Examples of 'open interval' in a sentence

Meaning of "open interval"

Open interval: In mathematics, a range of values on the real number line that does not include its endpoints
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  • an interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers.

How to use "open interval" in a sentence

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open interval
Let f be a continuous increasing function on an open interval.
Open interval with lower bound x.
See closed interval and open interval.
Now choose the open interval and the open interval.
And it must be differentiable over the open interval.
Over the open interval.
The two points a and b form the boundary of the open interval.
In every open interval.
X Open interval with upper bound x.
If f is a continuous function on an open interval containing the closed.
Every nonempty open interval in R contains both rational and irrational numbers.
Must be differentiable on the open interval.
Let be differentiable on the open interval and continuous on the closed interval.
As a topological space, the real line is homeomorphic to the open interval.
A neighborhood of c is an open interval centered at c.

See also

An open interval may be empty even if a < b.
This is called an open interval.
An open interval does not include its endpoints, and is indicated with parentheses.
Differentiability on an open interval version.
Some possible choices include I = R, the whole set of real numbers, an open interval.
The possibility of treating any open interval over high thicknesses and depths of several meters.
Let f, I → R be a real-valued convex function defined on an open interval of the real line.
The series expansion on an open interval will also be an approximation for non-analytic functions.
Generation of pseudo-random numbers with continuous uniform distribution in the open interval ( 0,1 ).
For each, choose an open interval such that.
The service triggering threshold may be configured to any value within an open interval of ( 0,1 ).
Is defined on an open interval containing c { \ displaystyle c }.
The closed interval [ a, b ] includes the boundary values ; the open interval a, b does not.
I did the open interval from 0 to 5.
Similarly, if a little more complicated, the real line R is topologically isomorphic to the open interval ( 0,1 ).
The real numbers any ( nondegenerate ) closed or open interval in ( such as the unit interval ).
The open interval is not compact, the open cover::formula 9:for does not have a finite subcover.
This is indeed defined over the open interval zero to five.
Where p, q, and g are given (continuous) functions on the open interval I.
Then there is a point c in the open interval ( a, b ) such that.

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