Fundamental System

A set of Algebraic Invariants for a Quantic such that any invariant of the Quanticis expressible as a Polynomial in members of the set. In 1868, Gordan proved the existence of finite fundamental systemsof algebraic invariants and covariants for any binary Hilbert (1890) proved theHilbert Basis Theorem, which is a finiteness theorem for the related concept of Syzygies.

References

Hilbert, D. ``Über die Theorie der algebraischen Formen.'' Math. Ann. 36, 473-534, 1890.

• Liouville Function
• Liouville Measure
• Liouville Number
• Liouville Polynomial Identity
• Liouville-Roth Constant
• Liouville's Boundedness Theorem
• Liouville's Conformality Theorem
• Liouville's Conic Theorem
• Liouville's Constant
• Liouville's Elliptic Function Theorem
• Liouville Space
• Liouville's Phase Space Theorem
• Liouville's Rational Approximation Theorem
• Liouville's Sphere-Preserving Theorem
• Lipschitz Condition
• Lipschitz Function
• Lipschitz's Integral
• Lissajous Curve
• Lissajous Figure
• List
• Lituus
• Lituus Inverse Curve
• LLL Algorithm
• Ln
• Lobachevsky-Bolyai-Gauss Geometry