Sentence examples for error as follows from inspiring English sources

We define the truncation error as follows: (225).

We define the computed parameter-uniform maximum error as follows: (5.3).

This difference is measured by the mean squared error as follows: (16).

The true mobile user position can then be considered as a sum of a current estimate and an estimate error as follows in Equation 20.

The Dahlberg formula was used to calculate method error, as follows: Fig. 3 Definitions of the three vertical levels in the midsagittal plane.

If B p contains a numerical error, we further decompose it into (boldsymbol {B}_{p^{prime }}), which satisfies the solenoidal condition, and B error, the error, as follows: boldsymbol{B}_{p} = boldsymbol{B}_{p'} + boldsymbol{B}_{text{error}}, (33).

∆A z can be identified through calculations based on mechanized azimuth (( {A}_z^{mec} )), GPS aiding azimuth (( {A}_z^{GPS} )) and the KF predicted azimuth which represents the linear azimuth error as follow: Delta {A}_z={A}_z^{mec}-{A}_z^{GPS}-delta {A}_z^{KF} (20).

In 1995, Liu [37] introduced the iteration process with errors as follows.

In [3], Liu introduced the concepts of Ishikawa and Mann iterative processes with errors as follows.

If for all, then (1.7) reduces to Mann iterative process with errors as follows: (1.8).

Nammanee et al. [12] extended this process to the one with errors as follows.