Sentence examples for compact on the from inspiring English sources
By the Arzelà-Ascoli compactness theorem, Φ is compact on the space (B^{alpha/2, gamma/2}(ItimesOmega)), and thus the operator (Phi u): B^{alpha/2, gamma/2}(I timesOmega) rightarrow B^{alpha /2, gamma/2}(I timesOmega)) is completely continuous.
It is inspired by the fact that whenever a composition operator or one of its powers is compact on the Hardy space H2, then its eigenfunctions cannot grow too quickly on the unit disc.
"Birth is ninety per cent the mother," Badu explained, sipping from a bowl of dewy soup while sitting cross-legged and compact on the living-room floor of her small Fort Greene one-bedroom on the evening after her Brooklyn show.
Taken together, the data in Figures 7 and S6 indicate that OxlT samples multiple structural states, where one highly populated state found in the presence of substrate is more compact on the cytoplasmic surface and more expanded on the periplasmic surface than the homology model.
They were compact on the ball and, above all, patient.
Resident rogue Dolokhov, meanwhile, wears the Cossack-style papakha, more compact on the head but still a pretty big statement.
The compact, on-ear Sony MDR-NC200D ($200) also stands out for excellent noise canceling and resonant, clear sound.
Or a user can flip up a compact on-screen shortcut bar, dubbed "the wave," which allows a user to open up another application with a finger flick.
In spite of several fitful attempts to engineer a similar compact on this side of the Channel, the idea never really caught on.
The moment a state treated the rules of international law as binding on others but not on itself, the compact on which the law rested was broken, Bingham argued.
Therefore, is equicontinuous and the Arzela-Ascoli theorem implies that is compact on, so the operator is completely continuous.
