We then obtain a list of equivalent conditions describing the strictly smaller ideal of operators with separable range, and finally we investigate the structure of the lattice of all closed ideals of B(C [0,ω1])).
The well-known sigma combination rule governs the connectivity of coincidence site lattice (CSL) grain boundaries at triple junctions, but is only strictly applicable for ideal CSL boundaries.
We find for p>1 that the asymptotics of the zeta function determines an ideal strictly larger than Lp,∞ on which the Dixmier trace may be defined.
Kato's student, Kuroda [394], shortly after Kato proved Theorem 13.3, extended this result of Weyl von Neumann to any trace ideal strictly bigger than trace class.
Without a highly localized, highly accurate weather forecast, it can be very difficult to predict how these factors will play out, so farmers tend to apply more nitrogen than would be strictly necessary under ideal conditions in order to make sure that at least some of it gets to their plants.
Strictly speaking, an ideal comparison would be to sample EST reads out of the same library from which the 454 cDNA reads were sequenced, however, no similar libraries are publicly available for M. truncatula because they were not normalized in the same way.
Another important special case is the ideal of strictly upper triangular operators, which is always principal; and the generator is a sum of commutators.
Radcliffe proves to be Dano's ideal foil, remaining strictly reactive, while investing Manny with an endearing sense of curiosity.
James Corden has hinted he would make an ideal contestant on Strictly Come Dancing, after revealing he is taking dance fitness classes ahead of his turn hosting the Tony awards.
Yet most available methods to explore solid-state material properties require ideal periodicity, which, strictly speaking, does not exist in this type of materials.
The Republic is an extended investigation of the nature of justice, in the course of which Socrates and his friends envision an ideal society that strictly censors and controls art forms such as drama, music, painting, and sculpture.
