean geometries, viz.