Sentence examples for approximation although the from inspiring English sources

The time dependence of infrared absorbance was analyzed for the crystallization-sensitive bands on the basis of Avrami equation as the first approximation, although the crystallization mechanism was more complicated than the isothermal crystallization case.

This assumption is often made in Maximum Likelihood and Bayesian QTL mapping methods for mixture models because it is a good approximation, although the number of QTL alleles is unknown and difficult to infer in outbred populations [ 49].

Without prior knowledge on these fractions, we suggest to use equal fractions as an approximation, although this may not be true in reality [ 18, 22].

This approximation, although not capturing the molecular interactions in atomistic detail, can represent many salient aspects that have been ignored in previous work on speciation theory.

The frequency dependence of the ac conductivity is explained by the extended pair approximation model, although the exponent is slightly higher than generally seen.

It is pointed out that the mass transfer coefficients for two complicated geometries (well source in a plane; disc source over a plane) are well approximated by their standard lumped circuit approximations, although in the disc case this seems not to have been recognized.

This cylindrical approximation, although useful to analyze the nanopore general properties, can only be used as a reference.

This approach yielded the same trend as the single-exponential decay approximation although it provided slightly different values for the average lifetime.

Herein, it is shown that the aluminum equivalent shield approximation, although reasonably well suited for that time period and to the application for which it was developed, is of questionable usefulness to the radiobiological concerns of routine space operations of the 21st century which will include long stays onboard the International Space Station (ISS) and perhaps the moon.

Day one: Day trip to Old Hebron According to the adolescent Palestinian boy who spent several minutes pedaling his wobbly bike alongside us as we walked, this cobblestoned, arched casbah contains 30,000 Palestinians, 500 Jewish settlers and 2,000 Israeli soldiers (I was able to confirm these approximations online, although the estimated number of settlers ranges from 400 to 800).

We thus use the protein encoding mRNA expression as an approximation, although it is well known that mRNA and corresponding protein level do not always correlate [18].