Sentence examples for numbers arising from inspiring English sources
In addition, we give some new explicit identities for the general modified degenerate Euler numbers arising from our differential equations.
In addition, we give some new and explicit formulas and identities for those numbers arising from our differential equations.
This paper defines the modified q-Bernoulli polynomials and numbers arising from the p-adic invariant integral on (mathbb{Z}_{p}) and introduces additional characteristic properties of these polynomials and numbers, which are defined from the generating functions and p-adic invariant integral on (mathbb{Z}_{p}).
From the above, we estimate the numbers of cancers detected at screening and the numbers arising in the intervals between screens for different screening frequencies.
This will be obtained directly from the screen-detected cohort and compared with the numbers arising in the 'no-screen' control group.
To reflect the plausible low molecular copy numbers arising in the intrinsic apoptosis pathway within single cells, we perform simulations under different combinations of number of molecules that fall into the experimentally observed ranges [ 66].
The different numbers arise because health officials in Kentucky and many other states fail to investigate many complaints of food-related sickness while those in Minnesota do so diligently, safeguarding not only Minnesotans but much of the rest of the country, as well.
When numbers arise in politics or in life, always remember the acronym--WITD (What's In The Denominator?).
Discrepancies in Scientology membership numbers arise because the Church of Scientology applies more inclusive criteria in establishing its figures, essentially including anyone who has purchased a book or participated in courses, regardless of their subsequent involvement.
These numbers arise from simple geometric considerations but also agree with much more sophisticated simulations based on a free rotational diffusion model (Hinczewski et al., 2013 ).
These numbers arise from simple geometric considerations but also agree with much more sophisticated simulations based on a free rotational diffusion model (Hinczewski et al., 2013, PNAS).
