Sentence examples for Root of the given from inspiring English sources

Thus, in the first problem discussed above, if S is one of the unknown solutions, then 16 − S2 is a square; supposing the other unknown to be 2S − 4 (where the 2 is arbitrary but the 4 chosen because it is the square root of the given number 16), Diophantus found from summing the two unknowns ([2S − 4]2 and S2) that 4S2 − 16S + 16 + S2 = 16, or 5S2 = 16S; that is, S = 16/5.

For convenience, to demonstrate our main results and avoid complicated computations, we only present a third iterative root of the given usc multifunctions.

Threshold used is square root of the given thresh hold for the whole graph, to explain the square root of threshold the PPR value estimated in this part will be multiplied by the PPR value returned from Algorithm 5.

The GDOP is defined as the square root of the CRLB, given the assumption that all pseudoranges are affected by the same error variance σ e b 2 = 1, 1 ≤ b ≤ B (i.e. C e = ℐ ): GDOP p = CRLB p C e = ℐ = 1 2 tr J T ( p ) J ( p ) − 1. (57).

To examine this in more detail we created a core genome phylogeny for E. coli ST131 using all the ST131 genome sequences in Table  1 and previously published methodology [ 13, 18] using SE15 as the root of the phylogeny given its phylogenetic position relative to H30Rx [ 5].

To compute with certainty all the roots, the proposed method is heavily based on the knowledge of the total number of roots within the given interval.

Annotation (2) shows a tendency of double adaptive thresholding (DAT) to omit dense clusters of roots; in the given example this omission occurs in the upper root crown.

Incomplete taxon sampling can give the appearance of nodes near the root of the tree giving rise to more extant descendants than nodes near the tips and are therefore more likely to be included in a small random sample (a bias toward more nodes closer to the root of the tree) [ 71, 72].

James's pure experience, Mach's elements, the sensations and images of the earlier Russell, and the events and percepts of the later Russell are all rooted in the given of the empiricist tradition.

In Drosophila, a major duplication event occurred at the root of the genus, giving rise to the QSOX1 paralog present in all Drosophila and to a second branch of QSOX paralogs that underwent several further duplication events with no clear consistency between the species.

The square root of the resultant gives the denoised magnitude MR image.