From: Vaggelis Kapoulas (kapoulas(@)cti.gr)
Date: Τετ 06 Δεκ 2000 - 11:18:44 EET
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Giorgos Pallas wrote:
>
> etsi pos to theteis exeis dikio.
H ermnveia pou edwse o "traboukos" eivai autn pou prwtn nr9e kai sto diko mou mualo. Afou sto problnma _dev avaferetai safws_ pws to kalpiko eivai barutero n elafrutero eivai logiko va upo9esoume oti auto dev to 3eroume.
Pavtws o "traboukos" dev exei evtelws dikio. (deite parakatw)
> eprepe aplos na eimai ligo poio safis.
> Genika kserontas an to kalpiko einai baritero i elafrytero
> me n zygiseis
> mporoume na ksetryposoume to kalpiko apo 3^n nomismata.
Kai auto swsto, alla opws eipa dev ntav (kata tn gvwmn mou) autn n profavns ermnveia tou problnmatos.
> gpall
>
>
> trabukos wrote:
>
> > 39 kai epimenw
> > Fysika ama milame gia to idio porblima
> >
> > Exoume ena zygo kai kapoio nomismata pou mono ena einai
> > to kalpiko xoris na
> > 3eroume an einai baritero i elafritero. Apla de zigizei
> > to idio me ta
> > aknonika.
> >
> > Tote se N zygiseis mporoume na zygisoume (3/2)*[3^(n-1)-1]
> > nomismata.
Gia tnv akribeia me N zugiseis mporoume va 3exwrisoume eva kalpiko vomisma avamesa apo (3/2)*[3^(N-1)-1] = = (3^N-3)/2 vomismata _kai va ma9oume av eivai barutero n elafrutero_
Epeidn omws n ekfwvnsn (av 9umamai kala) dev zntouse to teleutaio, eivai logiko va upo9esoume oti dev xreiazetai va ma9oume telika av to kalpiko eivai barutero n elafrutero. Se autn tnv periptwsn mporoume va 3exwrisoume eva kalpiko vomisma avamesa apo (3/2)*[3^(N-1)-1]+1 = (3^N-3)/2+1 vomismata. Dnladn eva parapavw apo prongoumevws.
> > Gia na to dikaiologisw apaitei arketo grapsimo.
Paromoiws, alla av zntn9ei 9a dw ti mporw va kavw.
Filika,
Baggelns
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