Sentence examples for fix a sequence from inspiring English sources

To define neighborhood types, we fix a sequence of nested index sets { M k } k = 0 ∞.

Moreover, we fix a sequence of positive numbers strictly decreasing to zero such that (2.7).

We fix a sequence of positive numbers strictly decreasing to zero; for every, we define as (2.3).

Let K be a nonempty subset of a metric space ((X,d)) and fix a sequence ({a_{n}}subset[0,infty)) with (lim_{ntoinfty}a_{n}=0).

We select (theta ^-in {pi /2,,3pi /2}) so that ((n,theta ^-,theta )) is admissible, and fix a sequence (,{a_j}_{jin mathbb {N}}subset (0,,R/2),) so that (,lim _{jrightarrow infty }a_j=0).

[19] Let K be a nonempty subset of a metric space (X, d), P be a nonexpansive retraction of X onto K and fix a sequence ({a_{n}}subset [0,infty )) with (lim _{nrightarrow infty }a_{n}=0).

The alphabet is something not to be argued with: there are 26 letters in as fixed a sequence as the numbers 1-26; once learned in order and for the "sounds they make", you have the key to reading and the key to the way the world is classified.

Fixing a sequence interval [ k, l], it is straightforward to modify the definitions above to restricted quantities such as (7) Similarly, we can define a.

First, fix a zero sequence ε n ∗.

For a fixed, define a sequence by (1.12).

For any fixed, define a sequence iteratively as for all.