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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.


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References

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

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Hilbert's Theorem

Cite this as:

Weisstein, Eric W. "Hilbert's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HilbertsTheorem.html

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