The algebraic multiplicities sum up to , the degree of the characteristic polynomial. Allowing nilpotent elements in rings is related to keeping track of "multiplicities" in algebraic geometry. Cantor avoided paradoxes by recognizing that there are two types of multiplicities. Carbenes generally split into singlet carbenes and triplet carbenes, named for their spin multiplicities. As a result, the masses and spin multiplicities of such particles are then arbitrary. The multiplicities of distinct prime factors of "X" are independent random variables. Geometric multiplicities are defined in a later section. In "Difference and Repetition", Gilles Deleuze employs the term in his description of "multiplicities". Thus, 60 has four prime factors allowing for multiplicities, but only three distinct prime factors. The very form and content illustrate Blackness in its multiplicities. A relationship type is defined as specifying the end points and their multiplicities. The plane of consistency (grid) is the outside of all multiplicities. The term 'sites' includes multiplicities of both servers and clients. This implies that the points formula 199 have multiplicities formula 200 respectively.