Re: Slide Rules was [Re: Auto Bailout (OT)



On Tue, 23 Dec 2008 13:41:05 -0700, Hatunen <hatunen@xxxxxxx> wrote:

On Tue, 23 Dec 2008 08:29:44 -0600, John O'Flaherty
<quiasmox@xxxxxxxxx> wrote:

On Sun, 21 Dec 2008 13:31:17 -0700, Hatunen <hatunen@xxxxxxx> wrote:

On Fri, 19 Dec 2008 12:27:07 -0600, John O'Flaherty
<quiasmox@xxxxxxxxx> wrote:

And if you sprinkle sand on a slide rule from above, more grains will
land between 1 and 1.99 than between 9 and 9.99. It's a question of
how the number system represents wide-ranging, continuous quantities.

And no grains at all will land between zero and one.

The scales are logarithmic. There is usually a parallel log scale
with even tempered numbering.

Depending how you look at it, the landings can be seen as between zero
and one.

I certainly wouldn't look at it that way. Of course, on a
circular slide rule there are no such landings.

In the context of my original comment (what a slide rule might show
about why 1s are more likely in the first digit of naturally occurring
quantities than 9s), if a grain of sand lands around 5, there's no
more reason to call it 5 than 0.5, or, for that matter, 5e-10, or
5e10. I don't have a circular slide rule, but I'm sure it can
represent 0.5 too.

The scale can't represent zero or infinity, but it can
represent the mantissa of any number in the open interval (0,oo).

Uh, yeah.

--
John
.



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