Sentence examples for suppose throughout from inspiring English sources

We suppose throughout that the A is a compact subset of the complex plane ℂ and ( C ( G ), ⊕, ⊙ ) denotes the geometric complex field introduced by Türkmen and Başar [8].

In accordance with this remark, we suppose throughout the paper that the functions A i, B i from (1.7) satisfy A i ∈ L q ( z, ∞ ) and B i ∈ L p ′ ( 0, z ) (1.10).

Throughout, we suppose that the following assumptions hold.

We suppose (H1) is satisfied throughout the rest of this paper.

Throughout, we suppose that k ≥ 3 is big enough such that ξ, η ∈ [ 1 k, 1 − 1 k ].

For suppose this property holds throughout our models, and that for some arbitrary world i, OB OBp → p) is false at i. Then not all i-acceptable worlds are worlds where OBp → p is true.

Suppose a credible rumor spread throughout Greece that, rather than accept the harsh terms of another bailout package, the government was plotting to revert to the drachma.

The ship lurches throughout, but I suppose that as long as he isn't singing Abide With Me, all is probably well.

end{aligned} Throughout this paper, suppose that the following two assumptions hold.

Throughout the paper, suppose that p = ( p r ) is bounded with p r > 1 for all r ∈ N and.

Throughout, we will suppose that is strongly minihedral cone in with nonempty interior and be a partial ordering with respect to.