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 continuit
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.