Task: Text Categorization
Input (English): In quantum mechanics, Koopmans theorem can be used to provide an interpretation of these, with regard to a Fock operator, as ionization potentials. If an operator is Hermitian, these are real, and the set of these is referred to as an operator's spectrum. The determinant of a finite matrix is equal to the product of these, and the sum of these is equal to its trace. FTP, name these roots of a matrixs characteristic equation that are defined as the solutions of the characteristic polynomial of a matrix.
Output (English): Science