Sentence examples for I then for from inspiring English sources

If for some i, then for all i, and hence, is nonempty.

i, then for every positive solution of model (1.1), one has (3.4).

(i) Then, for any (alphain operatorname{Cov}_{W} (overline{phi(W })), ϕ has an α-coincidence.

(i) Then for any (alphain operatorname{Cov}_{W} (overline{phi(W })), ϕ has an α-fixed point.

(i) Then, for (forall c>0), C_{mathbb{V}}bigl[|X|^{p}lbigl(|X|^{1/alpha}bigr bigr]< inftyquadLeftrightarrowquadsum_{n=1}^{infty}n^{alpha p-1}l(n mathbb{V}bigl(|X|>c n^{alpha}bigr)< infty.

Finally, take an increasing sequence ({u_n}subset mathcal {C}(I)) such that (u_nrightarrow uin mathcal {C}(I)); then for each (sin I), ({u_n(s)}) is a sequence in (mathbb {R}) converging to u(s).

Theorem 3.2 For the rank game Γ, assume that each BRMAES is nondecreasing when i ∈ I + and each BRMIES is nonincreasing when i ∈ I −, then for Γ there exists a rank equilibrium point.

Since x n i 0 is any fixed element of { x n i }, then for any element x n i of { x n i }, we have that x n i ≤ x ∗.

I then asked for lessons for Christmas.

(i) If, then for.

(i) Let, then,, for all.