HDTenEightyP/NetNews huggingface dataset:
From: michaelg@Xenon.Stanford.EDU (Michael Greenwald)
Subject: Re: Well-known people who majored in math (other than mathematicians)
Organization: CS Department, Stanford University, California, USA
Distribution: na
Date: 15 Oct 92 16:26:44 GMT

In sci.math edgar@function.mps.ohio-state.edu (Gerald Edgar) writes:

>In article <92288.113616RVESTERM@vma.cc.nd.edu> <RVESTERM@vma.cc.nd.edu> writes:
>>could someone at columbia go to the library and look up what art
>>garfunkel's doctoral thesis was on? i'd be very interested.
>>

>CLIO, Columbia's library listings accessible from the internet, does
>not list it.  Perhpas CLIO only goes back to a certain date...

Or perhaps Garfunkle didn't get a PhD?  When I was in high school, I
had heard that he had been a high school math teacher, but never heard
any PhD stories.

On some sheet music (or maybe it was a record liner from one of the
albums?) I recall a picture of Garfunkle in front of a blackboard.  I
think it was an elementary geometry proof, but he was pointing at some
non-sequitors in one of the steps.  I think it said something like
"All that glitters is not gold".  I don't remember the details.  

I'm sceptical about the PhD story, since I think they were essentially
doing folk music full time pretty soon after college, so unless he
were a Wunderkind, there wouldn't have been much time for a PhD.

Of course, I've been wrong before, and this should be easy to look up...
Newsgroups: sci.math
Subject: eigenvalues of Toeplitz
From: moon@moon.ee.usu.edu (Todd Moon)
Date: 16 Oct 92 15:17:05
Distribution: sci.math
Organization: Utah State University Dept EE Logan, Utah


Notwithstanding the great efficient ways of inverting Toeplitz
matrices and solving Toeplitz systems, I have been unable to find
efficient ways of computing eigenvalues (and/or vectors) for
(symmetric) Toeplitz matrices.  Any advice?

--

Todd Moon
Electrical Engineering Dept., UMC 4120
Utah State University
Logan, UT  84322
801 750 2970
moon@moon.ee.usu.edu
Xref: sparky sci.math:13227 sci.physics:16545
From: markrose@spss.com (Mark Rosenfelder)
Newsgroups: sci.math,sci.physics
Subject: Re: "The Universe of MOTION" (crackpot index)
Date: 14 Oct 92 21:27:07 GMT
Article-I.D.: spss.1992Oct14.212707.12950
Organization: SPSS Inc.

In article <1992Oct14.194338.8696@galois.mit.edu> jbaez@riesz.mit.edu 
(John C. Baez) writes:
>By the way, I welcome suggestions as to how to make this index more
>accurate.  Of course, I'm not taking any of this too seriously, so
>please spare paroxysms of philosophical agony about the definition of
>a cracked pot.  Also, I only welcome suggestions from those whose
>current crackpot index averages below 30 per post.

I think any description of scientists in general as "atheistic" should be 
worth 5 points, at least-- "atheistical", 10 points.

How about people who begin numbering lists with -1?  Ha ha!  Just kidding.
Newsgroups: sci.math
From: gjm11@cus.cam.ac.uk (G.J. McCaughan)
Subject: Re: Hint?
Organization: U of Cambridge, England
Date: Fri, 9 Oct 1992 06:38:00 GMT

In article <Bvtw1A.3y3@acsu.buffalo.edu>, adumi-v@acsu.buffalo.edu (virgil adumitroaie) writes:
> 
> 
> 
> 
> 	I wonder if somebody could give me a hand in solving
> an easy problem, which I did it once some time ago, but it
> seems that it doesn't work anymore (and I threw away the
> scratch notes).
> 
> The problem is to demonstrate the tensorial relation
> 
>   E   E   = d  d  - d  d
>    ijk pqk   ip jq   iq jp
> 
> where E is the alternating tensor and d the Kronecker tensor.

Uggh...
Well, here's a horrible way to look at it.
If i=j or p=q 
  the LHS is a sum of zero terms, and 
  the RHS is zero by symmetry.
If {i,j} != {p,q} 
  the LHS is a sum of zero terms, and 
  the RHS is zero because one of each pair of d's is zero.
If {i,j} = {p,q}
  the LHS has only one non-zero term: +-1 depending on order of i,j/p,q, and
  the RHS is +-1 depending on order of i,j/p,q.

Of course this isn't what you wanted; let's see if we can get anywhere with your
matrix method.

I'll write just ij for d_{ij} etc, to save space. Also, the summation convention
is suspended until further notice.
So, E_{ijk}.E_{pqk} is the determinant of

    ii ij ik         pi pj pk
    ji jj jk  times  qi qj qk
    ki kj kk         ki kj kk,

i.e. of

    ii.pi+ij.qi+ik.ki  ii.pj+ij.qj+ik.kj  ii.pk+ij.qk+ik.kk
    ji.pi+jj.qi+jk.ki  ji.pj+jj.qj+jk.kj  ji.pk+jj.qk+jk.kk
    ki.pi+kj.qi+kk.ki  ki.pj+kj.qj+kk.kj  ki.pk+kj.qk+kk.kk

i.e. of  (note: now "abc" will mean "d_{ab}.d_{bc}", which is 1 iff a=b=c)

    pi+ijq+ik     pj+ijq+ijk    pk+ij.qk+ik
    ijp+iq+ijk    ijp+jq+jk     ij.pk+qk+jk
    ipk+iq.jk+ik  ik.pj+jqk+jk  ipk+jqk+1

i.e. of ... oh, this is just getting too horrible. Are you sure you ever
got it to work? (I'm perfectly certain it will if one has the patience to
grind through it, but it doesn't look like it's going to be much fun!)

Perhaps we can use that identity you mention without bringing matrices
into it.

E_{ijk}E_{pqk} = sum over k of [ek.(ei x ej)] [ek.(ep x eq)]

... doesn't look like it's going to simplify in any very nice way.
Well, I give up on this one anyway. The proof I gave above is good enough
for me!
   
--
Gareth McCaughan     Dept. of Pure Mathematics & Mathematical Statistics,
gjm11@cus.cam.ac.uk  Cambridge University, England.    [Research student]
Newsgroups: sci.math
From: jbaez@riesz.mit.edu (John C. Baez)
Subject: Re: Another GRE question for you folks
Organization: MIT Department of Mathematics, Cambridge, MA
Date: Mon, 12 Oct 92 22:14:20 GMT

In article <SMITH.92Oct12141247@gramian.harvard.edu> smith@gramian.harvard.edu (Steven Smith) writes:

>Did the test really say ``the square root of 2,'' or did it use a
>surd, i.e.,       _
>                \/2 ?
>
>By convention, the surd notation denotes the positive real root of a
>positive number.  If the ETS used a surd, their answer is correct, and
>they can avoid yet another damaging article on the front page of the
>Wall Street Journal.
>
>If they said ``the square root of 2'' or ``2^(1/2),'' they are
>referring to a number x such that x^2 = 2, and the correct answer is D
>by the reasons you stated.

Surely if they say THE square root of 2 they are hinting that they believe
there is a unique one, i.e., that they are forgetting the negative one.
From: martin@math.rwth-aachen.de (  Martin Schoenert)
Newsgroups: sci.math
Subject: Re: Software for Group Theory
Date: 12 Oct 92 15:03:27 GMT
Organization: Rechnerbetrieb Informatik  /  RWTH Aachen

In his article of 7-Oct-92 Leif Erik R. Hauge writes:

    What are the best/simplest to use/most powerful software packages
    for `doing' group theory??

I don't really know if they are best/simplest, but apart from several
standalone programs implementing a single algorithm there are only two
general purpose group theory systems available. One is Cayley and the
other one is GAP.  

I don't think I am in a position to compare those two, being one of the
principal authors of GAP.  In many regards they are quite similar, in
other regards they are very different.  You should look for yourself.

He continues:

    I have access to Maple, but am interested in other programs if they 
    exceed Maple in convenience and/or power.

Both do.  For group theory computations that is.

He continues:

    I am primarily interested in ftp-available programs, but commercial
    programs can also be of interest.

GAP is freely available. 'ftp' to one of the following servers

    'samson.math.rwth-aachen.de':
            Lehrstuhl D fur Mathematik, RWTH Aachen, Germany (137.226.152.6).

    'dimacs.rutgers.edu':
            DIMACS, Rutgers, New Brunswick, New Jersey (128.6.75.16).

    'math.ucla.edu':
            Math. Dept., Univ. of California at Los Angeles (128.97.4.254).

    'pell.anu.edu.au':
            Math. Research Section, Australian National Univ. (150.203.15.5).

and *first* get the file 'pub/gap/README', which will give you further
instructions.

Cayley is not free.  I don't know the exact price, which depents on
whether you want a single workstation license or a network wide license,
whether you are an educational institution, etc.; but it is on the order
of magnitude of US$1000.  For more information contact:

   The Secretary, Computational Algebra Group, 
   University of Sydney, NSW 2006, Australia
   Telephone: +61 2 692 3338 Fax: +61 2 692 4534
   Email: cayley@maths.su.oz.au

Regards, Martin.

--
Martin Sch"onert,   Martin.Schoenert@Math.RWTH-Aachen.DE,  +49 241 804551
Lehrstuhl D f"ur Mathematik, Templergraben 64, RWTH, D 51 Aachen, Germany
Newsgroups: sci.math
From: jbaez@riesz.mit.edu (John C. Baez)
Subject: Re: Valley of the tough-talking dolls
Organization: MIT Department of Mathematics, Cambridge, MA
Date: Tue, 13 Oct 92 16:45:59 GMT

In article <1992Oct13.025232.21851@galois.mit.edu> jbaez@riesz.mit.edu (John C. Baez) writes:

>"Gauss, the gray-eyed, rougishly handsome mathematical
>physicist, showed that a sum of independent identically distributed
>random variables converges to the distribution that bears his name."

Okay, just so nobody gets confused, Guass did not really prove the
central limit theorem.  He was also not (as far as I know) rougishly
handsome or grey-eyed.  


Newsgroups: sci.math,sci.physics
From: jbaez@riesz.mit.edu (John C. Baez)
Subject: Re: How do you draw a straight line?
Organization: MIT Department of Mathematics, Cambridge, MA
Date: Fri, 9 Oct 92 19:54:30 GMT

In article <1992Oct8.115013.2533@nuscc.nus.sg> scip1061@nuscc.nus.sg (Marc Paul Jozef) writes:
>
> The spacetime metric of GR defines geodesics
>in spacetime. A string or a rod or whatever
>define world*sheets* in spacetime; `straightness'
>of a line has nothing to do with geodesics of GR.

While it's true that over time a rod covers a 2-dimensional surface
in spacetime, the closest thing there is to a straight (spacelike) line
in GR is a spacelike geodesic.
From: jxh@math.ksu.edu (James C. Hu)
Newsgroups: sci.math
Subject: Re: electronic math notation
Date: 9 Oct 1992 19:39:35 -0500
Organization: Dept. of Mathematics, Kansas State University
NNTP-Posting-Host: hilbert.math.ksu.edu

Oswald Wyler <ow0a+@andrew.cmu.edu> writes:

>TeX notation forces you to do more typing, but at least there is a reasonable
>chance to be understood.  Some shortcuts are simply unacceptable.
>Example xi.  I'll read this as a greek letter, preceding eta.
>Example j=i+1.  Extremely dangerous; what do you do with a matrix with
>entries aij?  I'd rather type x_{i+1} and a_{i,j}.
>In any case, if your editor allows customizing (e.g. Emacs), you can easily
>define a macro that types out {} for you and leaves you inside.

I generally don't care what kind of notation is used as long as I
understand it.  If there is a reasonable legend to help navigate, that
is fine.  If it is TeX, and I am told so, that is fine.  If it is
written in functional notation, that is fine.  Precision is important,
but clarity more so.  Someday, we will be reading Usenet with WYSIWIG
screens, transmitted via some sort of standard way, and we won't have
to worry about it anymore :-).
-- 
James C. Hu (jxh@math.ksu.edu), 1804 Denholm Dr., Manhattan, KS 66502
I speak for me, the whole me, and nothing but for me.  So help me me.
Newsgroups: sci.math
From: dherity@cs.tcd.ie (Herity D.)
Subject: Re: The problem of Irish men
Organization: Trinity College, Dublin (Computer Science)
Date: Thu, 15 Oct 1992 11:17:27 GMT

In article <1992Oct15.063757.4956@noose.ecn.purdue.edu> kavuri@lips.ecn.purdue.edu (Surya N Kavuri ) writes:
>
>  Prove that there are at least two Irish men who shook 
>  hands the same number of times with other Irish men.
>
I can construct a case where that assertion is false. I'm an Irish man, so I'm
fortunate to have the opportunity for experimental verification :-).

Let there be four Irish men, none of whom have shaken hands.
The first man ignores the second and shakes hands with the third. He then
shakes hands with the fourth twice. Then :
The first man has shaken hands three times.
The second has shaken hands zero times.
The third has shaken hands one time.
The fourth has shaken hands two times.

Best Regards
Dominic Herity

Th
From: kubo@birkhoff.harvard.edu (Tal Kubo)
Newsgroups: sci.math
Subject: Re: Area of five sided polygon needed
Date: 13 Oct 92 08:06:16 GMT
Article-I.D.: husc3.1992Oct13.040617.16321
Organization: Dept. of Math, Harvard Univ.

In article <1992Oct12.200125.826@altair.selu.edu> fcs$1224@altair.selu.edu writes:
>Given a five sided polygon, is there a formula, in terms
>of its sides, for the area?

No, the sides don't uniquely determine the area, but...

1. There is a formula (due to Moebius?) for the area, S, in terms of the
   areas of the triangles A,B,C,D,E cut off by the diagonals:

        S^2 - (A+B+C+D+E)S + (AB+BC+CD+DE+EA) = 0
   
   This is almost certainly an exercise in Hobson's "Plane and Advanced
   Trigonometry".

2. There is an even more arcane formula for the product of areas of two
   polygons, in terms of the squared intervertex distances.  When the two
   polygons coincide, this gives the area in terms of these distances.
   I don't remember the exact formula, but I remember where I saw it: a
   centenarian French book, "Theorie des Equipollences" by Laisant.
   If people are sufficiently interested, I could look up the precise
   formula.

3. I've heard of Brahmagupta-type polynomial equations for the areas of
   *cyclic* N-gons, in terms of their sides. For N=3 (Heron) and N=4
   (Brahmagupta), the equations are well-known and of degree 4 in the
   sides.  For N=5,6,7 the degrees were said to be 7,7, and 38.
   Unfortunately I didn't see the formulas.   Can someone reading this
   provide more information?


-Tal   kubo@math.harvard.edu
Newsgroups: sci.math
From: mwaugh@utkvx1.utk.edu (marcie)
Subject: Math is Tuff! (ie. cool)
News-Software: VAX/VMS VNEWS 1.41    
Organization: University of Tennessee Computing Center
Date: Thu, 8 Oct 1992 13:27:00 GMT

Eureka! An incorrect assumption has been made:

   Barbie sez <something>
which we mistakenly process as "Math is tough." Actually, it came to me
over lunch that she is actually saying "tuff", as in "cool". Thus, Barbie
is revealed to be a dismal punster and all round natty math geek...

So, the thing for Mattel to do now is to launch a "Math is Tuff!" campain
starring our heroine as the charming and well dressed scholar-from-Hollywood!
Viz. Barbie's "Math is Tuff!" t-shirts sporting Barbie, lips pouting around
the eraser of her "Math is Tuff!" mechanical pencil as she winks coyly over
her specs....elbows propped on her math book...
Lunch boxes....pencil cases...holographic mechanical pencils...
Or how about "Math is Tuff!" hot drink mugs with the multiplication tables
on them... the answers appear at a certain temperature!

But, the truely neat-o thing is that, aside from making math totally cool
(only Mattel could have pulled it off), Mattel would really rake in the bucks
as Moms and Dads everywhere purchase these Politically Correct items for
their little girls...'nuff said! 

The funniest thing is... I bet it would work... 
-------------------------------------------------------------------------------
888*********88888********88888********88888********88888********88888******8888
	Marcie                             email : mwaugh@utkvx3.utk.edu  
888*********88888********88888********88888********88888********88888******8888
-------------------------------------------------------------------------------
Newsgroups: sci.math,sci.physics
From: matmcinn@nuscc.nus.sg (Mcinnes B T (Dr))
Subject: Re: "The Universe of MOTION" (book review)
Organization: National University of Singapore
Date: Thu, 15 Oct 1992 01:37:18 GMT

jbaez@riesz.mit.edu (John C. Baez) writes:
:   "THE UNIVERSE OF MOTION", by Dewey B. Larson, 1984, North 
:           Pacific Publishers, Portland, Oregon, 456 pages, indexed, 
:           hardcover. 
: 
: Here we have about 92 capitalized words apart from book titles.
: We have one claim to have revolutionized astronomy without good
: evidence:
: 
:                "THE UNIVERSE OF MOTION" contains FINAL SOLUTIONS to 
:           most ALL astrophysical mysteries. 
:           
: Minus the 5-point credit each post gets, this gives a 455-point crackpot index.
: However, we also have claims that BOTH relativity AND quantum mechanics are
: fundamentally wrong, for 20 points.  (Indeed, a wholesale rejection of higher 
: mathematics.  This should perhaps count extra.)           
                ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

No "perhaps"! This is one of the most characteristic signs. Of course,
this will lead to labelling as "crackpots" some of the most celebrated
professors at leading US universities. No bad thing, really.

Newsgroups: sci.math.num-analysis
From: sassoj@rs6419.ecs.rpi.edu (John J. Sasso Jr.)
Subject: NEED REFS ON NUMERIC ALG.'s
Organization: Rensselaer Polytechnic Institute, Troy NY
Distribution: usa
Date: Thu, 8 Oct 1992 01:09:38 GMT


Hi!

   Can anybody refer me to journals that discuss numerical algorithms and
   also give the source code (preferably in C)?  I have been using the 
   Numerical Recipes in C book, but there are some things that I need that
   aren't in there.  I know of one such journal, Computers in Physics (?), 
   which always has a column on numerical algorithms, some of which aren't
   in N.R. in C.

   BTW, the newest edition of N.R. in C is out, except that it it in Fortran.
   Does anyone know if and when the C version will be out?

                   Thanks,

                   John

P.S.  I have been trying to find source code for adaptive filters, too.
From: dsimon@atlas.nafb.trw.com
Newsgroups: sci.math.num-analysis
Subject: Re: Eigen problem
Date: 9 Oct 92 12:10:44 PST

>>I have a large real symetric banded matrix (1000x1000) that I want
>>to find the first 30 eigenvectors and eigenvalues for. This matrix
>>is singular with the first 6 eigenvalues being 0.

Have you considered the Lanzcos method?  It is particularly useful
when a few of the largest or smallest eigenvalues/eigenvectors are desired.
It is discussed in chap. 9 of:
G. Golub and C. Van Loan, "Matrix Computations," London or Baltimore,
Johns Hopkins University Press, 1989.
This book is also an excellent general reference for matrix computations.
------------
Dan Simon
From: CT82@music.mus.polymtl.ca (CT82000)
Newsgroups: sci.math.num-analysis
Subject: Interpolation problem
Date: 15 Oct 92 13:43:41 GMT
Organization: Ecole Polytechnique de Montreal

I want to do numerical interpolation on grid following grid

   o   o   o   o   o       o   o   o   o   o

   o   o   o   o   o

o  o   o   o   o   o   o   o   o   o   o   o

   o   o   o   o   o   o

o  o   o   o   o   o   o   o   o   o   o   o

   o   o   o   o   o   o

o  o   o   o   o   o   o   o   o   o   o   o

Each of those points is an electrode receiving a biological
signal.  The electrodes are on the body surface and occasionnally
few of them stick out resulting in a lost of the signal.  I want to
utilise the informations on the rest of the electrodes to rebuild
a signal were electrodes stick out.  I want to know if anybody out
there can help me.

Remember that the signalsare time varying and that I have 512 samples
(or ms) to treat.  I dispose of only 30 sec max of computer time on
a micro-vax II.

               Thanks for your response!!!!!!!
               ct82#music.mus.polymtl.ca
Newsgroups: sci.math.num-analysis
From: wskelly@laurel.ocs.mq.edu.au (William Skelly)
Subject: lfit and svdfit in Numerical Recipes
Organization: Macquarie University, Australia.
Date: Fri, 9 Oct 1992 01:28:42 GMT

If someone has used either the lfit or svdfit routines
in numerical recipes, perhaps they could help with with
the following questions:

1. how are the coeffiecients entered in the A matrix?

2. the user defined function funcs(x(i),afuncs,ma) is
   somewhat of a mystery to me. I supply the x coordinate
   and return the y value from my function? whats ma for?

cheers,
chris
From: mhiroshi@tansei.cc.u-tokyo.ac.jp (H. Murakami)
Newsgroups: sci.math.num-analysis
Subject: Any letter journal for the numerical analysis or computations?
Date: 11 Oct 92 15:07:18 GMT
Organization: Hokkaido Univ. However I am subject to tansei for JUNET.

What is the "letter" journal for the Numerical Computations
or the Numerical Algorithms?
I know there are Physical Review Letter, Chemical Physics Letter,...
but I do not know the letter journal for the numerical computations.

	Hiroshi Murakami
	mhiroshi@tansei.cc.u-tokyo.ac.jp
Newsgroups: sci.math.num-analysis
From: jwang@rad.rpslmc.edu (jinzhao wang)
Subject: inverting a matrix
Keywords: MATRIX, INVERSION, DETERMINANT
Reply-To: jwang@rad.rpslmc.edu
Organization: Rush Presbyterian-St. Lukes Medical Center, Chicago IL 60612
Date: Fri, 9 Oct 1992 15:35:38 GMT

I am looking for a computer program in source code level (prefer in C) for efficient calculation of DETERMINANT and INVERSION of a matrix. 

Thanks for help.

Jinzhao.
From: akyildiz@vax.oxford.ac.uk
Newsgroups: sci.math.num-analysis
Subject: Re: complex roots
Date: 14 Oct 92 15:34:51 GMT
Organization: Oxford University VAX 6620

In article <19921006.182543728139.NETNEWS@ALIJKU11>, mencarna@risc.uni-linz.ac.at (Mark J. Encarnacion) writes:
> Given a polynomial of degree n with complex coefficients, I need to compute
> all n complex roots (multiple or otherwise) of this polynomials.  I tried
> the code given in Numerical Recipes in C, pp. 280-282, which is supposed to
> be a sure-fire technique.  However, for some polynomials (e.g. x^3 - 1) I get
> wrong results.  Is it known that this code contains bugs?  If not, I must be
> doing something wrong, although I used the code verbatim.  Any advice that will
> help me write a C program that works will be appreciated.
> Thanks,
> Mark
From: toma@hpsad.sad.hp.com (Tom Anderson)
Date: Tue, 6 Oct 1992 22:37:51 GMT
Subject: Re: "S" programing language?
Organization: HP Signal Analysis Division - Rohnert Park, CA
Newsgroups: sci.math.num-analysis

> Does anyone know if a version of the programing language "S" is available
> that would run on a 486 (i.e. under DOS, WIN3.1, or OS/2 v2).

You might try asking mktg@statsci.com or calling StatSci at (206)283-8802 .

Tom Anderson   toma@hpsad.sad.hp.com
Newsgroups: sci.math.num-analysis