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[SPAM] [obm-l] RES: [obm-l] complexos_demonstração

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|( 1 + i)z^3 + i z | <=3D   |( 1 + i)z^3| + |iz| =3D |1 + i| |z|^3 + |i| =
|z| =3D sqrt(2) |z|^3 + |z| < sqrt(2) (1/8) + 1/2 =3D (sqrt(2) + 4)/8 < =
(2 +4)/8 =3D 6/8 =3D 3/4
Artur

-----Mensagem original-----
De: owner-obm-l@xxxxxxxxxxxxxx [mailto:owner-obm-l@xxxxxxxxxxxxxx]Em =
nome de Ney Falcao
Enviada em: quinta-feira, 29 de novembro de 2007 20:56
Para: obm-l@xxxxxxxxxxxxxx
Assunto: [obm-l] complexos_demonstra=E7=E3o


Ol=E1 pessoal,
=20
Poderiam me ajudar com mais esta?
=20
Sendo |z|<1/2 e fazendo uso da desigualdade triangular, |z1 + z2| < |z1| =
+ |z2|, mostre que:
|(1 + i)z=B3 + iz| < 3/4
=20
Agrade=E7o antecipadamente.
Ney
=20


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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META HTTP-EQUIV=3D"Content-Type" CONTENT=3D"text/html; =
charset=3Diso-8859-1">


<META content=3D"MSHTML 6.00.6000.16481" name=3DGENERATOR></HEAD>
<BODY>
<DIV><SPAN class=3D705141913-30112007><FONT face=3DArial color=3D#0000ff =
size=3D2>|( 1 +=20
i)z^3 + i z | &lt;=3D&nbsp;&nbsp;&nbsp;<SPAN =
class=3D705141913-30112007><FONT=20
face=3DArial color=3D#0000ff size=3D2>|( 1 + i)z^3| + |iz| =3D |1 + i| =
|z|^3&nbsp;+ |i|=20
|z| =3D sqrt(2) |z|^3 + |z| &lt; sqrt(2) (1/8) + 1/2 =3D (sqrt(2) + =
4)/8&nbsp;&lt;=20
(2 +4)/8 =3D 6/8 =3D 3/4</FONT></SPAN></FONT></SPAN></DIV>
<DIV><SPAN class=3D705141913-30112007><FONT face=3DArial color=3D#0000ff =
size=3D2><SPAN=20
class=3D705141913-30112007>Artur</SPAN></FONT></SPAN></DIV>
<BLOCKQUOTE dir=3Dltr style=3D"MARGIN-RIGHT: 0px">
  <DIV class=3DOutlookMessageHeader dir=3Dltr align=3Dleft><FONT =
face=3DTahoma=20
  size=3D2>-----Mensagem original-----<BR><B>De:</B> =
owner-obm-l@xxxxxxxxxxxxxx=20
  [mailto:owner-obm-l@xxxxxxxxxxxxxx]<B>Em nome de </B>Ney =
Falcao<BR><B>Enviada=20
  em:</B> quinta-feira, 29 de novembro de 2007 20:56<BR><B>Para:</B>=20
  obm-l@xxxxxxxxxxxxxx<BR><B>Assunto:</B> [obm-l]=20
  complexos_demonstra=E7=E3o<BR><BR></FONT></DIV>
  <DIV>Ol=E1 pessoal,</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>Poderiam me ajudar com mais esta?</DIV>
  <DIV>&nbsp;</DIV>
  <DIV><FONT color=3D#000099 size=3D4><EM>Sendo |z|&lt;1/2 e fazendo uso =
da=20
  desigualdade triangular, |z1 + z2| &lt; |z1| + |z2|, mostre=20
  que:</EM></FONT></DIV>
  <DIV><FONT color=3D#000099 size=3D4><EM>|(1 + i)z=B3 + iz| &lt;=20
3/4</EM></FONT></DIV>
  <DIV>&nbsp;</DIV>
  <DIV>Agrade=E7o antecipadamente.</DIV>
  <DIV>Ney</DIV>
  <DIV>&nbsp;</DIV></BLOCKQUOTE></BODY></HTML>

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