Sentence examples for smallest closed from inspiring English sources

For Hilbert spaces L and M, we write I ( L, M ) Open image in new window for the subspace of L ( L, M ) Open image in new window consisting of all operators f ∈ I Open image in new window which map L to M. This subspace fails to be closed in L ( L, M ) Open image in new window in general; the smallest closed nonzero 'ideal' is K ( L, M ) Open image in new window.

We also analyze the length of the region [a(t), b(t)], which is the smallest closed interval containing the points x at which 0 < u t, x) < 1.

Consider a symmetric bilinear form Eϕdefined on C∞c(Rd) by[formula]In this paper we study the stochastic process associated with the smallest closed markovian extension of (Eϕ, C∞c), and give a new proof of Markov uniqueness (i.e. the uniqueness of a closed markovian extension) based on purely probabilistic arguments.

If t is closable, its closure (bar{t}) is defined to be its smallest closed extension.

Closure of the set A is the smallest closed set containing A, denoted by A̅.

We characterize the smallest closed invariant subspace for this model and show that the dynamics restricted to that subspace is ergodic.

To rule out the possibility that IL-1β was engulfed by the small closed autophagosomes, we employed Atg5 KO MEFs in which the phagophore could not be closed (Kishi-Itakura et al., 2014; Mizushima et al., 2001).

Dr. Malin and Dr. Edgett said the sediments "argue for small, closed catchment and depositional basins".

Creative director Karen Ross explained: "We have a very small closed set the last few days when we film.

This equation is applied to a case of impact in a small closed tank.

Thanks to small closed porosity, the targets exhibit high heat resistance under thermal shock.