Ed,

> For instance, if angles are measured in degrees and x<<1
> sin x ~ pi * x / 180
> sin x ~ x

Your equations cannot simultaneously be true & in fact the 1st one is
obviously wrong, the 2nd is right.  In the 1st case I think you meant
(substituting 'x*deg' for 'x' in your correct 2nd equation):

sin(x*deg) ~ (x*deg)  for (x*deg) << 1

where 'deg' = pi/180.  Therefore we have:

sin(x*deg) ~ pi*x/180


> There are many other examples of such agreements.  For instance, the
> singular choice of axes permutation in P21212 is to make sure that
> two-fold is along c.  We could agree instead to always have 
> a>b>c - it's
> workable, but we would have to keep two more space groups 
> around (hope I
> didn't make too many factual mistakes here).

Just one: it's a<=b<=c.  In any case, this comment is analogous to Henry
Ford's famous sales pitch for the Model T: "You can have a car in any
colour so long as it's black".  Tell me, which would you say makes more
sense: a) 1 person spends 10 secs adding 10 lines to the syminfo file
once and for all, or b) many people post queries to CCP4BB about
re-indexing their MTZ files because the processing mis-identified 2-fold
screw axes from the systematic absences?
 
> PS.  By the way, did you notice that pi^2 ~ g ?  I 

... and did you notice that e^(i*pi) + 1 = 0 connects the 5 fundamental
mathematical constants? - that also has nothing whatsoever to do with
this thread ;-).

Cheers

-- Ian


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