Sentence examples for following limits from inspiring English sources

γ n = γ n ( x, y ) ≥ max ( 0, 1 − k n ) and assuming that the following limits exist: (3.9).

All node voltages of the system must be maintained within the following limits during the optimization process.

In line with several studies, the following limits were established for the study area in the City of Madrid.

Proof (I) First we prove that the following limits exist lim n → ∞ d ( x n, p ) for each  p ∈ F and lim n → ∞ d ( x n, F ). (3.3).

(I) We first prove that the following limits exist: lim n → ∞ d ( x n, q ) for each  q ∈ F and lim n → ∞ d ( x n, F ). (3.26).

(1) First we prove that for each p ∈ Γ, the following limits exist lim n → ∞ x n - p and lim n → ∞ u n - p. (2.2).

The veteran right-hander managed just 83 runs during the Ashes while in the following limited-overs series he has averaged a mere 12.5 so far.

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).

For the final evaluation of results, the following limiting conditions are used.