identity SciMax Toolbox idim

SciMax Toolbox >> idiff

idiff

Maxima Function

Calling Sequence

idiff (expr, v_1, [n_1, [v_2, n_2] ...])

Description

Indicial differentiation. Unlike diff, which differentiates with respect to an independent variable, idiff) can be used to differentiate with respect to a coordinate. For an indexed object, this amounts to appending the v_i as derivative indices. Subsequently, derivative indices will be sorted, unless iframe_flag is set to true.

idiff can also differentiate the determinant of the metric tensor. Thus, if imetric has been bound to G then idiff(determinant(g),k) will return 2*determinant(g)*ichr2([%i,k],[%i]) where the dummy index %i is chosen appropriately.

identity SciMax Toolbox idim