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Examples ofhyperdeterminant
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Only the first and third hyperdeterminants are multiplicative, except for the secondhyperdeterminantin the case of boundary formats.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Ahyperdeterminantis not the only polynomial algebraic invariant for the group acting on the hypermatrix.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Like a determinant, thehyperdeterminantis a homogeneous polynomial with integer coefficients in the components of the tensor.
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This example is from Wikipedia and may be reused under a CC BY-SA license.In particular concurrence and tangle are special cases ofhyperdeterminant.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Since then thehyperdeterminanthas found applications over a wide range of disciplines including algebraic geometry, number theory, quantum computing and string theory.
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This example is from Wikipedia and may be reused under a CC BY-SA license.This led to them writing their textbook in which thehyperdeterminantis reintroduced as a discriminant.
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This example is from Wikipedia and may be reused under a CC BY-SA license.There are at least three definitions ofhyperdeterminant.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Many other properties of determinants generalize in some way to hyperdeterminants, but unlike a determinant, thehyperdeterminantdoes not have a simple geometric interpretation in terms of volumes.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Cayley's firsthyperdeterminantis defined only for hypercubes having an even number of dimensions (although variations exist in odd dimensions).
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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