Sentence examples for based on this identity from inspiring English sources

They also developed Sturmian theory for both forced and unforced half-linear equations based on this identity [4, 5].

Based on this identity, they established some interesting Riemann-Liouville fractional integrals for m-convex and ((s,m -convex mappings,m -convexely.

(13) Based on this identity and by using Remark 1, we can see that the term (-mathcal{I}m ( partial_{n} w 0,t) overline {w} 0, t) )leq0).

Based on this identity, Pohozaev obtained a remarkable non-existence result for the following elliptic boundary value problem under the conditions that Ω is star-shaped and (alphage frac{n+2}{n-2}), (lambdale0).

The fast inverse square root is based on this identity, and on the fact that aliasing a float32 to an integer gives a rough approximation of its logarithm.

Eight lines (referenced here as BF51, BF54, RR5, S108, S97, SL5135, T28 and T50) were selected for the functional tests, based on this haplotype identity as well as polymorphism at the remaining sites within the sequenced ∼1 kb region.

This was based on the identity matrix (data not shown) calculated from the multiple sequence alignments and the nomenclature criteria that group mature proteins sharing more than 30% identity in a type and more than 75% identity in a subfamily [ 32].

This allows very specific atom selection based on the identity of groupings of atoms.

This results in rules that apply very different regulatory regimes based on the identity of the online actor.

However, there are also important differences based on the identity of the terminal groups.

Williams's argument is based on the identity theory of integrity, discussed above.