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This memo, like the previous one, covers some entirely new ground. Is this a good thing? It looks more like a research paper than a description of a well-posed problem for which software is to be written. My view is that with a new formalism come new possibilities. The old algorithms can be implemented on top of the new formalism. For example, one could clean all four elements of the coherence vector independently, as is now done. AIPS++ should provide that capability. However, the point of this memo has been to explore what new things can be done using the HBS formalism. It is clear that a lot of new possibilities for imaging will spring up. This is, of course, what we hope will occur for many different areas of AIPS++.