HDTenEightyP/NetNews huggingface dataset:
From: abbasi@star.enet.dec.com (Nasser ABBASI)
Subject: MAPLE, error using inverse Z transform, why?
Organization: Digital Equipment Corporation
Date: Thu, 16 Apr 1992 03:13:45 GMT


MAPLE V on VAX/VMS 5.4

>readlib(ztrans);
system error, get2

>invztrans(z/(z-2),z,n);
error, (in invztrans/ratpoly)
wrong number (or type) of parameters in function normal

Now, what did I do wrong? Iam following example in MAPLE book page 295.

and what is system error in get2?

Thanks in advance for any help.

/nasser
Newsgroups: sci.math.symbolic
From: withoff@spider.wri.com (David Withoff)
Subject: Re: Mathematica and os/2
Organization: Wolfram Research, Inc.
Date: Fri, 10 Apr 1992 20:07:34 GMT

In article <1992Apr10.150410.20182@ux1.cso.uiuc.edu> jpg41900@uxa.cso.uiuc.edu (?) writes:
>frank@unixg.ubc.ca (Murray Frank) writes:
>
>>Mathematica for Windows does not run under os/2 2.0. I have not
>>managed to find out what Wolfram Research's plans are for os/2 
>>compatability. Accordingly can anyone tell me about using Maple under
>>os/2 2.0? Also what would it cost to upgrade to Maple (if it runs well
>>under os/2)? Thanks.
>
>
>We been beta-testing an alpha version of Mathematica 2.1 for Windows 3.1.
>This version is nicer than version 2.0 and is supposedly more compatible with
>Microsoft's standards (whatever they are :) ).  From what I've heard, programs
>that are up to these standards should run under OS/2 2.0.
>
>Just my 1/50's part of a dollar.
>
>
>Justin Gallivan                             gallivan@after.math.uiuc.edu
>Calculus&Mathematica Development Team
>University of Illinois
>

There's a nice set of articles in the latest issue of PC Magazine about
Windows, including specific technical details about why OS/2 Windows won't
run Mathematica (the need for Windows "enhanced" mode, etc.).  The technical
problems can be solved, but they haven't been solved yet.  The articles are
still well worth reading.

Dave Withoff
withoff@wri.com
Organization: University of Illinois at Chicago
Date: Wednesday, 8 Apr 1992 12:34:20 CDT
From: <U31073@uicvm.uic.edu>
Newsgroups: sci.math.symbolic
Subject:    How can I generate a PostScript file?

Presently I am working with SphericalPlot3D. Since I have now
generated a workable graphic of a plot, how can I send this
to a PostScript file?

I looked on pp. 464 and 465 of the Mathematica book and some
commands are given:

Display["file", graphics]   and  Display["!program", graphics]

I am not able to decipher exactly what this entails. I am using a
Macintosh II system with Mathematica version 2.0. If at all
possible I would like to send this to a file that can be read
by MacDraw.

Any help would be appreciated.

Brent Yurschak
U31073@UICVM.UIC.EDU
From: dhalem@cats.ucsc.edu (Daniel Aaron Halem)
Newsgroups: sci.math.symbolic
Subject: Polynomial Roots In Mma
Date: 9 Apr 92 01:12:50 GMT
Distribution: na
Organization: University of California, Santa Cruz


I am somewhat new to using Mathematica, so maybe my problem has a simple
answer.  I have been trying to have Mma find roots to polynomials that
I know are irreducilble over Q.  For certain polys it seems to work without
a glitch, but when I try:

	x^6+x^5+x^4+x^3+x^2+x+1=0

which I know from Eisenstien's criterion is irreducible over Q, It
will only find numerical solutions.  Of course this poly has root over C,
but how do I make Mma find them?

any help would be appreciated.

	Dan

-- 
------------------------------------------------------------------------------
Dan Halem                            |   "Increasingly, the mathematics will
Mathematics                          |     demand the courage to face its
University of California, Santa Cruz |     implications"
dhalem@cats.ucsc.edu                 |                - Michael Crichton
------------------------------------------------------------------------------
From: slkqz@cc.usu.edu
Newsgroups: sci.math.symbolic
Subject: Matlab or MathCAD
Date: 9 Apr 92 22:51:45 GMT
Article-I.D.: cc.1992Apr9.165146.54353
Organization: Utah State University

Please help me ????

I have to select one of the following offers :

- Matlab Student Ver.  for  $50.
- MathCAD              for  $99 (Re. $495).

I can go to $99 if the performance of MathCAD is better.
Or is there any suggestions, please ?


Thank in advance,

Donny,
------------------------------------------------------------
Idris M. Kamil
UWRL-USU                         BITNET :SLKQZ@cc.usu.edu
Logan, UT 84322-8200             Internet : ikami@pub.uwrl.usu.edu
------------------------------------------------------------------
Newsgroups: sci.math.symbolic
Subject: Re: Mathematica Output
From: a_rubin@dsg4.dse.beckman.com (Arthur Rubin)
Date: 13 Apr 92 23:04:13 GMT
Distribution: world
Organization: Beckman Instruments, Inc.

In <9204130157.AA26077@gauss.casr.fau.edu> li@GAUSS.CASR.FAU.EDU (Charlie Li) writes:

>Hi, I have trouble to find the command to save a bunch of outputs to a
>file instead of screen display.  Just like Reduce's "OUT filename" command.
>I know that we can add ">> filename" at the end of each input line can
>save the output to a file, but it is kind of hard to do it repeatedly.
>Also, if I use "<< filename" to run several commands, it only outputs the
>result of the last command, I cannot see the intermidiate result.

>I tried to use "math < input > output", but the output file doesn't
>contain the input line, so we have to compare with the input file line by
>line to read the output file.

Perhaps:

AppendTo[$Echo,OpenAppend["filename"]]
AppendTo[$Output,Last[$Echo]]

(Disadvantage; they both come out in InputForm; normally, one would want
$Echo in InputForm and $Output in OutputForm, and I'm not sure you can do
that in Mma.)  This is V2.0.  I think V1.2 was the same, but I'm not sure.
--
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.
Ich bin ein Virus.  Mach' mit und kopiere mich in Deine .signature.
From: kab@adpgate.UUCP (Ken Baker)
Newsgroups: sci.math.symbolic
Subject: versions of mathematical programs on Motorola 88k unix
Date: 10 Apr 92 04:04:09 GMT
Article-I.D.: hdwexp.1273
Organization: ADP Dealer Services R&D, Portland, OR

Has anyone seen any packages such as Matematica that run on the Motorola
88K platform? ( Or are 88 open compliant?). Mathematica says they are not
and do not plan to port to 88 open till the next release. Please email
or post any responses.


Ken Baker                                       ADP Dealer Services (Plaza R&D)
kab@adpgate.UUCP                 . . .  tektronix!nosun!cvedc!mcspdx!adpgate!kab
Voice: (503) 294-4200 ext. 2528      . . . uunet!apple!motcsd!mcspdx!adpgate!kab
-- 
Ken Baker                                       ADP Dealer Services (Plaza R&D)
kab@adpgate.UUCP                 . . .  tektronix!nosun!cvedc!mcspdx!adpgate!kab
Voice: (503) 294-4200 ext. 2528      . . . uunet!apple!motcsd!mcspdx!adpgate!kab
Newsgroups: sci.math.symbolic
From: withoff@spider.wri.com (David Withoff)
Subject: Re: Mathematica Does Some Incredibly Stupid Things!
Organization: Wolfram Research, Inc.
Date: Fri, 10 Apr 1992 20:18:00 GMT

In article <1992Apr9.233709.4306@EE.Stanford.EDU> siegman@EE.Stanford.EDU (Anthony E. Siegman) writes:
>Try
>
>   g1 = Plot[f[x], {x,0,1}, Frame->True]
>   Show[g1, FrameLabel->{,,"My Plot",}]
>
>You'll get "My Plot" on the top as desired; "Null" on the bottom; and
>
>     l               l
>     l               l
>     u               u
>     N               N          
>
>up both the right and left
>the letters aren't centered, but visibly left-justified
>
>I'll go back and and do it all over with
>
>    FrameLabel->{," "," ","My Plot", " "}.
>

The missing elements in {,,"My Plot",} are treated as Null, so it
becomes {Null, Null, "My Plot", Null}.  Use None to leave out labels,
i.e. FrameLabel -> {None, None, "My Plot", None}.

The font you used must have been designed with the characters left-justified
in the box assigned to each character.  If you don't like the way that comes
out you could try a different font.
From: srwmcln@windy.dsir.govt.nz
Newsgroups: sci.math.symbolic
Subject: Re: Grobner basis calculation in MapleV
Date: 16 Apr 92 11:46:17 +1200
Organization: DSIR, Wellington, New Zealand

In article <18456@ector.cs.purdue.edu>, avr@cs.purdue.EDU (Andrew V. Royappa) writes:
> Hi, I have a question about the Gr"obner basis calculation in Maple.
> We just got Maple V (I like it).
> 
> I am trying to implicitize a rational parametric surface. Actually, I'm
> trying to compute the inversion functions that give the parameters 
....
>

I note that -z^2-1+x^2+y^2 is 0 for all (u,v) except at (u,v)=(0,+/-1) and at
(u,v)=(+/-1,0) where (x,y,z) is undefined.

Clive.
Newsgroups: sci.math.symbolic
From: siegman@EE.Stanford.EDU (Anthony E. Siegman)
Subject: Mathematica Does Some Incredibly Stupid Things!
Organization: Stanford University
Date: Thu, 9 Apr 92 23:37:09 GMT

Try

   g1 = Plot[f[x], {x,0,1}, Frame->True]
   Show[g1, FrameLabel->{,,"My Plot",}]

You'll get "My Plot" on the top as desired; "Null" (which you didn't
ask for) on the bottom; and

     l               l
     l               l
     u               u
     N               N          

that's right, not even "Null" but "lluN", up both the right and left
sides.  And as an added fillip the letters aren't centered as in the
screen display here, but visibly left-justified, which makes things
look even weirder.

OK, I'll go back and and do it all over with

    FrameLabel->{," "," ","My Plot", " "}.
From: stanly@crunch..unm.edu (Stanly Steinberg)
Newsgroups: sci.math.symbolic
Subject: Science Article About Symbol Manipulation
Keywords: Symbol Manipulation
Date: 16 Apr 92 21:33:05 GMT
Article-I.D.: lynx.qb1jmq+
Organization: University of New Mexico


The 3 April 1992 Science magazine has a section called
"Computers in Science" which has a section called
"Bringing the Computer Revolution Down to a Personal Level"
which begins with a section called 
"Software for solving equations" that is about symbol manipulation.
Mathematica is emphasized, but most systems are mentioned.
I am not impressed by the accuracy of the article!
--
Professor Stanly Steinberg, Department of Mathematics and Statistics
University of New Mexico, Albuquerque, NM 87131-1141, 505-277-5323
stanly@math.unm.edu    stanly@unmb.bitnet
FAX 505-277-5505 (or at Ecodynamics 505-843-9641)
Newsgroups: sci.math.symbolic
From: haase@neuro.uchicago.edu (Mark Haase)
Subject: Rand & Armbruster
Keywords: Bifurcation theory, Macsyma, Mathematica
Organization: Dept. of Mathematics, U. of Chicago
Date: Thu, 9 Apr 1992 02:22:30 GMT

Dear Users:
I have been working on translating the code from Rand & Armbruster's
book on bifurcation theory, perturbation methods and computer algebra
from Macsyma to Mathematica.  All of the routines given in the book are
written in Macsyma.  Has anyone worked out these routines?
Thank you very much.

Sincerely,
Chris Haase
University of Chicago
From: dhalem@cats.ucsc.edu (Daniel Aaron Halem)
Newsgroups: sci.math.symbolic
Subject: Mma For Windows Displays Bugs
Date: 16 Apr 92 01:35:37 GMT
Distribution: na
Organization: University of California, Santa Cruz


I was just curious if anyone else has been experiencing the kind of problems
I've been haveing with Mma for Windows.  Once I have stared working on a note-
book with a complicated structure, it seems like Mma loses track of where it is
on the screen, and I end with garbled pieces of the notebook overlapped on top  of each-other.  The worst problem is that saveing and reloading does not seem
to fix the problem.  Have I lost my notebook forever?  Does anyone have any ideawhat I can do to fix this?  I was able to go in and grab the important parts of
my programs, but I would like to get the whole notebook back.  Any suggestions
would be appreciated.

		Dan
 
-- 
------------------------------------------------------------------------------
Dan Halem                            |   "Increasingly, the mathematics will
Mathematics                          |     demand the courage to face its
University of California, Santa Cruz |     implications"
dhalem@cats.ucsc.edu                 |                - Michael Crichton
------------------------------------------------------------------------------
From: jkc@keller.Mines.Colorado.EDU (Jack K. Cohen)
Newsgroups: sci.math.symbolic
Subject: Re: mma animation
Date: 16 Apr 92 22:23:47 GMT
Organization: Colorado School of Mines

In sci.math.symbolic article  
<1992Apr15.232344.16404@cunixf.cc.columbia.edu> you wrote:
> Please someone out there help me with mathematica animation.  I am using  
NeXT Mathematica 2.0.  I followed careful the example on page 175 of  
Mathematica by S. Wolfram, but don't see the animation?  I think I am  
missing something but can not figure the missing part.  
> ...

Briefly:
1. Select the desired graphics.
2. Command-y to animate.

Be glad to supply further details if needed (e-mail me).
From: flatau@lamar.ColoState.EDU (Piotr Flatau)
Newsgroups: sci.math.symbolic
Subject: Re: Maple V Release 2
Date: 8 Apr 92 16:41:41 GMT
Organization: Colorado State University, Fort Collins, CO  80523

I would like to plot some polyhedra using MapleV (say, cube).
How can I do it ? More general: can I plot polygon or sequence
of polygons (faces) in 3D using Maple. Somewhat similar to the
"Polyhedra.m" package in Mathematica.

Is there any publication describing MapleV "by example" .
 mean something other than MapleV Library Reference Manual, and
 MapleV Language Reference Manual.

Peter
From: HINDAWI@EGFRCUVX.BITNET (AHMED HINDAWI)
Subject: SignOff: HELP
Originator: daemon@Condor.mcs.kent.edu
Organization: Kent Gateway
Date: Thu, 16 Apr 1992 17:28:00 GMT

Dear Net-workers,

    I will be out for few weeks,  so  it  is  more  convenient  to
signoff from this mailing list until  coming  back.  I  should  be
grateful if you could tell me how  to signoff, to which address  I
should send such request, and more importantly how I can subscribe
again.

    Thank you in anticipation.

Yours sincerely, Ahmed
From: jkc@keller.Mines.Colorado.EDU (Jack K. Cohen)
Newsgroups: sci.math.symbolic
Subject: Re: Mathematica/Simultaneous Equations
Date: 8 Apr 92 22:29:14 GMT
Organization: Colorado School of Mines

In article <1992Apr8.160537.27645@msuinfo.cl.msu.edu>  
engelsma@golden.cps.msu.edu (Engelsma Jonathan) writes:
> I have a question regarding Mathematica.    I have a set of simultaneous
> equations which includes both differential and algebraic equations.
> Here is a simple example: (using Mathematica syntax)
> 
>        y'[t] == 2y[t]-z[t]
>        z[t]  == t 100y[t]
> 
> I would like to solve for z[t] and y[t] with a command like:
> 
> 	DSolve[{y'[t] == 2 y[t] - z[t], z[t] == 100 t y[t]}, 
> 		{y[t],z[t]},t]
> ...

This is probably not the answer you want, but one way out is to
replace the algebraic equations by differential equations plus
initial conditions.  In your simple example, this gives:

	DSolve[{y'[t] == 2 y[t] - z[t],
			z'[t] == 100 (y[t] + t y'[t]),
			z[0] == 0}, 
		{y[t],z[t]},t]
Newsgroups: sci.math.symbolic
From: vijay@jessica.Stanford.EDU (vijay mehrotra)
Subject: Mma / FORTRAN question
Reply-To: vijay@jessica.Stanford.EDU (vijay mehrotra)
Organization: Stanford University
Date: Tue, 14 Apr 92 20:46:04 GMT

This is a really messy problem for me to explain, but I hope 
this explanattion is clear.  

I have a fairly complex program, which I'll call "A", written 
in FORTRAN.  This program was provided to me by someone who has
spent a lot of time debugging the code, so this is definitely 
a case where I don't want to mess around with the source code.

The program A requires the user to input a subroutine, which I'll 
refer to as "B".  The subroutine B is then called by A several times.  

THE PROBLEM:  Several months ago, I created a Mathematica
package which is equivalent to B, and I spent a lot of time debugging
and documenting it.  If there is any way around it, I'd like to 
avoid rewriting B from scratch in FORTRAN.

Any ideas?  I'd appreciate any suggestions, ideas, advice, or assistance
that anyone could offer on this.  Please drop me a note or give me a 
call at (415) 723-1900.

Thanks much,

Vijay
===============================================================================
|| Vijay Mehrotra         L&IR Math/Stat Consultant      Stanford University ||
|| Ph.D. Student in Operations Research    email: vijay@jessica.stanford.edu || 
||---------------------------------------------------------------------------||
|| 	"In the end I know						     ||
||	 But on the way I wonder."                                           ||
||				CAT STEVENS                                  ||
===============================================================================
From: gaston@cpsc.ucalgary.ca (Gaston Groisman)
Newsgroups: sci.math.symbolic
Subject: Mathematica 2.0 in NeXT (question)
Date: 14 Apr 92 04:14:18 GMT
Followup-To: gaston@cpsc.ucalgary.ca
Organization: U. of Calgary Computer Science


I now have Mathematica 2.0 in my NeXT station. When I try to run an old
notebook with it, all plots show up as PostScript code.  These notebooks
work fine with 1.2, where I get the actual plots and if I type a plot 
command in 2.0 it also works fine.

What is wrong with either those notebooks or 2.0?
-- 
 Gaston Groisman          +-------------------------------------+
 Computer Science Dep.    |      gaston@cpsc.ucalgary.ca        |
 University of Calgary    |      groisman@uncamult.bitnet       |
 Alberta, CANADA          +-------------------------------------+
From: flatau@lamar.ColoState.EDU (Piotr Flatau)
Newsgroups: sci.math.symbolic
Subject: Variable  ReadList input. How to ?
Date: 14 Apr 92 05:11:38 GMT
Organization: Colorado State University, Fort Collins, CO  80523


.
I have a list of numbers somewhat like that

3 1 2 3
3 67 45 23
3 1 8 9
4 2 3 4 9

where the firstnumber indicates how many numbers will follow.
How do I  code

ReadList["myfile", {Number, Number .....}]
such that it sometimes reads-in 3 numbers and sometimes 
4 (these which follow the first one). The problem originates
when describing polyhedra as a linked list of vertices and faces.

Peter
Newsgroups: sci.math.symbolic
From: drobnies@saturn.sdsu.edu (Saul Drobnies)
Subject: Stella
Originator: drobnies@saturn.sdsu.edu
Keywords: Limits to growth, simulation, world dynamics
Organization: San Diego State University, Math Dept.
Date: Fri, 17 Apr 1992 14:53:28 GMT

Doe anyone have a reference on STELL, a modeling language,
used by the Dennis Meadows limits to growth group? I would
like to get a text that describes its features and find out
how to order the package. Thanks,

		drobnies@saturn.sdsu.edu



Newsgroups: sci.math.symbolic
From: siegman@EE.Stanford.EDU (Anthony E. Siegman)
Subject: Re: Mathematica Output
Organization: Stanford University
Date: Tue, 14 Apr 92 03:50:53 GMT

In article <9204130157.AA26077@gauss.casr.fau.edu> li@GAUSS.CASR.FAU.EDU (Charlie Li) writes:
>Hi, I have trouble to find the command to save a bunch of outputs to a
>file instead of screen display.  Just like Reduce's "OUT filename" command.

   Look at Section 9.4, "Session Logging", in Roman Maeder's book
PROGRAMMING IN MATHEMATICA.  Some nice methods.  Sorry, I really
haven't time to type them all in here, and anyway the book deserves
being looked at.
From: simpson@matt.ksu.ksu.edu (Phillip C Simpson)
Newsgroups: sci.math.symbolic
Subject: Minimal Surface Package
Date: 8 Apr 1992 13:57:30 -0500
Organization: Kansas State University
NNTP-Posting-Host: matt.ksu.ksu.edu
Keywords: Minimal surface, differential geometry, yeti


Once, not so long ago, I had a Minimal Surfaces Package for Mathematica.  I have
since lost it and do not remember where I picked it up. I would greatly 
appreciate any help in tracking it down. Or a reference to a to a directory of 
ftp sites that have Mathematica related info. 

Thank you very much, 

P. Simpson
Organization: Ministry of Education, Computer Center NETNEWS system V2.3
Date: Friday, 10 Apr 1992 21:55:48 EST
From: <NCKUT057@twnmoe10.edu.tw>
Newsgroups: sci.math.symbolic
Subject: How to get MathTensor?

Dear sir,
   I want a Mathematica Package: MathTensor [Parker and Christenson 1989]
, or any related packages about general relativity. How could I get it?
Please reply here for me, or send an e-mail to me. My e-mail address is:

        NCKUT057@TWNMOE10

Thank you very much.
                                                      G.J.Cheng
                                                      '92/04/10 Pm.10:05
From: fanning@cae.wisc.edu (Thomas Fanning)
Newsgroups: sci.math.symbolic
Subject: Re: Mathematica Output
Date: 14 Apr 92 00:59:59 GMT
Article-I.D.: doug.1992Apr13.200000.4635
Organization: College of Engineering, Univ. of Wisconsin-Madison

In article <a_rubin.703206253@dn66> a_rubin@dsg4.dse.beckman.com (Arthur Rubin)
writes:
>In <9204130157.AA26077@gauss.casr.fau.edu> li@GAUSS.CASR.FAU.EDU (Charlie Li)
 writes:
>
>>Hi, I have trouble to find the command to save a bunch of outputs to a
>>file instead of screen display.  Just like Reduce's "OUT filename" command.
>>I know that we can add ">> filename" at the end of each input line can
>>save the output to a file, but it is kind of hard to do it repeatedly.
>>Also, if I use "<< filename" to run several commands, it only outputs the
>>result of the last command, I cannot see the intermidiate result.
...

>
>Perhaps:
>
>AppendTo[$Echo,OpenAppend["filename"]]
>AppendTo[$Output,Last[$Echo]]
>
>(Disadvantage; they both come out in InputForm; normally, one would want
>$Echo in InputForm and $Output in OutputForm, and I'm not sure you can do
>that in Mma.)  This is V2.0.  I think V1.2 was the same, but I'm not sure.

You can use OutputForm for the file, and it doesn't affect the input.  I have 
the following lines in my init.m file:

AppendTo[$Output,OpenAppend["math.session",FormatType->OutputForm]]
AppendTo[$Echo,"math.session"]
AppendTo[$Messages,"math.session"]

I have included the $Messages so that error messages are also displayed,
but that is not necessary.

--
Thomas Fanning
fanning@cae.wisc.edu
Department of Nuclear Engineering and Engineering Physics
University of Wisconsin - Madison
Newsgroups: sci.math
From: roach@bikini.wri.com (Kelly Roach)
Subject: Re: ideas to prove f_n --> 0
Organization: Wolfram Research, Inc.
Date: Wed, 15 Apr 1992 14:10:21 GMT

Last month, zwang@pop.stat.purdue.edu (Zhongcheng Wang) wrote:

> Greetings all,     I am looking for any idea to prove that 
> f_n(x) goes to 0 as n increasing, where f_n(x) is a function
> on [0,1] and is defined by
>
>  f_n(x) = 0.5*(g(x/2)*f_(n-1)(x/2) + g(1-x/2)*f_(n-1)(1-x/2))
>   
> starting with f_0(x) being a constant on [0,1]....


     It seems that g is nonnegative and therefore each f_n is
bounded below by 0.  Once it is established that

     f_(N+1)(x) <= alpha*f_N(x)          (0<=x<=1)

for some 0<=alpha<1 and N, it is simple to prove

     f_n(x) <= alpha^(n-N)*f_N(x)        (n>=N,0<=x<=1)

for all n>=N.  The induction step is

     f_n(x) <= 0.5*(g(x/2)*f_(n-1)(x/2) + g(1-x/2)*f_(n-1)(1-x/2))
            <= 0.5*alpha^(n-1-N)*(g(x/2)*f_N(x/2) + g(1-x/2)*f_N(1-x/2))
            <= alpha^(n-1-N)*f_(N+1)(x)
            <= alpha^(n-N)*f_N(x)

Next, if you plot f_3(x)/f_2(x) you will see that f_3(x)/f_2(x)
is always less than 0.75.  So take N==2 and alpha==0.75.  This
proves f_n -> 0 uniformly on [0,1].

				Kelly