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Classes | |
class | DerivativeForm< order, dim, spacedim, Number > |
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Output operator for DerivativeForm. Print the elements consecutively, with a space in between, two spaces between rank 1 subtensors, three between rank 2 and so on.
Definition at line 438 of file derivative_form.h.
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One of the uses of DerivativeForm is to apply it as a linear transformation. This function returns
The transformation corresponds to
in index notation and corresponds to
Definition at line 478 of file derivative_form.h.
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Similar to the previous apply_transformation(). Each row of the result corresponds to one of the rows of D_X
transformed by grad_F
, equivalent to
Definition at line 503 of file derivative_form.h.
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Similar to the previous apply_transformation(), specialized for the case dim == spacedim
where we can return a rank-2 tensor instead of the more general DerivativeForm
. Each row of the result corresponds to one of the rows of D_X
transformed by grad_F
, equivalent to
Definition at line 529 of file derivative_form.h.
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Similar to the previous apply_transformation(). Each row of the result corresponds to one of the rows of D_X
transformed by grad_F
.
Definition at line 556 of file derivative_form.h.
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Similar to the previous apply_transformation(). In matrix notation, it computes
Definition at line 589 of file derivative_form.h.
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Transpose of a rectangular DerivativeForm DF, mostly for compatibility reasons.
Definition at line 610 of file derivative_form.h.
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Specialization of apply_transformation() for a diagonal DerivativeForm.
Definition at line 624 of file derivative_form.h.
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Similar to the previous apply_diagonal_transformation(), specialized for the case dim == spacedim
where we can return a rank-2 tensor instead of the more general DerivativeForm
. Each row of the result corresponds to one of the rows of D_X
transformed by grad_F
, equivalent to
Definition at line 649 of file derivative_form.h.
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Similar to the previous apply_diagonal_transformation(). Each row of the result corresponds to one of the rows of D_X
transformed by grad_F
.
Definition at line 677 of file derivative_form.h.
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Similar to the previous apply_transformation(). Each row of the result corresponds to one of the rows of D_X
transformed by grad_F
, equivalent to
Definition at line 707 of file derivative_form.h.