Sentence examples for suppose the sequence from inspiring English sources

I suppose the sequence, in ascending order of food-centricness, goes something like this: pub, pub with food, dining pub, restaurant in pub form.

Suppose the sequence ({f_{i}}) is not in (PAP _{0}(mathbb {Z};mathbb{R})).

In these workflows, suppose the sequence A→B appears only once.

Suppose the sequence of the stock prices is { C n, n ≥ 1 }, the data of the stock prices { c n, n ≥ 1 } are a realization of { C n, n ≥ 1 }.

Suppose the sequence we are examining is a1 a1...a13.

Suppose the sequences and are two sequences in such that.

Suppose the sequences,, and be generated by (4.1).

Let f be a weakly contractive mapping of C into itself with function φ and suppose the sequences { α n }, { β n } and { γ n } in ( 0, 1 ) satisfy { α n } + { β n } + { γ n } = 1, n ≥ 1 and { μ n } ⊂ ( 0, ∞ ).

Let X be a left invariant S -stable subspace of l ∞ ( S ) containing 1, { μ n } be a strongly left regular sequence of means on X such that lim n → ∞ ∥ μ n + 1 − μ n ∥ = 0 and { c n } be the sequence defined by (2.4) with lim sup n → ∞ c n ≤ 0. Suppose the sequences { α n }, { β n }, { γ n } and { δ n } in ( 0, 1 ) satisfy α n + β n + γ n = 1, n ≥ 1.

Let X be a left invariant S -stable subspace of l ∞ ( S ) containing 1, { μ n } be a strongly left regular sequence of means on X such that lim n → ∞ ∥ μ n + 1 − μ n ∥ = 0 and { c n } be the sequence defined in (2.4) with lim sup n → ∞ c n ≤ 0. Suppose the sequences { α n }, { β n }, { γ n } and { δ n } in ( 0, 1 ) satisfy α n + β n + γ n = 1, n ≥ 1.

Let X be a left invariant S -stable subspace of l ∞ ( S ) containing 1, { μ n } be a strongly left regular sequence of means on X such that lim n → ∞ ∥ μ n + 1 − μ n ∥ = 0 and { c n } be the sequence defined by (2.4) with lim sup n → ∞ c n ≤ 0. Suppose the sequences { α n }, { β n } and { γ n } in ( 0, 1 ) satisfy α n + β n + γ n = 1, n ≥ 1.