Sentence examples for case of unitary from inspiring English sources

A similar formula in the case of unitary operators was obtained by Neidhardt (Math. Nachr. 138 (1988) 7).

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

The case of unitary vectors provides more refinements as follows.

It means that, in case of unitary matrices (4 times 4), we have to perform 24 experiments, always with different block Op.Test.Set.

In case of unitary tensor ESPRIT combined with the TeTraKron extension of PAST where forward-backward-averaging is included, its performance is slightly better than that of the combination of standard tensor ESPRIT and the TeTraKron extension of PAST.

Such a "weaker case" does not exist in the case of unitaries, and it turns out to be much more interesting than the twisted "tensor product case" T⊗ϑT.

In the cases of unitary systems and the earlier start of legal entitlement, we found marginally significant interaction terms with average income, suggesting that these two system features benefit families with average income most.

Consider first the case of the unitary symplectic group (K = mathrm {USp}_N) (where (N in 2mathbb {N})).

In the case of a unitary country, the government is assumed to be located in the center where the median voter also is.

In particular, in the case of functions of unitary operators we can consider the problem of differentiability of the function (tmapsto fbig (e^{mathrm{i}tA}U)), (tin {mathbb R}), where f is a function on the unit circle ({mathbb T}), U is a unitary operator and A is a bounded self-adjoint operator.

Besides, it is straightforward to extend the theorem to cover the case of infinite-dimensional unitary operators.