Dinuclear nickelphenoxyiminato olefin polymerization catalysts based on rigid p-terphenyl frameworks are reported. Permethylation of the central arene of the terphenyl unit and oxygen substitution of the peripheral rings ortho to the aryl-aryl linkages blocks rotation around these linkages allowing atropisomers of the ligand to be isolated. The corresponding syn and anti dinickel complexes (25-...

Narrow planetary rings are eccentric and inclined. Particles within a given ring must therefore share the same pericenter and node. We solve for the threedimensional geometries and mass distributions that enable the Uranian α and β rings, and the Saturnian Maxwell and Colombo (Titan) rings, to maintain simultaneous apsidal and nodal lock. Ring self-gravity, interparticle collisions, and the qua...

The subfilter-scale (SFS) physics of regularization models are investigated to understand the regularizations’ performance as SFS models. Suppression of spectrally local SFS interactions and conservation of small-scale circulation in the Lagrangian-averaged Navier-Stokes α-model (LANS-α) is found to lead to the formation of rigid bodies. These contaminate the superfilter-scale energy spectrum w...

Let α be a prime Hurwitz integer. Hα, which is the set of residual class with respect to related modulo function in rings integers, subset H, all integers. We consider left congruent and, domain related
 this study ZN(α), ring ordinary integers N(α) elements, norm integer α. In study, we present an algebraic construction technique, formed depending on
 two operations, for codes over T...

A bar-slider framework is a bar-joint framework a part of whose joints are constrained by using line-sliders. Such joints are allowed to move only along the sliders. Streinu and Theran proposed a combinatorial characterization of the infinitesimal rigidity of generic bar-slider frameworks in two dimensional space. In this paper we propose a generalization of their result. In particular, we prov...

This article deals with the value distribution of multiplicative prime-independent arithmetic functions (α(n)) with α(n) = 1 if n is N-free (N ≥ 2 a fixed integer), α(n) > 1 else, and α(2) → ∞. An asymptotic result is established with an error term probably definitive on the basis of the present knowledge about the zeros of the zetafunction. Applications to the enumerative functions of Abelian ...

BACKGROUND The mechanism whereby bone activates resorptive behavior in osteoclasts, the cells that resorb bone, is unknown. It is known that α(v)β(3) ligands are important, because blockade of α(v)β(3) receptor signaling inhibits bone resorption, but this might be through inhibition of adhesion or migration rather than resorption itself. Nor is it known whether α(v)β(3) ligands are sufficient f...