Sentence examples for only if l from inspiring English sources

Then (finmathcal{PB}(mathbb{D})) if and only if l is bounded.

This means that F is representable on S n − 1 if and only if l ( F ) ≤ i ( F ) ≤ u ( F ).

JFI and JFI′ differ only in denominators, if and only if l i −l k >1, JFI′> JFI.

Take (Q=K) and get (widetilde{W}_{i} K geq widetilde{W}_{i} L)) with equality if and only if L and K are dilates.

Then A is classically bounded in ℝ n if, and only if, (L(ℝ n, ℝ m ), ν A, ΠΠ, Π M ) is a TV space.

In particular, we obtain that an l-Grigorchuk subshift is 1-repetitive if and only if l is a bounded sequence.

A function maps the disk,, onto a domain starlike with respect to theorigin if and only if (7).

Let ℓ be odd and α < 0. Then (6) is asymptotically stable if and only if (7) holds.

(iii) Let ℓ be odd and α < 0. Then (6) is asymptotically stable if and only if (7) holds.

By manipulating the Equation (see the Additional file 1 for the full details of the calculation), we obtain a condition allowing the increase of the number of infected subpopulations and a global epidemic in the metapopulation system only if (7) R * = 1 − π c r z c + 1 − π a 1 − r z a w 0 μ k 2 + 2 θ − k 1 + 2 θ k > 1 thus defining the global invasion threshold of the metapopulation system.

There are nontrivial solutions of (2.18) if and only if ∏ l = 1 k ( 1 + p l ) = ∏ l = 1 k 2 q l (i.e. det A = 0).