Sentence examples for applying the approximation from inspiring English sources

The problem of the vibration of a non-prismatic beam resting on a two-parameter elastic foundation has been solved by applying the approximation by Chebyshev series.

By applying the approximation (13), outage probability is complementary to the detection probability p D. This also implies that multi-path propagation of the radar signal does not affect the outage probability and is thus not considered here.

Applying the approximation s i,j  ≫ 1 / γ j, which is generally valid numerically (e.g., typically we have s i,j  > 20 / γ j [7]), simplifies the denominator of Equation 29 into s i, j - q i.j 2 / g i, j s i, j.

The above three measures were calculated prior to full linkage, with the latter two derived by applying the approximation methods outlined in Karmel and Gibson [ 24].

Hence, using the data provided in this work, one is able to estimate the significance of protein-data-base queries for the most commonly used parameter sets with much higher precission than when applying the approximation of the Gumbel distribution.

In a recent study, the authors applied the approximation method to a two-degrees-of-freedom mechanism for the first time, however the selection and iteration of the design points at which the errors were minimized were not satisfactory.

We now apply the approximation properties (2.4 - 2.6 2.4 - 2.6erms on toe RHS of (4.46).

Our derivation applies the approximation that s i,j  ≫ 1 / γ j, which has been found to be valid numerically [7].

Concerning the original problem (6) for good users, we let C l denote the number of good users in the l-th cell and then apply the approximation log (1+x)≈ logx for these users with large x.

However, for the ratio (bar gamma _{i} gg gamma _{0}), in accordance with Table 1, only the first term in (8) is sufficient, and we can apply the approximation for successful internode channel decoding (18).

The method we use to eliminate the cross terms is as follows: firstly we apply the approximation of the Geweke transformation: (22) where γ2 is the covariance matrix between X and Y, S is the variance of either error E x or E y.