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Sentences with JORDAN-CURVE

Check out our example sentences below to help you understand the context.

Sentences

1
"The jordan curve theorem states that a simple closed curve divides the plane into two disjoint regions, one bounded and the other unbounded."
2
"A jordan curve is a continuous curve in the plane that does not cross itself and ends where it started."
3
"A region enclosed by a jordan curve is called a bounded region."
4
"The interior of a jordan curve is the bounded region it encloses."
5
"The exterior of a jordan curve is the unbounded region outside of it."
6
"Mathematicians study the properties of jordan curves in topology."
7
"The concept of a jordan curve is fundamental in the theory of boundaries and regions."
8
"A jordan curve separates the plane into two parts: inside and outside."
9
"The concepts of jordan curve and simple closed curve are closely related."
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