From: Dimitrios Bartzos (bartzos(@)ece.rutgers.edu)
Date: Δευ 23 Αυγ 1999 - 23:12:06 EEST
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Akolou0ei h apanthsh sto quiz, de fainetai na kinhse arketo endiaferon
isws giati, eixa kanei ena mikro la0aki sto text version, opws fainetai
parakatw:
> ---------------------------------------------------------------------
>
> Ti einai la0os sthn parakatw apodeiksh?
>
> Protash: Gia ka0e 0etiko akeraio ari0mo, isxuei: a^(n-1)=1
>
> Apodeiksh me teleia ma0hmatikh epagwgh:
>
> Gia n=1 alh0es, afou: a^(1-1)=a^0=1
>
> Estw oti isxuei gia n=k (ara a^(k-1)=1), 0'apodeiksoume oti isxuei
> gia n=k:
^^^^
Profanws ennoousa gia n=k+1
> a^(2k-2) a^(k-1).a^(k-1) 1.1
> a^[(k+1)-1] = a^k = --------- = --------------- = ---- = 1
> a^(k-2) a^[(k-1)-1] 1
> ^^^^^^^^^^^ ^
To la0os brisketai ekei: a^[(k-1)-1] den einai iso me [a^(k-1)]^-1 pou pragmati 0a ekane 1, alla einai a^(k-1)*a^(-1) = a^(-1)
kai mono sthn eidikh periptwsh opou to a=1, alh0euei fusika kai h protash.
Swstes apanthseis esteilan oi:
John Kerkines kai
Tina Katelani
Dimitris.
Quiz of the Day ... Ελληνική Λίστα με σπαζοκεφαλιές ... και άλλα ... Πληροφορίες --> https://anekdota.duckdns.org/quiz_list.html
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