Sentence examples for set of real intervals from inspiring English sources

The set of real intervals will be denoted by K C ( R ).

The set of all real intervals is represented by ({{mathbb{I}}{mathbb{R}}}).

After remarking that he has previously shown that all spaces Gn have the same power as the set of real numbers in the interval (0,1), and reiterating his conviction that any infinite point sets has either the power of the set of natural numbers or that of (0,1),[34] Cantor turns to the definition of the general concept of a continuum within Gn.

In the following, stands for the set of real numbers and a compact real interval.

Let X = C00[-1, 1], the set of real continuous functions on the interval [-1, 1], each of which vanishes on a neighborhood of 0, with the sup norm ||.

Realize that using Theorem 2.11 we can affirm that the two previous sets are real intervals.

Here C ( J ) denotes the set of real functions which are continuous on the interval J.

Let (C_{n}(Omega I)) and (S_{n}(Omega I)) denote the sets (ItimesOmega) and (Itimespartial{Omega}), respectively, where I is an interval on R and R is the set of real numbers.

Consider an interval (T= [ 0,b ] ) of ℝ, the set of real numbers, endowed with the Lebesgue σ-algebra (mathcal{L} ( T ) ) and the Lebesgue measure λ.

Set of real numbers.

denotes the set of real numbers and.