Sentence examples for derived and approximately from inspiring English sources

System of the partial differential equations of the transversal oscillations of the sandwich double circular plate system with visco-non-linear elastic layer, excited by external, distributed, along plate surfaces, excitation are derived and approximately solved for various initial conditions and external excitation properties.

A setup geometry was derived and verified to give approximately 0.1-mm maximum positioning errors.

The appropriate partial differential equations to describe this system in the continuum limit are derived and solved exactly or approximately in limiting cases, and these solutions are supplemented by the use of numerical simulation on the full model.

These strains exhibit the derived and ancestral ray patterns at approximately equal frequencies [ 39].

The mean and variance of the RS score distribution can be analytically derived, and the induced distribution is approximately Gaussian.

We apply the log normal shadow fading model to represent a realistic physical layer to derive (accurately and approximately) the probability p(x) for receiving a packet successfully as a function of distance x between two nodes.

These data are derived from approximately 14 million employees and dependents across various employer-sponsored health plans and self-insured programs per year.

These predictions were derived from approximately 470 million short reads and often contained exon-pairs separated by few base-pairs.

The content of MPC's clinical records comprises practice management data, results from detailed patient questionnaires, and detailed progress notes, all derived from approximately 95,000 patient visits per year.

The Exome Sequencing Project frequency was derived from approximately 13,000 haploid exomes from European-Americans and African-Americans in a 2 1 ratio.

Based on databank similarities and the prediction of facile translational start and stop codons, full-size protein models were derived for approximately 30% of the manually curated transcripts.