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meaning of lm( y~., data=mydat ), is it a language feature, is it documented, is it supported?

Actually, it is debatable which one of those deserve to be called "usual". Once upon a time, in the heyday of John Tukey, it might have been usual to have data set of a few hundred rows and, like, a dozen columns, exactly one of which being the response. Not so much these days, I'd say.

-pd