HDTenEightyP/NetNews huggingface dataset:
From: lew@cbnewsd.cb.att.com (lewis.h.mammel..jr)
Subject: Re: Naming Large Numbers
Organization: AT&T
Date: Thu, 17 Dec 1992 17:39:42 GMT
Followup-To: rec.puzzles
Summary: Mega & Moser again

In article <1992Dec16.010733.10592@CSD-NewsHost.Stanford.EDU>, amorgan@Xenon.Stanford.EDU (Crunchy Frog) writes:
> 
> Consider another case.  Let triangle x be x^x.  Let square x be
> triangle triangle ..... x.  Let circle x be square square ..... x
> \   x times     /                            \   x times     /
> 
> circle 2 is a *large* number.  It can't be written with standard
> notation.  circle 10 is beyond the mind-pummling huge and moves into
> the brain squooshingly gigantic.  Let us then pause to consider
> circle 10^100 & circle 10^100 which I modestly suggest be called
> frog's number.

I already described this notation in a previous thread. It is
in Philip Davis's LORE OF LARGE NUMBERS, except that the circle
should be a pentagon. Counting "triangle, square, circle" is like
counting "one, two, and a heap". What you are calling "circle 2"
is the Mega.

As I noted in my post, "circle" isn't all that powerful an
operator.  This is because "triangle triangle x" is just
(x^x)^(x^x) and not x^(x^(x^x)).

Actually, I think I somewhat underestimated it before, but
right now I still think "circle 2" is less than a tower of
257 256's, which is writable. ( Before I had the tower growing
by zero per iteration instead of one per iteration. )

> What I have always found... humbling is the word I want I guess
> is that however large these numbers may be, they aren't a patch on
> infinity.  Even frog's number is *nothing* compared with some
> of the *really* big numbers out there.

Yeah, like for example the Moser ( 2 in a Mega-gon ). But you're
right of course. What about a Moser in a Moser-gon! and so on.
It's all just counting.

> C Frog

Lew Mammel, Jr.
Newsgroups: sci.math
From: hoeij@sci.kun.nl (Mark van Hoeij)
Subject: computing puiseux expansions
Keywords: compute
Organization: University of Nijmegen, The Netherlands
Date: Wed, 16 Dec 1992 11:39:20 GMT

I have made a little programm for computing puiseux expansions. It can
still be improved something, but that would only be useful if it is faster
than the traditional Newton method.

Does anybody out there have an implementation for puiseux expansions. I 
would be very curious about the computertime it takes for a number of
examples. eg the polynomial over C[x]:
(y-1)^8+x*(x^2+x+1)^7*(y-1)+(x^2+x+1)^6

Give for instance an expansion for x=RootOf(x^2+x+1), and give the expansion
modulo x^5. My algorithm needs a few minutes for this. 




thanks in advance,
                       Mark van Hoeij



Newsgroups: sci.math,sci.physics,sci.bio,sci.chem,misc.education
From: atems@igor.physics.wayne.edu (Dale Atems)
Subject: Re: Can we have sci.chem back? (was Re: TIME HAS INERTIA abian stuff)
Organization: Wayne State University, Detroit, MI
Date: Tue, 15 Dec 1992 00:01:10 GMT

In article <1992Dec14.191434.20612@ucsu.Colorado.EDU> knapp@spot.Colorado.EDU (David Knapp) writes:
>Can we please not consume so many net.resources to bashing ABIAN?
>Will you all kindly look at how many groups you are crossposting to?
>How about making an alt.abian group or taking this to email?

The cross-posting was done either by Abian himself, or by someone who
mistook his postings for real science. Your suggestion is an excellent
one. Until this flood subsides, please use killfiles if your
newsreader supports this feature.

------
Dale Atems
Wayne State University, Detroit, MI
Department of Physics and Astronomy
atems@igor.physics.wayne.edu
From: ericj@eniac.seas.upenn.edu (Eric J Reiter)
Newsgroups: sci.math
Subject: help with vectors
Date: 21 Dec 92 04:46:05 GMT
Organization: University of Pennsylvania



Can anyone tell me how to find the distacne between this two vectors:

r=i-2j+(i-k)t
r=2j-k+(j-i)t

I am studying for a Final Exam and it is now too late to call my TA.  Any help would be appreciated.  Thanks in advance.  Eric.  Please send via email to 
ericj@eniac.seas.upenn.edu

--



-------------------------------------------------------------------------------
Newsgroups: sci.math
From: seeta@eng.wayne.edu (Seetamraju UdayaBhaskar Sarma)
Subject: Re: Orbital motion question
Reply-To: seeta@eng.wayne.edu
Organization: College of Engineering, Wayne State University, Detroit Michigan, USA
Date: Wed, 16 Dec 1992 20:20:06 GMT

In article 1832@murdoch.acc.Virginia.EDU, mrw9e@kelvin.seas.Virginia.EDU (Michael Robert Williams) writes:
-+>In article <1ggfesINN29q@access.usask.ca> choy@skorpio.usask.ca (I am a terminator.) writes:
-+>>
-+>>Let the vector r be the position of a mass m orbiting in a plane around
-+>>another mass M (which doesn't move) at the origin. The mass m is
-+>>accelerated such that
-+>>
-+>>   2
-+>>  d r     KMm
-+>>m --- = - ---- r
-+>>    2        2
-+>>  dt      |r|
-+>>                                           r
-+>>                                         d---
-+>>                                          |r|
-+>>What is the scalar product of r/|r| and ------ ?
-+>>                                          dt
-+>>
-+>>If m moved in an elliptical path, can the scalar product be zero?
-+>>
-+>
-+>The scalar product of r/|r| and d(r/|r|)/dt is called sigma, and is 
-+>always zero for a circular orbit, but has different values for each point
-+>on an elliptical, parabolic or hyperbolic orbit. sigma is equal to 
-+>zero at the peri- and apo-apsis of any orbit, regardless of type. If
-+>you divide sigma by the magnitudes of r/|r| and d(r/|r|)/dt, you get
-+>the cosine of a quantity called the flight path angle.


clearly   the following derivative is always zero for a circular motion...
    r
  d---
   |r|
 ------ ?
   dt

As for ellipses, parabolic surfaces, for a 2-D space, the scalar product
	rx * sx + ry * sy
where rx is the x component of the radius vector, and the similarly ry...
sx si the x component of the slope vector and sy the y component...

for it to be 0,   rx         sy
		----- =  -  ----
		  ry 	     sx

Not a very ommon phenomenon (i.e., unlikely to ocur at all points of non-cicrcular
closed curves...


Seetamraju Udaya Bhaskar Sarma
(email : seetam @ ece7 . eng . wayne . edu)


Newsgroups: sci.math
From: Bernie Ivens <ivens@forum.swarthmore.edu>
Subject: re. Implication -Truth Table
Organization: The Geometry Forum
X-Useragent: Nuntius v1.1
Date: Mon, 14 Dec 1992 02:07:14 GMT

		I used to teach Truth Tables in a Geometry course in a high school
class. My approach was to somehow get the students to understand that the
IF part of an implication guarantees the THEN part.  The second thing
that we were seeking was the truth. We are not interested in falsehoods. 

		I would use this example. 
If it rains today then the ground will get wet.
            p         then         q
Raining today guarantees wet ground. 

If it rains and the ground is actually wet ,  I have told the truth    
      true       then       true
If it rains today and the ground is not wet ,  I have not told the truth.
			true       then        false
If it does not rain today  and either the ground is wet or not wet
matters not. My original assertion has not been contradicted, I have not
lied. I have told the truth.
			false      then        true or false
Bernie Ivens
The Geometry Forum
School Liaison
Swarthmore College, PA
ivens@forum.swarthmore.edu
Newsgroups: sci.math,sci.physics,sci.bio,sci.chem
From: isaak@aurora.com (Mark Isaak)
Subject: Re: TIME HAS INERTIA - INSECURE-ABIAN VALIDATED
Reply-To: isaak@aurora.com (Mark Isaak)
Organization: The Aurora Group
Date: Mon, 14 Dec 92 18:24:42 GMT

In article <abian.724200923@pv343f.vincent.iastate.edu> abian@iastate.edu (Alexander Abian) writes:
>   I am trying to put the science on the correct foundation - that gives 
>me a feeling of security.  

Then why do you feel the need to resort to using calumnies such as
"neanderthalish precambrian mentality"?  I hope you will soon learn (A0):

	*REAL* SECURITY DOES NOT COME AT THE EXPENSE OF OTHERS.
-- 
Mark Isaak           "Every generation thinks it has the answers, and every
isaak@aurora.com      generation is humbled by nature." - Philip Lubin
Newsgroups: sci.math
Subject: Re: TO ALL !!!
From: blom@husc15.harvard.edu
Date: 19 Dec 92 11:10:26 EST
Organization: Harvard University Science Center

In article <1gtunkINN3h5@usenet.INS.CWRU.Edu>, ak005@cleveland.Freenet.Edu (Yona Webb) writes:
> 
> *****************************************************************
> *                                                               *
> *         *                 M E R R Y                           *
> *        <^>                                                    *
> *        ***        CHRISTMAS   &   HANUKKAH                    *
> *       *****                                        *          *
> *      *******           HAPPY NEW YEAR      * * * * | * * * *  *
> *     *********           - 1 9 9 3 -        | | | | | | | | |  *
> *    ***********                              \|_|_|_|_|_|_|/   *
> *   *************      May all your dreams     ~~~~~\|/~~~~~    *
> *  ***************          come true                |          *
> * *****************                                 _|_         *
> *        ] [          Best wishes to all - Yona     ~~~         *
> *****************************************************************
> -- 

At the risk of being flamed, I would like to thank Yona for this message.

I do not believe the two previous responses to this post were appropriate or
representative of the general readers of this group.  There are always a few
people who will resent every post.

I do not, therefore, think Yona was wrong to post this.  It seems to be a
thoughtful effort to be considerate and understanding, and in return, we should
show only consideration and understanding in return.

Even if this message IS a waste of bandwidth, it is no more so to me than some
legitimate math posts which are out of my scope.  If this message does not
interest a person, that person can stop reading it and go on . . .

Eric Blom
Harvard U

Newsgroups: sci.math,sci.physics,sci.bio,sci.chem,misc.education
From: linton@acs.ucalgary.ca (Larry Linton)
Subject: Re: Can we have sci.chem back? (was Re: TIME HAS INERTIA abian stuff)
Date: Fri, 18 Dec 92 15:48:48 GMT
Organization: The University of Calgary, Alberta

In article <Bz9o5o.KB7@news.cs.andrews.edu> maierj@edmund.cs.andrews.edu (Joey Maier) writes:
>>In article <1gh38uINN93b@chnews.intel.com> bhoughto@sedona.intel.com (Blair P. Houghton) writes:
>>>In article <1992Dec13.195740.10476@galois.mit.edu> jbaez@riesz.mit.edu (John C. Baez) writes:
>>>>Do they mention that I invented the crackpot index?  Probably not.  Yet
>>>>another brilliant idea of mine leading to no tangible fame.  :-)
>>>>Maybe I should write a letter to the editor.
>>>
>>
>>
>>Can we please not consume so many net.resources to bashing ABIAN?
>>Will you all kindly look at how many groups you are crossposting to?
>>How about making an alt.abian group or taking this to email?
>>
>>
>>
>>-- 
>>David Knapp                                      University of Colorado, Boulder
>>Perpetual Student                                   knapp@spot.colorado.edu
>
>I second that.  sci.bio would be alot better if it had biology instead
>of abian as a subject.
>
>Joey                      maierj@andrews.edu
>
From: minsky@media.mit.edu (Marvin Minsky)
Newsgroups: sci.math
Subject: Re: Measures, and Measurability
Date: 21 Dec 92 05:38:50 GMT
Organization: MIT Media Laboratory

In article <1992Dec18.191446.7806@panix.com> banana@panix.com (Walter Polkosnik) writes:
>I am reading a few papers, and they mention the concept of measures
>(particularily Lebesque measures) and the concept of measurability and the
>non-measurability of a set. Can anyone provide me with references, or are the
>concepts simple enough to explain in e-mail or a post?
>
>Thanks. I'm just a Physicist, so be gentle

This may be hard to believe, but one of the easiest introductions is
in an old book by John von Neumann: "Mathematical Foundations of
Quantum Mechanics".  I haven't seen it for ever so long, but I
remember it as being very clear and intuitive.  Starts out with nice
proof of metric density theorem, which says that if a set of an
Euclidean space is measurable, then it contains rectangles whose
measures are arbitrarily close to 1.

.
Newsgroups: sci.math,rec.puzzles
From: dreier@lhasa.berkeley.edu (Roland Dreier)
Newsgroups: sci.math,rec.puzzles,alt.usage.english
Subject: Re: Naming Large Numbers (Re: Negative Zero)
Date: 15 Dec 92 21:59:17
Organization: U.C. Berkeley Math. Department.
	<Dec.15.05.12.50.1992.13518@romulus.rutgers.edu>
	<1992Dec15.162324.28405@dartvax.dartmouth.edu>
	<1992Dec15.210004.2556@hobbes.kzoo.edu>
	<1992Dec15.215022.17520@dartvax.dartmouth.edu>
NNTP-Posting-Host: lhasa.berkeley.edu
In-reply-to: J.Theodore.Schuerzinger@dartmouth.edu's message of 15 Dec 92 21:50:22 GMT

In article <1992Dec15.215022.17520@dartvax.dartmouth.edu> J.Theodore.Schuerzinger@dartmouth.edu (J. Theodore Schuerzinger) writes:
   In article <1992Dec15.210004.2556@hobbes.kzoo.edu>
   k044477@hobbes.kzoo.edu (Jamie R. McCarthy) writes:

   > I submit that one cannot write down, in scientific notation, the number
   > x, such that x is the integer component of pi times n, where n is
   > sufficiently large.  (Take n to be ten to the power of the number of
   > atoms in the universe, for instance.)

   I'm not certain exactly what you mean by "integer component", unless
   you just mean to drop everything after the decimal, but in this
   example, assuming there are 10^126 atoms in the universe, wouldn't the
   answer be:

   3.14159 ... * 10^1 000 000 000 000 000 000 000 000 000 000 000 000 000
   000- 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000
   000 000 000- 000 000 000 000 000 000 000 000 000?

   Sorry I can't be any more accurate, but right now I don't have an
   approximation of pi to that many places handy!  :-)

Ahh...but the point is, that to actually, accurately write down the
number, one has to write out 3.14159... to a number of places that
exceeds (by an immense ammount) the number of atoms in the universe.
And it is rather hard to find a piece of paper that large.
--
Roland Dreier                                        dreier@math.berkeley.edu
Xref: sparky sci.math:17090 rec.puzzles:8007
From: jbaez@riesz.mit.edu (John C. Baez)
Subject: Re: TIME HAS INERTIA - ABIAN REPLIES TO SOME QUESTIONS OF BOUCHER
Organization: MIT Department of Mathematics, Cambridge, MA
Date: Mon, 14 Dec 92 18:43:46 GMT

Someone's still trying to blow his crackpot index off the scale:

     The peer review banned Copernicus' writings for  70 years

     and

      
     The peer review sent Galileo to house arrest  and ex-communicated
     him for 300  years.
From: bruck@mathj.usc.edu (Ronald Bruck)
Newsgroups: sci.math
Subject: Re:  Haughty quote
Date: 11 Dec 1992 14:21:34 -0800
Organization: University of Southern California, Los Angeles, CA
Distribution: usa
NNTP-Posting-Host: mathj.usc.edu

In article <101658@netnews.upenn.edu> burshtey@eniac.seas.upenn.edu (Alexander Burshteyn) writes:
>In article <11DEC199212101828@mary.fordham.edu> nissim@mary.fordham.edu (Leonard J. Nissim) writes:
>>I was told by my high school calculus teacher many years ago that 
>>Leonard Euler said, "A mathematician is someone to whom e^{i*\pi}=-1
>>is just as obvious as 2+2=4 is to you."  But I have not seen this 
>>in print anywhere.  
>
>That sentence about the integral from -oo to +oo of e^(-x^2), followed by
>"Liouville was a mathematician." appears, as I vaguely recall, in Spivak's
>"Calculus on Manifolds" at the end of the problem section in one of the
>chapters.
>                                            
>>Leonard J. Nissim  (nissim@mary.fordham.edu)   
>
>Alex Burshteyn (burshtey@eniac.seas.upenn.edu)

I like Spivak's sense of humor (esp. the "Institute of Haughty Attitudes"
in his Joy of TeX), but let's get a little closer to source.  I'll quote from
that notedly accurate (8-) historian of mathematics, Eric Temple Bell (Men
of Mathematics, p. 452):

	In passing it may be amusing to recall that Liouville inspired
	William Thompson, Lord Kelvin, the famous Scottish physicist,
	to one of the most satisfying definitions of a mathematician
	that has ever been given.  "Do you know what a mathematician is?"
	Kelvin once asked a class.  He stepped to the board and wrote
	$$\int_{-\infty}^{+\infty} e^{-x^2}\,dx = \sqrt{\pi}.$$
	Putting his finger on what he had written, he turned to the
	class.  "A mathematician is one to whom {\it that\/} is as
	obvious as that twice two makes four is to you.  Liouville was
	a mathematician."

But I believe Bell lifted this (almost verbatim!) from "Life of Lord
Kelvin", by S. P. Thompson.  Robert Edouard Moritz, in his "On Mathematics
and Mathematicians" (Dover) quotes a very similar passage in "Life of
Lord Kelvin" (London, 1910, p. 1139).  (Perhaps biographers were more prolix
in those days.)

I very much doubt that Euler made a similar statement.  This is probably a
case of faulty memory on the part of the high-school teacher.

--Ron Bruck
bruck@mtha.usc.edu preferred
Newsgroups: sci.math
From: kanad@quip.eecs.umich.edu (Kanad Chakraborty)
Subject: Re: Integral Puzzle (SPOILER)
Organization: University of Michigan EECS Dept., Ann Arbor
Date: Sun, 20 Dec 1992 18:31:16 GMT

In article <Dec.20.11.00.28.1992.16004@romulus.rutgers.edu> clong@romulus.rutgers.edu (Chris Long) writes:
>In article <1992Dec19.011244.2780@Csli.Stanford.EDU>, Yuzuru Hiraga writes:
>
>> Let f be any function such that:
>> 	* for 0<=x<=1; 0<=f(x)<= a
>
>> 	  /1
>> 	* |  f(x)dx = A
>> 	  /0
>> where a and A are given constants (obviously, A<=a).
>
>> What are the maximum and minimum values that
>
>> 	/1       2
>> 	|  {f(x)}  dx
>> 	/0
>
>> can take?
>
>Let I = \int_0^1 f(x)^2 dx; the fact that I >= A^2 follows immediately
>from the Cauchy-Schwarz inequality.  For the other (more interesting)
>direction, consider that if f(x) is non-negative, then so is a-f(x),
>and so (f(x)+a-f(x))^2 >= f(x)^2+(a-f(x))^2, hence \int_0^1 a^2 dx >=
>\int_0^1 f(x)^2 dx + \int_0^1 (a-f(x))^2 dx ==> a^2 >= I + a^2 - 2aA
>+ I ==> I <= aA.  To finish, such functions exist.  For the first case,
>consider f(x)=A.  For the second, consider f(x)=a for 0 <= x <= A/a,
>f(x)=0 elsewhere.
>-- 
>Chris Long, 265 Old York Rd., Bridgewater, NJ  08807-2618
>
>"S.B., with an I.Q. of 161, failed to complete his course of study,
>running away instead with his professor's wife."
>H. J. Eysenck, _Know Your Own I.Q._

An easier way to prove that the integral is <= aA is as follows :

f(x)^2 = f(x) * f(x) <= a * f(x),  since f(x) <= a for 0<=x<=1;
hence :

 	/1       2           /1
 	|  {f(x)}  dx    <=  | a * f(x) dx  = aA
 	/0                   /0

Kanad
Xref: sparky sci.math:17027 sci.physics:21291 sci.bio:4599 sci.chem:5442 misc.education:5320
From: ske@pkmab.se (Kristoffer Eriksson)
Newsgroups: sci.math,sci.physics,sci.bio,sci.chem,misc.education
Subject: Re: TIME HAS INERTIA - BASS JEALOUS AND INSECURE-ABIAN VALIDATED
Date: 16 Dec 92 08:50:06 GMT
Organization: Peridot Konsult i Mellansverige AB, Oerebro, Sweden

In article <Bz81F4.Lqt@quake.sylmar.ca.us> brian@quake.sylmar.ca.us (Brian K. Yoder) writes:
>A similar problem exists for physicists who consider light to be a wave (or
>a wave and something else too).  Waving is something an entity does, not a
>thing in itself.

In the case of light, the electrical and magnetical fields are "waving", so
what's your problem?

Anyway, it doesn't matter whether physicists call it "waves" or something
else. What matters, are the equations that they use to describe the
phenomenon in question.

-- 
Kristoffer Eriksson, Peridot Konsult AB, Stallgatan 2, S-702 26 Oerebro, Sweden
Phone: +46 19-33 13 00  !  e-mail: ske@pkmab.se
Fax:   +46 19-33 13 30  !  or ...!mail.swip.net!kullmar!pkmab!ske
Xref: sparky sci.math:16858 sci.physics:21114 sci.bio:4563 sci.chem:5389 misc.education:5239
From: barkdoll@cattell.psych.upenn.edu (Edwin Barkdoll)
Newsgroups: sci.math,sci.physics,sci.bio,sci.chem,misc.education
Subject: Re: TIME HAS INERTIA - NewScientist Article
Date: 14 Dec 92 14:08:46 GMT
Followup-To: sci.physics
Organization: University of Pennsylvania


	Please take this out of sci.bio!

Edwin Barkdoll
barkdoll@cattell.psych.upenn.edu
eb3@world.std.com
Newsgroups: sci.math
From: samama@imag.imag.fr (Marc Samama)
Subject: Re: Pi Finder
Organization: Institut Imag, Grenoble, France
Date: Mon, 14 Dec 1992 16:57:05 GMT

Do you know what algorithms Mma uses to calculate Pi ? (Is it a sum of Atan.)

By the way, i'd like to know where this comes from :

\pi / 2 = sum_{n >= 2} prod_{1 <= i <= n} {i / (2*i - 1)}

and how one can majorate the rest of the sum (Hope it's English!)

Thanks
Newsgroups: sci.math
From: dat92oma@ludat.lth.se (Ola Martensson)
Subject: Re: Philosophy of Pi
Reply-To: dat92oma@ludat.lth.se
Organization: Dept. of Computer Science, University of Lund.
Date: Fri, 18 Dec 1992 11:44:50 GMT

A friend and I discussed if you can find any integer anywhere
in the expansion of PI?

1415 , 92 etc is obvious BUT can you really find ALL integer
even unlimited ones???

-----------------------+----------------------------------------
Ola Mrtensson         | Department of Computer Science
dat92oma@ludat.lth.se  | University of Lund
-----------------------+----------------------------------------
Life is wasted on the living.
- Zaphod Beeblebrox IV


Newsgroups: sci.math
From: solan@smauguio.no (Svein Olav G. Nyberg)
Subject: Re: Would Pi repeat, were it expressed in a base other than 10?
Reply-To: solan@smauguio.no (Svein Olav G. Nyberg)
Organization: University of Oslo, Norway
Date: Fri, 11 Dec 1992 18:29:20 GMT

In article <3321@ucl-cs.uucp>, G.Joly@cs.ucl.ac.uk (Gordon Joly) writes:
|> 
|> That is say non-decimal.

No. Because that would make it a rational number.
No matter what base you used (as long as the base
is constant, that is..).

Solan
Newsgroups: sci.math
From: mantell@beta.mathlab.sunysb.edu (Abraham S. Mantell)
Subject: Re: Negative Zero
Organization: SUNY at Stony Brook, Dept. of Math
Date: Sun, 13 Dec 1992 18:47:51 GMT

I thought 1 centillion = 10^600, not 10^303.....????

Abe
From: koc@rize.ECE.ORST.EDU (Cetin Kaya Koc)
Newsgroups: sci.math
Subject: Re: What is the number
Date: 17 Dec 92 19:45:41 GMT
Article-I.D.: flop.1gqld5INN3aj
Organization: College of Engineering, Oregon State University
NNTP-Posting-Host: rize.ece.orst.edu

>    Whose sum of the factorials of the digits is the number itself
> Two examples come immediately to mind:  1, 145			

145 is correct: 1! + 4! + 5! = 1 + 24 + 120 = 145.
Also 40585 = 4! + 0! + 5! + 8! + 5! = 24 + 1 + 120 + 40320 + 120
                                    = 40585
From: choy@skorpio.usask.ca (I am a terminator.)
Newsgroups: sci.math
Subject: Re: Tiling problem
Date: 16 Dec 1992 02:10:43 GMT
Organization: University of Saskatchewan, Saskatoon, Canada
Distribution: world
NNTP-Posting-Host: skorpio.usask.ca

In article <1gggutINN29q@access.usask.ca>, choy@skorpio.usask.ca (I am a terminator.) writes:
|> In article <israel.723837962@unixg.ubc.ca>, israel@unixg.ubc.ca (Robert B. Israel) writes:
|> |> In <rcbaaw.723228012@rwb.urc.tue.nl>, rwb.urc.tue.nl (Angelo
|> |> Wentzler) writes:
|> |> 
|> |> >Given a grid of squares, tile it with black and white tiles and make
|> |> >the largest possible square so that no square contained in it has four
|> |> >equally colored corners.

Never mind my previous post, but can such an n x n square be constructed
as a permutation of an n x n checkerboard?

Henry Choy
choy@cs.usask.ca

Newsgroups: sci.math