Re: Bases, was Re: Stirling engine queries

2004-03-06 Thread Robert Seeberger
- Original Message - From: "David Hobby" <[EMAIL PROTECTED]> To: "Killer Bs Discussion" <[EMAIL PROTECTED]> Sent: Saturday, March 06, 2004 2:22 PM Subject: Re: Bases, was Re: Stirling engine queries > > Am I wrong in thinking this? > > >

Re: Bases, was Re: Stirling engine queries

2004-03-06 Thread David Hobby
> I understand, but what I was saying is that it doesn't really make all > that much a difference. There are just too many cases where you would > still be using fractions and decimals, so a different base doesn't > simplify things in the long run. > Base 12 might be helpful when doing math in you

Re: Bases, was Re: Stirling engine queries

2004-03-06 Thread Robert Seeberger
- Original Message - From: "David Hobby" <[EMAIL PROTECTED]> To: "Killer Bs Discussion" <[EMAIL PROTECTED]> Sent: Friday, March 05, 2004 11:49 PM Subject: Re: Bases, was Re: Stirling engine queries > Robert Seeberger wrote: > ... > > >

Re: Bases, was Re: Stirling engine queries

2004-03-05 Thread David Hobby
Alberto Monteiro wrote: > > David Hobby wrote: > > > >>> However, a base 12 counting system would have been much better; > >> > >> No, it wouldn't > > > > Well, a little better. > > > A little worse. > > > Depending how you count, you can > > argue that 12 "has more factors" than 10. This

Re: Bases, was Re: Stirling engine queries

2004-03-05 Thread Steve Sloan II
David Hobby wrote: > At the end of it, half of them say things like "a cubic > meter is a liter, which weighs a gram". While we're already talking about changing our number systems, maybe we should change metric to make that true, because those definitions make a *lot* more sense than the real one

Re: Bases, was Re: Stirling engine queries

2004-03-05 Thread David Hobby
Julia Thompson wrote: > > David Hobby wrote: ... > > So base 12 is not bad, it gives nice tests for 2,4,8,... > > for 3,9,..., for 11 since 12 = 11 + 1 and it gives a poor test for > > 13 since 12^2 = 11*13 + 1. The situation for 5 and for 7 seems to > > be even worse. > > Contras

Re: Bases, was Re: Stirling engine queries

2004-03-05 Thread David Hobby
Robert Seeberger wrote: ... > > I'd say that this stuff gets pretty fuzzy. One could argue > > that 5 is more important than 11 and 13. On the other hand, one > > could say that ending tests are better than sum of digits tests, > > and conclude that 12 is superior since it replaces sum of digits

Re: Bases, was Re: Stirling engine queries

2004-03-05 Thread Ray Ludenia
Alberto Monteiro wrote: > Alberto Monteiro who spends his time in the traffic looking at > the numbers of the cars and dividing them by 11. I spend my time making words from the three letters on the plates we have here. Keeps me amused for a while. Bonus points for naughty words. Did I say I hate

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Julia Thompson
"Robert J. Chassell" wrote: > > Julia Thompson <[EMAIL PROTECTED]> wrote > > Base 10 has a minor advantage in divisibility tests that I don't > think you get with any other possible base between 5 and 17. And > unlike 5 and 17, it's not prime. > > What are the tests and the advantag

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Robert Seeberger
- Original Message - From: "David Hobby" <[EMAIL PROTECTED]> To: "Killer Bs Discussion" <[EMAIL PROTECTED]> Sent: Thursday, March 04, 2004 7:38 AM Subject: Re: Bases, was Re: Stirling engine queries > > > > Well, a little better.

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Nick Lidster
- Original Message - From: "Robert J. Chassell" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Thursday, March 04, 2004 6:38 PM Subject: Re: Bases, was Re: Stirling engine queries > ... but can someone please count to 12 using the tips and top >

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Robert J. Chassell
Alberto Monteiro <[EMAIL PROTECTED]> wrote The problem with base 12 is that it has _2_ twice and _3_ once when you factor it, so that the "practical man" rules to check if a number is divisible by another would get a higher degree of confusion. Ah, I see your point. However, I d

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Robert J. Chassell
... but can someone please count to 12 using the tips and top knuckels of one hand, 'cause i only get 10. I count 12: Looking at my left hand, palm towards my eyes, with my fingers curled over, I see the four tips of my fingers and four of the knuckles closest to my finger tips and four

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Robert J. Chassell
Julia Thompson <[EMAIL PROTECTED]> wrote Base 10 has a minor advantage in divisibility tests that I don't think you get with any other possible base between 5 and 17. And unlike 5 and 17, it's not prime. What are the tests and the advantage? I don't know anything about this. Perhap

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Julia Thompson
David Hobby wrote: > > > > Well, a little better. Depending how you count, you can > > > argue that 12 "has more factors" than 10. This must be worth > > > something, since I don't hear anyone pushing for prime bases such > > > as 11. Agreed, it's not a big deal. It might be more to ma

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Bryon Daly
From: David Hobby <[EMAIL PROTECTED]> There are two kinds of divisibility tests. They aren't usually given names, but let's call them "ending tests" and "sum of digits tests". Working base 10, there are ending tests for 2,4,8,... and 5,25,... as well as for their products. (Let's ignore c

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread Alberto Monteiro
David Hobby wrote: > >>> However, a base 12 counting system would have been much better; >> >> No, it wouldn't > > Well, a little better. > A little worse. > Depending how you count, you can > argue that 12 "has more factors" than 10. This must be worth > something, since I don't hear any

Re: Bases, was Re: Stirling engine queries

2004-03-04 Thread David Hobby
> > Well, a little better. Depending how you count, you can > > argue that 12 "has more factors" than 10. This must be worth > > something, since I don't hear anyone pushing for prime bases such > > as 11. Agreed, it's not a big deal. It might be more to make a > > number base feel "co

Re: Bases, was Re: Stirling engine queries

2004-03-03 Thread The Fool
> From: Julia Thompson <[EMAIL PROTECTED]> > > David Hobby wrote: > > > > Alberto Monteiro wrote: > > > > > > Robert J. Chassell wrote: > > > > > > > > However, a base 12 counting system would have been much better; > > > > > > > No, it wouldn't > > > > > > Alberto Monteiro > > > > Well,

Re: Bases, was Re: Stirling engine queries

2004-03-03 Thread Julia Thompson
David Hobby wrote: > > Alberto Monteiro wrote: > > > > Robert J. Chassell wrote: > > > > > > However, a base 12 counting system would have been much better; > > > > > No, it wouldn't > > > > Alberto Monteiro > > Well, a little better. Depending how you count, you can > argue that 12 "has

Bases, was Re: Stirling engine queries

2004-03-03 Thread David Hobby
Alberto Monteiro wrote: > > Robert J. Chassell wrote: > > > > However, a base 12 counting system would have been much better; > > > No, it wouldn't > > Alberto Monteiro Well, a little better. Depending how you count, you can argue that 12 "has more factors" than 10. This must be worth