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View of /branches/vis12/doc/OPERATORS

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Revision 1685 - (download) (annotate)
Sun Jan 22 15:23:36 2012 UTC (10 years, 3 months ago) by jhr
File size: 528 byte(s)
  Create a branch to implement things that we need for the Vis 2012 paper
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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