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 Charactaristic") of a closed bounded convex polyhedron always equals 1, while the Euler measure of a d-D relative-open bounded convex polyhedron is ( − 1 ) d {\displaystyle (-1)^{d}} .
See also Measure theory
Notes
External links Exponentiation and Euler measure