Subject:
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Re: Contacting LEGO Australia
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Newsgroups:
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lugnet.off-topic.fun
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Date:
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Fri, 8 Mar 2002 05:21:32 GMT
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Viewed:
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503 times
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In lugnet.off-topic.fun, Larry Pieniazek writes:
> In lugnet.off-topic.fun, Ross Crawford writes:
> > In lugnet.loc.au, Larry Pieniazek writes:
> > > In lugnet.loc.au, Ross Crawford writes:
> > > > In lugnet.loc.au, Larry Pieniazek writes:
> > > > >
> > > > > well, not EXACTLY, no, but I did hear of a draw that had these winning • numbers:
> > > > >
> > > > > 3 9 14 15 26 53
> > > > >
> > > > > So there you go (the 9 is out of place but other than that it's
> > > > > pi to 10 digits)
> > >
> > > Whoops!
> > > c /pi to 10 digits/the first 10 digits of pi/
> > >
> > > > Close, but actually pi to 10 digits is 3.141592654!!
> > >
> > > "Correct", since the next digit after 2653 is >4 so the 53 rounds up to • 54...
> > >
> > > But ACTUALLY INcorrect since " 3.141592654!! " is actually an invalid
> > > arithmetic expression. You cannot take factorials of non whole numbers.
> >
> > Bzzzt. The factorial (and double factorial, !!) can be extended to real &
> > complex arguments, as discussed here:
> >
> > http://mathworld.wolfram.com/Factorial.html
> > http://mathworld.wolfram.com/DoubleFactorial.html
>
> Sorry, no. The two articles you cite clearly show that the Gamma function is
> an EXTENSION of factorial to reals and complex numbers... NOT that factorial
> itself works with reals.
Double factorial equation (8) clearly states "Similarly, the double factorial
can be extended to complex arguments as: [eqn image that I can't be bothered
linking to]", similarly Factorial eqn (7).
Which by my book means these extensions *use* the gamma funtion, but *are*
valid extensions. YMMV.
ROSCO
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