levicivita

The levi civita symbol

% levicivita
% e = levicivita(I,Dim)
%
% Returns the levi civiata of the input indices. When Dim == 1, each
% column is seen as a vector of indices. When Dim == 2, each row is seen
% as a vector of indices. Dim defaults to 1 when unspecified.
%
% levi civiata is defined as follows
% | -1 if indices are an odd permutation. i.e. [1,3,2], [3,2,1],...
% e = | +1 if indices are an even permutation. i.e [1,2,3], [3,1,2],...
% | 0 if any of the indices are equal. i.e. [1,1,1], [3,2,2],...
%
% Example
% [I{1:3}] = ndgrid(1:3,1:3,1:3); % All 3D subscripts
% I = [I{1}(:) I{2}(:) I{3}(:)]; % 3D subscripts, i,j,k
% e = levicivita(I,2) % Levi civiata for 3D
%
% levicivita([1 2 3 4].') % Levi civiata for 4D
%
% See also
% levicivita permutationparity
%