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Hilbert's Theorem

Every Modular System has a Modular System Basis consisting of a finite number of Polynomials. Stated another way, for every order $n$ there exists a nonsingular curve with the maximum number of circuits and the maximum number for any one nest.


Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 61, 1959.

© 1996-9 Eric W. Weisstein