Sentence examples for the existence of generating from inspiring English sources

Now, let us give our attention to investigating the existence of generating functions of the form p 2 ( y i ).

It has also been observed that protein distributions can have longer tails than would be the case if they followed a Poisson distribution, and that this may indicate the existence of generating processes other than a Poisson process [9].

However, due to the existence of sodium (generating from SDS), an impurity corresponding to NaV6O15 is formed.

A necessary condition for the existence of a generating form η whose coefficients are holomorphic in the sense described above is then that V be a domain of holomorphy.

For a given finitely generated shift invariant (FSI) subspace W⊂L2 Rk) we obtain a simple criterion for the existence of shift generated (SG) Bessel sequences E(F) induced by finite sequences of vectors F∈Wn that have a prescribed fine structure i.e., such that the norms of the vectors in F and the spectra of SE(F) are prescribed in each fiber of Spec(W ⊂Tk.

The existence of the generated cyclopentanone after deprotection improves sensitivity by increasing acid diffusion.

Due to this point, in [22 24], the existence of solutions generated by impulses is investigated.

So if we assume PC and PD, then the existence of dilemmas generates an inconsistency of the old-fashioned logical sort.

For all p ∈ N⧹{0,1} we prove the existence of singly generated dual algebŕas which satisfy the property (A1P), but which do not have property (A1P−1).

Xu's study indicates that graphene oxide is more suitable for supercapacitor application than graphene due to the existence of pseudocapacitance generated from the oxygen-containing groups [25].

It is found that for each surface orientation, the mechanical properties of the patterned surface are deteriorated, due to the existence of defects generated during the direct imprint process.