This uses the resolvent of the Feller semigroup, defined below. Alpha centrality replaces the adjacency matrix with its resolvent. The Lagrange resolvent also introduced the discrete Fourier transform of order 3. Detecting the existence of such factorizations can be done using the resolvent cubic of. The name "resolvent" was given by David Hilbert. But it can be shown that the resolvent function "R" is holomorphic on its domain. Having the resolvent invariant as a root, it is called a resolvent (sometimes resolvent equation). Stronger statement than differentiability can be made regarding the resolvent map. The resolvent function "R" is holomorphic on "A". The resolvent set plays an important role in the resolvent formalism. The zeta function can be thought of as the determinant of the resolvent. Traugott's resolvent is stronger than Murray's. This subsection outlines properties of the resolvent map that are essential in this context. The first major use of the resolvent operator as a series in (cf. The consensus or resolvent of the terms formula 2 and formula 3 is formula 4.