Sentence examples for substituting the error from inspiring English sources

After substituting the error defined by (2) in the above equation and taking the expectation of its both sides, this results in: (13).

By substituting the error probabilities for the PAM-system, we can obtain the corresponding QAM-system BERs as a function of : (9). Figure 3 uses the expressions derived above to calculate the BER rates for the LP and HP streams using a fixed 16-QAM constellation with, and typical convolutional codes used on both streams.

At best, they substitute the errors of fumbling central planner for the errors of fumbling individuals.Mr Kling seems to be suggesting that current unemployment is almost entirely structural; otherwise there would be clearly be room for expansionary policy to soften and hasten the end of the recession.

Substituting the filter error weight vector into the filter update expression of (27) yields a recursive expression for the receive filter error weight vector described by begin{aligned} boldsymbol{varepsilon}[!i]=&boldsymbol{varepsilon}[!i-1] &+left[mathbf{I}+mumathbf{r}[!i]b[!i-1]mathbf{r}^{H}[!i-1]b^{ast}[!i] -mumathbf{r}[!i]b[!i-1]right.&left.quad; mathbf{r}^{H}[!n]b^{ast}[!i-1]right.

This is done by substituting the unmixing error fitness function in Equation (7) by a fitness function based on the maximum correlation between the endmembers f CORR ( E ) = max c i j, e i, e j ∈ E, (10).

3171—which is not relevant to our consideration of this case—corrected the error by substituting the word "descend" for "descedent" in § 207.

Substituting the expression for a posteriori error from (26) in (30) and taking expectation on both sides to obtain the following relation: E [ ‖ v n + 1 ‖ A 2 ] = E [ ‖ v n ‖ A 2 ] − 2 μ E [ e a n A f ( e n ) ] + μ 2 E [ ‖ x n ‖ A 2 f 2 ( e n ) ]. (31).

The number of samples can be determined by substituting the survey data of NLOS errors into the derived CRLB and using the method in the above section.

The transformation error of shear strength correlation can be determined using RUP-SMP methods by substituting the values of inherent variability and measurement error in Eq. (13).

Substituting the semiunitary condition (18) back into (15), the error under optimal training is (19).

An error is therefore introduced by substituting the 50th centile for the mean.