Sentence examples for using the gaussian error from inspiring English sources

Its uncertainty is calculated using the Gaussian error propagation law σ p = σ λ / 〈 v 〉 2 + 〈 λ 〉 · σ v / 〈 v 〉 2 2 = 1 h.

Using the Gaussian error assumption, it can be shown that H k given H k ′ is complex Gaussian with mean and variance given by[10], μ 1 = ρ 0 ρ 0 + σ ε 2 / N H k ′, σ 1 2 = ρ 0 ( σ ε 2 / N ) ρ 0 + σ ε 2 / N. (39).

The midpoint rule error decays as 1 / N 2. For 10 < N, the error using the Gaussian quadrature is dominated by the precision with which the Hopf bifurcation can be located, hence the plateau.

Several interesting points in contrast with the results in Figure 4 are evident: The error in the composite midpoint rule appears to decay as N − 1, while the error using the Gaussian quadrature appears to decay as N − 2. The reason for these differences is not clear.

Using the Gaussian model described in Sect.

All calculations were performed using the Gaussian 03 program [ 32].

Blur the background by using the Gaussian Blur filter (Filters -> Blur -> Gaussian Blur).

The expression levels of the prototype genes on the log2 scale were used as explanatory variables in multiple regression with the Gaussian error model, using the following equation (gene symbols stand for their log expression, and coefficients are omitted for clarity): Y i = ESR 1 + ERBB 2 + AURKA, where the response variable Y i is the expression of gene i.

Due to the mathematically intractable expression of the Rician distribution, we use the Gaussian approximation to derive the error probability of coded FHSS over Rician fading channel.

where g erg is the Gaussian error function.

Gaussian blur uses the Gaussian distribution function.