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.

• Ricci Tensor
• Rice Distribution
• Richardson Extrapolation
• Richardson's Theorem
• Richard's Paradox
• Ridders' Method
• Ridge
• Riemann-Christoffel Tensor
• Riemann Curve Theorem
• Riemann Differential Equation
• Riemann Function
• Riemann Hypothesis
• Riemannian Geometry
• Riemannian Geometry (Non-Euclidean)
• Riemannian Manifold
• Riemannian Metric
• Riemann Integral
• Riemann-Lebesgue Lemma
• Riemann-Mangoldt Function
• Riemann Mapping Theorem
• Riemann P-Differential Equation
• Riemann P-Series
• Riemann-Roch Theorem
• Riemann Series Theorem
• Riemann's Formula