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Humanist Discussion Group, Vol. 13, No. 512.

Centre for Computing in the Humanities, King's College London

<http://www.princeton.edu/~mccarty/humanist/>

<http://www.kcl.ac.uk/humanities/cch/humanist/>

[1] From: cbf@socrates.berkeley.edu (53)

Subject: Re: 13.0505 open questions in the disciplines

[2] From: "Osher Doctorow" <osher@ix.netcom.com> (18)

Subject: Open Questions in disciplines

--[1]------------------------------------------------------------------

Date: Sat, 25 Mar 2000 10:51:38 +0000

From: cbf@socrates.berkeley.edu

Subject: Re: 13.0505 open questions in the disciplines

I took Matsuba's list somewhat differently--namely, as an attempt to show

that it is inherently impossible to provide a list of unsolved questions

in the study of literature because of the very nature of the

discipline. None of the questions that he listed can be "solved", in the

sense that one can solve a problem in the sciences.

Charles Faulhaber The Bancroft Library UC Berkeley, CA 94720-6000

(510) 642-3782 FAX (510) 642-7589 cfaulhab@library.berkeley.edu

On Thu, 23 Mar 2000, Humanist Discussion Group wrote:

* >
*

* > Humanist Discussion Group, Vol. 13, No. 505.
*

* > Centre for Computing in the Humanities, King's College London
*

* > <http://www.princeton.edu/~mccarty/humanist/>
*

* > <http://www.kcl.ac.uk/humanities/cch/humanist/>
*

* >
*

* >
*

* >
*

* > Date: Thu, 23 Mar 2000 08:19:34 +0000
*

* > From: "Osher Doctorow" <osher@ix.netcom.com>
*

* > >
*

* >
*

* > Dear Colleagues:
*

* >
*

* > Stephen N. Matsuba of the University of Waterloo replied to my recent
*

* > indirect call for listing 20 main open questions in each (academic)
*

* > discipline with some interesting points and a list of 7 questions in
*

* > literary and linguistic studies (see volume 13, no. 501).
*

* >
*

* > I will match him by listing 7 main open questions in mathematics in the
*

* > last 5 years, as I do below. I will list another 7 as soon as somebody
*

* > lists 7 others in another or the same field.
*

* >
*

* > 1. rare events/large deviations, 2. nonsmooth analysis (broken graphs,
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* > graphs with holes in them, graphs with sharp point turns, etc.), 3.
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* > solutions/approximations of Navier-Stokes equations in
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* > hydrodynamics/aerodynamics, 4. solutions of Schrodinger equation, 5.
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* > solutions of Einstein field equations, 6. topological control theory, 7.
*

* > algebra of nonnegative semigroups and non-Hilbert Banach spaces.
*

* >
*

* > By the way, Waterloo University, McGill University, and Montreal/Quebec are
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* > 3 of the best universities of Canada, which in my humble opinion puts them
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* > somewhere between Harvard-Yale-Princeton and Oxford-Cambridge-London on the
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* > scale of great universities. I mention this because I have a conjecture
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* > concerning the greatness of universities being positively correlated with
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* > their age with obviously a fair number of exceptions. I may say something
*

* > about this later if I can avoid insulting half the researchers in the
*

world.

* >
*

* > Yours,
*

* >
*

* > Osher
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* >
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* >
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* >
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* >
*

--[2]------------------------------------------------------------------

Date: Sat, 25 Mar 2000 10:52:09 +0000

From: "Osher Doctorow" <osher@ix.netcom.com>

Subject: Open Questions in disciplines

Dear Colleagues:

I have a few additions to yesterday's remarks. First of all, I should have

phrased the open questions in the form: how do you solve, or what are the

characteristics of, etc.

Secondly, I should have "raised" by 7 as I think they say in the cinema, so

I list below 7 more main open questions in mathematics of the last 5

years. To avoid repeating "what are the characteristics of...?" just affix

this or "how do you solve...? or appropriate expressions of similar type to

the numbered items.

8. 2-time scale mathematics (applied, e.g., to geophysical research, neural

networks, theoretical physics), 9. quantum and molecular computers, 10

geometric-algebraic physical mathematics including Clifford algebras,

octonions, division algebras, quaternions, etc., applicable to quantum

theory and relativity, 11. mathematics of genetic engineering, 12. Lie

groups and algebras (applicable almost everywhere in physical sciences and

mathematics), 13. mathematical logic including

belief/fuzzy/possibility/probability etc., 14. fractals/chaos/dynamic

systems (weather modeling, geographical modeling, biological modeling, etc.

- generally irregularly shaped boundaries).

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