Wow!  Your comments on the site are usually great, and higher in this thread is the first time I&#x27;ve read something you&#x27;ve written and said &quot;no, that&#x27;s completely wrong!&quot;.   Coming to the bottom and finding that you&#x27;ve already done the math to prove yourself wrong is wonderfully enheartening.   I hope that I can have the grace and ability to do the same the next time I make a similar mistake.