In measure theory, the Euler measure of a polyhedral set equals the Euler integral of its indicator function.
The magnitude of an Euler measure
By induction, it is easy to show that independent of dimension, the Euler measure (sometimes called an "Euler Characteristic") of a closed bounded convex polyhedron always equals 1, while the Euler measure of a d-D relative-open bounded convex polyhedron is .
See also
Measure theory
Notes
External links
Exponentiation and Euler measure