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  Systems of non-linear algebraic equations         


Author: Mehran Basti
Date: May 17, 2008 17:04

Dear Newsgroup:

Systems of algebraic equations like the following two equations in unknowns {x,y}:

Eq1: m3*x^3+m1*x+n2*y^2+n1*y =r1;

Eq2: a3*x^3 +a2*x^2+b2*y^2+b1*y=r2;

Can also be handled by Riccati equations as its sole developments.

Normally we will parameterize it and handle its systems of differential equations via Riccati.

Certainly, one can extend the system both by many variables, like, x,y,z,u, as well as number of equations.

If you can solve the above system by Maple, the result would be a polynomial of degree 6 as RootOf.

Thus since I have an independent solution of my system of algebraic equations, certainly I will also have a key to Maple polynomial solution.

You see we indeed can base our studies completely on Riccati.

According to my last 10 years of extensive focus on Riccati, there is no other way we can initiate a solid studies as classes.

This means you are able to find a solution of a problem by a special trick, but it cannot be extended to others as a class, unless it is based on Riccati as a sequence of developments.

How I can convince MIT, Harvard, Princeton and Cambridge, that the way of the future is Riccati, the other subjects are long depreciated and not appropriate?

They are in their own games and also silent!(as well as blind)

You can view and criticize all of my claims in my first 10 lecture notes (200 pages each with software).

This is NEW EXACT MATH world.

Dr.M.Basti
3 Comments
  A Letter of Einstein 2008         


Author: Albert Einstein
Date: May 16, 2008 11:01

Dear Sirs,
my name is Albert Einstein. I was told that some idiot
named Mehran Basti reads my old private letters and shows
them to the public.

I am writing to you this open letter to state without
doubt that this moron, Mehran Basti, is the most stupid
and ignorant person on our planet Earth.

This cretin writes to me daily here at Princeton stating that
has invented a new math, which of course is just a childish delirium.
He has an acute mental disturbance characterized by confused thinking
and disrupted attention, accompanied by disordered speech
and hallucinations. Those are the conclusions of two experts from
local asylum.

I invite you to ignore him and the whole population to call
immediately 911 when seeing him. He is mad and potentially
dangerous as he is armed.

Sincerely Yours,
Albert Einstein
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1 Comment
  [ANN] Aldor & Axiom / OpenAxiom / FriCAS Workshop 2008         


Author: Martin Rubey
Date: May 16, 2008 05:56

Aldor & Axiom Workshop 2008

part of

RISC Summer 2008

Hagenberg, Austria
24-26 July 2008

The workshop aims at a cooperation of Aldor, Axiom, OpenAxiom, and FriCAS
developers with developers of packages written for other Computer Algebra
Systems, and mathematicians that would like to use a computer algebra system to
perform experiments.

Conference Website
------------------
http://axiom-wiki.newsynthesis.org/WorkShopRISC2008

Topics
------
Similar to 2006 and 2007, the workshop will be organized as a mixture of
talks and discussions. We will begin with an introduction to Axiom /
OpenAxiom / FriCAS and the Aldor language, including a comparison with the
approach employed by Sage and Python.

We then plan to cover the following topics:
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  A Letter Of Einstein 1954         


Author: Mehran Basti
Date: May 16, 2008 01:18

Dear Newsgroup:

The following news was on CBC on May 15,2008:

http://www.cbc.ca/world/story/2008/05/15/einstein-letter.html
{
Einstein letter dismissing God sells for
$330,000 US
Last Updated: Thursday, May 15, 2008 | 5:19 PM ET
CBC News
A letter written by Albert Einstein in which he dismissed belief in God as a “product of human weaknesses” was auctioned off Thursday for more than $330,000 US, destroying previous selling records of letters by the renowned physicist.

The letter, written in German in 1954 to philosopher Eric Gutkind, was sold in London, England, by Bloomsbury Auctions to a private collector. It had initially been expected to fetch between $12,000 US and $16,000 US.

“It beats the world record for an Einstein letter by about four times," managing director Rupert Powell told the Guardian newspaper. "It's a massive difference."

In the letter, Einstein writes "the word 'God' is for me nothing more than the expression and product of human weaknesses, the Bible a collection of honourable but still primitive legends which are nevertheless pretty childish."

Einstein, who was Jewish, also rejects the notion that Jews were God’s chosen people
"For me, the Jewish religion like all other religions is an incarnation of the most childish superstitions,"

he wrote.

He added that "the Jewish people to whom I gladly belong, and with whose mentality I have a deep affinity, have no different quality for me than all other people.

“As far as my experience goes, they are also no better than other human groups, although they are protected from the worst cancers by a lack of power. Otherwise, I cannot see anything 'chosen' about them."

Einstein's religious and spiritual beliefs have been the subject of much speculation by both believers and skeptics.}

Well, such an understanding demonstrates that he had an overall narrow viewpoint about the universe.
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4 Comments
  FAQ: Scientific Computing and Numerical Analysis         


Author: Steve Sullivan
Date: May 15, 2008 22:16

Archive-name: num-analysis/faq/part1
Posting-Frequency: monthly
Last-modified: 2008 Mar 27
URL: http://www.mathcom.com/corpdir/techinfo.mdir/index.html
Copyright: (c) 1995-2008 S. J. Sullivan.
Maintainer: Steve Sullivan mathcom.com>

The Scientific Computing and Numerical Analysis FAQ is at:

http://www.mathcom.com/corpdir/techinfo.mdir/index.html

=====

Recent changes:

TRIP is a general computer algebra system dedicated to celestial mechanics.
TRIP includes a numerical kernel. It is distributed as binaries
for Windows, Linux, and MacOS; no source.

http://www.imcce.fr/Equipes/ASD/trip/trip.php TRIP

--

========================================
Steve Sullivan sullivan@mathcom.com

http://www.mathcom.com 303-494-7115
========================================
no comments
  The future math newsgroup         


Author: Mehran Basti
Date: May 15, 2008 14:42

Dear Newsgroup:

Similar to many other fields like relativity, NEW EXACT MATH will have its own newsgroup in the future.

Like newsgroup sci.physics.relativity, we will also have sci.math.new exact math.

This is because the field is a universe of its own and practically we need to start off all aspects of problem solving from the scratch.

Like all other new fields in the past, this science will endlessly develop for centuries to come.

Initially I need to pass through the iron wall of the math community, as an independent researcher.

Dr.M.Basti
11 Comments
  Tracing the NG abuser         


Author: Mehran Basti
Date: May 14, 2008 19:36

Dear Newsgroup:

I have written a letter to the Internet partners and I am following up with their recommendation (sent an email to the abuse department).

The person in question is in Germany.

Here is their letter, what is the situation? Any lessons for the Usenet?

Hi Mehran,

If you look again at the bottom you will see the line:

The user making this post is doing so from a computer
using IP address 81.169.155.246
There is a command called "whois" that can be run at any UNIX prompt including
the terminal prompt under MacOS. There's a command-line version of whois
for Windows that also does the same thing. Run it like this:

$ whois -h whois.ripe.net 81.169.155.246

%% This is the RIPE Whois query server #2.
%% The objects are in RPSL format.
%%
%% Rights restricted by copyright.
%% See http://www.ripe.net/db/copyright.html

%% Note: This output has been filtered.
%% To receive output for a database update, use the "-B" flag
Show full article (3.94Kb)
1 Comment
  Nash equilibria and symbolic computation         


Author: Robert H. Lewis
Date: May 14, 2008 17:15

Does anyone know how much has been achieved or attempted in computing Nash equilibria symbolically?

I have been reading this paper by Ruchira Datta: Finding All Nash Equilibria of a Finite Game Using Polynomial Algebra.
http://arxiv.org/abs/math.AC/0612462

The point is to solve a system of polynomial equations. In the paper (p. 33) she has the equations for the case of three players with two pure strategies, and solves them with Singular (let's call this the 3-2 case). How about the 4-2 case, or the 3-3 case? Again, I want fully symbolic solutions, not numerical computing.

Thanks.

Robert H. Lewis
Fordham University
New York
2 Comments
  Time for revolutionary decisions         


Author: Mehran Basti
Date: May 14, 2008 05:32

Dear Newsgroup:

My mind is gone. My head is out of control.
Surgeons said my only hope at this stage is brain transplant.
Now I have to wait for a donor. Main candidates are those two:
a retarded pidgeon and a dead rat.
Yet surgeons are afraid of overloading my head with too much brain.

Maybe an amoeba is more than enough for me and my NEW EXACT MATH.

Dr.M.Basti

-----
This article posted from the free web access interface to the
Internet Partners Inc. Usenet news server, at http://news.ipinc.net.
Check out Portland's full-service business Internet Service Provider at:
http://www.ipinc.net. The user making this post is doing so from a computer
using IP address 81.169.155.246
1 Comment
  Another Riccati from a different class polynomial         


Author: Basti05b
Date: May 13, 2008 23:53

Dear Newsgroup:

Please find enclosed a PDF file of a Riccati differential equation in
a normalized form.

http://mathforum.org/kb/thread.jspa?threadID=1742434&tstart=0

This Riccati has been generated from another different class
polynomial of degree 31.

Since the polynomial has been solved (without integration), thus we
have the solution of the Riccati , for each alpha(t) and beta(t).

I believe it takes a lot of time to maple to solve some of them for
even simple values of alpha(t)=t and beta(t)=t^2.

Start substituting some values to see how Maple behaves.

This is one of my beautiful classes (different from the other
Riccati), and I believe with a supercomputer one can calculate
polynomials of over a 1000 degrees.

I will also enclose its Maple input.

We are in a NEW EXACT MATH world.

Dr.M.Basti
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