Sentence examples for by deriving the corresponding from inspiring English sources

However, it is often simpler and faster to perform retrievals in 1D delay space by deriving the corresponding delay waveforms.

The performance of this new structure and the famous normalized lattice structure are analyzed by deriving the corresponding expression for the roundoff noise gain.

2) Evaluate the impacts of the SIC order and multi-user diversity on the secrecy performance in terms of secrecy outage probability, effective secrecy throughput, and other secrecy performance metrics by deriving the corresponding closed-form expressions.

It can be shown by deriving the corresponding log-likelihood L with respect to the latent variables X; the solution is equivalent to the one obtained by solving the standard PCA problem (Lawrence, 2005).

This can be done in a deterministic manner, by deriving the input controls corresponding to the recognized maneuver and then generating a single trajectory from a kinematic motion model [[48]].

The impact of averaging multiple UFC samples on the precision of the UFC assessment was evaluated by deriving the intrapatient CV corresponding to the average of two, three and four samples.

The mean quantitative PCR values were normalised against the corresponding array data by deriving the median ratio of both datasets and scaling the values accordingly.

These steps have been tested on an artificial micro-stratified sample (composed of quartz and biotite grains held together by resin) to derive the corresponding spatially resolved beta dose rates.

By the present method we derive the corresponding approximate solutions and absolute errors when (m=5,10,12), which are displayed in Figs. 5, 6 and 7.

By the present method we derive the corresponding approximate solutions and absolute errors between the exact solution and the approximate solutions when (m=5,8,10), which are displayed in Figs. 1, 2 and 3.

The author derived the corresponding Green's function named by fractional Green's function and obtained some properties as follows.