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HYPERDETERMINANT

Hyperdeterminant

Concept in algebra

In algebra, the hyperdeterminant is a generalization of the determinant. Whereas a determinant is a scalar valued function defined on an n × n square matrix

Hyperdeterminant

Multipartite entanglement

Quantum entanglement of more than 2 qubits

special cases of hyperdeterminant. Indeed, for two qubits concurrence is simply the modulus of the determinant, which is the hyperdeterminant of first order;

Multipartite entanglement

Multipartite_entanglement

Arthur Cayley

English mathematician (1821–1895)

Cayley's mousetrap — a card game Cayleyan Chasles–Cayley–Brill formula Hyperdeterminant Quippian Tetrahedroid The crater Cayley on the Moon (and consequently

Arthur Cayley

Arthur_Cayley

List of things named after Arthur Cayley

Cayley–Menger determinant Cayley–Purser algorithm Cayley's formula Cayley's hyperdeterminant Cayley's mousetrap — a card game Cayley's nodal cubic surface Cayley

List of things named after Arthur Cayley

List_of_things_named_after_Arthur_Cayley

Mikhail Kapranov

Russian mathematician (born 1962)

-hypergeometric functions, A {\displaystyle A} -discriminants, and hyperdeterminants, and authored Discriminants, Resultants, and Multidimensional Determinants

Mikhail Kapranov

Mikhail_Kapranov

Grassmann number

Anticommutating number

(\theta _{i})^{N}=0\,} for some N > 2. These are useful for calculating hyperdeterminants of N-tensors where N > 2 and also for calculating discriminants of

Grassmann number

Grassmann_number

Glossary of invariant theory

relation between x and y is a relation of the form axy + bx + cy + d=0 . hyperdeterminant An invariant of a multidimensional array of coefficients, generalizing

Glossary of invariant theory

Glossary_of_invariant_theory

Discriminant

Function of the coefficients of a polynomial that gives information on its roots

"On a remarkable discovery in the theory of canonical forms and of hyperdeterminants". Philosophical Magazine. 4th series. 2: 391–410. Sylvester coins

Discriminant

James Joseph Sylvester

English mathematician (1814–1897)

"On a remarkable discovery in the theory of canonical forms and of hyperdeterminants". Philosophical Magazine. 2. 4th series: 391–410. Sylvester coined

James Joseph Sylvester

James_Joseph_Sylvester

Andrei Zelevinsky

Russian-American mathematician

equations (also known as GKZ-systems) and development of the theory of hyperdeterminants; generalization of the Littlewood–Richardson rule and Robinson–Schensted

Andrei Zelevinsky