Sentence examples for computation as in from inspiring English sources

We repeat the same computation as in Figure 5.

A similar computation as in the proof of Theorem 3.1 yields (3.11).

which is proved by the similar computation as in [21 24], in the resultant equality, and take ε and δ suitably small.

Any solution of (6.8) which is such that fulfills As an illustration, by direct computation (as in Example 4.5), we find (6.15).

It is worthy of note that the constraint det(R) = + 1 is not imposed, since it can be separately treated at some extra computation as in the Stability of the basic algorithm and its modification section.

By the same method of computation as in (3.1), Y1 t) and Y2 t) can be shown to be two continuous pathes in C w ( A ) from uC φ and uC-φto uC μ.

To align the networks, the algorithms run with standard settings, see Additional file 1: Figures S1 and S2. Figure 7 summarizes the computational complexity of the computations: As in the case of the simulated networks (scenarios (i) and (ii)), Græmlin's computational costs scale roughly quadratically (O (N 1. 8 ± 0. 2 ) ), while GraphAlignment 's costs grow rather cubically as O (N 3. 0 ± 0. 2 ) ).

Then, we observe that assuming (25) allows to satisfy condition (174), uniformly in x (with an argument for instance based on computations as in (115)) and this implies that (172) holds again locally uniformly in x via Theorem 19.

Then, the same computations as in the Euclidean case allow to prove an (H^1) bound on the curves (x^tau ) (i.e. an (L^2) bound on the metric derivatives (|(x^tau )'|)) and prove equicontinuity.

It then follows that p ∈ T p. Setting x ∗ = p and following the same computations as in the proof of Theorem 3.1, we have from inequality (3.2) that lim ∥ x n − p ∥ exists.

We note that although we propose that people interpret color-coding systems by solving decoding assignment problems, we do not claim that there is some part of the brain that performs the same computations as in Matlab's linprog function using the merit scores defined with Eq. 2.