Sentence examples for A converges from inspiring English sources

A subset A of X is said to be closed if every convergent sequence in A converges to an element of A. Let ((X,N,T)) be a probabilistic Banach space.

A Menger PM-space is complete if every Cauchy sequence in S converges to a point in S. A subset A of S is closed if every convergent sequence in A converges to an element of A. Let ((S, F, T)) be a Menger PM-space.

(a) converges to if and only if as ; (b) is a Cauchy sequence if and only if as.

Any sequence ({x_{n}}) in A converges to a point (zin A) if ({lim}_{nrightarrow infty }G(x_{n}, x_{n}, z,s)=1) for all (s>0).

Notice now that, by Remark 1.3, the matrix A converges to zero too, which implies that (d(x_{n},x_{n+p} to0) as (ntoinfty).

(a) converges to if and only if for some matrix norm and that is not an eigenvalue of, (b) is bounded if and only if for every eigenvalue with and that if is an eigenvalue of.

Suppose that a sequence (an) converges to some unknown limit a.

That is, for ≽ it holds that: for every pair a, a ′∈ A, either a ≽ a ′, or a ′≽ a (or both); for every triple a, a ′, a *∈ A, if a ≽ a ′ and a ′≽ a *, then a ≽ a *; for every two sequences a, a, a, … and a ′, a ′, a ′, … in A, if the sequence a, a, a, … converges to a and the sequence a ′, a ′, a ′, … converges to a ′, and if a i ≽ a ′ i for each i, then a ≽ a ′.

A converging diverging nozzle is considered as primary nozzle of the ejector.

A converging electron mirror can be used to compensate spherical and chromatic aberrations in an electron microscope.

A converging body of evidence implicates the γ-amino butyric acid neurotransmitter system in the pathogenesis of schizophrenia.