Sentence examples for considerations we obtain from inspiring English sources

If x > y, then, by analogous considerations, we obtain a similar conclusion.

As a by-product of our considerations, we obtain the following result.

Within these considerations, we obtain an adaptive detector based on the generalized likelihood ratio test.

As a by-product of our considerations, we obtain an explicit description of the group of unitary automorphisms of all bounded Hankel operators.

Taking hidden terminal into consideration, we obtain (7).

Thus, taking Lemma 3.1 into consideration, we obtain (ABsubset B).

Taking the relations (3.10 - 3.12) into consideration, we obtain the following theorem.

From the above consideration, we obtain the following sufficient condition for 2-regularity: the matrix 10 g ″ ( 0 ) M ( z ) has no eigenvalues ε ¯ and 2 ε ¯.

By analyzing carefully Green's functions for the infinitesimal generator of the semigroup associated with the system under consideration, we obtain a useful resolvent estimate on this generator which can be applied to derive the decaying property.

Since the operators X, R, L = R − 1 are defined on compact domains of the L 2 under consideration, we obtain ( Q n m ) ∗ = ( X m R n + q − n R − n X m ) ∗ = ( R n ) ∗ ( X m ) ∗ + q − n ( X m ) ∗ ( R − n ) ∗ (39).

For the gene families under consideration we obtain Ks < 2, hence we expect minor saturation effects (cf. [ 8]).