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hyperdeterminant

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hyperdeterminant
hyperdeˈterminant, n. and a. Math. [See hyper- 3.] a. n. A determinant of operative symbols; a symbolic expression for an invariant or covariant: invented by Cayley. b. adj. Of the nature of a hyperdeterminant.1845 Cayley in Camb. Math. Jrnl. IV. 195 The function u whose properties we proceed to inv... Oxford English Dictionary
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Hyperdeterminant
Cayley's second hyperdeterminant Det In the special case of a 2 × 2 × 2 hypermatrix the hyperdeterminant is known as Cayley's hyperdeterminant after the For example, Cayley's hyperdeterminant has format (1, 1, 1) and a hyperdeterminant of format also exists. wikipedia.org
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Multipartite entanglement
In particular concurrence and tangle are special cases of hyperdeterminant. Indeed for two qubits concurrence is simply the modulus of the determinant, which is the hyperdeterminant of first order; whereas the tangle is the hyperdeterminant wikipedia.org
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hyper-
hyper-, prefix (haɪpə(r)) repr. Gr. ὑπερ- (ὑπέρ prep. and adv., ‘over, beyond, over much, above measure’); in Gr. combined adverbially with verbs, in the local sense ‘over, above, beyond’, as ὑπερβαίνειν to step over, overstep, cross, ὑπερβάλλειν to throw over or beyond; and hence in the adjectives ... Oxford English Dictionary
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List of things named after Arthur Cayley
algebra Cayley–Klein metric Cayley–Klein model of hyperbolic geometry Cayley–Menger determinant Cayley–Purser algorithm Cayley's formula Cayley's hyperdeterminant wikipedia.org
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Arthur Cayley
consequently the Cayley Formation, a geological unit named after the crater) Cayley's mousetrap — a card game Cayleyan Chasles–Cayley–Brill formula Hyperdeterminant wikipedia.org
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Grassmann number
For example, the rules for N = 3 with two Grassmann variables imply: so that it can be shown that and so which gives a definition for the hyperdeterminant wikipedia.org
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