Sentence examples for compact element from inspiring English sources
It is shown that if A is a stably finite C∗-algebra and E is a countably generated Hilbert A-module, then E gives rise to a compact element of the Cuntz semigroup if and only if E is algebraically finitely generated and projective.
Our statistical analysis did not reveal significant N S asymmetry in the differential rotation of compact elements with positive polarity.
Its principle is to connect compact elements via ideal nodes, and to apply some kind of conservation rules for setting up equations.
Our results on the N S asymmetry of Hα filaments and compact elements are somewhat controversial since they show opposite simultaneous N S asymmetries.
The aim of the present work is to investigate solar differential rotation using rotation rates of Hα filaments in 1957 1993 and those of compact elements of large-scale magnetic fields in 1966 1985.
Let H be a complex, separable, infinite dimensional Hilbert space, and let (L(H)) denote the algebra of all linear bounded operators on H, (C(H)) the set of linear operators A with domain (D(A)) dense in H and range (R A)) contained in H and a graph (G A)) closed in (Htimes H). (K(H)) is the set of compact elements of (L(H)).
This Selberg principle states that the orbital integral of f, relative to a non-compact element, vanishes.
Similar results are obtained with a purely analytical method based on the compact nozzle approximation of Marble and Candel [Acoustic disturbances from gas nonuniformities convected through a nozzle, Journal of Sound and Vibration 55 (1977) 225 243] demonstrating that the DLR results can be reproduced simply on the basis of a low-frequency compact-elements approximation.
The designed structure can be used in integrated nanophotonics as a compact optical element with flat surfaces.
Kargaci and colleagues [ 30] suggested two strategies for controlling gene expression in chondrocytes, one using the compact enhancer element of Col2a1 with uniform high chondrocyte activity and the other a combination of several weaker enhancers with distinct functions in subsets of chondrocytes and tissues, such as Col11a2 and Matn1.
Compact magnetic elements with the polarity of the general solar magnetic field have larger speed of rotation than the elements with the opposite polarity.
