length of curve in a metric space
Suppose that is a metric space. Let be a curve, so that is a continuous function, and let and for . The set is called a partition of the curve. The of the curve is defined to be the supremum over all partitions of the quantity .
|Title||length of curve in a metric space|
|Date of creation||2013-03-22 16:50:27|
|Last modified on||2013-03-22 16:50:27|
|Last modified by||Mathprof (13753)|
|Defines||length of a curve|