Sentence examples for a proper compact from inspiring English sources

Our key tool is the following fixed-point theorem for a proper compact integral operator on the convex subset of infinite dimension Banach space which is originally due to Schauder [8].

Choose a proper compact powder.

infinite (on any proper compact subinterval of ([0,+infty ))). On the other hand, trajectories of X belong a.s. to (mathcal{U}^{alpha }([0,t],mathbb{R})) for any (tge0); see [18].

However, it is also well known that a symmetric α-stable process X with (alpha in[1,2]) has finite p-variation for any (p>alpha) whereas its α-variation is infinite (on any proper compact subinterval of ([0,+infty ))); see, for example, [16, Thm. 4.1].

They both greatly expanded upon his chosen themes of human behavior, but for a proper and compact introduction to the films of Haanstra (who passed in 1997 at the age of 81), check out Glas, Zoo, and several of the Dutch filmmaker's other short works below.

(2) A Möbius IFS F on C ̂ has an attractor A ≠ C ̂ if and only if F is topologically contractive on some nonempty proper compact subset of C ̂.   (3) A projective IFS F has an attractor that avoids some hyperplane if and only if F is topologically contractive on the union of a nonempty finite set of disjoint convex bodies.  .

A Möbius IFS F on C ̂ has an attractor A ≠ C ̂ if and only if F is topologically contractive on some nonempty proper compact subset of C ̂.

With a hole of this depth, the asphalt had to be added in several layers, each one tamped down individually for proper compacting.

Consequently, Winter in America became considered by many fans to be the great "lost" Gil Scott-Heron album, before a proper reissue on compact disc thirty years following its original issue.

A continuous single-valued map is called a Vietoris map (written ) if the following two conditions are satisfied: (i for each, the set is acyclic, (ii) is a proper map, that is, for every compact one has that is compact.

If (L_{1}^{-1}) is compact, then (L-lambda N) is A-proper for each (lambdain[0,1]).