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[diderot] Annotation of /branches/lamont_dev/doc/OPERATORS
Annotation of /branches/lamont_dev/doc/OPERATORS
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Type syntax
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Let T<[d1, …, dn], ty> be a tensor of order n with dimensions d1, … dn
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Let DATA_m<[d1, …, dn], ty> be a tensor dataset of m dimensions
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Let F_m<[d1, …, dn], ty> be a tensor field of m dimensions
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Basic operations:
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The gradient of a scalar field
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D : F_m<[], ty> -> F_,<[m], ty>
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The Hessian of a scalar field
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D o D : F_m<[], ty> -> F_,<[m,m], ty>
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The eigenvalues of a symmetric matrix
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lambda : F_m<[d,d], ty> -> F_m<[d], ty>
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Patterns:
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The eigenvalues of the Hessian
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lambda o D o D
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