Prove
Olympiades mathématiques, énigmes et défis
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Branza
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par Branza » 12 Aoû 2008, 20:10
demnostrate that:

*pls try in english.
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acoustica
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par acoustica » 12 Aoû 2008, 20:16
Branza a écrit:demnostrate that:

*pls try in english.
In french, we say an "universe number", so there is no periodic serie of numbers. In fact, if want to have "54400012646781100078765557", you can, as for every serie of numbers.
For the demonstration, you can have how many "0" one after the other that you want
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Branza
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par Branza » 12 Aoû 2008, 20:28
acoustica a écrit:In french, we say an "universe number", so there is no periodic serie of numbers. In fact, if want to have "54400012646781100078765557", you can, as for every serie of numbers.
For the demonstration, you can have how many "0" as you want. :happy2:
If i understand what you wrote goodly then i say that the problem have not solution.
*i saw the problem into the book and the auther precise that the problem have solution(demonstration).
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acoustica
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par acoustica » 12 Aoû 2008, 20:36
Branza a écrit:If i understand what you wrote goodly then i say that the problem have not solution.
*i saw the problem into the book and the auther precise that the problem have solution(demonstration).
I changed slightly what I've written. Is it better? :happy2:
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Branza
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par Branza » 12 Aoû 2008, 20:41
acoustica a écrit:I changed slightly what I've written. Is it better? :happy2:
from what u wrote i understand that any number that not have any periodic figure then the number in R/Q.
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acoustica
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par acoustica » 12 Aoû 2008, 20:49
Branza a écrit:from what u wrote i understand that any number that not have any periodic figure then the number in R/Q.
Yes. Just a queston: when you write R/Q, it is R but not Q?
If it is so, that is i've said: if n is a number of Q, then, you can find p and q of N, so that

and n has a periodic writing:
n=a,bcd...bcd...bcd, or just n=a,bbbb... or a=a,bcbcbc...
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Branza
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par Branza » 12 Aoû 2008, 20:51
acoustica a écrit:Yes. Just a queston: when you write R/Q, it is R but not Q?
If it is so, that is i've said: if n is a number of Q, then, you can find p and q of N, so that

and n has a periodic writing.
In romania we say that a number not in Q but in R exemple sqrt(2)
this category of number we say that the are I(irational)
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acoustica
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par acoustica » 12 Aoû 2008, 20:52
Branza a écrit:In romania we say that a number not in Q but in R exemple sqrt(2)
this category of number we say that the are I(irational)
OK :happy2:
Everything is alright?
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Branza
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par Branza » 12 Aoû 2008, 20:54
acoustica a écrit:OK :happy2:
Everything is alright?
yes but yest i think that the solution is very short.
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acoustica
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par acoustica » 12 Aoû 2008, 20:56
Branza a écrit:yes but yest i think that the solution is very short.
Yes, the idea is quite short. It's more difficult to explain with a clean demonstration.
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Branza
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par Branza » 12 Aoû 2008, 20:57
acoustica a écrit:Yes, the idea is quite short. It's more difficult to explain with a clear demonstration.
thank you very much for you contribution.a appreciate that ehat you done.
thanks again.
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acoustica
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par acoustica » 12 Aoû 2008, 21:12
See you later in "Maths-Forum"! :++:
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Clembou
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par Clembou » 12 Aoû 2008, 21:40
Branza a écrit:thank you very much for you contribution.a appreciate that ehat you done.
thanks again.
Your problem is "proove that 0,1234567891011... is irrational". And the answers is because that number have a infinite periodic development.
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