Another construct known by this word gives zero when evaluated at the matrix that generated it, according to the Cayley–Hamilton theorem.
Any continuous positive definite function that maps 0 to 1 can serve as a function known by this word due to Bochner's theorem. If this type of function converges pointwise, then considering its second Taylor coefficient and applying Lévy's continuity theorem yields a proof of the central limit theorem. This word describes a function defined as the expectation value of e to the "i-t-X" that always exists, unlike the similar moment-generating function. Another construct known by this word gives zero when evaluated at the matrix that generated it, according to the Cayley–Hamilton theorem. This word also denotes a quantity equal to 2 for all convex polyhedra that is defined as the number of vertices, minus edges, plus faces. For 10 points, give the 14-letter word for that quantity named for Euler, which also names the polynomial whose roots are the eigenvalues of a given matrix.
Any continuous positive definite function that maps 0 to 1 can serve as a function known by this word due to Bochner's theorem.
characteristic [accept characteristic function or characteristic polynomial or Euler characteristic] &lt;Other Science (Math)&gt;