From: Skouteris Dimitris (dimitris(@)impact.dyn.unipg.it)
Date: Παρ 12 Απρ 2002 - 10:58:25 EEST
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> 1. Kapia stigmi anafereis oti "Epishs to a0roisma S den mporei na einai megalutero tou 54,
> afou h lush (53, S - 53) den exei asafes ginomeno."
>
> Pos prokiptei auto? Exeis kanei kapio programma kai san apotelelesma
> pires auto to dedomeno??
Oxi. Aplws to 53 einai prwtos ari0mos, kai den exei allous diairetes. Mia lush me to idio ginomeno 0a eprepe na perilamvanei toulaxiston to 53 pollaplasiasmeno me to 2, dhladh to 106, pou einai ektos oriwn.
>
> Meso tou Excel exo ta akoloutha:
>
> Pithana A a*(x^2) b*x c D Riza 1 Riza 2
> 11 1 -11 190 -639 - -
> 17 1 -17 190 -471 - -
> 23 1 -23 190 -231 - -
> 27 1 -27 190 -31 - -
> 29 1 -29 190 81 19 10 (Lisi)
> 35 1 -35 190 465 28,3 6,7
> 37 1 -37 190 609 30,8 6,2
> 41 1 -41 190 921 35,7 5,3
> 47 1 -47 190 1449 42,5 4,5
> 53 1 -53 190 2049 49,1 3,9
>
> Etsi loipon i lisi einai to (19,10) me G = 190 kai A = 29
3exnas oti kai o A vrhke amesws tous ari0mous molis akouse 'Twra tous 3erw!' apo ton G. Auto einai *dedomeno*. An h lush htan to (19,10), o A (gnwrizontas a0roisma 29) de 0a mporouse na 3erei an h lush htan to (19,10) h mia allh lush me a0roisma 29 kai spanio ginomeno, opws p.x. to (17,12) kai de 0a elege 'Twra tous 3erw ki egw !'.
Ara o A *apokleietai* na gnwrizei to a0roisma 29.
> Gia G = 18 ews G = 702 iparxoun 85 ginomena pou exoun ena kai mono
> kalo athroisma A, simperilamvanomenou tou 52 = 4 * 13.
Kanena ek twn opoiwn omws den exei a0roisma me *ENA* mono spanio ginomeno, to opoio 0a epetrepe kai ston A na manteyei tous ari0mous...
> Ara stis 84/85(ektos tou G=52) periptoseis o G kai A
> tha exoun brei diaforetikes liseis.
Auto apokleietai apo thn koinh logikh !!!! Oi ari0moi einai oi idioi kai gia ton G kai gia ton A. O G kai o A den manteuoun, upologizoun ! An den mporoun na vroun kati, lene 'Den mporw', an omws mporoun, einai to swsto. Kai to dedomeno tou provlhmatos (pou mas ka0odhgei) einai oti mporesan.
> Esi ipostirizeis oti :
>
> "Molis o G eipe ston A 'Twra tous 3erw !', automata o A katalave
> pws to ginomeno pou gnwrizei o G einai spanio. "
Akrivws, me to sullogismo pou para0etw...
> Ego nomizo oti kateuthineis tin lisi pros ta ekei, enw den isxiei.
> Kai auto logo tou oti, an ego eimoun o G tha efarmoza to sistima
> eksisosewn, opos ekana parapano.
O G 3erei kati pou emeis den 3eroume, to ginomeno. Sumfwnw oti an to provlhma stamatouse sto 'Twra tous 3erw !' tou G, 0a eixe pollaples luseis.
Pera apo to ti ekane o G omws, uparxei ena stoixeio pou epimeneis na mhn lamvaneis upoyh sou, to oti o A mporese KAI AUTOS na vrei tous ari0mous. Tous idious me ton G. Auto shmainei oti to a0roisma pou gnwrizei tou dinei kapoies sugkekrimenes plhrofories pou apokleioun oles tis luseis peran tou (4,13).
Elpizw na apanthsa. An exeis allh aporia steile thn proswpika s' emena, na mh fortwnoume th lista...
Dimitris
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