Prove

Olympiades mathématiques, énigmes et défis
Branza
Membre Naturel
Messages: 17
Enregistré le: 08 Aoû 2008, 21:22

Prove

par Branza » 12 Aoû 2008, 20:10

demnostrate that:

*pls try in english.



acoustica
Membre Irrationnel
Messages: 1043
Enregistré le: 08 Juil 2008, 10:00

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

Branza
Membre Naturel
Messages: 17
Enregistré le: 08 Aoû 2008, 21:22

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).

acoustica
Membre Irrationnel
Messages: 1043
Enregistré le: 08 Juil 2008, 10:00

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:

Branza
Membre Naturel
Messages: 17
Enregistré le: 08 Aoû 2008, 21:22

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.

acoustica
Membre Irrationnel
Messages: 1043
Enregistré le: 08 Juil 2008, 10:00

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...

Branza
Membre Naturel
Messages: 17
Enregistré le: 08 Aoû 2008, 21:22

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)

acoustica
Membre Irrationnel
Messages: 1043
Enregistré le: 08 Juil 2008, 10:00

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?

Branza
Membre Naturel
Messages: 17
Enregistré le: 08 Aoû 2008, 21:22

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.

acoustica
Membre Irrationnel
Messages: 1043
Enregistré le: 08 Juil 2008, 10:00

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.

Branza
Membre Naturel
Messages: 17
Enregistré le: 08 Aoû 2008, 21:22

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.

acoustica
Membre Irrationnel
Messages: 1043
Enregistré le: 08 Juil 2008, 10:00

par acoustica » 12 Aoû 2008, 21:12

See you later in "Maths-Forum"! :++:

Clembou
Membre Complexe
Messages: 2732
Enregistré le: 03 Aoû 2006, 11:00

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.

ThSQ
Membre Complexe
Messages: 2077
Enregistré le: 10 Oct 2007, 17:40

par ThSQ » 12 Aoû 2008, 22:00

This is Champernowne constant :

http://en.wikipedia.org/wiki/Champernowne_constant
http://mathworld.wolfram.com/ChampernowneConstant.html

Decimal digits are obviously not periodic (for instance the number of successive 0 is not bounded).

Retourner vers ⚔ Défis et énigmes

Qui est en ligne

Utilisateurs parcourant ce forum : Aucun utilisateur enregistré et 3 invités

Tu pars déja ?



Fais toi aider gratuitement sur Maths-forum !

Créé un compte en 1 minute et pose ta question dans le forum ;-)
Inscription gratuite

Identification

Pas encore inscrit ?

Ou identifiez-vous :

Inscription gratuite