Sentence examples similar to sequence of functioning from inspiring English sources

Consider two types of translation-invariant functionals I and J on Rm, and a sequence of functions fn whose corresponding symmetric rearrangements f∗n are convergent.

Now, we consider the sequence of functions.

Now, considering the sequence of functions.

The sequence of functions ( u n ′ ) n is equicontinuous.

The sequence of functions h n converges uniformly to h.

Then by Lemma 2.1, for, there exist a sequence of functions, a sequence of complex number, and such that (3.9).

Then by Lemma 2.1, there exist a sequence of functions, a sequence of complex numbers and such that (3.1).

As a result, the sequence of functions is weakly convergent to the function in the space.

Now, let us define { v η } as a sequence of functions of the type (3.9).

The sequence of functions ( u n ) n is uniformly bounded and equicontinuous.

Let 〈 f n ( x ) 〉 be a sequence of functions which belongs to L 2 α.