catalecticantn.
/katəˈlɛktɪkənt/ Mathematics.
(See quots. 1852, 1860.)
ΘΚΠ
the world > relative properties > number > algebra > [noun] > expression > function > invariant
resultant1842
invariant1851
catalecticant1852
sextinvariant1852
reciprocant1886
1852 J. J. Sylvester Canonical Forms in Coll. Math. Papers (1904) I. 293 I shall hereafter refer to a determinant formed in this manner from the coefficients of f as its catalecticant.
1860 A. Cayley Coll. Math. Papers (1891) IV. 606 The name catalecticant denotes a certain invariant of a binary quantic of an even order.
Derivatives
cataˈlectic adj.
ΘΚΠ
the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions > of invariants
catalectic1851
subinvariantive1882
1851 J. J. Sylvester Canonical Forms in Coll. Math. Papers (1904) I. 211 The theory of the catalectic forms of functions of the higher degrees of two variables.
cataˈlectically adv.
ΚΠ
1851 J. J. Sylvester Canonical Forms in Coll. Math. Papers (1904) I. 211 If, however, certain further relations obtain between the coefficients of F, the canonical form reappears catalectically, the function becoming in fact representable as a single cube.
This entry has not yet been fully updated (first published 1933; most recently modified version published online June 2018).
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n.1851