These quantities are distributed evenly within a semicircle for random symmetric systems according to the Wigner surmise. (15[2])For non-negative systems, the existence of a unique one of these quantities with the largest magnitude is guaranteed by the (15[6])Perron-Frobenius theorem. (15[1])The (15[1])asymptotic behavior of these quantities for the Laplace-Beltrami operator (15[1])is described by Weyl’s law. If a (*) matrix is (15[1]-5[1])diagonalizable, there is a basis where its entries are all zeros except on the diagonal, which takes these quantities. (10[2]-5[1])The set of all of these quantities (10[1])is the spectrum. These (10[1])quantities are (10[1])all real for a self-adjoin matrix, and it is usually denoted by a lowercase lambda. (10[3])The solutions of the characteristic polynomial, (10[1])for 10 points, identify these values (10[1])that are the scale of its corresponding eigenvectors. (10[1])■END■