On Jul 13, 2:52 pm, Wayne Brehaut <[EMAIL PROTECTED]> wrote: > On Fri, 13 Jul 2007 11:30:16 -0700, Paul McGuire <[EMAIL PROTECTED]> > wrote: > > > > > > >On Jul 13, 1:20 pm, Wayne Brehaut <[EMAIL PROTECTED]> wrote: > >> On Mon, 09 Jul 2007 23:51:25 -0700, "[EMAIL PROTECTED]" > > >> <[EMAIL PROTECTED]> wrote: > >> >On Jul 9, 11:42?pm, Paul McGuire <[EMAIL PROTECTED]> wrote: > >> >> On Jul 9, 11:21 pm, "Jim Langston" <[EMAIL PROTECTED]> wrote:> In > >> >> Python 2.5 on intel, the statement > >> >> > 2**2**2**2**2 > >> >> > evaluates to>>> 2**2**2**2**2 > > >> >> > 200352993040684646497907235156025575044782547556975141926501697371089405955 > >> >> > 63114 > >> >> > 530895061308809333481010382343429072631818229493821188126688695063647615470 > >> >> > 29165 > >> >> > 041871916351587966347219442930927982084309104855990570159318959639524863372 > >> >> > 36720 > > >> >> <snip> > > >> >> Exponentiation is right associative, so this is the same as: > > >> >> 2**(2**(2**(2**2))) > >> >> 2**2**2**4 > >> >> 2**2**16 > >> >> 2**65536 > > >> >> 2=10**0.3010, so 2**65536 is approx 10**19726 > > >> >> There are 19730 digits in your answer, > > >> >>>> import gmpy > >> >>>> n = 2**2**2**2**2 > >> >>>> gmpy.numdigits(n) > >> >19729 > > >> >Did you count the 'L'? > > >> numdigits(n)? > > >> What? 'L' is a digit in Python? I'm going back to Fortran! > > >> wwwayne > > >> >>so this seems to be at least in > >> >> the ball park. > > >> >> -- Paul- Hide quoted text - > > >> - Show quoted text -- Hide quoted text - > > >> - Show quoted text - > > >'L' counts for 50, but only when you use Roman font. > > WTL?! Not Times New Roman I hope? > > Now I'll have to extend my remarks below to include: > > L**L**L > D**D**D > M**M**M > etc. (since I don't recall what comes next) > > though these (L, D, M, ...) would seem to be numbers rather than > digits: the Romans used a base-1 system
No, "base" refers to a Positional Number system for which radix 1 is undefined. You can call Roman Numerals a Tally System of Radix 1. Tally sytems ARE defined for radix 1, but operate completely different from positional systems. > [for purposes of this > argument, at least] so I is the only Roman digit* and the others are > just shorthand for: > > I = 1 > V = IIIII > X = I*10 > L = I*50 > D = I*500 > M = I*1000 > etc. > > --- > For those who don't know which Roman digit I represents: > > | > _\|/__ > > wwwayne > > > > > > >-- Paul -- http://mail.python.org/mailman/listinfo/python-list
