jordan curve Antonyms
No Synonyms and anytonyms found
Meaning of jordan curve
Wordnet
jordan curve (n)
a closed curve that does not intersect itself
jordan curve Sentence Examples
- A Jordan curve can be defined as a simple closed curve that is the continuous image of a closed interval in the plane.
- The Jordan curve theorem states that a Jordan curve divides the plane into two regions: the interior and the exterior.
- The boundary of a Jordan curve is itself a closed curve.
- A Jordan curve can be represented by a parametric equation of the form \(x=f(t)\) and \(y=g(t)\), where \(t\) ranges over a closed interval.
- The interior of a Jordan curve is the open set of points that lie inside the curve.
- The exterior of a Jordan curve is the open set of points that lie outside the curve.
- A Jordan curve divides the plane into two disjoint regions: the bounded region and the unbounded region.
- The bounded region is the region that is enclosed by the curve.
- The unbounded region is the region that is not enclosed by the curve.
- A Jordan curve theorem is a fundamental result in topology that has important applications in many areas of mathematics.
FAQs About the word jordan curve
a closed curve that does not intersect itself
No synonyms found.
No antonyms found.
A Jordan curve can be defined as a simple closed curve that is the continuous image of a closed interval in the plane.
The Jordan curve theorem states that a Jordan curve divides the plane into two regions: the interior and the exterior.
The boundary of a Jordan curve is itself a closed curve.
A Jordan curve can be represented by a parametric equation of the form \(x=f(t)\) and \(y=g(t)\), where \(t\) ranges over a closed interval.
