Canonizant

In mathematical invariant theory, the canonizant or canonisant is a covariant of forms related to a canonical form for them.

Canonizants of a binary form

The canonizant of a binary form of degree 2n – 1 is a covariant of degree n and order n, given by the catalecticant of the penultimate emanant, which is the determinant of the n by n Hankel matrix with entries a_i+jx + a_i+j+1y for 0 ≤ i,j < n.

gollark: Apparently? That doesn't mean it generalizes to other stuff and magically heals you.

gollark: You can tell the difference between white and deep red quite easily, though.

gollark: That is not remotely the same thing.

gollark: "Known"?

gollark: That seems vaguely implausible.

References

Elliott, Edwin Bailey (1913) [1895], An introduction to the algebra of quantics. (2nd ed.), Oxford. Clarendon Press, JFM 26.0135.01

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