Sentence examples for as initial data from inspiring English sources

We study also the corresponding Cauchy problems with a given generalized Borel measure as initial data.

150,000 tweets were randomly selected as initial data for examining in our experiments.

Any available combination of molecular spectra may be used as initial data.

The results of DFT calculations are used as initial data for this model.

The frequency response functions (FRFs) of the healthy and the damaged structure are used as initial data.

Then the corresponding solution to (1.2) with u 0 ( x ) as initial data blows up in finite time.

They showed that the model (1.4) admits a maximum principle and obtained a necessary and sufficient condition that the solution of the regularized QG equations (1.4) develops a singularity in finite time and proves that, if the initial condition is smooth, then the regularized solution remains as smooth as the initial data for all times.

Figure 6 shows that the PMPL method has restored the image, but when p becomes large, the images are damaged due to the problem of stability which depends on the value of the parameters p and λ as well as the initial data.

ACG participated in the design of the study, drafted the manuscript, coordinated and carried out real-time kinetic PCR and Affymetrix experiments as well as performed initial data processing and data analysis.

Total variance method transforms time-offset data to frequency-offset data and extends the data to be a virtual sequence nearly as three times long as the initial data by mapping.

An EPA spokesman characterized the study, known as a preliminary assessment, as an initial data collection effort to determine whether the site threatens human health or the environment.