HDTenEightyP/NetNews huggingface dataset:
From: israel@unixg.ubc.ca (Robert B. Israel)
Newsgroups: sci.math
Subject: Re: Mercator Projection
Date: 8 Nov 92 08:42:09 GMT
Organization: The University of British Columbia
NNTP-Posting-Host: unixg.ubc.ca

In <a34uTB4w165w@netlink.cts.com> kfree@netlink.cts.com (Kenneth Freeman) writes:

>My Mercator projection goes 'up' to only 84 degrees, ~the northern
>tip of the classically huge Greenland. I'd like to know three things.
>1) For a given area, what is its apparent increase in size for a 
>given latitude? I.e., what is the rate of increase the closer you
>get a pole (and infinity)?

At latitude t, linear dimensions are multiplied by sec(t), so areas are
multiplied by sec^2(t).
 
-- 
Robert Israel                            israel@math.ubc.ca
Department of Mathematics             or israel@unixg.ubc.ca
University of British Columbia
Vancouver, BC, Canada V6T 1Y4
From: johnl@spinner.cs.indiana.edu (John Lacey)
Newsgroups: sci.math
Subject: Re: Teaching Calculus
Date: 9 Nov 92 05:50:46 GMT
Organization: Computer Science, Indiana University

Benjamin.J.Tilly@dartmouth.edu (Benjamin J. Tilly) writes:

>I know that many people feel that using limits to teach calculus
>confuses the students and it might be better to have an alternate
>approach. How about the following one which uses continuous functions
>to replace limits?

I, for one, feel that it is not limits but how they are taught that is
confusing.  I have yet to see a teacher that doesn't totally confuse
people about when you can substitute the limit in, and when you cannot.

But, to side-step the issue entirely, I agree with Tom Apostol's view
that pedagogically, historically, and perhaps even mathematically,
integration more natually precedes differentiation.

-- 
John Lacey, agnostic believer

"There is no greater sorrow than thinking back upon a happy time in misery."
                                                         -- Dante's Inferno
Xref: sparky sci.math:14503 sci.physics:18276 sci.astro:11705 sci.bio:4044 sci.chem:4440 misc.education:4160
From: hrubin@pop.stat.purdue.edu (Herman Rubin)
Newsgroups: sci.math
Subject: Re: Apology about f'(g(x))
Date: 12 Nov 92 20:20:41 GMT
Organization: Purdue University Statistics Department

In article <BxLtv5.93H@newcastle.ac.uk> A.M.Wall@newcastle.ac.uk (A.M.Wall) writes:
>So you are all arguing about the following:

>                             df 
>Is f' a function, with value --, or does f'(y) mean "take f and differentiate 
>                             dx
>wrt y"? The answer is probably that both are perfectly good interpretations, 
>but that the former is more widely accepted. If you need to use the latter, 
>                       df(g(x))                  
>then the full notation -------- is less confusing (whether or not you actually 
>                        dg(x)
>prefer it).

There are larger logical problems with this latter notation than you 
realize.  We are in a situation where precise notation is needed, and
even saying that f'(x) = df/dx is WRONG.  If f is a function with a
domain which is a subset of the real numbers, then f' is a function
with a domain a subset of the interior of the domain of f.  But it
is a function.  And the function f is not f(x).

Those who think this pedantic are hereby advised to read some books on
the Calculus of Variations; it is necessary there that these distinctions
are made.

-- 
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: jnjohann@faui1h.informatik.uni-erlangen.de (Jan Johannsen)
Subject: Re: Relatives with Crackpot Proofs
Organization: CSD., University of Erlangen
Date: Fri, 13 Nov 1992 13:59:31 GMT

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


>There is a new book called MATHEMATICAL CRANKS by Underwood Dudley.
>[Actually, the book is quite entertaining.]

Hey, that sounds interesting !
Can you give me the exact reference (Publisher etc.), I would
really like to get that one.

    Jan

---
--------------------------------------------------------------------------------
"[Die Mathematik] steht ja "uber allem. Die Werke von Abel oder Kronecker sind
 heute genauso gut wie vor vierhundert Jahren, und so wird es immer sein.
 Es entstehen wohl neue Wege, doch die alten f"uhren weiter. Sie schliessen
 sich nicht. Dort ... dort ist die Ewigkeit. Nur die Mathematik hat keine
 Angst vor ihr."
                   Stanislaw Lem, "Transfer"
--------------------------------------------------------------------------------
               Jan Johannsen, Universit"at Erlangen, IMMD 1 
                Martensstrasse 3, D-8520 Erlangen, Germany   
                          Tel.:  49-9131-857688                         
               Email:  johannsen@informatik.uni-erlangen.de  
--------------------------------------------------------------------------------
Newsgroups: sci.math.symbolic
From: jpg@spectre.unm.edu (Jeffrey P. Golden)
Subject: Re: Help wanted in integration.
Date: Thu, 12 Nov 92 00:50:13 GMT
Organization: Dept. of Math & Stat, University of New Mexico, Albuquerque

Reply-To: jpg@macsyma.com

In article <Nov.6.00.08.18.1992.2647@gandalf.rutgers.edu>  
amarmahb@gandalf.rutgers.edu (Amar Mahboob Ali) writes:
> 
> Can anyone please help me in integrating the following.
> 
>            infinity
> 
>                 / 4    2             2
>                | x  sin (Pi a x)  sin (Pi b x)
>                | ---------------------------- dx
>                |    2    2 2   2    2 2
>               /   (x  - d )  (x  - c )
> 
>         -infinity       
> 
> Where a,b,c and d are positive integers.


I computed the integral using Macsyma as follows.  The answers 
obtained agree with Victor Adamchik's last version and John 
Cordes' last version.  I only show the case a>b .  (The integrand 
is symmetric in a and b.)


(c1) x^4*sin(%pi*a*x)^2*sin(%pi*b*x)^2/((x^2-d^2)^2*(x^2-c^2)^2);

                    4    2             2
                   x  sin (%pi a x) sin (%pi b x)
(d1)               ------------------------------
                         2    2 2   2    2 2
                       (x  - c )  (x  - d )

(c2) declare([a,b,c,d],integer)$

(c3) assume(a>0,b>0,a>b)$

(c4) /* case 1: not(c=d) .  Macsyma appears to be assuming this! */
     factor(integrate(d1,x,minf,inf));

                            2     2    2
                         %pi  b (d  + c )
(d4)                    -------------------
                                 2        2
                        4 (d - c)  (d + c)

(c5) /* case 2: c=d . */  subst(d=c,d1);

                    4    2             2
                   x  sin (%pi a x) sin (%pi b x)
(d5)               ------------------------------
                               2    2 4
                             (x  - c )

(c6) factor(integrate(d5,x,minf,inf));

                 2         2  2  2         2      2
              %pi  b (4 %pi  b  c  - 12 %pi  a b c  - 3)
(d6)       -  ------------------------------------------
                                    2
                                96 c

(c7) /* Compare this with John Cordes' last answer, which follows. */
     (1/32)*%pi^2*b/c^2 + %pi^4*b^2*(a-b/3)/8$

(c8) expand(d6-%);

(d8)                              0

From: Jeffrey P. Golden <jpg@macsyma.com>
Organization: Macsyma Inc.
Reply-To: jpg@macsyma.com
Newsgroups: sci.math.symbolic
Subject: SymbMath Capabilities
From: vxc15931@vax1.mankato.msus.edu
Date: 12 Nov 92 08:12:34 -0600
Organization: Mankato State University

I have downloaded SymbMath 2.1, decompressed it and used it.  I am quite
impressed with its manipulation and learning capabilities compared to
Mathematica 2.05e, MathCad 3.1 and Theorist 1.05.  However, it does not have a
good equation writer; in other words, I cannot use a print-out of SymbMath
results for a presentation.  Oh heck, let's just say it is not pretty to look
at.

Do the registered versions of SymbMath carry a good equation writer?  I am
thinking of something in the same order of magnitude as the other three
packages I currently have access to.  Also, I noticed that a separate package
is needed for plotting.  Are the registered versions capable of doing their own
plotting?

                       --      Jose' R.C. Cruz
                               Department of Physics, Engineering and 
                                     Technology
                               Mankato State University, MN
From: kd@doc.ic.ac.uk (Kostis Dryllerakis)
Newsgroups: sci.math.symbolic
Subject: MathLink Information [Where?]
Date: 5 Nov 1992 12:03:47 GMT
Organization: Imperial College, London, U.K.
Distribution: world
NNTP-Posting-Host: confucius.doc.ic.ac.uk
Keywords: MathLink, mathematica interface


	Does anyone know where can I get more information about the MathLink
package of mathematica?  I do not have access to the Wolfram Research techinal
report : "The Mathlink communication standard" which is given in the mathematica
books.

	Any ideas?

Please reply by e-mail and I will summarize if this is needed.

Thanks in advance,

Kostis
-------------------------------------------------------------------------------
K J Dryllerakis					Deparment  of  Computing
Logic Programming Group				Imperial College, LONDON
Janet: kd @uk.ac.ic.doc				Tel:  +71 589 5111 x5089
Uucp : kd@icdoc.UUCP
-------------------------------------------------------------------------------


Newsgroups: sci.math.symbolic
From: Tobin C. Anthony <tca712@rs710.gsfc.nasa.gov>
Subject: RE: Where to find PD symbolic math packages (FQA)
X-Xxmessage-Id: <A725428EAD012C59@tanthony.gsfc.nasa.gov>
X-Xxdate: Tue, 10 Nov 92 10: 42:22 GMT
Organization: NASA-Goddard Space Flight Center
X-Useragent: Nuntius v1.1.1d9
Date: Tue, 10 Nov 1992 15:48:59 GMT

>>	I suggest you consider SymbMath.
>>	It has three versions: Shareware, Student, and Advanced. The 
>>shareware version is available from SIMTEL20 archives on anonymous FTP
sites 
>>(wsmr-simtel20.army.mil as /calculator/sm211a.zip, rana.cc.deakin.oz.au
as 
>>/huang/sm211a.zip, etc) or by e-mail from listserv@ndsuvm1.bitnet. 
>
>I find it interesting that this claims to be Re: something, but there
have
>been no posts with that subject field for the last three weeks, and I'm
sure
>the last one I saw was also posted by Mr Huang.
>
>If you're going to post gratuitous advertisements you should do so
honestly
>rather than pretending your advertisement is a response to someone else's
>post.
>
>-- 
>Gareth McCaughan     Dept. of Pure Mathematics & Mathematical Statistics,
>gjm11@cus.cam.ac.uk  Cambridge University, England.    [Research student]


Unless I missed something, it looks like Mr. Huang was advertising the
availability of shareware.  That sort of posting should _always_ be
allowed.  Dissemination of information is the whole reason why you are
reading this; just because he posted in a defunct thread does not mean he
deserves flaming for alerting us to shareware.

Lighten up!!

----------------------->>>>><<<<<-----------------------
Tobin C. Anthony                   tca712@rs710.gsfc.nasa.gov
Code 712                               301-286-1273 (w)
Goddard Space Flight Center
Greenbelt MD 20771
USA

"Marge, you're just a tool of the dog-house makers" - H. Simpson
----------------------->>>>><<<<<-----------------------
From: a_rubin@dsg4.dse.beckman.com (Arthur Rubin)
Newsgroups: sci.math.symbolic
Subject: Re: Question about programming in mma
Keywords: symbols mma
Date: 12 Nov 92 17:30:49 GMT
Organization: Beckman Instruments, Inc.

In <1992Nov11.211405.27798@mlb.semi.harris.com> gsp@mlb.semi.harris.com (Gary Porter,62B-384,7295697) writes:

>Can someone tell me how to pass symbols as parameters
>in mathematica. (like nlambda or macros in lisp)

>For example, I want to define a function "dropCar" that
>takes a symbol as a parameter and has the side-effect of setting the 
>symbol's value to the "rest" of it's list.

>    dropCar[ symbol_ ] := Block[ {},
>        symbol = Rest[ symbol ] 
>	]
>        
>    y = { 1.1, 2.2, 3.3 }

>Such that:

>    dropCar[ y ]

>sets y to { 2.2, 3.3 }, and another:

>    dropCar[ y ]

>sets y to { 3.3 }

SetAttributes[dropCar,HoldAll]
--
Arthur L. Rubin: a_rubin@dsg4.dse.beckman.com (work) Beckman Instruments/Brea
216-5888@mcimail.com 70707.453@compuserve.com arthur@pnet01.cts.com (personal)
My opinions are my own, and do not represent those of my employer.
My interaction with our news system is unstable; please mail anything important.
Newsgroups: sci.math.symbolic
From: pindor@gpu.utcs.utoronto.ca (Andrzej Pindor)
Subject: Re:  FREEWARE symbolic math.package??
Organization: UTCS Public Access
Date: Thu, 12 Nov 1992 15:34:07 GMT

In article <1992Nov11.035606.20405@alchemy.chem.utoronto.ca> mroussel@alchemy.chem.utoronto.ca (Marc Roussel) writes:
>     There are several PD and shareware symbolic manipulators available
>under MS DOS.  Which is best for you depends on what type of calculations
>you are likely to do.  Here are a few that I know about (in no particular
>order):
.......................
>     5) Mercury: This program has extremely limited symbolic
>                 capabilities, but is extremely adept at numerically
>		 solving equations and produces publication-quality
>		 graphical output.  (This is the only package in this
>		 list of which I would say this.)  This used to be
>		 Borland's Eureka!, but when Borland abandoned it, its
>		 original author started selling it as shareware under
>		 the name Mercury.  (Filename of latest known version:
>		 mrcry206.zip)

I have not tried Mercury, but few years ago when I was evaluating Eureka!
I ran into a strange problem with a set of three nonlinear equations, which
made me mistrustful of the program's results.

>
>				Marc R. Roussel
>                                mroussel@alchemy.chem.utoronto.ca

Andrzej Pindor
-------------------

Dr. Andrzej Pindor
University of Toronto
Computing Services
pindor@gpu.utcs.utoronto.ca
Phone: (416) 978-5045
Fax:   (416) 978-7159

-- 
Andrzej Pindor
University of Toronto
Computing Services
pindor@gpu.utcs.utoronto.ca
Newsgroups: sci.math.symbolic
From: antonio@qualcomm.com (Franklin Antonio)
Subject: obscure Mathematica question
Organization: Qualcomm, Inc., San Diego, CA
Date: Tue, 27 Oct 1992 22:27:33 GMT


I apologize for the not-very-explicit subject line.  I really don't know
how to describe this question, because i'm obviously missing a concept.

I have a situation where I know that some variables can only take on
the values 0 or 1.  Therefore, for these specific variables, I know
that when raised to any positive integer power, they stay the same.
Therefore, I would like to simplify by substituting X in place of X^2
or X^3 or X^4, etc.

In a program that someone sent me, the following statements appear,
which seem to tell Mathematica about this situation...

Unprotect[Power]
w[i_]^(2) := w[i]
w[i_]^(3) := w[i]
w[i_]^(4) := w[i]
w[i_]^(5) := w[i]
w[i_]^(6) := w[i]
w[i_]^(7) := w[i]
w[i_]^(8) := w[i]

Now my question... I had expected that when I evaluated an expression
containing w[3]^5, for example, this should simplify to w[3], because
of the above definitions.  This, however, does not happen.

If i write a simple expression, such as w[4]^3 + w[3]^4, and evaluate it,
it comes back w[3] + w[4] as expected.  Complex expressions however,
still contain powers of these variables, and this keeps these expressions
from simplifying properly.  (LOTS of terms would combine if Mathematica
understood that all exponents on these w's could be dropped.)

There seem to be times where one needs to help Mathematica along by telling
it explicitly what to do next, and maybe this is one of those times?

What do I do to tell Mathematica to make these substitutions?  I figure 
I could use /. to tell it to use a rule explicitly, but what I don't 
understand is why/how it is that it sometimes doesn't know about these
definitions that i've installed in power, and whether there is a way
to say HEY YOU, please actually USE these definitions you have.

There is SO MUCH i need to know to use Mathematica effectively!  The books
are so difficult to use, because there's no index by "concept whose name
i don't even know".
Organisation: Westfaelische Wilhelms-Universitaet, Muenster, Germany
Date: Friday, 6 Nov 1992 17:41:10 MEZ
From: Georg Woeste <WOESTE@DMSWWU1A.UNI-MUENSTER.DE>
Newsgroups: sci.math.symbolic
Subject:  FREEWARE symbolic math.package??


Hello,

a question: are there existing freeware symbolic mathematic packages?
If yes, from where can I "ftp" them?
The only package I found, was FORM by 128.252.135.4 in the directory
edu/math/msdos/... . But this is a old and not very confortable version.

                        Thanks,

                               Georg
Newsgroups: sci.math.symbolic
From: buchanan@matagh.ncsu.edu (Bob Buchanan)
Subject: Wanted: Mathematica or Maple package for (un)stable manifolds
Originator: buchanan@guest2.math.ncsu.edu
Organization: NCSU Mathematics Dept.
Date: Mon, 9 Nov 1992 20:21:46 GMT


Does anyone have a Mathematica package or Maple program which can
calculate approximations to the stable and unstable manifolds of a
fixed point in a 2D differential equation?

If so, please email to me.
-- 
Bob Buchanan
919-515-2382 (work)	919-776-7371 (home)
buchanan@math.ncsu.edu
Math Dept, NCSU Box 8205, Raleigh, NC 27695-8205
Newsgroups: sci.math.symbolic
From: monagan@inf.ethz.ch (Michael)
Subject: Maple V Release 2 announcement
Keywords: Maple, Computer Algebra
Organization: Dept. Informatik, Swiss Federal Institute of Technology (ETH), Zurich, CH
Date: Fri, 13 Nov 1992 16:56:19 GMT



                 Announcement of Maple V Release 2
                 =================================

We are proud to announce the availability of a new version of Maple,
Maple V Release 2.  Release 2 represents a major step forward in all
capabilities of Maple.  We'd like to thank everyone, especially
people from outside the Maple group who have contributed.

At this time Waterloo Maple Software is shipping Release 2 for the
Sun 4/SPARC and DEC Unix systems.  We expect to complete ports to
other Unix platforms by year end.

Release 2 incorporates a completely new user interface and many
new graphical capabilities.  The new interface supports worksheets,
a help browser, and outputs formulae in mathematical notation.
High quality hardcopy output for worksheets is available in PostScript.
The new interface for the X Window System follows Motif conventions
and includes much improved editing capabilites.

The new graphical capabilities include contour plots, implicit
plots (2D and 3D), vector plots (2D and 3D), animation (2D and 3D),
and basic support for text, polygons, color, lighting, etc.

As with previous new versions of Maple, Maple V Release 2 also
includes many new and improved mathematical capabilities.  A focus
of this version has been given to fixing bugs, fixing design problems,
and to improve the numerical capabilities, in particular,
complex numeric arithmetic, numerical linear algebra, and numerical
solutions to polynomials.

The new version contains approximately 700 new functions to the
existing library, for a total of more than 2,500 functions.
A detailed list of the new facilities and improvements, 
with examples in Maple V Release 2, will be posted in a separate
message on sci.math.symbolic.

Inquiries about Release 2 should be addressed to

    Waterloo Maple Software,
    160 Columbia Street West,
    Waterloo, Ontario,
    Canada, N2L 3L3

    Phone: (519) 747-2373
    FAX:   (519) 747-5284
    Email: info@maplesoft.on.ca

In North America (toll free) 1-800-877-6583

In Europe please contact

    Waterloo Maple Software
    Tiergartenstrasse 17
    W-6900 Heidelberg 1
    Germany
    Phone: +49-6221-487 180
    FAX:   +49-6221-487 184

Newsgroups: sci.math.symbolic
From: Richard J. Gaylord <gaylord@ux1.cso.uiuc.edu>
Subject: Re: Axiom (was ScratchPad II)--one more word.
X-Xxdate: Thu, 5 Nov 92 04:56:52 GMT
X-Useragent: Nuntius v1.1.1d12
Organization: University of Illinois
Date: Thu, 5 Nov 1992 10:56:12 GMT
X-Xxmessage-Id: <A71E5A14EC019B17@mm-mac23.mse.uiuc.edu>

would someone please give the price of Axiom. its only fair to the people
who are listening in to this thread and may be panting to get the program
 (i'd give the price but  NAG hasn't told me the cost or sent me a price
sheet).

 btw - the ibm risc 6000 machine that axiom runs on costs  $26,500. 
 [ i was told that there is no intention to port it to the mac (boo,
hiss) but that it will go to other unnamed machines eventually.  

(btw - the new issue of byte mag has a comparision of workstations [ibm
risc 6000, next, sun, sgi iris, apple quadra, etc] which might be of
interest to symb. math program users.)
Newsgroups: sci.math.symbolic
From: monagan@inf.ethz.ch (Michael)
Subject: Re: Maple & Fourier
Summary: Fourier Transforms
Organization: Dept. Informatik, Swiss Federal Institute of Technology (ETH), Zurich, CH
Distribution: usa
Date: Tue, 10 Nov 1992 15:54:27 GMT

In article <1992Nov7.012749.10327@ultb.isc.rit.edu>, cml0464@ultb.isc.rit.edu (C.M. Leung) writes:
> 
> Hi:
> 
> 	I have a specific question: it doesn't seem to me that MapleV
> has the ability to handle Fourier transform.  But it does have laplace
> and ztrans.  I tried to use either of these to imitate the operation of
> fourier transform with substitution of a complex variable.  Unfortunately,
> the expression is so complicated that maple refuses to evaluate it in some
> form that I can plot the result.  Anyone has any suggestion to that?
> 
> 	Is Maple really only able to do exclusively symbolic math, but
> not with numerical task like what I mentioned above?
> 
> Regards

There is a numerical Fourier transform in the library.  Its under the name FFT.
See ?FFT for details.  Also, in the Maple share library, there is a
symbolic Fourier transform.
You can access the Maple share library using anonymous ftp at
daisy.uwaterloo.ca and using electronic mail by sending a message to 
maple-netlib@can.nl containing the text

    send info

Failing that, I can send it to you.

Michael Monagan
monagan@inf.ethz.ch
From: huang@deakin.OZ.AU (Weiguang Huang)
Newsgroups: sci.math.symbolic
Subject: Re:  FREEWARE symbolic math.package??
Date: 10 Nov 1992 23:03:48 +1100
Organization: Deakin University, Victoria, Australia
NNTP-Posting-Host: sol.deakin.oz.au

In article <92311.174110WOESTE@DMSWWU1A.UNI-MUENSTER.DE> Georg Woeste <WOESTE@DMSWWU1A.UNI-MUENSTER.DE> writes:
>References:  <1992Nov4.171108.4174@darwin.ntu.edu.au>
>
>a question: are there existing freeware symbolic mathematic packages?
>If yes, from where can I "ftp" them?
>The only package I found, was FORM by 128.252.135.4 in the directory
>edu/math/msdos/... . But this is a old and not very confortable version.



	I suggest you consider SymbMath.
	It has three versions: Shareware, Student, and Advanced. The 
shareware version is available from SIMTEL20 archives on anonymous FTP sites 
(wsmr-simtel20.army.mil as /calculator/sm211a.zip, rana.cc.deakin.oz.au as 
/huang/sm211a.zip, etc) or by e-mail from listserv@ndsuvm1.bitnet. 


**********************************************************************
*   Dr. Weiguang HUANG                                               *
*   5/6 Cara Road, Geelong, Vic. 3216, Australia                     *
*   Email: huang@deakin.oz.au,      Phone: 61-52-443282              *
* ------------------------------------------------------------------ *
*   SymbMath - a symbolic calculator with learning                   *
*   PlotData - a plotter with analysing data                         *
**********************************************************************

Newsgroups: sci.math.symbolic