[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
[SPAM] [obm-l] Re: [obm-l] Provar que é quadrado perfeito
SPAM: -------------------- Start SpamAssassin results ----------------------
SPAM: This mail is probably spam. The original message has been altered
SPAM: so you can recognise or block similar unwanted mail in future.
SPAM: See http://spamassassin.org/tag/ for more details.
SPAM:
SPAM: Content analysis details: (5.80 hits, 5 required)
SPAM: REFERENCES (-0.5 points) Has a valid-looking References header
SPAM: X_MAILING_LIST (-0.3 points) Found a X-Mailing-List header
SPAM: USER_AGENT_OE (0.2 points) X-Mailer header indicates a non-spam MUA (Outlook Express)
SPAM: SPAM_PHRASE_00_01 (0.8 points) BODY: Spam phrases score is 00 to 01 (low)
SPAM: HTML_FONT_COLOR_BLUE (0.2 points) BODY: HTML font color is blue
SPAM: MAILTO_LINK (0.2 points) BODY: Includes a URL link to send an email
SPAM: RCVD_IN_ORBS (2.2 points) RBL: Received via a relay in orbs.dorkslayers.com
SPAM: [RBL check: found 219.39.76.201.orbs.dorkslayers.com., type: 68.178.232.99]
SPAM: RCVD_IN_OSIRUSOFT_COM (0.4 points) RBL: Received via a relay in relays.osirusoft.com
SPAM: [RBL check: found 219.39.76.201.relays.osirusoft.com.]
SPAM: X_OSIRU_OPEN_RELAY (2.7 points) RBL: DNSBL: sender is Confirmed Open Relay
SPAM: AWL (-0.1 points) AWL: Auto-whitelist adjustment
SPAM:
SPAM: -------------------- End of SpamAssassin results ---------------------
This is a multi-part message in MIME format.
------=_NextPart_000_0013_01C87365.1B7B0F80
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
Ol=E1
Fa=E7a (3 + raiz(8))^n + (3 - raiz(8))^n - 2 =3D k. k tem que ser =
inteiro para n =EDmpar.
Substituindo: t=3D(3 + raiz(8))^n e multiplicando por t a equa=E7=E3o:
t=B2 - (k+2)t + 1=3D0. Agora isola o t. Pra qualquer n, t =E9 da forma =
a+b*raiz(2), a e b inteiros...
A partir disso acho que eu consegui mostrar que k =E9 quadrado perfeito. =
Veja se da certo ai.
Abra=E7os
----- Original Message -----=20
From: Artur Costa Steiner=20
To: obm-l@xxxxxxxxxxxxxx=20
Sent: Tuesday, February 19, 2008 3:34 PM
Subject: [obm-l] Provar que =E9 quadrado perfeito
Gostaria que algu=E9m desse alguma sugest=E3o para isto:
Mostre que, para todo n =EDmpar positivo, (3 + raiz(8))^n + (3 - =
raiz(8))^n - 2 eh um quadrado perfeito.
Abracos
Artur
------=_NextPart_000_0013_01C87365.1B7B0F80
Content-Type: text/html;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 6.00.2900.3268" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Ol=E1</FONT></DIV>
<DIV><FONT size=3D2><FONT face=3DArial>Fa=E7a<FONT color=3D#0000ff> =
</FONT><FONT=20
color=3D#000000>(3 + raiz(8))^n + (3 - raiz(8))^n - 2 =3D k. =
k tem que=20
ser inteiro para n =EDmpar.</FONT></FONT></FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Substituindo: t=3D(3 + raiz(8))^n e =
multiplicando por=20
t a equa=E7=E3o:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>t=B2 - (k+2)t + 1=3D0. Agora isola o t. =
Pra qualquer n,=20
t =E9 da forma a+b*raiz(2), a e b inteiros...</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>A partir disso acho que eu consegui =
mostrar que k =E9=20
quadrado perfeito. Veja se da certo ai.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Abra=E7os</FONT></DIV>
<BLOCKQUOTE dir=3Dltr=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV=20
style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
<A title=3Dartur.steiner@xxxxxxxxxx =
href=3D"mailto:artur.steiner@xxxxxxxxxx";>Artur=20
Costa Steiner</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>To:</B> <A =
title=3Dobm-l@xxxxxxxxxxxxxx=20
href=3D"mailto:obm-l@xxxxxxxxxxxxxx";>obm-l@xxxxxxxxxxxxxx</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Tuesday, February 19, =
2008 3:34=20
PM</DIV>
<DIV style=3D"FONT: 10pt arial"><B>Subject:</B> [obm-l] Provar que =E9 =
quadrado=20
perfeito</DIV>
<DIV><FONT face=3DArial size=3D2></FONT><BR></DIV>
<DIV><FONT face=3DArial color=3D#0000ff size=3D2><SPAN=20
class=3D983123218-19022008>Gostaria que algu=E9m desse alguma =
sugest=E3o para=20
isto:</SPAN></FONT></DIV>
<DIV><FONT face=3DArial color=3D#0000ff size=3D2><SPAN=20
class=3D983123218-19022008></SPAN></FONT> </DIV>
<DIV><FONT face=3DArial color=3D#0000ff size=3D2><SPAN=20
class=3D983123218-19022008>Mostre que, para todo n =EDmpar positivo, =
(3 +=20
raiz(8))^n + (3 - raiz(8))^n - 2 eh um quadrado=20
perfeito.</SPAN></FONT></DIV>
<DIV><FONT face=3DArial color=3D#0000ff size=3D2><SPAN=20
class=3D983123218-19022008></SPAN></FONT> </DIV>
<DIV><FONT face=3DArial color=3D#0000ff size=3D2><SPAN=20
class=3D983123218-19022008>Abracos</SPAN></FONT></DIV>
<DIV><FONT face=3DArial color=3D#0000ff size=3D2><SPAN=20
=
class=3D983123218-19022008>Artur</SPAN></FONT></DIV></BLOCKQUOTE></BODY><=
/HTML>
------=_NextPart_000_0013_01C87365.1B7B0F80--
=========================================================================
Instruções para entrar na lista, sair da lista e usar a lista em
http://www.mat.puc-rio.br/~obmlistas/obm-l.html
=========================================================================