Sentence examples for obey condition from inspiring English sources
Corollary 2 Let ( X, d ) be complete metric space and ( X, d, G ) obey condition (6).
Note that the symplectic matrices (1.7) associated with matrix Sturm-Liouville equation (1.1) for two arbitrary values λ = a and λ = b, a ≠ b obey condition (2.21) only for the case when R i does not depend on λ.
Obeying condition in equation (7) implies that begin{aligned} &alpha'_{1} gealpha_{1}, &alpha'_{M} lealpha_{M}.
Let and be increasing or decreasing sequences obeying condition then by condition, is a monotonic and order-bounded sequence, so Hence, condition holds.
Let ({x_{n}}) and ({y_{n}}) be two increasing or decreasing sequences obeying condition (H3), then, by condition (H1), ({f t, x_{n}, y_{n}, z_{n})+Mx_{n}}) is a monotonic and order-bounded sequence.
We assume that G j contains an additional edge e0 located upwards from the root as shown in Figure 2. Given a set V ∈ P, a vertex v of tree G j is called good (with respect to V) if at least one of its children obeys condition (4) or the first condition in (4) if v is the super-root.
Transmission of doxastic justification presumably obeys conditions that parallel those delineated in Sect. 2 for transmission of propositional justification.
As a consequence, the choice of physico-chemical methods for determination of aggregation parameters must obey this condition.
It is perfectly possible that the physical laws obey this condition, but still that time travel is not metaphysically possible because of the nature of time itself.
4) Non-linear frequency modulations FSK and full-response continuous phase modulation (CPM) naturally comprise multiple complex dimensions needed to obey UMP condition.
