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View of /branches/charisee_dev/doc/OPERATORS

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Revision 3269 - (download) (annotate)
Fri Oct 9 00:54:03 2015 UTC (4 years, 11 months ago) by cchiw
File size: 528 byte(s)
dev branch
Type syntax

  Let T<[d1, …, dn], ty> be a tensor of order n with dimensions d1, … dn

  Let DATA_m<[d1, …, dn], ty> be a tensor dataset of m dimensions

  Let F_m<[d1, …, dn], ty> be a tensor field of m dimensions

Basic operations:

  The gradient of a scalar field

	D : F_m<[], ty> -> F_,<[m], ty>

  The Hessian of a scalar field

	D o D : F_m<[], ty> -> F_,<[m,m], ty>

  The eigenvalues of a symmetric matrix

	lambda : F_m<[d,d], ty> -> F_m<[d], ty>


  The eigenvalues of the Hessian

	lambda o D o D

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