[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
[SPAM] Re: [obm-l] Inteiros!!!
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: (6.60 hits, 5 required)
SPAM: IN_REP_TO (-0.8 points) Found a In-Reply-To header
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: FROM_ENDS_IN_NUMS (0.9 points) From: ends in numbers
SPAM: SPAM_PHRASE_00_01 (0.8 points) BODY: Spam phrases score is 00 to 01 (low)
SPAM: QUOTED_EMAIL_TEXT (-0.8 points) BODY: Contains what looks like a quoted email text
SPAM: MAILTO_LINK (0.2 points) BODY: Includes a URL link to send an email
SPAM: MIME_EXCESSIVE_QP (1.0 points) RAW: Excessive quoted-printable encoding in body
SPAM: MAILTO_TO_SPAM_ADDR (0.7 points) URI: Includes a link to a likely spammer email address
SPAM: RCVD_IN_MULTIHOP_DSBL (0.8 points) RBL: Received via a relay in multihop.dsbl.org
SPAM: [RBL check: found 181.166.233.64.multihop.dsbl.org]
SPAM: RCVD_IN_ORBS (2.2 points) RBL: Received via a relay in orbs.dorkslayers.com
SPAM: [RBL check: found 181.166.233.64.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 181.166.233.64.relays.osirusoft.com.]
SPAM: X_OSIRU_OPEN_RELAY (2.7 points) RBL: DNSBL: sender is Confirmed Open Relay
SPAM: PLING_PLING (1.5 points) Subject has lots of exclamation marks
SPAM: AWL (-2.2 points) AWL: Auto-whitelist adjustment
SPAM:
SPAM: -------------------- End of SpamAssassin results ---------------------
------=_Part_10968_5601080.1207489607400
Content-Type: text/plain; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable
Content-Disposition: inline
Falou nobre amigo, que Deus continue lhe dando sabedoria...
Abra=E7os
2008/4/4 Paulo Santa Rita <paulo.santarita@xxxxxxxxx>:
> Ola Pedro e demais
> colegas desta lista ... OBM-L,
>
> Obviamente que todo par (X,Y) da forma (X,-X) e solucao, pois :
> X^3 + (-X)^3 =3D 0 =3D (X+(-X))/2. Em particular, (0,0) e solucao.
>
> Se, porem, X+Y # 0, teremos :
> X^3 + Y^3 =3D (X+Y)*(X^2 -XY + Y^2) =3D (X+Y)/2. =3D> X^2 - XY + Y^2 =3D =
1/2
> =3D> (X-Y)^2 =3D - (X^2 +Y^2) .
> A possibilidade aqui, logicamente, e : X-Y=3D0 e X^2+Y^2 =3D 0. Mas isso
> da (X,Y)=3D(0,0)
> o que contraria a hipotese X+Y # 0
>
> Assim, todas as solucoes inteiras sao {(X,-X) / X e inteiro }
>
> Um Abracao a Todos
> Paulo Santa Rita
> 6,0A2D,040408
>
> 2008/4/4 Pedro J=FAnior <pedromatematico06@xxxxxxxxx>:
> > 02. Ache todos os pares tais de n=FAmeros inteiros (x, y) tais que:
> > x^3 + y^3 =3D (x + y)^2
>
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
> Instru=E7=F5es para entrar na lista, sair da lista e usar a lista em
> http://www.mat.puc-rio.br/~obmlistas/obm-l.html<http://www.mat.puc-rio.br=
/%7Eobmlistas/obm-l.html>
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
>
------=_Part_10968_5601080.1207489607400
Content-Type: text/html; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable
Content-Disposition: inline
Falou nobre amigo, que Deus continue lhe dando sabedoria...<br>Abra=E7os<br=
><br><br><div class=3D"gmail_quote">2008/4/4 Paulo Santa Rita <<a href=
=3D"mailto:paulo.santarita@xxxxxxxxx";>paulo.santarita@xxxxxxxxx</a>>:<br=
><blockquote class=3D"gmail_quote" style=3D"border-left: 1px solid rgb(204,=
204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;">
Ola Pedro e demais<br>
colegas desta lista ... OBM-L,<br>
<br>
Obviamente que todo par (X,Y) da forma (X,-X) e solucao, pois :<br>
X^3 + (-X)^3 =3D 0 =3D (X+(-X))/2. Em particular, (0,0) e solucao.<br=
>
<br>
Se, porem, X+Y # 0, teremos :<br>
X^3 + Y^3 =3D (X+Y)*(X^2 -XY + Y^2) =3D (X+Y)/2. =3D> X^2 - XY + Y^2 =3D=
1/2<br>
=3D> (X-Y)^2 =3D - (X^2 +Y^2) .<br>
A possibilidade aqui, logicamente, e : X-Y=3D0 e X^2+Y^2 =3D 0. Mas i=
sso<br>
da (X,Y)=3D(0,0)<br>
o que contraria a hipotese X+Y # 0<br>
<br>
Assim, todas as solucoes inteiras sao {(X,-X) / X e inteiro }<br>
<br>
Um Abracao a Todos<br>
Paulo Santa Rita<br>
6,0A2D,040408<br>
<br>
2008/4/4 Pedro J=FAnior <<a href=3D"mailto:pedromatematico06@xxxxxxxxx";>=
pedromatematico06@xxxxxxxxx</a>>:<br>
<div class=3D"Ih2E3d">> 02. Ache todos os pares tais de n=FAmeros inteir=
os (x, y) tais que:<br>
> x^3 + y^3 =3D (x + y)^2<br>
<br>
</div>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
<br>
Instru=E7=F5es para entrar na lista, sair da lista e usar a lista em<br>
<a href=3D"http://www.mat.puc-rio.br/%7Eobmlistas/obm-l.html"; target=3D"_bl=
ank">http://www.mat.puc-rio.br/~obmlistas/obm-l.html</a><br>
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D<br>
</blockquote></div><br>
------=_Part_10968_5601080.1207489607400--
=========================================================================
Instruções para entrar na lista, sair da lista e usar a lista em
http://www.mat.puc-rio.br/~obmlistas/obm-l.html
=========================================================================