Exact(1)
I'VE been doing my best to avoid this, but since today's column actually falls on Mother's Day, I suppose further resistance is futile.
Similar(7)
By taking another appropriate subsequence we may suppose further i) lim n ||Px n ||, lim n ||Px n ||2, lim n ||Qx n ||2 exist. .
Suppose further that I now believe both that I've ingested XX and that P(R | I've ingested XX) is low; taken together, these two beliefs give me a defeater for my initial belief or assumption that my cognitive faculties are reliable.
Theorem 4.1 Assume that (H1) and ∑ j = 1, j ≠ i n a i j − > 0 hold, i = 1, 2, …, n, suppose further that there exists a constant γ > 0 such that min 1 ≤ i ≤ n inf t ∈ R [ a i i ( t ) − ∑ j = 1, j ≠ i n a j i ( t ) ] > γ, then system (4.1) has a unique positive almost periodic solution, which is globally attractive.
Suppose further that (I(0)=0) and.
Suppose further that I had committed some crime and then donated my cerebrum in this way.
Suppose, further, that I believenot-mule by deducing it from zeb.
Lemma 3.5 Let C be a closed, bounded and convex subset of a uniformly smooth, strictly convex Banach space E, let f be a bifunction from C × C to ℝ satisfying (A1 - A4), and let φ be a lower semicontinuous and convex function from C to ℝ. Suppose further that (i) ξ : E → R is weakly upper semicontinuous; (ii) ξ ( y − x ) + ξ ( x − y ) ≤ 0. .
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com