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searching for Complete set of invariants 8 found (17 total)

alternate case: complete set of invariants

Listing number (133 words) [view diff] exact match in snippet view article find links to article

given by Bernhard Riemann, the Listing numbers do not form a complete set of invariants: two different two-dimensional manifolds may have the same Listing
Sidney Martin Webster (500 words) [view diff] exact match in snippet view article find links to article
Chern-Moser invariants, he developed a theory that provides a complete set of invariants for nondegenerate real hypersurfaces under volume-preserving biholomorphic
Matrix similarity (1,081 words) [view diff] exact match in snippet view article find links to article
blocks Index of nilpotence Elementary divisors, which form a complete set of invariants for similarity of matrices over a principal ideal domain Because
Modular invariant theory (507 words) [view diff] exact match in snippet view article find links to article
ring Fq[X1, ...,Xn] in the natural way, Dickson (1911) found a complete set of invariants as follows. Write [e1, ..., en] for the determinant of the matrix
Carminati–McLenaghan invariants (1,023 words) [view diff] exact match in snippet view article find links to article
{1}{32}}\,S^{cd}\,S^{ef}\,C^{aghb}\,C_{acdb}\,C_{gefh}} comprise a complete set of invariants for the Riemann tensor. In the case of vacuum solutions, electrovacuum
Cartan's equivalence method (1,252 words) [view diff] exact match in snippet view article find links to article
connection coefficients and their invariant derivatives form a complete set of invariants of the structure, and the equivalence problem is solved. In the
Integrable system (3,405 words) [view diff] exact match in snippet view article find links to article
joint level sets of the action variables. These thus provide a complete set of invariants of the Hamiltonian flow (constants of motion), and the angle variables
Frenet–Serret formulas (4,898 words) [view diff] exact match in snippet view article find links to article
are congruent. In particular, the curvature and torsion are a complete set of invariants for a curve in three-dimensions. The formulas given above for