HDTenEightyP/NetNews huggingface dataset:
From: deghare@daisy.uwaterloo.ca (Dave Hare)
Subject: Re: Hare Hare?  (Re: Geometry = the mind of God.)
Organization: University of Waterloo
Date: Sat, 23 Jan 1993 13:47:13 GMT

In article <gm7qXB3w165w@kalki33.lakes.trenton.sc.us> system@kalki33.lakes.trenton.sc.us (Kalki Dasa) writes:
>jwo@cs.cornell.edu (John W. O'Leary) writes:
>
>> >       ---------------------------------------------------------
>> >      |                Don't forget to chant:                   |
>> >      |                                                         |
>> >      |  Hare Krishna Hare Krishna, Krishna Krishna Hare Hare   |
>> >      |       Hare Rama Hare Rama, Rama Rama Hare Hare          |
>> >      |                                                         |
>>           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
>> What is this nonsense doing in sci.math?
>
>This is not nonsense. It is good sense. Anyone who reads it will
>experience extreme good fortune. Besides, this is a signature, not a
>message body. The statement about "Moe, Larry, Curly..." was part of the
>message body, and therefore it is categorically different from my
>signature. Furthermore, since everyone knows that the Three Stooges are
>deliberate embodiments of nonsense, whereas everyone knows that Hare
>Krishna is deliberate truth, there is no comparison between my signature
>and the foolish rantings of some atheist.
>
>Nice try, demon.

It seems to me that for foolish rantings you're getting pretty close to
the lead, here.  Especially in this forum, wild assertions about what
"everybody knows" are worthless.  In my (rarely humble) opinion, the
Three Stooges are the closest to embodiments of truth.

I'm beginning to regret that I ever started this damnable religion.
It's just that bunnies are so cute, you know...

Now, I've read your signature, so I'm supposed to experience extreme good
fortune.  However, by posting this message I suspect I'm letting myself in
for fortune of quite another kind.  Which one will win out?  Or will they
just average out to my usual everyday kind of fortune?

:-)

Dave Hare
Newsgroups: sci.math
From: hrubin@pop.stat.purdue.edu (Herman Rubin)
Subject: Re: Ancient Number Systems (Was: why is pi irrational)
Organization: Purdue University Statistics Department
Date: Fri, 22 Jan 1993 15:14:26 GMT

In article <1993Jan22.002827.19121@ns1.cc.lehigh.edu> fc03@ns1.cc.lehigh.edu (Frederick W. Chapman) writes:

			.......................

>I've heard that letters of the Hebrew alphabet all have numerical
>equivalents, which were used in ancient scriptures as the basis of a number
>system.  I would be interested in knowing more about this, since it must
>surely qualify as a very early example of a number system.  Doesn't some
>ambiguity occasionally arise as to whether a given string of characters
>should be interpreted as a word or as a numerical quantity?  

>Didn't classical Greek also assign numerical values to the letters of the
>alphabet and employ a similar number system?  (For example, there is a New
>Testament passage that speaks of "the *number* of his name" in reference to
>the anti-Christ.)

Greek and Hebrew used essentially the same idea; the first 9 letters were
the numbers from 0-9, the next 9 the tens from 10-90, and the next 9 the
hundreds from 100-900.  Now Greek has only 24 letters, so 3 letters which
were dropped in the evolution of the Greek alphabet were added.  Also 
Hebrew has only 22 letters, so only the first 4 hundreds were handled,
others being done by combination (600 = 400 + 200), although later the
5 forms of letters which are different as final letters in a work were
adjoined to make 27.  Both of these languages, as well as other languages,
wrote their numbers "big-endian" with the more significant digits first.
The Greeks used an overscore to multiply by 1000.

As for how they did arithmetic, it was much like we do it; they were
quite aware that the corresponding digits in the different places 
had the corresponding properties. 
-- 
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
Phone: (317)494-6054
hrubin@snap.stat.purdue.edu (Internet, bitnet)  
{purdue,pur-ee}!snap.stat!hrubin(UUCP)
Newsgroups: sci.math
From: khchung@monu1.cc.monash.edu.au (Mr KH Chung)
Subject: Re: Why Algebra...Important
Summary: coffee
Organization: Monash University, Australia.
Date: Mon, 25 Jan 1993 02:33:40 GMT

In article <7459@ucsbcsl.ucsb.edu>, unicef@epilogue.mcl.ucsb.edu (Joel Rising) writes:
> Math is a language, but a far more powerful one.  To convince youself,  
> write out some equation, and then try to describe all the relationships it  
> embodies.  It's not just "x=ky" but also "x is proportional to y" or "as x  
> goes up one, y goes up by some factor k."  Relate the variables to some  
> real-world quantity, and the equation becomes even more rich with  
> information.  Perhaps a whole paragraph could be gleaned from "x=ky."

On the other hand, how do you order a cup of coffee using only mathematical
notation?
:-)
Newsgroups: sci.math,sci.physics
From: rbsalgad@rodan.acs.syr.EDU (Rob Salgado)
Subject: Looking for references:  CONTACT MANIFOLDS in physics
Organization: Syracuse University, Syracuse, NY
Date: Sat, 23 Jan 93 23:20:46 EST

I am interested in references concerning contact manifolds and their
uses in physical problems, particularly in general relativity.
I am aware of their use in time-dependent hamiltonian mechanics.

Please respond by email.  Thanks.

                                        Rob Salgado
                                        salgado@suhep.phy.syr.edu
Newsgroups: sci.math
From: Dave Dodson <dodson@convex.COM>
Subject: Re: Lotteries???
Originator: dodson@bach.convex.com
Date: Thu, 28 Jan 1993 22:04:35 GMT
Reply-To: dodson@convex.COM (Dave Dodson)
Organization: Engineering, CONVEX Computer Corp., Richardson, Tx., USA
X-Disclaimer: This message was written by a user at CONVEX Computer
              Corp. The opinions expressed are those of the user and
              not necessarily those of CONVEX.

In article <1993Jan28.183314.10129@fuug.fi> an1060@anon.penet.fi writes:
>X-Anon-To: sci.math
>
>I am curious to know some "strategies" for increasing one's expected
>winnings in a state lottery.

If you really want to make money in the lottery, become licensed to sell
the tickets.  You win with every sale!  Whether the customer wins or not!

If you want to win by buying tickets, I think the best way to increase
your expected outcome is not to play.  Lotteries are not zero-sum games
amongst those who buy the tickets, so the expected return from a ticket
is less than its cost, perhaps 50% less.

----------------------------------------------------------------------

Dave Dodson		                             dodson@convex.COM
Convex Computer Corporation      Richardson, Texas      (214) 497-4234
Newsgroups: sci.math
Subject: Re: pyramid volume
From: <JOEYC@CUNYVM.BITNET>
Date: Thursday, 21 Jan 1993 23:34:56 EST
Organization: City University of New York/ University Computer Center

=========================================================================
Organization: City University of New York/ University Computer Center
Date: Thursday, 21 Jan 1993 23:10:31 EST
From: <JOEYC@CUNYVM.BITNET>
Newsgroups: geometry.college
Subject: Re: Volume of pyramid

In some sense, the volume of a pyramid can not be determined without calculus.
 If two polygons have the same area, than it is possible to cut one of them
  up into polygonal jigsaw pieces and reassemble the pieces to form the other
  polygon.  This is known as the bolyai-gerwien theorem. Polygons with the
  above property are called equidecomposable.  In three space, Hilbert asked
for an analog of this theorem in his famous turn of the century problem set.
  Max Dehn showed that a cube and the regular tetrahedron of the same volume
 are not equidecomposable.  Furthermore, there are tetrahedra of the
same volume some of which are equidecomposable, but some of which are not!
   Thus, "non-elementary" methods are needed.  For a detailed discussion see
 V.  Boltyianskii, Hilbert's Third Problem, Wiley/Halsted, l978.




-------
JOE MALKEVITCH  DEPT. OF MATH. YORK COLLEGE (CUNY) JAMAICA, NY  11451
EMAIL: JOEYC@CUNYVM OR JOEYC@CUNYVM.CUNY.EDU  PHONE: 718-262-2550 (2551)
Newsgroups: sci.math
From: norm@netcom.com (Norman Hardy)
Subject: a few easy Geometry problems
Organization: Netcom - Online Communication Services (408 241-9760 guest)
Distribution: h
Date: Sun, 24 Jan 1993 19:31:48 GMT

S is a bounded measurable set in the plane. Show that there is are two 
perpendicular lines that divide S into four equal parts. Show also that there 
are three concurrent lines that divide S into six equal parts.

What is the largest octahedron that will fit in a unit cube? The other 
platonic solids (in place of the octahedron) are interesting for other 
reasons.

What is the "girth" of the various platonic solids? The girth of a solid is 
the length of the shortest loop of string thru which you can push the solid. 
(I have no proper proof my girth estimates but my estimates are constructive 
and I would bet 10 to 1 that shorter loops cannot be used.)

The following are not so easy.

A closed curve on a sphere meets every great circle. Prove that it is as long 
as a great circle. (This problem was attributed to Besicovich who visited 
Berkeley about 1954. I know a proof (not mine) that was discovered then.)

How does a cube of density 1/2 float in water? What about other densities and 
other platonic solids?
From: micj@origen.math.earlham.edu (Mic Jackson)
Newsgroups: sci.math
Subject: Re: Geometer's Sketchpad
Date: 26 Jan 93 20:09:30 GMT

In article <C1A02n.4E4@news.udel.edu>  writes:
> 
> Does anyone have any information on the program Geometer's Sketchpad,,
> such as how to obtain a copy?   Thanks for your help.
> 
> 	Dick Sacher (dsacher@sloth.cns.udel.edu)
> 	University of Delaware

Key Curriculum Press
2512 Martin Luther King Jr. Way
PO Box 2304, Berkeley, CA 94702
1-510-548-7638

Have fun...Mic Jackson
From: jk87377@lehtori.cc.tut.fi (Kouhia Juhana)
Newsgroups: sci.math
Subject: Re: godel theorem and godel theorem ....(Re: Where's
Followup-To: poster
Date: 26 Jan 1993 15:04:51 +0200
Organization: Tampere University of Technology
Distribution: world
NNTP-Posting-Host: cc.tut.fi

In article <1jjuinINN6sg@usenet.INS.CWRU.Edu> cxm7@po.CWRU.Edu (Colin
Mclarty) writes:
>
[ 31 lines quote deleted ]
>	Irresponsibly.  Because it is fun to be irresponsible,

*P l e a s e*, do edit the quote to minimum.
It is very annoying see an article with large quoted text,
and then *one* line comment (like the above, or "Me too.").

Consult your sys.adm. if you don't know how the editor is used.
If you don't have time to edit, then don't reply.
If you find all quoted text important, then something is wrong.

Juhana Kouhia
Newsgroups: sci.math
From: an1060@anon.penet.fi
Subject: Topological Vector Spaces
Organization: Anonymous contact service
X-Anonymously-To: sci.math
Date: Fri, 22 Jan 1993 22:09:20 GMT

X-Anon-To: sci.math


Hello,

I have the following book for sale:

Topological Vector Spaces, by Narica & Beckenstein, Marcel Dekker, Inc.
Monographs & Textbooks in Pure & Applied Mathematics #95, 1985.

List Price is:  $110    I ask:  $80 + shipping charges

It is in excellent condition!!

Please reply to:  mantell@ams.sunysb.edu

Thanks

Abe


-------------------------------------------------------------------------
To find out more about the anon service, send mail to help@anon.penet.fi.
Due to the double-blind system, any replies to this message will be anonymized,
and an anonymous id will be allocated automatically. You have been warned.
Newsgroups: sci.math,sci.crypt
From: torkel@sics.se (Torkel Franzen)
Subject: Re: Non-Standard Analysis and philosophy
Organization: Swedish Institute of Computer Science, Kista
Date: Thu, 21 Jan 1993 19:48:06 GMT

In article <1993Jan21.180359.21766@ulrik.uio.no> solan@smaug.uio.no 
(Svein Olav G. Nyberg) writes:

   >Under which philosophies of mathematics is non-standard
   >analysis possible, and to what extent?

  Your question makes no apparent sense. Non-standard analysis is simply a
field of mathematics that exists, hence is possible.
From: mnewman@comlab.ox.ac.uk (Matthew Newman)
Newsgroups: sci.math
Subject: Lattice points in balls
Date: 26 Jan 93 14:50:15 GMT
Organization: Oxford University Computing Laboratory, UK
Originator: mnewman@client40.comlab

It of course depends upon which lattice you're using. One direction
might be to look at the kissing number for unit balls centered on
a particular lattice, and guesstimate it that way. A good reference
to the subject of sphere packing is J.H. Conway and N.J.A. Sloane's
chapter on "Codes, Groups and Sphere Packing" in a book which has
a very similar title to that chapter, and which they edited.
From: leranth@miller.cs.uwm.edu (Thomas)
Newsgroups: sci.math
Subject: Lattice Basis Reduction
Summary: References??
Date: 21 Jan 93 18:56:06 GMT
Organization: University of Wisconsin, Milwaukee
NNTP-Posting-Host: 129.89.9.13


   I have a paper here on   Lattice Basis Reduction by Schnorr & Euchner.

   I am looking for further references on the topic besides the
    references in the bibliography.  [perhaps recent improvements on this 
                                       (not very likely)]

    [I have the Lagarias & Odlyzko paper and somewhere I have a copy
         of   3  ]
             L
                                   
  Tom
-- 
leranth@miller.cs.uwm.edu       |    P ? NP      Factoring ? P    
leranth@point.cs.uwm.edu        |    DFA = NFA = REG
leranth@csd4.csd.uwm.edu        |                     Time is irrelevant.
Conserve space ... hash
Newsgroups: sci.math
From: orourke@sophia.smith.edu (Joseph O'Rourke)
Subject: Re: pyramid volume
Organization: Smith College, Northampton, MA, US
Date: Fri, 22 Jan 1993 14:36:33 GMT

In article <1993Jan21.232901.29259@netcom.com> norm@netcom.com (Norman Hardy) writes:
>The unit cube can be divided into three congruent solids each of which
>is such a pyramid. The points (0,0,0), (0,0,1), (0,1,0), (0,1,1), (1,0,0)
>span such a body.

	Can you describe the three solids?  This should be easy to see,
but I'm not seeing it...

>I don't remember how Euclid proved this but these were all tools that
>he had.

	Another correspondent (John.Harper@vuw.ac.nz) suggested Euclid
also.  And I find this in Book XII, Prop. 7:

	"Any prism which has a triangular base is divided into three
	pyramids equal to one another which have triangular bases."  

The argument is equivalent to the one I posted earlier.  From this Euclid
concludes the "Porism" (what is a "porism" incidentally?): 

	"From this it is manifest than any pyramid is a third part
	of the prism which has the same base with it and equal height."
Newsgroups: sci.math
From: psm@mullian.ee.mu.OZ.AU (Phil Malin)
Subject: Taking derivative w.r.t. a matrix...
Organization: Computer Science, University of Melbourne, Australia
Date: Thu, 21 Jan 1993 08:33:15 GMT

Hi all.

Previously someone posted a question about taking the derivative of
a scalar function of a matrix w.r.t. the matrix, more precisely

if
				f=x^{T}Ax			(using Latex convention)
then
				df/dA=xx^{T}

which is more apparent if we consider the problem in the following form;

				f=sum_{i,j} a_{ij}x_{i}x_{j}
so
				@f/@a_{ij}=x_{i}x_{j}

where @ is the partial derivative.

Even more previously I posted a question along the same lines but using
tensors of rank two (or even higher) rather than matrices, so I would be
taking the derivative of a scalar function w.r.t. a tensor of order
greater than one.  Basically I was told (in a nice way) that it did not
make sense :-)  Being an engineer it seems intuitive that the above
formulation is correct but I was wondering if it was formally correct.
To get the heart of the matter I'll briefly explain what I'm on about;

I have a function

				y^{i}=f(z^{j})
				z^{j}=w^{j}_{k}x^{k}+b^{j}

which represents a simplified neuron.  I could use matrices and summations
like everyone else but I think it looks nicer if I use this shorthand
notation by defining the matrix as a (1,1) tensor, etc.  The problem comes
when it comes time to compute the p.d. of y^{i} w.r.t. the tensor w^{i}_{j}.
Again, intuitively (and consistent with everyone else's results) I obtain

				@y^{i}/@w^{p}_{q}=f'^{i}_{p}()x^{q}

My question is - is this notation formally correct?  It seems obvious but
that's not a good enough reason to accept it.

I might also add that sometimes this summation convention is a bit annoying.
Normally y^{i}=0 for all z^{j} when i!=j, but if I write f'^{i}_{i} I get
a summation which I don't want.  Is there any way around this.  Maybe
the bottom line is not to use the tensor formulation.  Maybe (and this
is the most probable reason) my formulation is incorrect to begin with.
But I like to think that there is an elegant and formally correct expression
of this problem.

Any help (and thoughts) would be appreciated.

Phil Malin.
psm@mullian.ee.mu.oz.au

Xref: sparky sci.math:18728 rec.arts.books:26235 sci.philosophy.meta:3151
From: kosowsky@zener.harvard.edu (Jeffrey J. Kosowsky)
Newsgroups: sci.math,rec.arts.books,sci.philosophy.meta
Subject: Re: Hare Hare?  (Re: Geometry = the mind of God.)
Date: 25 Jan 93 16:39:54 GMT
Article-I.D.: zener.KOSOWSKY.93Jan25113954
	<gm7qXB3w165w@kalki33.lakes.trenton.sc.us>
Organization: Harvard Robotics Lab, Harvard University


 
Your religious advertisement wastes bandwidth and is totally
inappropriate for a sci.math group. The purpose of this newsgroup is
*not* to proselytize your particular branch of worship. Your message
 is at best superfluous (to those who already share your belief) and
 at worst offensive (to those who have alternative beliefs). So, since
 at the very least you are wasting bandwidth, please trim your
 signature!  I find your message especially offensive and
 hypocritical, since just a couple of days ago you berated someone
 else for advertising a sale of some of his *personal*  *math* books.


Jeff
Newsgroups: sci.math
From: abian@iastate.edu (Alexander Abian)
Subject: ORDINARY LANGUAGE       att: Mr. Joel RISING
Organization: Iowa State University, Ames IA
Date: Mon, 25 Jan 1993 00:40:03 GMT

Dear Mr. Rising,

    And yet,  you have communicated in ORDINARY LANGUAGE
    your praising of the communicative powers of the
    Mathematical language.

    
    By the way, I liked what you wrote.    Alexander ABIAN.


----------------------
TIME HAS INERTIA
(i.e. Time is matter)
From: loeb@greco-prog.fr (Daniel LOEB)
Newsgroups: sci.math
Subject: Re: Combinatorial Problems
Date: 27 Jan 93 14:15:36 GMT
Reply-To: loeb@geocub.UUCP (Daniel LOEB)
Organization: Greco Programmation du CNRS

>In article <93022.114846DCC117@psuvm.psu.edu> <DCC117@psuvm.psu.edu>
>posed the following problem: 
>   A 6-by-6 chessboard is perfectly covered with 18 dominoes.
> Prove that it is possible to cut it either horizontally or
> vertically into two non-empty pieces without cutting through
> a domino, that is, prove there must be a fault-line.

Gabor Megyesi gave a proof.
His proof also shows that there are no 2xn, or 4xn, or 6x1, or 6x3, or
fault-less rectangles. 

On the other hand here is a 6x5 fault-less rectangle:
aabcc
debff
dehhg
ijjkg
innkl
mmool

And here is a 6x8 fault-less rectange:
aacced
hbbfed
hijfgg
kijllm
knwxxm
onwvuu
oqqvst
pprrst

We can now ask the following question. For what i (even) and what j is
there a fault-less rectangle of size i x j.

-- 

Yours, Daniel Loeb				loeb@geocub.greco-prog.fr
HOME 	150, cours Victor-Hugo; Appt D45; 33000 Bordeaux France
WORK	LABRI; Universite de Bordeaux I; 33405 Talence Cedex France
Newsgroups: sci.math
From: harshec@mail.auburn.edu (Eric C. Harshbarger)
Subject: One more thing 
Reply-To: harshec@mail.auburn.edu
Organization: Auburn University
Date: Thu, 21 Jan 1993 23:05:53 GMT


Hey, before I get corrected...
I realized that the last example question in my post
above about whether pi was in set S or not was idiotic
since pi does not lies in [0,1]. 

pi/4 would make a lot more sense.

Whew... I'm sorry... that problem was a pain to describe.
Hope I don't have to make any more adjustments.

				E.C. Harshbarger
From: mjs@hubcap.clemson.edu (M. J. Saltzman)
Subject: Re: Top math journals (was: sci.math.* groups
Organization: Clemson University, Clemson SC
Date: Mon, 25 Jan 1993 19:28:32 GMT

In article <1k0p4rINNonp@function.mps.ohio-state.edu> edgar@math.ohio-state.edu (Gerald Edgar) writes:
>In article <C1DE7M.J3p@cmcl2.nyu.edu> hutchins@acf3.nyu.edu (Carol Hutchins) writes:
>> 	Please let me know once you come to a consensus
>>on which 6 are the "top math journals".
>>
>>			Thanks.
>>			Carol Hutchins
>>			Library
>>			Courant Institute
>
>A paper on this, "Pure and Applied Mathematics Journals: What They Cite
>and Vice Versa", by Eugene Garfield, appeared in _Current Contents_
>5(15):5-10, March 8, 1982.  He measured the "most significant" math
>journals in five different ways.  Of course, the five results did not agree.
>Journals ranked high in four of the five ratings were:
>   Acta Mathematica-Djursholm

Most appropriate group for topics in this journal?  Sci.math

>   American Journal of Mathematcs

Sci.math

>   Annals of Mathematics

Sci.math

>   Bulletin of the American Mathematical Society

Sci.math

>   Inventiones Mathematica

Sci.math

>   Journal of Functional Analysis

Sci.math.func-anal?

>   Mathematics of Computation

Sci.math.num-anal?  Or comp.theory?

>   Proceedings of the London Mathematical Society

And sci.math

Well, it was an interesting idea...

-- 
		Matthew Saltzman
		Clemson University Math Sciences
		mjs@clemson.edu
Newsgroups: sci.math
From: rdz@sail.stanford.edu (Ramin Zabih)
Subject: Stationary points on jello
Organization: Computer Science Department, Stanford University
Date: Sun, 24 Jan 1993 05:05:06 GMT

Suppose that you are given some surface that deforms totally
arbitrarily.  Is there any sensible definition for what it would mean
for a point to stay in the "same place" as the surface deforms?
--

Ramin Zabih                                  Computer Science Department
rdz@Sail.Stanford.EDU                        Stanford University
Newsgroups: sci.math