open interval in English

part of a line that is not bound by endpoints (Mathematics)

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Below are sample sentences containing the word "open interval" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "open interval", or refer to the context using the word "open interval" in the English Dictionary.

1. Thus, there is one Coset for each number in the half-open interval [0,1)

2. Continuous Bounded function on the Bounded open interval ]a,b[ that is not uniformly continuous on ]a,b 2 Is $\frac{1}{\sin x}-\frac{1}{x}$ uniformly continuous on $(0,1)$?

3. In mathematics, a base or Basis for the topology τ of a topological space (X, τ) is a family B of open subsets of X such that every open set is equal to a union of some sub-family of B (this sub-family is allowed to be infinite, finite, or even empty).For example, the set of all open intervals in the real number line is a Basis for the Euclidean topology on because every open interval is an