|
Science Forum Index » Math - Symbolic Forum » My new Math
Page 1 of 2 Goto page 1, 2 Next
|
| Author |
Message |
| Guest |
 Posted: Thu Apr 10, 2008 2:52 pm |
|
|
|
|
Dear newsgroup:
I had written an article in the Math from the message is as bellow.
Since it has PDF files which Google group may not have attachment
files to carry it, I will provide its site, such that you may download
its PDF files.
http://mathforum.org/kb/thread.jspa?threadID=1726436&tstart=0
Please see my PDF files (as attached) of research statement sent to
math departments this year.
The diagram shows Riccati equations are within the center of math
activity.
The Math community behaves as if they have never seen my statements.
The Government of the U.S.A. should investigate the strange behavior
of the math community, to formulate a policy decision.
The roots of many problems in the American society are within the
cancer of current academic disaster.
Sincerely
Dr.Mehran Basti |
|
|
| Back to top |
|
| Guest |
| Posted: Sun Apr 13, 2008 4:20 pm |
|
|
|
|
Dear newsgroup:
As I had mentioned before all classical mathematical formulas of
science and engineering in the textbooks should be recalculated within
the domain of my new Math.
I found one of my posted articles (in 2002) about associated Legendre
equation on Maple's FAQ site.
You may see it on #61 of the following site.
http://www.12000.org/my_notes/faq/maple.htm
You see the knowledge is completely different.
Go through it with Maple to see what you get at the end.
The method systematically able to calculate one after another other
versions of associate Legendre (including solving its integrals).
It is truly a new math (using the manipulation of higher order linear
differential equations).
I have enough materials to write for the next 15 years! And the math
community is silent!
Sincerely
Dr.Mehran Basti |
|
|
| Back to top |
|
| Guest |
| Posted: Mon Apr 14, 2008 11:56 pm |
|
|
|
|
Dear newsgroup:
Since the Google group does not have attachments please see the
following, the text is as follows.
http://mathforum.org/kb/message.jspa?messageID=6177838&tstart=0
My lecture notes should come as software because its computations are
heavy and cannot be written on paper.
I need to copy right the ideas and then distribute it.
Having symbolic computations with many GB of ram of memory opens up a
new avenue for understanding the complexity of mathematics never seen
before in the history of math.
I have to say that, I am in a beautiful math space, not experienced
with current mathematicians.
I try to once in a while post something of my research.
But you need to see my lecture notes and follow up one after other and
get to know what is happening.
The Riccati differential equations I solve are totally different than
the methods maple uses.
I need to use supper computers to write many millions of them on
software.
This is the world I am.
Once a class polynomial is solved, i.e. theoretically, means from
degree 3 to n are solved (provided we have memory),
then those polynomials create Riccati equations, since polynomials are
included in Riccati. And visa versa.
As degree of polynomial increases so as the memory we need on computer
as well as combinations available.
It is not an exaggeration to encounter billions of combinations in
these computations.
If all the mathematicians of world decide to do this research, we have
centuries of math to do!
Please see a note about a comparison of my results with the Maple
ones.
Obviously I can solve many (millions now) that Maple is incapable to
solve.
I hope the math community wakes up, and not further ignoring my call
in this research.
Dr.Mehran Basti |
|
|
| Back to top |
|
| Guest |
| Posted: Tue Apr 15, 2008 8:16 am |
|
|
|
|
Dear newsgroup:
Since the Google group does not have attachments please see the
following, the text is as follows.
http://mathforum.org/kb/message.jspa?messageID=6178645&tstart=0
Only a few of my methods carry free variable types, in which case they
are used for solving integrals.
Almost others have a C as general constant of integration of Riccati.
The following is a degree 13 polynomial, generated by a separable
Riccati differential equation DE (as you can see).
Maple will solve it and upon substitution into the polynomial you get
its solution.
I have a program, which is designed for calculating them; it has many
combinations depending on degree.
This one has 56 combinations; the polynomial you see is the first one
on the list.
It is one of the beautiful characteristic of Riccati and polynomial
connections, that if you change t=T(t), m=m(t),n=n(t),r=r(t) in the
polynomial, the resulting differential equation is mainly Riccati as
well.
Since we have the general solution of the polynomial, we can get to
know the solution of the corresponding Riccati.
We need to solve Riccati differential equations as a class relative to
class polynomials and keep them in our library for reference.
Certainly there are eventually developments in non separable cases;
most of them are not solvable by Maple.
But there are procedures on my methods which solve them including its
integrals (It is part of the package of developments).
Generally as far as my experience shows, maple solution of polynomials
is similar to solving polynomials with higher order linear
differential equations.
This means Maple solutions of polynomials are in expanded forms.
It is not possible to handle even with computers many differentiations
of polynomial functions.
That is why after 100 years of research they could not develop much on
Galois theory (Thus the Galois theory is out of business).
But Riccati equations are of first order differential equations and we
have much hope to handle them nicely within higher order polynomials.
I have ample classes of polynomials and Riccati with applications for
the next 15 years.
Look at the AMS Mathjobs.org, no one was interested to even consider
me for a junior jobs.
Someone should question their committee and ask what they are doing
there?
They see only themselves and their lost math.
Dr.Mehran Basti |
|
|
| Back to top |
|
| Guest |
| Posted: Tue Apr 15, 2008 4:35 pm |
|
|
|
|
Dear newsgroup:
Since the Google group does not have attachments please see the
following, the text is as follows.
http://mathforum.org/kb/message.jspa?messageID=6179319&tstart=0
Please see a solution of an integral described on my statement of
research.
These integrals will be derived by combination of Riccati and
polynomial class.
Since we are dealing with class polynomials, thus we have many of them
depending on the degree of the polynomial.
About integrals I may have at least two lecture notes about them.
They must be presented with software and lectured on computer in the
classroom.
The proper way to solve integrals is through their natural pair of
(Riccati, polynomial) setting.
Eventually all of the current mathematical methodology will be subject
to change, once this research is carried out internationally.
After several years of your own research on this topic, you will agree
with me that the universe has a Riccati equation as a fountain of its
mathematical activity within the physics and biology of its structure.
I have included the Maple input of the integral on the PDF file.
Dr.Mehran Basti |
|
|
| Back to top |
|
| Mehran Basti |
| Posted: Sat Apr 19, 2008 7:59 am |
|
|
|
Guest
|
Dear Newsgroup:
About 10 years ago a colleague of mine at the university of Manitoba provided a letter of recommendation.
http://groups.google.com/group/sci.math.symbolic/browse_thread/thread/740ca636dcce43ff/2421dcd30ee89c0e?lnk=st&q=%232421dcd30ee89c0e
Well, he later said they do not look at his references.
This is the reality of the math community gangsters; I wonder why the American higher educational system is so mixed up.
Unfortunately the nature of my research is in such a way that, they do not see their power preserved upon its growth (their phony fields may be dismantled).
Since 10 years ago my production on this research has also been tripled, thus the length of my unemployment as well.
Those at MIT, Harvard, etc only view their academic power, and have no interest for true science.
They have completely forgotten the history (they are so naïve).
I assure you they cannot deceive the public forever. They will be prosecuted and will be forced to leave their positions or their status will be restricted.
Think about my New Energy Formula (posted in this newsgroup) and see how the universe structured mathematically in a simple Riccati differential equation at its heart.
X’ +X^2 = g (t)
Is it not simple and beautiful?
Try to get to know my new science, and forget power struggles in the academia, which is poisoning and destroying the American higher educational system.
Vote for my new math!
Dr.Mehran Basti |
|
|
| Back to top |
|
| Mehran Basti |
| Posted: Sun Apr 20, 2008 8:33 am |
|
|
|
Guest
|
Dear Newsgroup:
Here I have demonstrated how I solve systems of differential equations (an example).
http://groups.google.com/group/sci.math.symbolic/browse_thread/thread/d83859ed86ea508e/6aaef941838d99ca?lnk=gst&q=Mehran+Basti%236aaef941838d99ca
Systems of differential equations naturally occur when we want to assign a Riccati differential equation to a polynomial.
What Galois theory is lacking is this powerful method , which is solving polynomials with differential equations and systems of differential equations.
Generally, we need to build up the method with examples to create the science.
Like differentiation and integral structure in calculus.
I have many solved classes of polynomials with Riccati, and I need help to write them down in software with programming (millions of them in each class, with their solutions).
Read my research statements.
Dr.Mehran Basti |
|
|
| Back to top |
|
| Mehran Basti |
| Posted: Tue Apr 22, 2008 1:20 pm |
|
|
|
Guest
|
Dear Newsgroup:
I have to write my lecture notes with software to cover my retirement and loss of career.
There are a lot of materials, and cannot be explained on paper only.
2000 pages of lecture notes only describes steps, the rest must be read on a programming on Maple (similar the one I had on Associated Legendre, see my new Math).
I have hundreds of files on my computer since over a quarter century of work on this field.
I am sure they will acquire the similar results once the research is taken off internationally.
We are talking about a new universe of computations, not seen before.
As the degree of polynomial increases so as its length of programming and memory and speed on computer (as needed).
I can today solve many classes of higher order polynomials not imaginable by Galois theory.
There are a lot of issues linked together and must be written in order.
I need to consult professional programmers.
I do not know why the US government places supercomputers for researcher in the care of the AMS president.
He is ill understood about the future of math in America.
I will cover, polynomials, differential equations (also system), integrals (elliptic or not as a class), factorization of polynomials (in its infancy using differential equations needs to be classified), and classical equations like Bessel with new relations, nonlinear systems, and other applications.
The math community is waiting if I accept their leader’s status that will never happen.
Dr.Mehran Basti |
|
|
| Back to top |
|
| YBM |
| Posted: Tue Apr 22, 2008 8:44 pm |
|
|
|
Guest
|
Basti05b@aol.com a écrit :
Can't you realize that ALL of you pdf are completely insane and
that you need medical help, fast ? |
|
|
| Back to top |
|
| Mehran Basti |
| Posted: Tue Apr 29, 2008 4:09 pm |
|
|
|
Guest
|
Dear Newsgroup:
Have you tried to see how you could handle this polynomial from Galois theory point of view?
Do you know that it took me generally 16 years that I found out the polynomials LIKE THE ABOVE ONE are based on Riccati as a class?
This is as strong as what Fermat did to set up:
(f(x+h) - f(x))/h
The next operation was what Newton did and let h approaches zero.
(i.e. the invention of Calculus).
Now polynomials are embedded in Riccati and we have a new world of mathematics as strong as Calculus and analytic geometry.
(I believe it is many times more).
The silence of the math community will not diminish this new way of computations, just delay its marketability.
Dr.M.Basti |
|
|
| Back to top |
|
| Guest |
| Posted: Wed Apr 30, 2008 8:21 am |
|
|
|
|
Mehran Basti wrote:
Quote:
Have you tried to see how you could handle this polynomial from Galois theory point of view?
Do you know that [...] I found out the polynomials LIKE THE ABOVE ONE are based on Riccati as a class?
It seems I need better glasses.
Would you kindly post "this polynomial" again such that those with
weak eyes are able to recognize it?
Martin. |
|
|
| Back to top |
|
| Mehran Basti |
| Posted: Wed Apr 30, 2008 9:16 am |
|
|
|
Guest
|
Quote: Dear Newsgroup:
Have you tried to see how you could handle this
polynomial from Galois theory point of view?
Do you know that it took me generally 16 years that I
found out the polynomials LIKE THE ABOVE ONE are
based on Riccati as a class?
This is as strong as what Fermat did to set up:
(f(x+h) - f(x))/h
The next operation was what Newton did and let h
approaches zero.
(i.e. the invention of Calculus).
Now polynomials are embedded in Riccati and we have a
new world of mathematics as strong as Calculus and
analytic geometry.
(I believe it is many times more).
Dr.M.Basti
Sorry I forgot to provide links:
http://mathforum.org/kb/message.jspa?messageID=6178645&tstart=0
and also
http://mathforum.org/kb/thread.jspa?threadID=1733512&tstart=0
It is in PDF so you can zoom.
Dr.M.Basti |
|
|
| Back to top |
|
| Jim |
| Posted: Wed Apr 30, 2008 10:24 am |
|
|
|
Guest
|
Wed, 30 Apr 2008 15:16:08 -0400, Mehran Basti:
Quote: It is in PDF so you can zoom.
Zoom in the sense that this stuff will be closer to a real meaning? |
|
|
| Back to top |
|
| Guest |
| Posted: Thu May 01, 2008 2:44 am |
|
|
|
|
Mehran Basti wrote:
Thanks for providing the missing information - I don't need new
glasses after all. Let's share the information with the group:
Your file begins with the statement "This is a polynomial of degree
13, generated by a separable Riccati differential equation," followed
by a high-order multivariate polynomial (involving the four variables
h,r,t,x) with rational coefficients:
x^13 + t x^12 + (h t - 78 r) x^11 + (11/18 h^2 t - 22 r t - 143/3 h r)
x^10 + (-55/3 r h t + 55/216 t h^3
+ 715 r^2 - 715/36 r h^2) x^9 + (-33/4 t r h^2 + 11/144 t h^4 + 99 t
r^2 - 143/24 r h^3
+ 429 h r^2) x^8 + (-22/9 t r h^3 + 11/648 t h^5 + 66 t h r^2 -
143/108 r h^4 + 143 r^2 h^2
- 1716 r^3) x^7 + (286/9 r^2 h^3 - 143/648 r h^5 - 858 r^3 h + 22 t
r^2 h^2 - 55/108 t r h^4
+ 11/3888 t h^6 - 132 t r^3) x^6 + (55/12 t r^2 h^3 + 11/31104 t h^7 -
11/144 t r h^5 - 66 t r^3 h
- 143/5184 r h^6 + 1287 r^4 - 429/2 r^3 h^2 + 715/144 r^2 h^4) x^5 +
(-385/46656 t r h^6
+ 55/1679616 t h^8 + 55 t r^4 - 275/18 t r^3 h^2 + 275/432 t r^2 h^4 -
3575/108 r^3 h^3 + 715/1296 r^2 h^5
+ 1430/3 r^4 h - 715/279936 r h^7) x^4 + (1001/23328 r^2 h^6 + 715/9
r^4 h^2 - 143/839808 r h^8
- 715/216 r^3 h^4 - 55/27 t r^3 h^3 + 77/1296 t r^2 h^5 + 55/3 t r^4 h
- 11/17496 t r h^7 + 11/5038848 t h^9
- 286 r^5) x^3 + (7/1944 t r^2 h^6 + 5/2 t r^4 h^2 - 1/31104 t r h^8 -
35/216 t r^3 h^4
+ 1/10077696 t h^10 - 6 t r^5 - 13/1679616 r h^9 + 65/9 r^4 h^3 -
91/432 r^3 h^5 - 65 r^5 h
+ 13/5832 r^2 h^7) x^2 + (455/1296 r^4 h^4 - 65/12 r^5 h^2 - 91/11664
r^3 h^6 - 13/60466176 r h^10
+ 13 r^6 + 13/186624 r^2 h^8 + 1/362797056 t h^11 - 5/5038848 t r h^9
+ 35/216 t r^4 h^3
- 7/972 t r^3 h^5 - t r^5 h + 1/7776 t r^2 h^7) x + 35/8424 t r^4 h^4
- 7/156 t r^5 h^2
- 11/786060288 t r h^10 + 5/2426112 t r^2 h^8 - 7/50544 t r^3 h^6 -
35/216 r^5 h^3 + 7/972 r^4 h^5
- 1/362797056 r h^11 - 1/7776 r^3 h^7 + 1/28298170368 t h^12 + 1/13 t
r^6 + 5/5038848 r^2 h^9
+ r^6 h
This polynomial is linear in the variable t. It is followed by the
statement "Its Riccati differential equation is separable one" and the
fairly simple differential equation:
dif(x(t),t) = -(x(t)^2 + m x(t) + r) / (t^2 + (-2 h - m) t - 2 k + 13
r)
The equation contains two variables m,k in addition to those found in
the polynomial. Its integration leads to a functional relation between
x and t that involves logarithms and square roots.
As such, the multivariate polynomial and the differential equation are
unobjectionable; the problem now is that your accompanying words have
no recognizable mathematical meaning:
In what sense are your "polynomials based on Ricatti"? (Is "Ricatti"
here short for "some Ricatti differential equation" or for "Jacopo
Francesco Riccati"?) How does your differential equation with a
logarithmic solution "generate" your polynomial?
More genearally speaking, your comments seem to imply some relation
between the high-order polynomial and the fairly simple differential
equation. If that is what you mean, what use do you think can this
relation be put to?
Martin.
PS: I know this runs counter to Jean-Michel Collard's earlier
advice  |
|
|
| Back to top |
|
| Jim |
| Posted: Thu May 01, 2008 3:36 am |
|
|
|
Guest
|
Thu, 01 May 2008 05:44:38 -0700, clicliclic:
Quote: In what sense are your "polynomials based on Ricatti"? (Is "Ricatti"
here short for "some Ricatti differential equation" or for "Jacopo
Francesco Riccati"?)
No, it's Riccati. "Ricatti" means "blackmails" in Italian (thanks Google).
Otherwise, you're just wasting time with him.
Besides, his claim to have studied in UK is suspicious at best. (I know, I
know, there are *two* wrong assumptions here...)
The correct English spelling is in fact "centred", non "centered" as
he wrote in his pdf. |
|
|
| Back to top |
|
| |
