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View of /branches/vis12-cl/doc/OPERATORS

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Revision 2402 - (download) (annotate)
Sat Jul 27 13:55:03 2013 UTC (8 years, 6 months ago) by jhr
File size: 528 byte(s)
  Create branch for adding OpenCL to vis12 branch.  Based on r2401 of the vis12 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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