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May 24, 2011 at 11:24 comment added Peter Shor @Boob: There's a first derivative, and a second derivative, and the OP wants to talk about a mathematical object halfway between them. You could say the "3/2 order derivative" or the "derivative of order 3/2." But I think "one-and-a-halfth derivative" or "first-and-a-half derivative" are more comprehensible, albeit less grammatical. If the OP needs to start talking about the "1.743th derivative", then "derivative of order 1.743" starts sounding better.
May 24, 2011 at 7:49 comment added Glen Wheeler @Boob You are missing the point. The situation is that we have a set of objects, they have a well-defined ordering, one wishes to refer to those in the "3/2th" place. That they have a well-defined ordering is not in question, and that seems to me to be what you are struggling with.
May 23, 2011 at 15:22 comment added user8568 It's not correct. There is no place for 3/2, when we count members of a queue, we cannot say "1st one, one-and-a-halfth one, 2nd one, ..". there's no order for non integer numbers.
May 23, 2011 at 12:45 history edited Peter Shor CC BY-SA 3.0
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May 23, 2011 at 12:35 history edited Peter Shor CC BY-SA 3.0
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May 23, 2011 at 12:25 comment added Glen Wheeler Indeed, the pronounciation is a big problem. When one gives a talk, and wishes to say "Computing the (3/2)-th derivative gives us..." it becomes cumbersome and sometimes embarrassing. With yours and Unreason's answers, I shall use "X-and-a-halfth". The question now becomes, how do I accept both answers?
May 23, 2011 at 11:29 history answered Peter Shor CC BY-SA 3.0