Sentence examples for a certain compact from inspiring English sources
In 1973 Stampfli showed in [2] that the minimum of this perturbation is achieved for a certain compact operator.
The condition about the commutativity of and has been used to guarantee that the orbits for in the fixed point set of remain in a certain compact set and so they are relatively compact.
We reveal the fact that the problem (1.1 - 1.2 1.1 - 1.2s a chaotic dynamical system on certain compact subsets of (C_{0}(mathbb{R}^{N})) in Section 5.
This Japanese seller of quality bags makes their rucksacks out of rip-stop fabric and offers a certain stark, compact design that is as far from your typical JanSport as a kimono is from an Ed Hardy shirt.
Here dA denotes a suitably normalized area measure on C. For a point z0 belonging to the interior of certain compact set S and satisfying ΔQ z0)>0, we define the rescaled coordinatesz= z0+ξmΔQ z0),w= z0+ξmΔQ z0).
As an application we obtain the existence of the envelope of holomorphy for certain compact 2-manifolds.
And certain compact items on this year's schedule look exceptionally promising: "Origins of El Greco: Icon Painting in Venetian Crete" at the Onassis Cultural Center in Manhattan starting in November is one.
For perturbations of a fixed sign, we estimate the SSF in terms of the eigenvalue counting function for certain compact operators.
We apply this to the minimal representations of the exceptional groups of real rank 4 and investigate the correspondences of certain compact dual pairs.
Bournez and Hainry 2006 [Bournez, O. and E. Hainry, Recursive analysis characterized as a class of real recursive functions, Fundamenta Informaticae 74 (2006), pp. 409 433] used a function algebra to characterize the twice continuously differentiable functions of Computable Analysis, restricted to certain compact domains.
Let (X, H, μ) be the Wiener space; we define "twisted Sobolev spaces" associated to certain compact operators on H. Wiener functionals belonging to one of these spaces are termed "hypersmooth"; we prove a measure-theoretic analog of Sard′s theorem for them.
