8 Nov
2002
8 Nov
'02
4:19 p.m.
Hi, Shel. I'm not clear on how A(t) and B(t) depend on t in what you wrote below. I have posted a response to math-fun that should appear any minute. --Dan ------------------------------------------------------------------------------ -------------------------------- << If A and B are thought of as matrix-valued functions of a parameter t where, e.g., A(1/n) ^ n = A(1), B(1/n) ^ n = B(1), which makes easy to see geometric sense for constant rate rotations, then the product integral P (A(t)B(t))^dt seems to be the continuously combined rotation (at least according to one way of defining it), and seems to be equal to P (B(t)A(t))^dt.