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As you really ought to know, a domino is a tile with two numbers printed
on it. Aside from the fact that people try balancing them and then
knocking them over, you can play various games that involve arranging
dominos end-to-end such that adjacent ends have identical numbers. But
given a limited number of dominos, there is presumably only a certain
number of ways of doing this.
Now it really sounds like there ought to be a mathematical theory
underlying this idea. But I have no clue what it's called...
--
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*
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Orchid XP v8 wrote:
> As you really ought to know, a domino is a tile with two numbers printed
> on it. Aside from the fact that people try balancing them and then
> knocking them over, you can play various games that involve arranging
> dominos end-to-end such that adjacent ends have identical numbers. But
> given a limited number of dominos, there is presumably only a certain
> number of ways of doing this.
>
> Now it really sounds like there ought to be a mathematical theory
> underlying this idea. But I have no clue what it's called...
It falls somewhere within number theory.
Regards,
John
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>> Now it really sounds like there ought to be a mathematical theory
>> underlying this idea. But I have no clue what it's called...
>
> It falls somewhere within number theory.
Really? I thought number theory was only concerned with questions of
prime numbers and modular arithmetic...
--
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*
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Am 31.07.2010 22:39, schrieb Orchid XP v8:
> As you really ought to know, a domino is a tile with two numbers printed
> on it. Aside from the fact that people try balancing them and then
> knocking them over, you can play various games that involve arranging
> dominos end-to-end such that adjacent ends have identical numbers. But
> given a limited number of dominos, there is presumably only a certain
> number of ways of doing this.
>
> Now it really sounds like there ought to be a mathematical theory
> underlying this idea. But I have no clue what it's called...
That would be combinatorics.
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>> Now it really sounds like there ought to be a mathematical theory
>> underlying this idea. But I have no clue what it's called...
>
> That would be combinatorics.
Hmm, yes... that sounds plausible.
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Orchid XP v8 <voi### [at] dev null> wrote:
> Really? I thought number theory was only concerned with questions of
> prime numbers and modular arithmetic...
Yeah, an entire field of mathematics, which is confinded to studying only
prime numbers and modular arithmetic.
Can you count how many topics of number theory there are here?
http://en.wikipedia.org/wiki/List_of_number_theory_topics
(And that's only the topics for which there are individual wikipedia
articles.)
--
- Warp
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>> Really? I thought number theory was only concerned with questions of
>> prime numbers and modular arithmetic...
>
> Yeah, an entire field of mathematics, which is confinded to studying only
> prime numbers and modular arithmetic.
>
> Can you count how many topics of number theory there are here?
> http://en.wikipedia.org/wiki/List_of_number_theory_topics
OK, so I forgot Diophantine equations (which are admittedly a pretty
large area).
I didn't say number theory is small. I said it only covers certain topics.
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Invisible <voi### [at] devnull> wrote:
> > Can you count how many topics of number theory there are here?
> > http://en.wikipedia.org/wiki/List_of_number_theory_topics
> OK, so I forgot Diophantine equations (which are admittedly a pretty
> large area).
And combinatorics, fractions, finite and infinite sequences and series,
L-functions, etc...
--
- Warp
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>>> Can you count how many topics of number theory there are here?
>>> http://en.wikipedia.org/wiki/List_of_number_theory_topics
>
>> OK, so I forgot Diophantine equations (which are admittedly a pretty
>> large area).
>
> And combinatorics, fractions, finite and infinite sequences and series,
> L-functions, etc...
It's news to me that combinatorics is related to number theory.
A fraction is merely a pair of coprime numbers. (So, prime numbers and
divisibility again then...)
My number theory book doesn't mention anything about series, finite or not.
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Invisible wrote:
> My number theory book doesn't mention anything about series, finite or not.
That would appear to be a problem with your number theory book.
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