Sentence examples similar to a following limit from inspiring English sources

Jesse Stay from SocialToo wrote something about this earlier today on his blog, criticizing the startup over a change it made to its following limit policy without notifying anyone else prior to the tweak actually being implemented.

If the following limit (1.5).

Step 3. The following limit holds: (3.8).

By Lemma 2.6, the following limit exists: lim n → ∞ ∥ x n − p ∥. (3.13).

We assume the schedule is stable, in the sense that the following limit exists: (3).

By Lemma 1.5, the following limit exists: lim k → ∞ ρ k ( x, y ) : = ρ ( x, y ).

That is, there exists such that the following limit holds: (210).

where n = + 1 for α ∉ ℕ, and n = α for α ∈ ℕ. By, we mean the following limit.

Hence, from Lemma 1.8 we know that the following limit exists lim n → ∞ x n - p. (2.10).

Therefore, by using Lemma 3.5 we have the following limit: lim n → ∞ ∑ k | λ ˜ n k | = 0. (3.1).

On the other hand, in the case of shrublands, the limitations for invasion could be explained by the following limiting conditions: (a) shallow ground, exposed rock, and steep slopes; (b) positioning on top of the hills, which decreases the probability of seed arrival; and (c) exceedingly dense ground layer that prevents the establishment of specimens.