any math symbol for "between" or "strictly between".
in [Math]
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From: porky_pig_jr on 26 Mar 2010 16:17 Assume a, b, c are reals. when we say "b is between a and c" it means either a <= b <= c or c <= b <= a depending whether a < c or c < a. Likewise for "strictly between". I wonder whether there's a mathematical symbol for that, so you don't have to use the phrases "between" or "strictly between" and at the same time avoid writing something like "a < b < c if a < c, or c < b < a if c < a". TIA, PPJ.
From: Frederick Williams on 26 Mar 2010 18:50 "porky_pig_jr(a)my-deja.com" wrote: > > Assume a, b, c are reals. when we say "b is between a and c" it means > either a <= b <= c or c <= b <= a depending whether a < c or c < a. > Likewise for "strictly between". I wonder whether there's a > mathematical symbol for that, so you don't have to use the phrases > "between" or "strictly between" and at the same time avoid writing > something like "a < b < c if a < c, or c < b < a if c < a". > > TIA, > > PPJ. Dear Mr Pig, or may I call you Porky? Coxeter (and I bet others besides) uses [ABC] to mean B is between A and C. He is writing about points in Pasch and Veblen's ordered geometry rather than real numbers. -- I can't go on, I'll go on.
From: Rob Pratt on 26 Mar 2010 16:51
<porky_pig_jr(a)my-deja.com> wrote in message news:762da7f3-6a25-436d-ae6f-90efcf316609(a)t23g2000yqt.googlegroups.com... > Assume a, b, c are reals. when we say "b is between a and c" it means > either a <= b <= c or c <= b <= a depending whether a < c or c < a. > Likewise for "strictly between". I wonder whether there's a > mathematical symbol for that, so you don't have to use the phrases > "between" or "strictly between" and at the same time avoid writing > something like "a < b < c if a < c, or c < b < a if c < a". > > TIA, > > PPJ. Here are two ways to hide the "or": b in [min(a,c), max(a,c)] min(a,c) <= b <= max(a,c) Rob Pratt |