Sentence examples for free unitary from inspiring English sources

We study the liberation process for projections: (p,q)↦ pt,q)="(utput⁎,q) where ut is a free unitary Brownian motion freely independent from {p,q}.

We prove that the free orthogonal and free unitary quantum groups FO+N and FU+N are weakly amenable and that their Cowling–Haagerup constant is equal to 1.

We also extend the notion of circular systems to more general elliptic systems, in order to give an alternate construction of our new two-parameter free unitary Segal Bargmann–Hall transform via a Biane Gross Malliavin type theorem.

It was designed as a national association for liberating the separate Italian states from foreign rule and fusing them into a free and independent unitary republic.

For the subsequent discussion of CR domain binding contributions unitary free energies, Δ Gu, rather than Δ G° are used, since they eliminate the unfavourable entropic component of simply bringing two binding partners together to form one complex [ 28].

In order to estimate the contribution of the octanoyl moiety to the membrane-binding, we determined the dissociation constants Kd, mole fraction partition coefficients Kp and unitary Gibbs free energies Δ G u 0 of ghrelin and also of free octanoic acid bound to DPC micelles by NMR titration experiments.

At first sight, this lovely idea seems to have nothing to do with Schrödinger operators since that equation isn't hyperbolic; after all it has infinite propagation speed and even for the free case, the dynamical unitary group doesn't leave the (C_0^infty ) functions fixed.

Independent of the binding stochiometry, the mole fraction partition coefficients and unitary Gibbs free energies of ghrelin and octanoic acid binding to DPC micelles were determined.

During his quarrel with the pope, he declared England to be an "empire", by which he meant a unitary sovereign state free from foreign jurisdiction.

Finally, we study a particular class of free Lévy processes on the unitary dual group which are also the limit of the blocks of random matrices on the classical unitary group when the dimension tends to infinity.

In the simplest case of a symmetrical channel made of equivalent subunits, each mutation copy would produce an equal "unitary" change in the free energy of gating, and hence a r-fold "unitary" change in EC50 values.