> Good morning,

> I was working about additive splitting of integer
> polynomials and fell upon this equality:
> 4a^4 + b^4 = {a^2+(a+b)^2}.{a^2+(a -b)^2}...

> Best regards,
> Alain

> On Nov 9, 3:35 am, "alainvergh...@gmail.com" <alainvergh...@gmail.com>
> wrote:

> > Good morning,

> > I was working about additive splitting of integer
> > polynomials and fell upon this equality:
> > 4a^4 + b^4 = {a^2+(a+b)^2}.{a^2+(a -b)^2}...

> > Best regards,
> > Alain

> I was working on equations which reveal to the contemplator deep
> meanings of space, time and affinity and fell upon this equation:

> 1 = 1

> But then, that's just me.

> On 9 nov, 10:48, Don Stockbauer <don.stockba...@gmail.com> wrote:

> > On Nov 9, 3:35 am, "alainvergh...@gmail.com" <alainvergh...@gmail.com>
> > wrote:

> > > Good morning,

> > > I was working about additive splitting of integer
> > > polynomials and fell upon this equality:
> > > 4a^4 + b^4 = {a^2+(a+b)^2}.{a^2+(a -b)^2}...

> > > Best regards,
> > > Alain

> > I was working on equations which reveal to the contemplator deep
> > meanings of space, time and affinity and fell upon this equation:

> > 1 = 1

> > But then, that's just me.

> Bonjour,

> are sure that "1 = 1 " is an equation?

> alain

alainvergh...@gmail.com <alainvergh...@gmail.com> wrote:

> alainvergh...@gmail.com <alainvergh...@gmail.com> wrote:

> # Good morning,
> #
> # I was working about additive splitting of integer
> # polynomials and fell upon this equality:
> # 4a^4 + b^4 = {a^2+(a+b)^2}.{a^2+(a -b)^2}...
> #

> This is commonly known as Sophie Germain's Identity;
> see for instance

>  http://en.wikipedia.org/wiki/Sophie_Germain

> (the paragraph on her contributions to number theory).

> --Gerhard

> ___________________________________________________________
> Gerhard J. Woeginger      http://www.win.tue.nl/~gwoegi/

gwo...@figipc78.tu-graz.ac.at (GJ Woeginger) writes:
> alainvergh...@gmail.com <alainvergh...@gmail.com> wrote:
> # Good morning,
> #
> # I was working about additive splitting of integer
> # polynomials and fell upon this equality:
> # 4a^4 + b^4 = {a^2+(a+b)^2}.{a^2+(a -b)^2}...

> This is commonly known as Sophie Germain's Identity;

> gwo...@figipc78.tu-graz.ac.at (GJ Woeginger) writes:
> > alainvergh...@gmail.com <alainvergh...@gmail.com> wrote:
> > # Good morning,
> > #
> > # I was working about additive splitting of integer
> > # polynomials and fell upon this equality:
> > # 4a^4 + b^4 = {a^2+(a+b)^2}.{a^2+(a -b)^2}...

> > This is commonly known as Sophie Germain's Identity;

> That I didn't know (and I really ought to have done).
> To me it was just an Aurefeuillian factorisation.
> I've got to admit, there's something prettier about
> Sophie-Germain's rendering of it.

> Phil
> --
> Any true emperor never needs to wear clothes. -- Devany on r.a.s.f1

> On Nov 9, 2:53 pm, Phil Carmody <thefatphil_demun...@yahoo.co.uk>
> wrote:

> > gwo...@figipc78.tu-graz.ac.at (GJ Woeginger) writes:
> > > alainvergh...@gmail.com <alainvergh...@gmail.com> wrote:
> > > # Good morning,
> > > #
> > > # I was working about additive splitting of integer
> > > # polynomials and fell upon this equality:
> > > # 4a^4 + b^4 = {a^2+(a+b)^2}.{a^2+(a -b)^2}...

> > > This is commonly known as Sophie Germain's Identity;

> > That I didn't know (and I really ought to have done).
> > To me it was just an Aurefeuillian factorisation.
> > I've got to admit, there's something prettier about
> > Sophie-Germain's rendering of it.

> > Phil
> > --
> > Any true emperor never needs to wear clothes. -- Devany on r.a.s.f1

> Except where it's cold.