Sentence examples for given as above from inspiring English sources

where each T i (1 ≤ i ≤ N) is given as above and A1 is the same as in Problem II.

The differential equation of Markovian jump system (2.1) is given as above and, the similar result is also achieved by Yuan and Mao [19].

Corollary 3.5 Let M l, r, s i, i = 1, …, 4 be given as above and r, l, u, v ; s ∈ R + be such that l ≤ v, r ≤ u.

for and given as above.

The numerical simulations are given as above.

hold if y, z are given as above.

General definition of majorization differs from the one that is given above in [23]; however, on ℓ 1, we can give as above.

It was given as an "above-board" donation to support the building of a football centre for people in the African diaspora in the Caribbean, he claimed.

Let, and be given as in (i) above.

(v Let and be given as in (iv) above.

Then is a -strict pseudo-contraction, with (ii) Let, and be given as in (i) above.