In measure theory, the Euler measure of a polyhedral set equals the Euler integral of its indicator function.
The magnitude of an Euler measure
[edit]By induction, it is easy to show that independent of dimension, the Euler measure of a closed bounded convex polyhedron always equals 1, while the Euler measure of a d-D relative-open bounded convex polyhedron is .[1]
See also
[edit]Notes
[edit]- ^ Weisstein, Eric W. "Euler Measure". Wolfram MathWorld. Retrieved 7 July 2018.