Sentence examples for error computed by from inspiring English sources
To deal with the stability of the 2-D NSHP recursive DC filter during the design process, we can either impose some necessary constraints on the phases of the 2-D NSHP recursive DAFs or utilize a penalty function involving a stability error computed by using a spectral factorization-based algorithm to ensure the stability of a designed 2-D NSHP recursive DC filter pair.
Note that the estimation error computed by (71) is minimal if one sets N=N opt.
Lemma 2. Let LE ( r ̂ i j ) be the localization error computed by using r ̂ i j.
Then, Δ LE ( r ̂ i j ) ≡ LE ( r ̂ i j ) − LE ( r LE ̂ i j ) is given by ∑ j = 1 L i | r LE ̂ i j − r ̂ i j | 2. Similarly, let DE ( r ̂ i j ) be the average distance error computed by using r ̂ i j.
Next, we prove that the LE and the average distance error computed by using r ̂ i j are proportional to the squared distances from the optimal values, i.e., | r LE ̂ i j − r ̂ i j | 2 and | r R ̂ i j − r ̂ i j | 2, respectively.
aDistance values are presented as mean ± standard error computed by bootstrapping of 1,000 replicates.
Figure 3 d) presents the final group-delay errors, and the errors computed by (29) are also listed in Table 1.
For the comparison, the errors computed by the following formula E M N = max − N ≤ k ≤ N 1 ≤ n ≤ M − 1 | u ( t k, x n ) − u n k |. are recorded for different values of N and M, where u ( t k, x n ) represents the exact solution and u n k represents the numerical solution at ( t k, x n ).
In order to reflect adequately association with outcome, confidence intervals for AOR estimates were calculated on the basis of a log transformation with the standard errors computed by the delta method that took into account both clustering of individual observations within households and non-independence of the variables at household and region levels [25].
In order to reflect association with outcome adequately, confidence intervals for OR estimates were calculated on the basis of a log transformation with the standard errors computed by the delta method that incorporated all sources of variation resulting from the sampling cluster design of the study [32].
