Re: one of the great relations

On Oct 3, 2:01 pm, galathaea <galath...@xxxxxxxxx>
wrote:
On Oct 2, 9:15 pm, galathaea <galath...@xxxxxxxxx>
wrote:



(excuse the broken capitalisation)

On Oct 2, 5:54 pm, JSH <jst...@xxxxxxxxx> wrote:

It's interesting to me that it's rational and
can't be forced to be
integer, which may be why I kind of let things
drop.

I find that kind of disappointing.

I MAY re-visit the issue at some point but I'm
getting bored with the
paper which is why I've moved on to that
massive number theoretic
structure which for the moment is more
interesting.

I'm kind of close to dropping it all though as
of limited interest to
me.

Once I get answers to why I tend to wander off.

DON'T FUCKING DO IT

DON'T FUCKING RUN AWAY

       OK?

WRITE IT OUT TO THE END

YOU'RE A FUCKING ADULT
  ACT LIKE ONE

WRITE IT OUT TO THE END
  PROFESSIONALLY

  BREAK IT DOWN

1. YOU WANT TO (ANALYSE?) PELL EQUATIONS
                   A
                   |
                   |
FILL THIS PART IN---

EXPAND

  A. QUADRATIC RECIPROCITY AND SOLUTION EXISTENCE
  B. SOLUTION CHAINS
  C. ?
  ...

2. YOU WANT GENERALISATIONS TO QUADRATIC FORMS

  A. QUADRATIC RECIPROCITY AND SOLUTION EXISTENCE
  B. SOLUTION CHAINS
  ...

3. RELATIONS BETWEEN FORMS AND VARIETIES

  A. PELL AND PYTHAGOREAN
  ...

GIVE THE COMPLETE THEORY

NOT BECAUSE I TOLD YOU TO

  BUT BECAUSE YOU NEED TO KNOW

YOU NEED TO SEE THAT YOU CAN ACTUALLY
  BE ONE TOO

(YOU'RE GETTING OLDER EVERY DAY)

  --

YOU'RE RIGHT THERE
  IT'S GETTING A BIT HARD
  (BECAUSE THERE IS A LOT OF BRUTE FORCE NEEDED)

YOU'RE GETTING TIRED

(WHO THE HELL DOESN'T?)

BUT YOU KNOW YOU'VE FINALLY BEGUN TO UNDERSTAND
  WHAT YOU KNOW TO BE AN IMPORTANT CONNECTION

YOU ARE VERY RIGHT TO FEEL THAT

NOW GET IT DONE
  EVOLVE YOUR PAPER TO FILL OUT THOSE CONJECTURES

PROVE THEM RIGHT OR DEMONSTRATE COUNTEREXAMPLES
  WHATEVER IT TAKES TO (ANALYSE?)

GENERALISE AND FILL IN THE GAPS

YOU NEED TO SEE WHAT YOU CAN DO

DO IT

DON'T TURN AWAY WHEN YOU ARE JUST GETTING
INTERESTED

WRITE IT ALL OUT

THE BIG PICTURE HERE

NUMBER IT
  SECTION IT
    SUBSECTION IT

CLASSIFY WHAT YOU ARE WORKING ON

HERE'S A HINT:
  DON'T TRY TO MAKE EVERY LITTLE THING WORK
  BUT DO TRY TO ANALYSE WHAT IS STILL HIDING
    VAGUE AND UNRESOLVED
  AND TRY TO HAVE A SECTION FOR EACH PART OF THE
WHOLE

A CLUMSY AND POOR SECTION CAN BE LOOKED AT
  THOUGHT ABOUT AT A LATER DATE
  PLAYED AROUND WITH

AT LEAST IT STICKS AROUND AND RECORDS ANY PROGRESS

IF YOU DO THAT
  I HAVE NO DOUBT YOU WILL SEE THIS GREAT THEORY
    IN IT'S ENTIRETY
  THAT YOU FEEL TINGLING AROUND INSIDE

I HAVE NO DOUBT
  AT THIS POINT
YOU CAN FINISH A THEORY THROUGH

YOU'RE JAMES FUCKING HARRIS FOR CHRIST'S SAKE

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
galathaea: prankster, fablist, magician, liar

You're probably just making fun of me, but I do
wonder if I could go
forward a thousand years and look back: does history
hate me or love me?

I have the answers dear, but I find that the
questions mean more to me.

no

i'm not making fun of you
though i'm probably acting a bit silly

i think you are playing around with the equations
in a way that shows you enjoy it
and are discovering the reciprocity link

this is the start of class field theory

i think you could find a lot of that on your own
if you just wrote out what you've already found

i think you're right there
about to make one of those deep understanding
epiphanies of the big picture

and i think it will make you confront ideals
and some of the higher algebra you've been avoiding

just write out what you have with a bit more structure

enumerate cases

make it explicit

i've got a paper i need to do the same thing with
so you must understand i don't look down on you

we're both in the same boat

i'm not making fun of you
james

it's just
the truth is
a thousand years from now
history will not remember you at all

not yet

i'm just trying to tease you into some more follow through
precisely because your fate in history
has yet to be determined

i'm trying to help

sometimes i just get a bit goofy

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
galathaea: prankster, fablist, magician, liar
.