The following lemma follows by direct calculations using Dirichlet formula, [36].
For the remaining 2 ≤ n ≤ 6, one can verify (10) by a direct calculation using the values reported in [22].
This result corresponds to [1], Theorem 1] by a direct calculation using identity (7) and reduces to [5], Lemma 2] in the special case T = R. (v) As mentioned in the introduction, Theorem 3 is new even in the discrete time case, i.e., for T = Z.
A direct calculation using (2) is sometimes difficult to be done, especially for complex models.
Stereology-based calculation of microstructural parameters (other than BV/TV, Eu.N and DA) results in values that are different from those obtained by direct calculation [ 15, 30] but microstructural parameters calculated using one method are highly correlated to those calculated using the other method [ 15].
The small scale turbulence was modelled by direct calculation of the turbulent stress tensor using filtered particle image velocimetry data.
In more detail, the estimates K ^ 1 and K ^ 2 are computed by direct calculation (if the graph is decomposable) or, in general, by using the IPS algorithm, see [ 15].
By direct calculation (3.4).
For, by direct calculation, we can get.
By direct calculation, we obtain that.
