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[SPAM] Re: [obm-l] sistema de equaçoes polinomiais

To: obm-l@xxxxxxxxxxxxxx
Subject: [SPAM] Re: [obm-l] sistema de equaçoes polinomiais
From: "Alexandre Gonçalves" <tico.goncalves@xxxxxxxxx>
Date: Fri, 1 Feb 2008 13:28:09 -0200
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Bom, eu buscava uma referencia, pois nao sei muito bem a generalidade que
preciso. Mas vou tentar formular o problema de forma mais especifica.

Considere um sistema de polinomios de duas icognitas e duas equacoes da
forma

a0 + a1x + a2y + a3xy + a4x^2 + a5y^2 + a6x^2y + a7xy^2 + a8x^3 + a9y^3 =3D=
 0
b0 + b1x + b2y + b3xy + b4x^2 + b5y^2 + b6x^2y + b7xy^2 + b8x^3 + b9y^3 =3D=
 0

Sao todas as combinacoes de x y com soma dos expoentes <=3D 3

Que restri=E7oes ou condi=E7oes poderiam ser colocados nos coeficientes ai =
e bi
(i =3D 0,1...9) para que eu tenha certeza que existe pelo menos uma solu=E7=
ao
real para o sistema.

referencias sobre o tema ajudariam tambem.

Obrigado

Tico



Em 31/01/08, flnlucatelli . <flnlucatelli@xxxxxxxxx> escreveu:
>
> MOSTRA O SISTEMA, pois n=E4o h=E1 uma f=F3rmula m=E1gica para resolver to=
dos
> com as caracter=EDsticas que voc=EA forneceu!
> QUAL =E9 o sistema?
>
> 2008/1/29, Alexandre Gon=E7alves <tico.goncalves@xxxxxxxxx>:
> > Ola!
> >
> > Encontrei um sistema de equa=E7oes polinomiais em varias variaveis cujo
> grau
> > mais alto e 5, e estou interessado na existencia de solucoes reais dest=
e
> > sistema. Alguem conhece alguma referencia ou teorema que possa me
> ajudar...
> >
> > Obrigado
> >
> > Tico
> >
>
> =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
> =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
>

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Bom, eu buscava uma referencia, pois nao sei muito bem a generalidade que p=
reciso. Mas vou tentar formular o problema de forma mais especifica.<br><br=
>Considere um sistema de polinomios de duas icognitas e duas equacoes da fo=
rma<br>
<br>a0 + a1x + a2y + a3xy + a4x^2 + a5y^2 + a6x^2y +  a7xy^2 + a8x^3 + a9y^=
3 =3D 0<br>b0 + b1x + b2y + b3xy + b4x^2 + b5y^2 + b6x^2y + b7xy^2 + b8x^3 =
+ b9y^3 =3D 0<br><br>Sao todas as combinacoes de x y com soma dos expoentes=
 &lt;=3D 3<br>
<br>Que restri=E7oes ou condi=E7oes poderiam ser colocados nos coeficientes=
 ai e bi (i =3D 0,1...9) para que eu tenha certeza que existe pelo menos um=
a solu=E7ao real para o sistema.<br><br>referencias sobre o tema ajudariam =
tambem.<br>
<br>Obrigado<br><br>Tico<br><br><br><br><div><span class=3D"gmail_quote">Em=
 31/01/08, <b class=3D"gmail_sendername">flnlucatelli .</b> &lt;<a href=3D"=
mailto:flnlucatelli@xxxxxxxxx";>flnlucatelli@xxxxxxxxx</a>&gt; escreveu:</sp=
an><blockquote class=3D"gmail_quote" style=3D"border-left: 1px solid rgb(20=
4, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;">
MOSTRA O SISTEMA, pois n=E4o h=E1 uma f=F3rmula m=E1gica para resolver todo=
s<br>com as caracter=EDsticas que voc=EA forneceu!<br>QUAL =E9 o sistema?<b=
r><br>2008/1/29, Alexandre Gon=E7alves &lt;<a href=3D"mailto:tico.goncalves=
@gmail.com">tico.goncalves@xxxxxxxxx</a>&gt;:<br>
&gt; Ola!<br>&gt;<br>&gt; Encontrei um sistema de equa=E7oes polinomiais em=
 varias variaveis cujo grau<br>&gt; mais alto e 5, e estou interessado na e=
xistencia de solucoes reais deste<br>&gt; sistema. Alguem conhece alguma re=
ferencia ou teorema que possa me ajudar...<br>
&gt;<br>&gt; Obrigado<br>&gt;<br>&gt; Tico<br>&gt;<br><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>Instru=E7=F5es pa=
ra entrar na lista, sair da lista e usar a lista em<br><a href=3D"http://ww=
w.mat.puc-rio.br/~obmlistas/obm-l.html">http://www.mat.puc-rio.br/~obmlista=
s/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>

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