Converges in a sentence

Egorov's theorem guarantees that on a finite measure space, a sequence of functions that converges almost everywhere also converges almost uniformly on the same set.

Observe that the Babylonian method converges quickly regardless of the initial guess, whereas Method X converges extremely slowly with initial guess 1.4 and diverges for initial guess 1.42.

Series of functions main A series of real- or complex-valued functions : converges pointwise on a set E, if the series converges for each x in E as an ordinary series of real or complex numbers.

The topology has the useful property that an infinite summation converges if and only if the sequence of its terms converges to 0, which just means that any fixed power of occurs in only finitely many terms.

This converges to ρ if n goes to infinity, provided that the average correlation remains constant or converges too.

This is sufficient to guarantee not only that the original series converges to a limit, but also that any reordering of it converges to the same limit.

This topology on R is strictly finer than the Euclidean topology defined above; a sequence converges to a point in this topology if and only if it converges from above in the Euclidean topology.

Amal observed that an elevation in nitric oxide levels affects presumably leading to neuronal dysfunction that converges into behavioral deficits.

Adversely, this will jumpstart your nodal opposition, which is when your past converges with your future and puts you at a crossroads, causing you to second-guess what you thought you believed in and rethink everything you’ve always wanted.

India's first direct-to-device connectivity solution converges satellite and terrestrial mobile networks to deliver "reliable connectivity", a release said, adding that the technology is particularly useful in emergency situations and isolated regions.

There are a few days left until Christmas and, like every year, Lorenzo’s family converges on his hotel for the Christmas holidays.

I’ve taught innovation and creativity at both American and Fordham Universities, and the North Pole is on my bucket list because it’s where every time zone converges.

The district converges for sixth through 12th grade at Shepaug Valley School, in Washington.

When the group, including five men, converges, the final voice is of the artist Agnes Martin.

Reps Theatre comes alive from November 13 to 17 as the dance community converges for this year’s edition of Stars of Tomorrow.

The statewide map that the data converges into is completely human-curated, rather than assisted by drones or satellite imagery.

Then after the bar scene, everything converges again.

A function may not be equal to its Taylor series, even if its Taylor series converges at every point.

A Laurent series is thus any series of the form : If such a series converges, then in general it does so in an annulus rather than a disc, and possibly some boundary points.

An equivalent definition is that every sequence of points must have an infinite subsequence that converges to some point of the space.