Sentence examples for in the case of ordered from inspiring English sources

Our result is an answer to finding sufficient conditions for the uniqueness of the common fixed point in the case of ordered g-contractions in Theorem 1.1.

Finally, two examples show that the comparability is a sufficient condition for the uniqueness of common fixed point in the case of ordered g-contractions, so our results are extensions of known ones.

The following theorem gives the sufficient condition for the uniqueness of the common fixed point of f and g in the case of ordered g-contractions in partially ordered metric spaces.

Here it can be pointed out that the notion of tripled fixed point due to Berinde and Borcut [4] is different from the one defined by Samet and Vetro [32] for (n = 3) in the case of ordered metric spaces in order to keep the mixed monotone property working.

Chi-squared trend tests were used in the case of ordered variables such as prompt size.

In the case of ordered categorical variables (e.g. age at menarche), p-value for linear trend was reported.

For instance, in the case of ordering food, it could allow you to compare delivery times and prices for the same restaurant across DoorDash, Seamless and GrubHub.

You could think of something like this being useful in the case of ordering food from a restaurant that might go well with beer or wine, or ordering it en masse for an event.

For example in the case of ordering the scaffolds of a genome assembly, the N50 or N90 scaffold size could be the relevant target resolution.

In other words, customer orders are accomplished using the finished goods inventory of Factories 1 and 2 in the case of orders received from the customers (Fig. 2).

Also, we explained why, in the case of order N=7, when one or the other of the parameters a or b (even both) tend towards infinite in the case of Peregrine breather of order N, it appears in the center of the figures' Peregrine breather of order N−2.