Sentence examples for be a certain infinite from inspiring English sources

Let X be a Banach space and let ({C_{n}|n=1,2,ldots}) be a certain infinite collection of subsets of X.

In 1934 the Norwegian Thoralf Skolem gave an explicit construction of what is now called a nonstandard model of arithmetic, containing "infinite numbers" and infinitesimals, each of which is a certain class of infinite sequences.

In particular we show that the Hardy constant is the same as that of a certain infinite sectorial region which has been studied by E.B. Davies.

In [A. V. Kosyak, Funktsional Anal. i Prilozhen.24 (1990), 82], a similar construction was done for a certain infinite-dimensional matrix group.

Fine has the genie stopping when all sets of a certain infinite size have been reached.

It is naturally represented on a certain infinite-dimensional spinor oscillator module (mathfrak {a} (V)) —more concretely, the complex of holomorphic differential forms on the vector space (mathbb {C}^n otimes mathbb {C}^N and the irreducible representation is that on the subspace (mathfrak {a}(V)^K) of K-equivariant forms.

"There's a certain reality — we are not movie stars," said Ms. Graynor, who has appeared in smaller parts in films like "Nick & Norah's Infinite Playlist".

A natural question is whether a theory can be categorical in certain infinite cardinalities i.e., whether there are cardinal numbers such that any two models of the theory of the same cardinality are isomorphic.

In fact if T is a first-order theory with infinite models, then the strongest kind of categoricity we can hope for in T is that for certain infinite cardinals κ, T has exactly one model of cardinality κ, up to isomorphism.

Asymptotic properties of failure polynomials have previously been analyzed for certain infinite families of quorum systems.

Also, there would be an infinite number of us, doing an infinite number of things.