Sentence examples for before we establish from inspiring English sources
Before we establish our main results, we state the following result which is Lemma 3.1 in [3].
Before we establish our comparison theorem and boundedness criteria and Lagrange stability for initial time difference, we need to introduce the following definitions of ITD boundedness and Lagrange stability and Lyapunov-like functions.
The poaching here in 2010 before we established such a significant presence was way worse than what it is now.
It would be seven years before we established that there was no forensic evidence that Cheryl's death was caused by the rifle found at her side.
We are lucky in that we have a vehicle for fundraising, a team of passionate employees, the ears of hundreds of thousands of pet parents and a number of amazing partners who help support our efforts (to date, we've donated half a million dollars to organizations working to improve the lives of companion animals -- and that's before we established a formal giving program!).
Before we established a sampling frame, two of us (JSW and AF) evaluated each article type by journal based on criteria established a priori.
If a national trauma warrants some days' postponement of voting, shouldn't we establish guidelines before the chaos of the moment?
Describing the talks as positive, she added: "I have already said that I won't be triggering article 50 until I think that we have a UK approach and objectives for negotiations – I think it is important that we establish that before we trigger article 50".
Before presenting our main results, we establish an inequality.
Before Theorem 2.1 is proved, we establish the discretization theorems which give the reduction of the calculation of the probabilistic widths.
Before proving our main theorems we establish the boundedness and compactness of the operators ( A + f ) i : = ∑ j = 1 i a i, j f j, i ≥ 1 and ( A - f ) j : = ∑ i = j ∞ a i, j f i, j ≥ 1 from the weighted l p,v space into the weighted l q,u space in particular cases.
