But the catalecticant of the biquadratic function of x, y was first brought into notice as an invariant by Mr Boole; and the discriminant of the quadratic...
3 KB (456 words) - 22:28, 13 December 2023
Ternary quartic (section Catalecticant)
ternary quartics with an inflection bitangent. (Dolgachev 2012, 6.4) The catalecticant of a ternary quartic is the resultant of its 6 second partial derivatives...
4 KB (390 words) - 18:50, 3 April 2025
In linear algebra, a Hankel matrix (or catalecticant matrix), named after Hermann Hankel, is a rectangular matrix in which each ascending skew-diagonal...
8 KB (1,249 words) - 21:04, 14 April 2025
Vol. IV. New York: AMS Chelsea Publishing. ISBN 978-0-8218-4238-6. Catalecticant Clock and shift matrices Covariance and contravariance of vectors Evectant...
21 KB (2,092 words) - 04:25, 20 May 2025
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...
910 bytes (94 words) - 15:41, 18 October 2023
Higher-degree homogeneous polynomials can be diagonalized if and only if their catalecticant is non-zero. The process is particularly simple for degree-2 forms (quadratic...
2 KB (326 words) - 15:26, 14 September 2024
y^{2}}}\end{bmatrix}}.} It is a covariant of order 2n− 4 and degree 2. The catalecticant is an invariant of degree n/2+1 of a binary form of even degree n. The...
17 KB (2,706 words) - 02:42, 26 August 2024
linear forms. canonisant canonizant A covariant of a form, given by the catalecticant of the penultimate emanant. It is related to the canonical form of a...
39 KB (4,629 words) - 18:30, 3 March 2024
line bundle. Canonizant A canonizant is a covariant of forms. catalecticant A catalecticant is an invariant of a binary form of degree 2n that vanishes...
81 KB (11,193 words) - 03:00, 26 December 2024