Sentence examples for random version from inspiring English sources

Each user gets a random track, and also a random version of that track mimicking the treatment it might get from a random boombox.

Nevertheless, we restrict our considerations to a random version of the theorem on antipodes.

Theorem 5.1 is a random version of the Ky Fan fixed point theorem.

To prove Theorem 10.11, we need a random version of Lemma 4.5 in [30].

As some Corollaries of the above theorem, we now obtain a random version of the results given in Xu [14].

Also, we established a random version of Sadovskii's fixed point theorem type in a vector Banach space.

And random versions with volume and note-length changes arbitrarily sprinkled throughout made almost no impression.

The random versions of these results are also given in this section.

In Section 4, by using the measure of noncompactness, we prove some random versions of Sadovskii's fixed point theorems in a vector separable Banach space.

To achieve this, we introduce a set of simple statistics, which we discuss by comparing their values on a representative set of real-world networks and on their random versions.

These are not random versions of Linux; each effort is critically backed by a combination of major industry players, each of which creates their own ecosystem; Google, HP, Intel, Nokia, Amazon, etc.