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Quanto vale 0^0?
0
1
impossibile
indeterminato
NAN
boooooh?!??
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lallyblue
.grande:maestro.

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Dilemma Matematico

Ciao a tutti!
Mi è sorto un terribile dubbio:

quanto vale 0^0?!?

:?

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01-12-2002 12:16
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lorenzo
...ma anche no.

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Come ti avevo già detto, la funzione C pow ritorna 1 insieme a un Domain Error.

Il che non fa altro che aumentare i dubbi....

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Last edited by lorenzo on 01-12-2002 at 13:15

01-12-2002 13:13
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LazerPhEa
Vendo Steinberger GM7TA

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Re: Dilemma Matematico

Originally posted by lallyblue
Ciao a tutti!
Mi è sorto un terribile dubbio:

quanto vale 0^0?!?

:?


http://matematica.uni-bocconi.it/lo...apevateche1.htm

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01-12-2002 13:35
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lallyblue
.grande:maestro.

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ehm...allora mi sa che è una discussione infinita..... :pensa:
me la ricordavo + semplice...

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01-12-2002 13:44
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Sephirot
.grande:maestro.

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:pensa:


:teach: 1

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SEPHIROT
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01-12-2002 14:03
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mont
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fa zeroooooo....

:teach:

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prima :birrozza:
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01-12-2002 15:42
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Fatur
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Credo faccia 3, ma non ne son sicuro... :asd:

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01-12-2002 15:48
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AlphaGamma
.piano ma pieni.

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E' indeterminato.

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01-12-2002 15:50
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nous
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1

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01-12-2002 17:21
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Lunik
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ma non si dice "qualsiasi numero elevato allo 0 dà 1" ?????

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01-12-2002 17:41
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lorenzo
...ma anche no.

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Originally posted by Lunik
ma non si dice "qualsiasi numero elevato allo 0 dà 1" ?????



Sì, ma si dice anche che "0 elevato a qualsiasi numero dà 0".

Da lì il dubbio.

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01-12-2002 17:54
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Lunik
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aaahhhhh questa nn me la ricordavo...
ma cos'è? Il cane che si morde la coda questo dubbio??

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01-12-2002 17:56
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Autovelox
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Originally posted by lorenzo
Come ti avevo già detto, la funzione C pow ritorna 1 insieme a un Domain Error.

Il che non fa altro che aumentare i dubbi....


Veramente di dubbi io non ne vedo!
La funzione pow ti da Domain Error perchè va in errore!
Il fatto che ritorni 1 non conta perchè deve necessariamente ritornare un valore, ma dandoti un errore sai già che quell'uno non è il risultato, ma una cifra di default che ritorna in caso di errore. Mentre se ti dava 1 senza il Domain Error, allora 1 ne era il risultato corretto!
A questo punto sappiamo che non c'e' soluzione numerica!
Quindi il dubbio è tra indeterminato e impossibile.
A mio avviso è strano che una potenza sia impossibile, quindi ho votato per indeterminato.

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01-12-2002 19:09
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Autovelox
Il Supremo

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Re: Dilemma Matematico

Originally posted by lallyblue
Ciao a tutti!
Mi è sorto un terribile dubbio:

quanto vale 0^0?!?

:?


Prova a mandare una mail a Zanco o a Massa!

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01-12-2002 19:11
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Renaulto
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Ha ragione Alphagamma, e' indeterminato.

In quanto 5^2 / 5^2 = 1
usando le proprietà delle potenze fa 5 elevato alla (2-2 = 0), cioè 5^0 = 1
quindi:
5^2 / 5^2 = 5^0

Nel caso di base = 0 questo non può succedere perchè otterresti
0^2 / 0^2 = 0 / 0 = 0^0
ma la divisione per 0 in algebra non è ammessa.

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Last edited by Renaulto on 01-12-2002 at 22:15

01-12-2002 22:01
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