Sentence examples for denoting as from inspiring English sources

end{aligned} end{aligned} In [1], it was shown that these operators are closed in the framework of the Askey-Wilson algebra and they satisfy the commutation relations begin{aligned} {X,Y}=Z + alpha, qquad{X,Z}=0, qquad{Y,Z}=Y+beta, end{aligned} (2.13) with ({A,B} = AB +BA) denoting as usual the anti-commutator of A and B. The Casimir operator is Q =Y^{2}+ Z^{2} (2.14) and takes the value Q=1.

Therefore, the possible range of EQ-5D scores was from −0.171 to 1.0, with 1.0 denoting full health (11111 state), and 0.0 denoting as bad as being dead.

It was the great movie composer's final score: a compelling mixture of sinuous jazz and a declamatory orchestral soundtrack, denoting as nothing else could a presentiment of catastrophe.

We get for the derivative (denoting as temporarily and ignoring the weak dependence of on ) (37).

By denoting as the transmission power from the th BS, results in (4).

Finally, denoting as a constant and letting,, (A.4) becomes (A5).

Denoting as the probability that the relay correctly decodes the symbol, we have [15, 16].

Denoting as the input symbol of the th MS in the th cell, the signal received by the th BS is given by ( for and, (17).