Sentence examples for compact sequence from inspiring English sources
Ms. Lash's compact sequence of pale brush strokes, ghostly keening and punchy outbursts was striking and resourceful; you hoped to hear it again under better circumstances.
A compact sequence of four deftly characterized sections and an ending that looks back to its beginning, the work brought out the supplest, most affectionate playing the violinist Cho-Liang Lin and the harpist Bridget Kibbey could muster.
Also, compact sequence diagram generation is studied in (Noda et al. 2012) and (Jayaraman et al. 2017).
Hence, by Dunford-Pettis Theorem, ({u_{varepsilon }y_{varepsilon }}_{varepsilon >0}) is a weakly compact sequence in (L^{1}(Omega)).
Let us show that ({widehat{y}_{varepsilon _{k}} }_{kinmathbb {N}}) is a weakly compact sequence in (H^{1}(Omega)) with the extra property Deltawidehat{y}_{varepsilon _{k}}in L^{2}(Omega quad forall varepsilon >0,quad text{and}quadlim_{{varepsilon _{k}}to0} biggl( frac{varepsilon _{k}}{2}Vert Delta widehat{y}_{varepsilon _{k}}Vert ^{2}_{L^{2}(Omega)} biggr)=C_{0}.
Consider a concentration property of a relatively compact sequence of Haar measures ((mu_{j})) in the case where the corresponding group (U j)) is endowed with the normalized Hilbert-Schmidt metric d_{HS} u,v =sqrt{j^{-1} mathsf{tr}|u-v|_{HS}},v =sqrt{j^{-1}re } |u-v|_{HS}=sqrt{(u-v)^(u-v)}.
Interestingly, the optimization formulation also reveals that maximally compact sequences are derived from Mathieu's harmonic cosine function of order zero.
For a chosen frequency variance, we formulate the search for "maximally compact sequences" as an exactly and efficiently solved convex optimization problem, thus providing a sharp uncertainty principle for sequences.
Stable interactions of this sort are often mediated by compact sequences within proteins called domains.
De Bruijn sequences are the most compact sequences that cover all k-mers (Berger et al., 2006; Fordyce et al., 2010).
Brachypodium's short stature; simple growth requirements; amenability to genetic transformation; and compact, sequenced genome make Brachypodium a suitable research model for its less-tractable grass relatives [ 12- 17].
