"No Spam Mapson" wrote: >>>>>>>> The OED cites the following use of metric as a noun: >>>>>>>> 1921 Proc. R. Soc. A. XCIX. 104 "In the non-Euclidean >>>>>>>> geometry of Riemann, the metric is defined by certain quantities ... >>>>>>> >>>>>>> A good example of bad usage: *what* metric, *what* quantities? >>>>>>> The reader should not be left hanging with those questions unanswered. >>>>>> >>>>>> This is not bad usage at all. In mathematics, the word >>>>>> "metric" as a noun refers to a general type of distance, >>>>>> not necessarily the type in common use. >>>>> >>>>> It is certainly bad usage, for the following reason: the phrase, >>>>> "the metric", implies that there is *one* metric function on >>>>> Riemannian geometry, which is false. This reason has nothing >>>>> to do with distance measure in general, as commonly understood, >>>>> or otherwise. >>>> >>>> It is not bad usage, because a PARTICULAR Riemannian >>>> geometry is given by a particular metric; in fact, by the >>>> local quadratic form defining the differential metric. >>> >>> It *is* bad usage, because it requires the type of exegesis you >>> have just provided to make it meaningful. >> >>Statisticians, of course, always use completely unambiguous terminology > > This is not about terminology; this is about usage. > No, this is about setting the world record for the longest string of ">"s.
-Robert Dawson ================================================================= Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =================================================================