CONGRATULATIONS!!1!

very interesting indeed.

       When I saw that message, I thought it was another of these
advertisements for something; so merely deleted it -
          now, I still am thinking that although I commend both of you for
responding with an attempt to help this 'PhD candidate' who seemed to
forget to state what his actual problem(s) is/are.

       BTW this reminds me of the time I was asked to read some PhD theses
- many were so lacking in proper grammar &/or logical thinking that I
merely wrote 'muddled thinking' on the paper; the professor told me that
was what he'd been thinking but was afraid to act before getting a second
opinion :wink: