hyperdeterminantn.adj.
Mathematics.
A. n.
A determinant of operative symbols; a symbolic expression for an invariant or covariant: invented by Cayley.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix > operation or result of > determinant
determinant1843
hyperdeterminant1845
Jacobian1852
circulant1881
1845 Cayley in Cambr. Math. Jrnl. IV. 195 The function u whose properties we proceed to investigate may be conveniently named a ‘Hyperdeterminant’.
1895 E. B. Elliott Algebra of Quantics 161 Hyperdeterminants form a complete system of co~variants.
B. adj.
Of the nature of a hyperdeterminant.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of array > relating to matrices > relating to determinant
hyperdeterminanta1846
unimodular1852
a1846 Cayley in Cambr. & Dublin Math. Jrnl. I. 104 The question may be proposed ‘To find all the derivatives of any number of functions, which have the property of preserving their form unaltered after any linear transformations of the variables’... I give the name of Hyperdeterminant Derivative, or simply of Hyperdeterminant, to those derivatives which have the property just enunciated.
1895 E. B. Elliott Algebra of Quantics 161 The hyperdeterminant symbols.
This entry has not yet been fully updated (first published 1899; most recently modified version published online June 2019).
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n.adj.1845