Sentence examples for each unitary from inspiring English sources

Each unitary matrix appearing in the factorization can be interpreted as a generalized beamsplitter.

Whereas each unitary precoding matrix is independently and randomly generated in [21], TN-SDMA employs the precoding matrices designed systematically.

The all Wales target of responding to the most urgent calls is 65% but the target set is lower (60%) for response times in each unitary authority area.

In particular, we show that the multiplicity of each unitary irreducible representation in L2 X) is asymptotically proportional to its dimension.

By expressing each unitary matrix as, the preferred beam q k selected by the user k, as a function of CSI's shape s k, is given by (2).

(mathbb{C} x) is a Čebyšëv subspace of M; x is Brown-Pedersen quasi-invertible in M (see page 6 for the precise definition of this notion); For each pure state (i.e., for each extreme point of the positive part of the closed unit ball of (M^)) (varphiin M^), and for each unitary (uin M), we have (varphi(x^ x) +varphi u x x^ u ) >0).

Of course each seemingly unitary plane is made up of many glass panes or stone slabs.

To each continuous unitary representation of a Lie group G on a Hilbert space H we associate a moment map from the projective space of smooth vectors to the dual g* of the Lie algebra of G.

(2) For each (ntimes n) unitary matrix U, and each (X,Yin mathbf{P}_n), begin{aligned} F(UXU^*,UYU^*) = UF X,Y U^*.

For each (ntimes n) unitary matrix U, and each (X,Yin mathbf{P}_n), begin{aligned} F(UXU^*,UYU^*) = UF X,Y U^*.

Due to the commercial nature of the micro-chip data, we present percentages of dogs of each breed registered and percentage of dogs from each county or unitary authority area, rather than exact figures.