David Roe <r...@math.harvard.edu> writes:

> It's possible that you're using html or some other markup in your e-mail
> that some of us using text-based clients aren't getting.  

Huh? I don't understand, who are you adressing?  I'm using Gnus, which
is unlikely to insert any tabs or markup.

> The main problem with the way your message appears for me is that the
> exponents are not paired with their bases.  It's totally unreadable.  Whereas
> many mathematicians can read LaTeX without compiling it.  :-)

I sure can read human generated LaTeX, but I'm too lazy to convert a degree 4
order 4 diffeq with 10 monomials to LaTeX myself.  If you prefer (La)TeX, below
it is.

Martin

\begin{equation}
\left[
{{\left[ x \sp n 
\right]}{f
\left(
{x} 
\right)}
\mbox{\rm : } {{{{x \sp 2} \  {{f 
\left(
{x} 
\right)}
\sp 3} \  {{f \sb {{\ }} \sp {{\left( iv 
\right)}}}
\left(
{x} 
\right)}}+{{\left(
{{20} \  {x \sp 2} \  {{f 
\left(
{x} 
\right)}
\sp 2} \  {{f \sb {{\ }} \sp {,}} 
\left(
{x} 
\right)}}+{5
\  x \  {{f 
\left(
{x} 
\right)}
\sp 3}} 
\right)}
\  {{f \sb {{\ }} \sp {,,,}} 
\left(
{x} 
\right)}}
-{{39} \  {x \sp 2} \  {{f 
\left(
{x} 
\right)}
\sp 2} \  {{{f \sb {{\ }} \sp {,,}} 
\left(
{x} 
\right)}
\sp 2}}+{{\left( {{12} \  {x \sp 2} \  {f 
\left(
{x} 
\right)}
\  {{{f \sb {{\ }} \sp {,}} 
\left(
{x} 
\right)}
\sp 2}} -{{15} \  x \  {{f 
\left(
{x} 
\right)}
\sp 2} \  {{f \sb {{\ }} \sp {,}} 
\left(
{x} 
\right)}}+{4
\  {{f 
\left(
{x} 
\right)}
\sp 3}} 
\right)}
\  {{f \sb {{\ }} \sp {,,}} 
\left(
{x} 
\right)}}+{6
\  {x \sp 2} \  {{{f \sb {{\ }} \sp {,}} 
\left(
{x} 
\right)}
\sp 4}}+{{10} \  x \  {f 
\left(
{x} 
\right)}
\  {{{f \sb {{\ }} \sp {,}} 
\left(
{x} 
\right)}
\sp 3}} -{{16} \  {{f 
\left(
{x} 
\right)}
\sp 2} \  {{{f \sb {{\ }} \sp {,}} 
\left(
{x} 
\right)}
\sp 2}}}=0}}, \: {{f 
\left(
{x} 
\right)}={1+x+{2
\  {x \sp 2}}+{3 \  {x \sp 3}}+{O 
\left(
{{x \sp 4}} 
\right)}}}
\right]
\end{equation}



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