Sentence examples for on satisfies from inspiring English sources

Cuntz's canonical inner endomorphism Φ of On satisfies hϕ=htϕ, which is determined by the mean entropy of ϕ on the UHF (uniformly hyperfinite) algebra.

In the case of electrode reactions occurring exclusively on the surface of such metal inclusions and the film thickness significantly exceeding clusters' radii, it is shown that the concentration of species participating in such processes (tested particles, further on) satisfies a diffusion equation complicated with an accompanying electrochemical reaction.

(H3) defined on satisfies (14).

Then the functional, defined on, satisfies the Palais-Smale condition.

Suppose that the function on satisfies the following condition: (3.7).

Assume that the function on satisfies the following condition: (3.6).

Let be a -distance on,, satisfy, and satisfying (4.19).

Aleisha chuckled and moved on, satisfied.

Women looking on satisfied themselves with picture-taking.

Let be a -distance on,, satisfy, and satisfy (4.1).

From (3.26), we obtain, then functions satisfy (3.25), and their constrictions on satisfy the (3.23).