Sentence examples for equivalent to simply from inspiring English sources
Note that as discussed in Theorem 5, the score function for the classical model is equivalent to simply checking whether some subset of c items matches the test results, i.e., whether these would indeed have been the test results, had this subset been the set of defectives.
We theoretically showed that this method is equivalent to simply removing the population mean of the allele counts.
For applications in genetic association tests, we demonstrate that, as a method of correcting for population stratification, regressing out the theoretical PCs corresponding to the axes of variation is equivalent to simply removing the population mean of allele counts and works as well as or better than the Eigenstrat method.
This is equivalent to simply using the original quartet puzzling algorithm with an extra taxon (the outgroup) to denote the root on both the quartets used and the reconstructed tree, and we only use the (n 3 ) quartets that contain this root label taxon.
However, as the prevalence increases, the performance of the combinatorial designs quickly deteriorates, and for prevalence higher than 3% the signal is too dense to reconstruct, and the performance of the designs is roughly equivalent to simply assigning the wild-type allele to the entire group.
It turns out that for any Hopf algebra such that (V) is of finite dimension these formal power series all converge in a neighbourhood (U) of the origin in (Vtimes V) and thus give an analytic map begin{aligned} Vtimes Vsupseteq Urightarrow V. end{aligned}This map is, in fact, a finite-dimensional local Lie group and these are always locally equivalent to simply-connected Lie groups.
Moreover, the natural frequencies of the TSDTB model are much less than of those of one-segment double Timoshenko beam (OSDTB) model with clamped supported boundary condition, whereas the TSDTB model can be equivalent to the simply supported OSDTB model under certain condition.
For example, to say that 'snow is white' is true, or that it is true that snow is white, is equivalent to saying simply that snow is white, and this, according to the deflationary theory, is all that can be said significantly about the truth of 'snow is white'.
"European individuals are going to be realizing more and more that the local retirement programs, the local equivalent to Social Security, simply aren't going to be able to provide for them," he said.
