Sentence examples for lp 1 from inspiring English sources

For example, the ICT interactions from the LP (1) N5/ LP (1) N6 to the antibonding π* C36 C38)/C49 C51 having E (2) of 51.63 kcal/mol.

We also characterize the exposed points of B1(lpl1, lp)), 1 ⩽ p < ∞.

The main result is a summability in Lp of the decomposition for ƒ ε Lp, 1 < p < ∞, ƒ = limr → 1 Σλ Σβ rk∝0∞ ƒ ∗ ϑλ,κ,εdλ.

The most significant interactions in this molecule, is electron donation from LP (1) N to the antibonding π* NBO of the adjacent C=C bonds.

There is strong electron delocalization from the Lp (1) N to the adjacent C=C and extended to the C=O group.

Charlotte Gainsbourg can rock leather elbows on a tweed coat, fully disproving Morrissey's axiom on Track 1, Side 1 of Solo Lp 1.

It can be seen from Table 2 that the estimated value of E(2) between filled (donors) Lewis-type NBOs (LP(1 N(45), LP(1 N(46), LP(1 N(47), and LP(1 N(48)) and empty acceptor) non-Lewis NBOs (LP(1 Ca 69)) are very large showing that electron density is significantly delocalized from nitrogen atoms to the metal atoms.

We prove that the new bases are unconditional bases for Lp, 1<p<∞, and Besov spaces.

The proportions of small (<0.2 mm) and large particles (LP) (>1 mm) were significantly reduced by feeding GSS.

We also prove that for suitable functions m the operator m(Lα) is bounded on Lp, 1<p<∞.

We prove dimension-free bounds on Lp, 1<p<∞, for the Riesz transforms δL−1/2α and δ⁎L−1/2α.