Definition:Interval/Ordered Set/Endpoint

Definition

Let $\struct {S, \preccurlyeq}$ be an ordered set.

Let $a, b \in S$.

Let:

$\closedint a b$

or

$\hointr a b$

or

$\hointl a b$

or

$\openint a b$

be an interval.

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The elements $a, b \in S$ are known as the endpoints of the interval.

$a$ is sometimes called the left hand endpoint and $b$ the right hand end point of the interval.

Also known as

An endpoint of an interval can also be written as end point.

Also see

• Definition:Endpoint of Real Interval

• Results about endpoints of intervals can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): interval
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): interval