Sentence examples for sample and hence from inspiring English sources

The total transfer matrix relates vectors V on both sides of the sample and hence contains full information about the transmission and reflection coefficients.

The presence of spatial autocorrelation affects the information content of the sample and hence the precision of any estimator.

Use of a monoenergetic X-ray beam, as provided by the synchrotron facility, generates accurate 3D maps of the linear attenuation coefficient within the sample and hence gives the ability to map different chemical components.

The TL model achieves 96.5% in the high energy-use sample and hence performs slightly better than the LL model15.

The samples were carefully handled to avoid any external influences that could interfere with the integrity of the sample and hence contaminate it.

Phrased differently, factor analysis discloses the latent factors that influence significantly the variation of the variables in the data, in the sample, and hence in the population and in the universe of respondents (Kim and Mueller 1978).

For simple random samples, sampling error (and hence the width of the "MOE") decreases at rate "root n" (e.g., doubling a poll's sample size produces a 141% reduction in the MOE).

In this scenario the frequency of sampling and hence the comparison of data from these samplings and their associated costs are extremely important issues.

For many popular measures of risk such as coherent risk measures, the resulting risk-averse objective function is often nonsmooth and requires an enormous number of samples, and hence PDE solves, to accurately evaluate.

Even though a broad toolkit of techniques has been developed so far, it is evident that due to the low availability of fresh tissue samples and hence primary cell cultures, choriocarcinoma cell lines still remain a reasonable in vitro model for placental research since they are easy to handle and propagate.

Notably, we show that the ideas from Girsanov׳s transformation based Monte Carlo simulations can be extended to conduct laboratory testing to assess system reliability of engineering structures with reduced number of samples and hence with reduced testing times.