Sentence examples for values of compact from inspiring English sources
This paper investigates the asymptotic decay of the singular values of compact operators arising from the Weyl correspondence.
The latter work clearly shows the value of compact mobile spectrometers that enable studies to be carried out outside the research laboratory and even outdoors as also shown in the paper by Papliaka et al. [8].
Specifically, field values of the compact density, particle size distribution and temperature can be traced over time.
Condition (C) in Theorem 3.3 may seem restrictive, however it looks weaker if we recall that the values of are compact.
The direct way to estimate the singular values of a compact operator is to decompose it as a sum of orthogonal rank one pieces.
Two hypotheses can be presented as to what caused the higher Hg concentration values in trabecular tissue, extending up to 40 times the values of the compact bone tissue.
In the power scale, the asymptotic behavior of the singular values of a compact Hankel operator is determined by the behavior of the symbol in a neighborhood of its singular support.
In these limits, the model predicts both reaction-limited and diffusion-limited currents, which can be surpassed for finite positive values of the compact layer, diffuse layer and membrane thickness.
Compared to the measured electrical conductivity of acid-treated CNT/epoxy composite, which was 599 S/m and comparable with reported value of MWCNT compact [30], the electrical conductivity of Mg2Si-coated CNT was still extremely low.
Our results should have practical value for designing of compact heat exchanger and the proposed optimization method is supposed to have wide application for the time-efficient optimization of heat transfer through irregular configurations.
Proof With the same arguments as given in the first portion of the proof of Theorem 3.3, we know Γ : W 0 → 2 W 0 is a bounded map with convex values and is closed on W 0. Now, we prove the values of Γ are compact in C ( [ 0, 1 ] ; X ).
