Sentence examples for shown to be continuous from inspiring English sources

Podleś spheres are shown to be continuous in the natural parameter as ergodic actions of the quantum SU 2) group.

The field of C*-algebras over the interval [0, 2] for which the fibers are the soft tori is shown to be continuous.

There is an obvious increase in the animal's weight; it is shown to be continuous in the four treatment groups as well as the vehicle control.

The weight gain was shown to be continuous over the study period; statistically, the difference in weight gain between day 0 and all other days in all the groups is significant (p < 0.05) (Figure 1).

Moreover, based on the equivalence, the value function in the maximum hands-off control is shown to be continuous and convex in the reachable set [18], which can be used to prove the stability of an MPC-based closed-loop system.

These findings are consistent with atomic force microscopy experiments (Connell et al., 2013), where the transition was shown to be continuous as well.

if we prove that it has a closed graph since ℱ is already shown to be completely continuous.

By the same method of computation as in (3.1), Y1 t) and Y2 t) can be shown to be two continuous pathes in C w ( A ) from uC φ and uC-φto uC μ.

It is well known [24], Proposition 1.2, that (mathfrak{T}) will be upper semicontinuous if we prove that it has a closed graph, since (mathfrak{T}) is already shown to be completely continuous.

It is well known by Lemma 1.1 that ({mathcal{N}}) will be upper semicontinuous if we prove that it has a closed graph, since ({mathcal{N}}) is already shown to be completely continuous.

In Entamoeba histolytica, the intestinal protozoan that causes invasive amebiasis, the ER was first thought to be composed of vesicles of varying size but recently shown to be a continuous network (Teixeira and Huston, 2008).