Sentence examples for by the linear approximation from inspiring English sources

The delta method extends the propagation of error analysis by noting that, by the central limit theorem, the random quantity given by the linear approximation can be approximated by a normal distribution.

Scaling factors are incorporated to compensate for errors introduced by the linear approximation.

Then we can see (overline{x}_{j}approx x_{j}+sxi_{j} t,x)) by the linear approximation to transformation.

Increasing the number of carriers enlarges the symbol length and, consequently, the error made by the linear approximation.

The linear long-term trend was estimated by the linear approximation method for the data around the time when each water injection experiment was done.

Negative values of count rates at T=0 °C are returned by the linear approximation chosen, which is not valid over a broad range of temperatures.

The mechanical thermal noise (MTN) equivalent rotation rate (Ωn) is computed by using the linear approximation of the system response and the nonlinear "slow" system.

The distribution of quantile residuals of model 8.5 was caused only marginally by the linear approximations adopted (Eq. 8.51).

The simplification resulted in an AIC of 4150.15, which means that the model was improved further by the linear approximations.

Substituting the strain measured by the prototype sensor into the linear approximation formula in Fig. 5, we calculated the applied force.

Substituting the strain measured by the prototype sensor into the linear approximation formula in Fig. 5, we calculated the applied force and compared it with that obtained by the load cell when a random force was applied.