Sentence examples for are completely ordered from inspiring English sources
As for Condition (i), it clearly holds that σ ( ⋃ π ∈ S N C π ) ⊆ S. On the other hand, let X = ∑ i = 1 N λ i X i ∈ S. Then we find a partition ( A n ) n = 1, …, M, for some M ∈ N, such that on every A n the indexes are completely ordered, which is λ i 1 n ≥ λ i 2 n ≥ ⋯ ≥ λ i N n on A n.a This means that X ∈ 1 A n C π n with π n ( j ) = i j n.
Since most protein chains in PDB are completely ordered, we kept randomly selected 20% of the ordered proteins.
Here, previously disordered loops are completely ordered to display the full potential of a continuous electrostatic surface for binding DNA; Tyr162 is fully inserted into the DNA, and a base lesion is bound tightly in the AAG active site.
Even though the consortium's rough draft will not be completely ordered and will contain many gaps, it will nonetheless be of great value to researchers.
They call these partly connected systems "small-world networks". "The traditional approximations of networks, which assume either that everything is completely ordered or completely random, cannot in general predict the kinds of properties that we see in small-world networks," Watts has written.
These planes of simultaneity can then be completely ordered by the relation 'is earlier than' or its converse 'is later than'.
In addition, S is completely ordered and λ S ⊂ S for all λ ∈ [ 0, 1 ], then u n < r n + 1 v n.
The corresponding S S bridge in Insugen (I) chain A(1) is completely ordered which again poses a question about the origin of the distinction between the two molecular dynamics simulations.
Specially, for subsuper solutions which are not completely ordered, this type of three solutions result was studied in [26].
Results are then completely ordered with respect to these bipolar preferences, giving priority to constraints over wishes.
As the multiple B site cations are not completely ordered in the average structure, an understanding of the chemical factors contributing to the unexpected stability of these systems requires local structural information.
