HDTenEightyP/NetNews huggingface dataset:
From: mld900@anusf.anu.edu.au (Murray Dow)
Newsgroups: sci.math
Subject: Re: Quick help needed: Matrix functions in C
Date: 15 Oct 1992 00:01:33 GMT
Organization: ANU Supercomputer Facility
Distribution: world
Reply-To: mld900@anusf.anu.edu.au
NNTP-Posting-Host: 150.203.5.3


In article <1992Oct13.162250.7375@engr.latech.edu>, ramos@engr.latech.edu (Alex Ramos) writes:
|> Does anybody have, or know where I can find matrix libraries in C?  (I
|> need something that'll do Inverse and Multiplication of 100x100
|> matrices) -
|> 
Name: meschach
Where: in c/meschach on netlib
Systems: Unix, PC
Description: a library for matrix computation; more functionality than Linpack; nonstandard matrices
Author: David E. Stewart, des@thrain.anu.edu.au
Version: 1.0, Feb 1992


--
Murray Dow                         GPO Box 4 Canberra ACT 2601 Australia
Supercomputer Facility             Phone: +61 6 2495028
Australian National University     Fax:   +61 6 2473425
mld900@anusf.anu.edu.au
Xref: sparky sci.math:13336 sci.math.num-analysis:3034
From: elee59o@elroy.uh.edu (George Zouridakis)
Newsgroups: sci.math,sci.math.num-analysis
Subject: Wavelet Transform Algorithm
Date: 16 Oct 92 19:01:00 GMT
Article-I.D.: elroy.16OCT199214012606
Organization: University of Houston
News-Software: VAX/VMS VNEWS 1.41


	I am looking for any code that performs Wavelet Transforms with
UNIFORM SAMPLING over all scales. Any help is greatfully appreciated. 
	Thanks in advance.

------------------------------------------------------------------
     George Zouridakis
     Electrical Engineering Dept.       e-mail: zouridakis@uh.edu 
     University of Houston               phone: (713) 521-2996
     Houston, TX 77204-4793                FAX: (713) 743-4444
------------------------------------------------------------------
From: A.H.Osbaldestin@lut.ac.uk (Andy Osbaldestin)
Newsgroups: sci.math
Subject: Re: Reciprocals of Fibonaccis
Date: 9 Oct 92 14:37:08 GMT
Followup-To: sci.math
Organization: Loughborough University, U.K.

In article <1992Oct08.195919.81736@Cookie.secapl.com>,
frank@Cookie.secapl.com (Frank Adams) wrote:
> 
> This is a problem I've worked on off and on for several years, without
> getting much of anywhere:
> 
> What is the sum of the reciprocals of the positive Fibonacci numbers?  (That
> is, Sum(n>0, 1/F_n).)
> 
> Numerically, it is about 3.359885666243177.  The continued fraction starts:
> 
> 3,2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,3,1
> 
> I'm not sure about the last two numbers here; the final 3 could be 4.  The
> small numbers suggest the result may be algebraic.
> 
> Closely related is the sum of the reciprocals of the Lucas numbers
> L_n = F_n-1 + F_n+1.  Sum(n>=0, 1/L_n) is about 2.462858173209645; the
> continued fraction starts approximately,
> 
> 2,2,6,4,3,31,2,1,1,1,1,2,3,2,1,3,10
> 
> Does anybody know anything about these numbers?

The best reference I know for this problem is the book "Pi and the AGM" by
J M & P B Borwein. Section 3.7 is what you want. The series are expressible
in terms of theta functions and Lambert series.

Regards,
Andy Osbaldestin
From: cfw2@po.CWRU.Edu (Charles F. Wells)
Newsgroups: sci.math
Subject: Re: The mathematics underlying OOP
Date: 12 Oct 1992 20:20:56 GMT
Organization: Case Western Reserve University, Cleveland, Ohio (USA)
NNTP-Posting-Host: slc5.ins.cwru.edu


Joseph Goguen says that the math underlying OOP is sheaf theory.
His address:

Professor J.A. Goguen,
Programming Research Group,
Oxford University Computing Laboratory,
8-11 Keble Road,
Oxford, OX1 3QD,
UNITED KINGDOM.
   email: goguen@prg.ox.ac.uk


------------------------------------
Charles Wells
Department of Mathematics, Case Western Reserve University
University Circle, Cleveland, OH 44106-7058, USA
216 368 2893

From: mstewart@spam.ua.oz.au (Mark A Stewart)
Newsgroups: sci.math
Subject: Re: Mattel on women
Keywords: Targetting females once again.
Date: 8 Oct 92 09:07:58 GMT
Organization: Statistics, Pure & Applied Mathematics, University of Adelaide

In response to

> > One thing this thread makes clear is that there are lots of folk out
> > there who won't object to Mattel's message - even those who ought to
> > know better (IMO)...  I had not originally planned to act on this,
> > but now I reckon that we (ie those who share the opinion that
> > women-in-math bashing is not to be encouraged) perhaps ought to make
> > sure our view is recognised by Mattel - and others - and so will send
> > a polite but firm protest as the original poster suggests.  If you
> > agree, maybe the time spent to that end is more fruitful than another
> > posting to this thread...
>
>     That's great, but there still remains a very big question
>     if it *is* 'women-in-math bashing'.  At most, it seems to me
>     'Barbie-in-math bashing', though I am completely sure with
>     her positive attitude that even Barbie can make it through
>     the required core courses.
>
>     I suggest you'd do more good by taking a job at a nearby middle
>     school and teaching the children some math.  I want to warn you,
>     it is a tough job to do successfully...
>
>                              dale bass

   You seem to have missed the point, Barbie is a significant "Role
Model" for many young girls, viewed as being an ideal for women to
live up to. To present her as a bubble head incapable of understanding
mathematics implicitly reflects upon the capacities of women.
   As for your second comment I spent a good deal of my under-graduate,
years tutoring high school students. A great portion of my effort was
devoted to correcting the phobic belief amongst young women that
mathematics was to hard for women, and particularly them. These young
ladies were far from dumb, indeed many of them exhibited a great deal
of talent, but years of subtle ( and overt ) abuse had convinced them
that they were incapable of doing mathematics.
   Consequently I feel justified in registering my abhorances at Mattel's
thoughtless and insensitive action.

        Mark Stewart

P.S. many of them had been told by high school teachers statements like
"I think girls are too dumb to do physics". Whilst there are assholes
willing to make such statements we must stand up to them.
From: nichols@math.umn.edu (Preston Nichols)
Newsgroups: sci.math
Subject: Re: Infinity
Date: 8 Oct 92 19:44:15 GMT
Organization: University of Minnesota

In article <1367.2ac9ae4e@atlas.nafb.trw.com> dsimon@atlas.nafb.trw.com writes:
> Does infinity actually exist, or is it simply a mathematical tool?  
> Does an infinity of something actually exist?  Is it *possible*
> for there to be an infinity of something?
> ----------
> Dan Simon

I've read the other responses that my newsreader can see as of this date, but  
(I think) no one has broached the following point of view.

An *actual* infinity, i.e. one which is "really there" all at once, is not  
possible, and is IMO not strictly even conceivable.  All of the mathematical  
infinities that I know about are either *potential* infinities (e.g. the  
infinity of the positive integers, especially as presented in the principle of  
induction), or are "place markers" (as when we integrate from zero to infinity,  
as shorthand for a limiting process), or both(?).  In the second case there is  
an analogy with zero (already raised by another poster); there is a sense in  
which "pure nothing(ness)" is inconceivable, though of course the absence of  
something potentially present is a perfectly clear concept (or at least much  
less problematic).  

This is why mathematical induction proves an infinity of facts by subjunctively  
only one (more) at a time.  It is also why limits, and in particular Calculus,  
are rigorously defined in terms of epsilons and deltas:  the (for many of us)  
more intuitive idea of 'approaching infinitely close' is replaced by the more  
rigorous concept of 'approaching abitrarily close'.

Roughly a century ago, these were issues of strenuous debate among some of the  
foremost mathematicians in the world.  (Un)fortunately, I am not very  
well-informed about this part of the history of mathematics, but I am sure many  
fellow readers of this group are.  (This *is* an invitation for such persons to  
instruct the rest of us.)

If you are brave enough, you might go fishing for Aristotelians in  
sci.philosphy.meta or talk.philosophy.misc, and see what they have to say.
Newsgroups: sci.math
From: Bj|rn Alsberg <alsberg@math.uio.no>
Subject: Covariant/contravariant FUNCTIONS??
Organization: University of Oslo
Date: Tue, 13 Oct 1992 19:48:13 GMT





Covariant/contravariant FUNCTIONS?




In linear algebra it is possible to represent a vector in covariant
and contravariant bases. Can this be extended to infinite dimensional 
vectors and functions? Is it possible to formulate 
covariant/contravariant bases for *functions* in terms of
a functional analog to the vector cross product? Or is it not
correct to speak of such an analogy? 

Thanks!

Bj|rn Alsberg
Dept. Chemistry
University of Bergen
Norway
From: dove@cats.ucsc.edu (Ray Rischpater)
Newsgroups: sci.math
Subject: Does there exist a large list of primes ftpable someplace?
Date: 9 Oct 1992 19:00:59 GMT
Organization: University of California, Santa Cruz
Distribution: usa
NNTP-Posting-Host: as215-ws-18.ucsc.edu


I'm looking for a large ascii list of prime numbers, starting preferably at
2 and going on up.

If someone has such a list or knows where I could ftp one, it would save me
large amounts of CPU time. :)

Please reply via email; if people want to know if I find anything, I can
post a summary later.


-- 
--		Ray Rischpater			dove@cats.ucsc.edu
--		Cowell College, UCSC		(408) 459-8801
Water in a round glass is round, and in a square glass square.  People
			often forget that fact.

Xref: sparky sci.math:13140 sci.physics:16447 sci.astro:10703 sci.bio:3555 sci.chem:3921 soc.men:17687 soc.women:17682
From: frisinv@alleg.edu
Newsgroups: sci.math,sci.physics,sci.astro,sci.bio,sci.chem,soc.men,soc.women
Subject: Is Math Hard?
Date: 13 Oct 92 20:28:28 GMT
Organization: Allegheny College

That seems to be the big question these days. Is it hard for girls, boys,  
adults, toy companies, mathematicians, college students, or anyone else?  
I've spoken with many people -including a math professor- who swear math  
is the hardest thing on the face of this earth. I know others who laugh  
insanely and say math is child's play. I want to take a little poll:
  
 How hard do you find mathematics? Were you one of those people who  
dreaded cracking a book or one of those people who did calculus in junior  
high school for fun? 

Send replies to frisinv@alleg.edu. I'll post the results. 
--
From: newswire@ap.com (Newswire)
Newsgroups: sci.math
Subject: Barbie developments
Date: 9 Oct 92 19:47:04 GMT
Organization: AP
Originator: proberts@moose


          WASHINGTON (AP) _ In a development sure to raise the 
temperature in the controversy over Barbie's "Math is tough" message,
Mattel has acknowledged that a disgruntled employee has inserted a 
number of contentious messages into several thousand Barbie dolls.

          These messages are said to include "Meat is murder", 
"Abortion kills babies", and "Implement resolution 242".

          Mattel is attempting to recall the "tainted" Barbies, but 
since each doll speaks four messages randomly drawn from a pool of 
nearly 300, officials fear that it will be impossible to identify 
which Barbies may cause offense.

          One option that is reportedly under consideration is for the 
company to deliberately release a similar number of "counter-Barbies", 
dolls with messages calculated to placate anyone who may have been 
offended by the spoof messages. Exactly what counter-messages will 
be used has not yet been finalised, but Mattel spokesperson April
Furst said that "Beef: real food for real people", 
"Abortion is a woman's right", and "I hate Arabs" are under consideration.

          "We hope this will demonstrate that Mattel has no political axe 
to grind, and so make everyone happy", Ms Furst continued.
From: mtj@babar.asd.sgi.com (Michael Jones)
Newsgroups: sci.math
Subject: Re: Another GRE question for you folks
Date: 12 Oct 1992 16:56:34 GMT
Organization: Silicon Graphics, Inc.
Distribution: world
NNTP-Posting-Host: babar.asd.sgi.com

In article <...>, nin15b66@merrimack.edu writes:
|> Since everyone out here was so helpful last time I had a math question,
|> I'll try my luck again.
|> 
|> This one came from a sample GRE test.
|> 
|> It is one where you have to choose A if the one on the left is greater,
|> B if the one on the right is greater, C if they are equal or D if it can't be
|> determined.
|> 
|> 	Column A			Column B
|>   4 + 2*the square root of 2         2 + 4*the square root of 2
|> 
|> The answer they gave is B.
|> 
|> I disagreed though, and before I go embarrassing myself with a nasty letter
|> to ETS, I wanted to check with the experts on the subject.

The answers are:

 A iff they want the negative root.
 B iff they want the positive root.
 C *never*
 D iff they want mathematicians.

So the question is, what are they testing? Your understanding of practical
algebra and radicals[B] or your understanding of mathematics[D]? In all of
my "testing history" I've found just this sort of thing the most difficult,
mostly because it seems that:

 If you go with B and are marked wrong, they say "this was a subtle...",
 but if you go with D and are marked wrong, they say "well, you know
 what we meant -- everyone else did". I hate having to decide how much
 of my brain must be disabled to answer questions as expected.

-- 

Be seeing you,      mtj@sgi.com  415.390.1455  M/S 7L-590
Michael Jones       Silicon Graphics, Advanced Graphics Division
                    2011 N. Shoreline Blvd., Mtn. View, CA 94039-7311
From: mxh@dcs.ed.ac.uk (Martin Hofmann)
Newsgroups: sci.math
Subject: Re: Reciprocals of Fibonaccis
Date: 9 Oct 92 14:35:07 GMT
Organization: Department of Computer Science, University of Edinburgh

In article <1992Oct08.195919.81736@Cookie.secapl.com>, frank@Cookie.secapl.com (Frank Adams) writes:
> This is a problem I've worked on off and on for several years, without
>getting much of anywhere:
>
>What is the sum of the reciprocals of the positive Fibonacci numbers?  (That
>is, Sum(n>0, 1/F_n).)

Something that might help is the "closed form expression" for F_n

        1    n        g    -n
F_n = ----- g    +  ----- g
       1+g           1+g

where g is the golden ratio, i.e.  1/2 * (1+sqrt(5)). You can prove that by putting
F_n:=alpha^n cancelling and solving for alpha. 

Martin Hofmann, Dept of Comp Sci, Univ. of Edinburgh
Xref: sparky sci.math:12968 sci.math.num-analysis:2972
From: bennett@math.ksu.edu (Andy Bennett)
Newsgroups: sci.math,sci.math.num-analysis
Subject: Re: Poisson kernel
Date: 9 Oct 1992 10:10:41 -0500
Organization: Dept. of Mathematics, Kansas State University
Distribution: inet
NNTP-Posting-Host: hilbert.math.ksu.edu

suter@fawlty8.eng.monash.edu.au (Mr D. Suter) writes:
>The Poisson kernel allows one to evaluate a harmonic function
>by knowing its values on a closed curve.
>Can you do similar with a biharmonic function?

Yes, you do exactly the same thing. A function in two variables is bi-harmonic
if it is harmonic in each variable separately. So if you fix one variable then
you have an ordinary harmonic function in the other variable and you apply the
ordinary Poisson kernel along the curve defined by the intersection of the
boundary of the region you are interested in with the plane defined by fixing
one variable.

More precisely. Let x,y \in R^2 and let \Omega\subset{R^2\times R^2}. If
u(x,y) is biharmonic and (x_0,y_0)\in\Omega then u(x,y_0) is harmonic in
\Omega\intersect\{y=y_0\} and 
u(x_0,y_0)=\int_{\partial\Omega\intersect\{y=y_0\}}u(t,y_0)P_{y_0}(t)dt
where P_{y_0}(t) is the Poisson kernel for the domain \Omega\intersect\{y=y_0\}

Obviously, p-harmonic functions are handled similarly. 

The main interest here is that we could obviously fix x=x_0 rather than y=y_0
and so the value of u(x_0,y_0) can be determined from either knowledge of the
boundary values along \{y=y_0\} or \{x=x_0\}. So, in contrast to the ordinary
harmonic case, we don't have to know values along the whole boundary to 
determine the biharmonic function (or in pde lingo, the Dirichlet problem is
overdetermined). This raises the question of determining the subsets of the
boundary such that boundary values on those sets uniquely determine a 
biharmonic function. I don't know how much is known here. One easy result is
that for the bidisk, \{|x|<1\}\times\{|y|<1\}, the values along the 
restricted boundary, \{|x|=1\}\times\{y=1\}, determine a unique biharmonic
function.

-- 
Andrew G. Bennett         bennett@math.ksu.edu         If you count too
Dept. of Mathematics      Voice: (913) 532-6750        much you turn
Kansas State University   Fax:   (913) 532-7004        purple.  -  SARAH
Manhattan, KS 66502       STRICTLY MY OWN OPINIONS
Newsgroups: sci.math
Subject: Re: Irrational?
From: bclaus@cs.wright.edu (Brian Clausing)
Date: Wed, 7 Oct 1992 05:41:17 GMT
Organization: Wright State University

From article <1992Oct6.162043.5000@Princeton.EDU>, by tao@potato.princeton.edu (Terry Tao):
> I think the english version of irrational, meaning nonsensical, comes from the
> Pythagorean point of view that ratios of integers were divine, for example
> music tones should be perfect ratios.  Something that is rational (i.e. sensical
> can be divided up into manageable bits (rationed), whereas something irrational
> cannot be cut up and so is perverse.
> 
> Terry

As you noted, ``irrational'' also means ``lacking a ratio,'' that is,
having no representation as a ratio of integers.  Quite so.

Brian Clausing
Newsgroups: sci.math
From: jk87377@cc.tut.fi (Juhana Kouhia)
Subject: Re: references on algebraic geometry
Keywords: algebraic geometry, geometry
Organization: Tampere University of Technology
Date: Mon, 12 Oct 92 07:50:55 GMT


In article <1992Oct02.093641.15883@infko.uucp>
berling@infko.uni-koblenz.de writes:
>
>I'd like to get the full reference (title, publisher, ISBN)
>of G. Salmon's books on algebraic geometry.

Here are some, choose appropriate books yourself.
If they are too old, then I would like to get new info.

Juhana Kouhia


Salmon, George
Analytische Geometrie des Raumes
2. verb. Aufl.
Leipzig : B. G. Teubner, 1874
=======
 
Lessons introductory to the modern higher algebra
Salmon, George
4. ed.
Dublin Hodges, Figgis, and co. 1885
=======
 
Vorlesungen uber die Algebra der linearen Transformationen
Salmon, George
2. Aufl.
Leipzig B. G. Teubner 1877
======
 
Analytische Geometrie der Kegelschnitte
Salmon, George
Leipzig B. G. Teubner 1860
=======
 
Analytische Geometrie der hoheren ebenen Kurven
Salmon, George
2. verb. Aufl.
Leipzig B. G. Teubner 1882
=======
 
Vorlesungen zur Einfuhrung in die Algebra der linearen
Transformationen
Salmon, George
Leipzig B. G. Teubner 1863
=======
Newsgroups: sci.math
From: lhjensen@fish.Princeton.EDU (Leif Jensen)
Subject: Re: Another chocolate fish problem.
Originator: news@nimaster
Organization: Princeton University
Date: Wed, 14 Oct 1992 11:14:39 GMT

The notation below should be obvious after the statement of the problem
has been read. 

If a and b are ordered partitions of n and m, respectively, then ab
denotes the ordered partition of n+m in the obvious way.

fu(n) and fv(n) are sets of ordered partitions of n defined below.
o(S) is the order of the set S, often |S|.

fu(1) = { 1 }
fu(2) = { 11, 2 }
fu(n) = { 2x for x in fu(n-2) } union { 1x for x in fu(n-1) }

It is clear that the two sets in the third line are disjoint.  It is
equally clear that all possible ordered partitions of n into sets of 1
or 2 are in fu(n) since any partition begins with a 1 or a 2 and all
possible ordered partitions of n-1 into sets of 1 or 2 are in fu(n-1)
and fu(n-2).  (Forgive this reverse induction proof.)

We notice that u(n) = o(fu(n)) and further that

u(n) = o(fu(n)) = o(fu(n-1) union fu(n-2)) = u(n-1) + u(n-2).

Define x+ of a partition x = abcd...,  for a,b,c,d... integers > 1,
as (a+1)bcd...

fv(2) = { 2 }
fv(3) = { 3 }
fv(n) = { x+ for x in fv(n-1) } union { 2x for x in fv(n-2) }

It is clear that the two sets in the third line are disjoint.  It is
equally clear that all possible ordered partitions of n into sets of 2 or
more are in fv(n) using an argument similar to the one used above.

We notice that v(n) = o(fv(n)) and further that

v(n) = o(fv(n)) = o(fv(n-1) union fv(n-2)) = v(n-1) + v(n-2)

Since u(1) = v(3) and u(2) = v(4) we have u(n) = v(n+2) for n >= 1.

--
Leif Jensen
lhjensen@phoenix.princeton.edu
Newsgroups: sci.math
From: epstein@rene.ma.utexas.edu (Paul Epstein)
Subject: Re: Another GRE question for you folks
Organization: University of Texas at Austin Mathematics
Date: Tue, 13 Oct 1992 19:24:15 GMT

<RVESTERM@vma.cc.nd.edu> writes:

>i took the gre's about one year ago.  the problem that i couldn't decide
>upon an answer for was part of the general math, not the math subject.
>it was a "a if the first thing is greater, b if the second is greater,
>c if it can't be determined, and d if they're equal" type.  there was
>a picture of a circle, and four points on it (A, B, C and D).  there was
>a line segment AB, and a line segment BD.  they wanted to know which, if
>either, was longer.

>the correct answer, of course, is that it can't be determined; they never
>said that the line segments intersect in the center of the circle or not.
>this is the answer i put down.  however, the picture that they gave with
>the problem sure looked like the line segments intersected damn close to
>the center; this led me to believe that they wanted the answer "the two
>segments are equal".

>to this day, i don't know whether i was credited with a correct answer
>or not.

I doubt that there was any ambiguity in the question. 
In one of the first few pages, E.T.S says specifically what is denoted in
the paper.  For example there are specific markings to denote two lengths
being the same, a right angle, etc.
Does E.T.S have a standard non-verbal way of denoting whether a line 
passes through the centre of the circle?
If yes, then it is clear whether C or D is required.
If no, then obviously D is correct.


Paul Epstein

Xref: sparky sci.math:13245 sci.physics:16568
Date: Wednesday, 14 Oct 1992 19:14:28 EST
From: <RVESTERM@vma.cc.nd.edu>
Newsgroups: sci.math,sci.physics
Subject: Re: "The Universe of MOTION" (crackpot index)
 <1992Oct14.193139.8517@galois.mit.edu> <1992Oct14.194338.8696@galois.mit.edu>

i think that every extraneous exclamation point should be another point on
the crackpot scale.  for example:

      I AM the GHOST of albert EINSTEIN and I am HERE to say that
      I WAS WRONG!!!!!!!! RELATIVITY is WRONG!!!!!!!

should clearly rate higher on the crackpot scale than

      I AM the GHOST of albert EINSTEIN and I am HERE to say that
      I WAS WRONG! RELATIVITY is WRONG!






Newsgroups: sci.math
From: borbor@divsun.unige.ch (BORIS Borcic)
Subject: Re: Matrices as Group Sub-Algebras ?
Organization: University of Geneva, Switzerland
Date: Mon, 12 Oct 1992 14:26:42 GMT

Consideration of the simplest case of 2x2 diagonal
matrices suggests that the problem as stated has no solutions.

One may however try to generalize the problem to the
case where a single matrix entry is carried, not by one,
but by many group elements.

e.g. G a group, E a partition of G, E* a subset of E

f : {1..N}x{1..N} -> E* one to one

c : E-E* -> F, F a field


p(M)(g) = Mij  if  g in f(i,j)
        = c(class of g) else


There are probably other ways to look into. My question
boils down to : are there any (standard, simple) ways
to construct endomorphisms from matrix algebra into
group algebra ?

Regards,

Boris Borcic
Newsgroups: sci.math,sci.physics,sci.astro,sci.bio,sci.chem,soc.men,soc.women