HDTenEightyP/NetNews huggingface dataset:
From: S2822338@deimos.ucc.umass.edu (s2822338)
Newsgroups: sci.fractals
Subject: Re: Link between fractals and "non-analytic distributions"
Date: 6 Oct 92 05:42:08 GMT
Organization: University of Massachusetts at Amherst
X-News-Reader: VMS NEWS 1.20

> I would appreciate it if someone could post or mail me the definition
> of a "non-analytic distribution", apparently associated 
> with a fractal support.  Let me state the context of my question:
...
> Does someone know of a book or article which deals with the 
> calculus of such distributions?

wouldn't "non-analytic" imply that there would have to be some OTHER method of
"figuring it all out" other than calculation... therefore no calculus per se
would exist... or at least we'd have to look at something BESIDES the
calculations, not necessarily to their exclusion...
From: steve@Advansoft.COM (Steve Savitzky)
Newsgroups: sci.fractals
Subject: Re: Viewing the Mandelbrot set from 3-space
Date: 24 Sep 92 10:26:31 GMT
	<NICKH.92Sep21103510@VOILA.VENARI.CS.CMU.EDU>
Organization: Advansoft Research Corp, Santa Clara, CA

In article <NICKH.92Sep21103510@VOILA.VENARI.CS.CMU.EDU> nickh@CS.CMU.EDU (Nick Haines) writes:

  Sounds like time to bring up my favourite Peta-flop wasting notion....

  Mandelbrot sets and Julia sets are both sections through a mapping
  from C^2 (where C is the complex plane) to N (the natural numbers,
  0,1,2,...; augmented with infinity I guess). They both iterate this:

  z <- z^2 + c

  until z satisfies some divergence criteria. The two initial values, z0
  and c, form an element (z0,c) of C^2. C^2 can (of course) be seen as
  R^4, with coordinates (z0i,z0r,ci,cr).

I've played this game.  The program I wrote displays sections parallel
to the Mandelbrot or Julia planes, and lets you iterate over either or
both of the free parameters.  You can save the resulting sections.
Not only is it a petaflop waster, it's a terabyte hog as well (e.g.
1000^4 = 1 Tbyte).  The original scheme was to generate datasets for a
multi-dimensional visualization program.  Makes a nice, (very) slowly-
changing screen background.
--
\ --Steve Savitzky--  \    343 Leigh Ave   \ Object-oriented software wizard
 \ steve@advansoft.COM \ San Jose, CA 95128 \ Presently seeking employment:
  \ arc!steve@apple.COM \   h:408-294-6492   \ Resume available on request.
   \__ steve@arc.UUCP _____ w:408-727-3357x246 (9am-6pm) _____________________
Newsgroups: sci.fractals
From: rdblack@neumann.uwaterloo.ca (Robert D. Black)
Subject: Edgar's "Classics on Fractals"
Summary: new book?
Organization: University of Waterloo
Date: Thu, 1 Oct 1992 18:46:25 GMT

A while back I heard that Gerald Edgar was working on a new book,
being the translation into English of various classic papers on
fractals.  I believe the book was to be called (appropriately)
"Classics on Fractals".

Does anyone know if this book has been published yet?  Thanks,

Rob
From: gohel@eggo.csee.usf.edu (Himanshu Gohel)
Newsgroups: sci.fractals
Subject: Book Club - list of fractals/chaos books
Keywords: list of fractals/chaos books
Date: 28 Sep 92 13:52:55 GMT
Followup-To: poster
Distribution: usa
Organization: University of South Florida, Department of Computer Science and Engineering

There's been a lot of talk on books on Fractals and Chaos on this group.
I'm a member of The Natural Sciences Book Club which has a lot of books 
on those subjects.  I'm listing some of them if anyone is interested (at end).

The club also has a host of books on many subjects.  If anyone is interested
in joining the club, send me mail and I'll send you a form.

Himanshu
gohel@eggo.csee.usf.edu
-----------------------------------------------------------------------------
Title, Author, Publisher's Price, Book Club price (add Shipping & Handling)

The Desktop Fractal Design System, by Barnsley, Pub: $39.95, Club: $29.95

The Fractal Geometry of nature, Mandelbrot, 37.95, 29.95,

The Algorithmic Beauty of Plants, $39.95, $32.50

Fractals Everywhere, Barnsley, $39.95, $34.95

Iteration of Rational Functions, Beardon, 39.95, 29.95

Non-linear systems, Drazin, 29.95, 24.95

Chaos: Making a New Science, Gleick, 22.95, 15.95

Encounters with Chaos, Gulick, 35.95, 27.95

The Beautiful of Fractals Lab, Jurgens et al., $49, $36.95

Fractals: Geometrical Figures Repeated Endlessley, Lauwerier, 14.95, 12.95

Chance & Chaos, Ruelle, $24.95, 19.95

Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise, Schroeder,
 $32.95, 27.50

Fractal Growth Phenomena 2/e, Vicsek, $38.00, 29.95

Weak Chaos and Quasi-Regular Patterns, many authors, $75, $49.95
---------------------------------------------------------------------------
--
--
Himanshu Gohel, Gohel@Eggo.csee.usf.edu
U of South Florida, Tampa, FL 33620-3140
From: sas5_ss@uhura.cc.rochester.edu (Scott Schneier)
Newsgroups: sci.fractals
Subject: Mac shareware fractals program?
Date: 28 Sep 92 21:02:52 GMT
Organization: University of Rochester - Rochester, New York

Does any kind person know of a mac shareware fractals program? If so could you 
please mail me and let me know what site, if any, I can ftp it from.
					Thanks,
					Scott Schneier
				sas5_ss@uhura.cc.rochester.edu
-- 
---------------------------------------------------------------------------
|  Scott Schneier                 | "If it's too hard to do,              |
|  sas5_ss@uhura.cc.rochester.edu |  it's not worth doing."-Homer Simpson |
|-------------------------------------------------------------------------|
Newsgroups: sci.fractals
From: tsines@magnus.acs.ohio-state.edu (Todd J Sines)
Subject: are 3d fractals in full color available on the MAC?
Organization: The Ohio State University
Date: Sat, 3 Oct 1992 20:00:33 GMT


just wondering if this is possible? if so, please tell me the name of the 
program i would have to use in order to arbitrarily make 3d fractal images to 
output in tiff or pict format., maybe eps...

sines
-- 
respond >> tsines@magnus.acs.ohio-state.edu
           todd sines 614.299.9529 384 e17th st columbus, oh 43201
           body release (live techno), krushin invisible clothing and ...
From: jesjones@milton.u.washington.edu (Jesse Jones)
Newsgroups: sci.fractals
Subject: Re: are 3d fractals in full color available on the MAC?
Summary: Mandella will render fractals in 3D using full color.
Date: 3 Oct 92 23:11:50 GMT
Article-I.D.: u.1992Oct3.231150.16293
Organization: University of Washington, Seattle

In article <1992Oct3.200033.28644@magnus.acs.ohio-state.edu> tsines@magnus.acs.ohio-state.edu (Todd J Sines) writes:
>
>just wondering if this is possible? if so, please tell me the name of the 
>program i would have to use in order to arbitrarily make 3d fractal images to 
>output in tiff or pict format., maybe eps...
>
>sines

   I don't know of any Mac programs that create *true* 3D fractals for the
Mac. However, Mandella can render fractal images in 3D. The 3D images can
optionally be done using full color. Mandella can be found on, for example,
sumex-aim.stanford.edu.

  --Jesse
Organization: Penn State University
Date: Tue, 29 Sep 1992 19:32:28 EDT
From: <KXM151@psuvm.psu.edu>
Newsgroups: sci.fractals
Subject: information needed

Hi!
 I am a newcomer in maze of fractals! I am trying to find an application of
 fractals in size and shape analysis of dust particals.On a broader perspective
 I want to find an application for fractals in Mining Engineering Problems.
 If you have any information in this area please reply at KXM151@psuvm.psu.edu
Thanks.
From: noel@reg.triumf.ca (NOEL)
Newsgroups: sci.fractals
Subject: Re: Mac shareware fractals program?
Date: 28 Sep 92 22:41:00 GMT
Organization: TRIUMF: Tri-University Meson Facility
News-Software: VAX/VMS VNEWS 1.41

In article <1992Sep28.210252.24785@galileo.cc.rochester.edu>, sas5_ss@uhura.cc.rochester.edu (Scott Schneier) writes...
>Does any kind person know of a mac shareware fractals program? If so could you 
>please mail me and let me know what site, if any, I can ftp it from.
>					Thanks,
>					Scott Schneier
>				sas5_ss@uhura.cc.rochester.edu
>-- 
>---------------------------------------------------------------------------
>|  Scott Schneier                 | "If it's too hard to do,              |
>|  sas5_ss@uhura.cc.rochester.edu |  it's not worth doing."-Homer Simpson |
>|-------------------------------------------------------------------------|

	You might enquire about Jesse Jones's Mandella program that runs
on the MAC platform.  I haven't seen it run but from the papers he has written
it should be quite a versatile fractal platform.   You can reach him at
MX%"jesjones@u.washington.edu", and I believe the program is shareware.
				Noel@reg.triumf.ca
Newsgroups: sci.fractals
From: b645zjq@utarlg.uta.edu (Kent Bowling)
Subject: Animating Julias
News-Software: VAX/VMS VNEWS 1.41    
Organization: The University of Texas at Arlington
Date: Wed, 30 Sep 1992 22:16:00 GMT

I have recently been trying something that I think a lot of people would find
fairly interesting.  I have been creating animations through the use of 
Fractint and the MS-DOS based Autodesk Animator Pro using the batch
capabilities of Fractint.  First I create a program to write out the 
Fractint .par file.  Instead of making the C parameter a constant value,
I have been moving it through an equation.  For instance I took the formulae
		x=sin(theta)*cos(theta)
		y=sin^2(theta)
where
		0<=theta<180.
I made x the real and y the imaginary part of the C constant and generated
200 frames.  The Julias each morph into the next in a very hypnotic pattern.
It is really neat and could potentially be done on any type of fractal
program granted you can play the frames back sequentially at a decent speed.

						Kent Bowling
						B645ZJQ@utarlg.uta.edu

Newsgroups: sci.fractals
From: awhitloc@ringer.cs.utsa.edu (Andrea G. Whitlock)
Subject: Re: Mac shareware fractals program?
Organization: University of Texas at San Antonio
Date: Tue, 29 Sep 1992 13:03:46 GMT

In article <1992Sep28.210252.24785@galileo.cc.rochester.edu> sas5_ss@uhura.cc.rochester.edu (Scott Schneier) writes:
>Does any kind person know of a mac shareware fractals program? If so could you 
>please mail me and let me know what site, if any, I can ftp it from.
>					Thanks,
>					Scott Schneier
>				sas5_ss@uhura.cc.rochester.edu

Ftp to sumex-aim.stanford.edu.  Here are some programs in the
info-mac/app directory (mandella is my favorite):

mandel-net.hqx
mandel-zot-304.hqx
mandella-61.hqx   
chaos-explorer-01b.hqx                             
chaos-simulator.hqx                                
fractal-wizard-15.hqx                             
ifs-fractal-movie.hqx                             


-- 
Andrea G. Whitlock @ The University of Texas at San Antonio, Division of MCSS
awhitloc@ringer.cs.utsa.edu	|	In the force if Yoda's so strong,
whitlock@lonestar.utsa.edu	|	construct a sentence with words in
1mcagw@utsa86.utsa.edu		|	the proper order then why can't he?
From: hkhatuya@sdcc3.ucsd.edu (Haripada Khatuya )
Newsgroups: sci.fractals
Subject: Link between fractals and "non-analytic distributions"
Date: 1 Oct 92 06:36:03 GMT
Organization: University of California, San Diego

I would appreciate it if someone could post or mail me the definition
of a "non-analytic distribution", apparently associated 
with a fractal support.  Let me state the context of my question:
there is a review of the distribution of galaxies and galaxy
clusters in Physics Reports (1992) v.213.  There the authors argue
that the distributions are multifractal and >>hence<< non-analytic.
What is the connection?
Some quotes :

"...upto present observational limits, the distribution of visible
matter in the Universe appears to be fractal and multifractal
without any evidence of homogenisation.  This implies that the
distribution of matter at large scale is non-analytic at every
point."
"The distribution of matter does not possess the requirement of
analyticity and does not become homogenous within the length scales
probed by the sample."

My question is, how does a non-analytic distribution change standard
statistical results, presumably based on "analytic" distributions?
The authors point out the invalidity of using standard
correlation techniques in such cases.  Are other statistical
tests, inference and estimation procedures rendered invalid, too?
Does non-analyticity tie in with "a continous singular
natural measure on a fractal support"?

Does someone know of a book or article which deals with the 
calculus of such distributions?
From: oekelly@riemann.rice.edu (Owen Ernest Kelly)
Newsgroups: sci.fractals
Subject: random processes with nonunique fractal dimension
Date: 5 Oct 92 16:25:52 GMT
Article-I.D.: rice.Bvnpn5.DLJ
Organization: Rice University

There has been some work [Schertzer & Lovejoy, 1988] on characterizing 
multifractal SETS by a method which is more general than assigning a single real
number called the "fractal dimension" to the set.  In their work a set may have
several scaling exponents or even a continuum of them (with an associated density).

Unfortunately, I am not working with SETS.  I am working with 
RANDOM PROCESSES, in particular DOUBLY STOCHASTIC POINT PROCESSES.

I am familiar with the so called SELF SIMILAR random processes and 
I am looking for references in which the idea of NON-UNIQUE SCALING EXPONENT
has been extended to random processes. References to algorithms for estimating the 
spectrum of fractal exponents would be greatly appreciated.

Please e-mail me directly.
Thank you.

Owen Kelly
ECE Dept.
Rice University
Newsgroups: sci.fractals
From: darrin@arrakis.engin.umich.edu (Darrin P Cardani)
Subject: Julia's Dream-Julia Animation
Date: Wed, 30 Sep 92 21:08:55 EDT
Organization: University of Michigan Engineering, Ann Arbor
Originator: darrin@arrakis.engin.umich.edu


Does anyone remember the Mac program Julia's Dream? It did real-time animation
of Julia sets as you moved the cursor around a picture of the M-set. It used
some really fast algorithm for generating the Julia sets and I was wondering if`
the people who wrote it are out there, or if anyone has heard anything about
it since?
						Darrin Cardani
darrin@engin.umich.edu
Newsgroups: sci.fractals
From: kniveton@zeus.swindon.rtsg.mot.com (Andy Kniveton)
Subject: Re: Xfractint where is it?
Organization: Motorola LTD
Date: Thu, 1 Oct 92 09:29:32 GMT

In article <1992Sep30.233124.8630@ccu.umanitoba.ca>, sdyck@ccu.umanitoba.ca (Sheldon Dyck) writes:
> 
> Does anybody know where I can get the executable for Xfractint 
> ver 106?  I've found the source but I can't get it to compile 
> in SunOS. Thanks in advance.
> 
> 
> +=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=+=-=-=-=-=-=-=-=-=-=-=-=-=-=+
> | Sheldon Dyck    <sdyck>                     | 58 Pincarrow Road         |
> | Department of Mathematics,                  | Winnipeg, Manitoba.       |
> | University of Manitoba.                     | Canada,  R3Y-1E3.         |
> | e-mail: sdyck@ccu.UManitoba.CA              | (204)-488-6990            |
> +=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=+=-=-=-=-=-=-=-=-=-=-=-=-=-=+

Look for xfracinit 106 on allspice.berkeley.edu 128.32.150.27

Andy.
-- 
  _ _ /|  	Andy Kniveton,	Tel No	+44 793 545349
  \'o.O'  	Motorola Ltd,	Fax No	+44 793 541228
  =(___)= 	16 Euro Way,	E-mail	kniveton@zeus.swindon.rtsg.mot.com
     U    	Blagrove, Swindon,	kniveton@mot.com
		England, SN5 8YQ.	uunet!motcid!zeus!kniveton

Has anyone heard the rumors concerning HP's new portable 700 series machine ?

I hear that it is small enough to fit in your pocket and is code named Trouser
snake !
				-- Brian Kelly
Newsgroups: sci.fractals
From: dal3@cbnewsg.cb.att.com (dale.e.parson)
Subject: Re: Fractal Oscillator Circuitry
Keywords: Fractal VCO Oscillator Circuit
Organization: AT&T
Date: Tue, 6 Oct 1992 19:35:50 GMT

In article <1992Oct05.234429.10063@bnr.ca> kelvinp@crchh447.bnr.ca (Kelvin Porter) writes:
>I remember, way back in the early days of 'Strange Attractors', seeing an article
>(written I believe by University of Texas Non-Linear Dynamics Professors)
>which mentioned capacitors that exhibited chaotic characteristics...
>It may have been in the Springer-Verlag "Intelligeneer"?????
>
>My question is can direct me to reference(s) regarding chaotic circuitry or better
>yet post ASCII schematics?
>

There are a mere 5 pages on 'electronic chaos' near the end of *Chaos
Cookbook* (Joe Pritchard, Butterworth/Heinemann, 1992) p. 342-346.
His only ref. is a paper by Testa, Perez & Jeffries published in
*Physical Review Letters* (1982) p. 714-717 (no title). The circuit
he uses replaces a capacitor in an LCR (inductor-capacitor-resistor)
oscillator with a varactor, a variable capacitor whose capacitance varies
with applied voltage, introducing non-linear feedback into the circuit.
The project is geared toward observing phase portraits with an oscilloscope.
He does state, "Although I've not done this, I feel that it should be
possible to run this circuit at audio frequencies & monitor the output
on a loudspeaker; this could interesting to see what the different states
of the system sound like as well as what they look like."

I also recall J. Gleick, _Chaos: Making a New Science_, Penguin, New York, 1987
discussing some analog computing work done at Santa Cruz, but of course he
doesn't discuss any circuits.

The Pritchcard stuff is a start if you know electronics, you'd have
to learn at least some oscillator stuff if not. A less messy approach
would be to simulate the circuit on a computer & send the simulation
results to an audio frequency generator, but you'd have to know the
math & device data for modeling the devices. Have fun.

Dale Parson
Newsgroups: sci.fractals
From: magnasco@research.nj.nec.com (Marcelo Magnasco)
Subject: Re: Lebesgue measure in Fractal Dimension
Originator: magnasco@asterion
Organization: NEC Research Institute
Distribution: usa
Date: Tue, 6 Oct 92 19:35:22 GMT

In article <ggrzgca@rpi.edu> sassoj@rs6412.ecs.rpi.edu (John J. Sasso Jr.) writes:
>   Now, the Cantor set has Lebesgue measure 0 for the Lebesgue measure defined
>in spaces R^1, R^2, etc...  However, the Cantor does have a fractal dimension
>(or Hausdorff dimension) between 0 and 1 (I cannnot recall the value), and
log(2)/log(3)

>I'll call this dimension Df.  Is it possible to define a Lebesgue measure in
>a space of dimension Df (R^Df) such that the measure of the Cantor set is a 
>value other than 0?
It is possible to define a measure such that the Cantor set has positive 
measure, and any set contained in its complement has zero measure. It is
possible to define infinitely many such measures.

But requesting that it be a Lebesgue measure is not something you can do,
as you will easily realize on some reflection, because there is no 
Euclidean space of noninteger dimensionality. Lebesgue measure is defined
through use of very special properties of R^n: it is the only measure 
to be invariant under rototranslations and to coincide with regular volume
on rectangles. 

There is no canonical space of dimension Df, there is no such space that
will satisfy the axioms of linear algebra etc etc, be a Lie group, etc. etc.
These are the properties of R^n you use to make one measure (Lebesgue)
stand out of the crowd of infinitely measures. 

Sure enough, you can, however, make a measure whose support will coincide 
with the cantor set. But there is no canonical such measure. 

Best Regards,
Marcelo Magnasco
marcelo@mjf.rockefeller.edu	magnasco@research.nj.nec.com
From: 92marsh@gw.wmich.edu
Newsgroups: sci.fractals
Subject: Re: Mac shareware fractals program?
Date: 29 Sep 92 01:15:05 EST
Organization: Western Michigan University


	Hello,
         Darrin writes the following:

> Try Mandelzot by Dave Platt. It seems to be the definative fractal
> program for the Mac and has the best interface I've found for any fractal
> program for the Mac. It's also quite expandable. It can be anon. ftped from
> sumex-aim.stanford.edu
> 						Darrin Cardani
> darrin@engin.umich.edu
> 


         You may wish to know that the file mandel-zot (and a few
         other chaos/fractal programs) is available in the
         /info-mac/app directory.  Knowing that will save you 20
         minutes of wandering about a busy ftp site.  I am sure to
         folks who manage the ftp site will also appreciate that.
           Check out that directory, it has some excellent mac
         applications.  In a different directory (/info-mac/misc, I
         believe) there is a guide to ftp sites that have mac
         programs.

         Peace

         Charles Marsh
From: 10642749@eng2.eng.monash.edu.au (MARTIN OLBRICH)
Newsgroups: sci.fractals
Subject: Aperiodicity in the Lorenz Attractor
Date: 6 Oct 92 07:19:43 GMT
Organization: Faculty of Engineering, Monash University


  Greetings!
  I am currently completing an undergrad prac on the lorenz attractor, and 
I'm having some trouble with the aperiodicity of the attractor. Having spent 
some time looking at lots of pretty pictures, I can accept with no worries 
the idea that the whole structure forms an infinite layering effect, and 
therefore the attractor can easily be aperiodic.

  The problem is how to say this in a report. Is there any proof that the 
attractor is aperiodic?? Some texts refer to the extreme unlikelihood(?) of 
this, but this only implies that periodicity does occur. If it does, can it 
be pinned down? Is there then any test for periodicity vs. aperiodicity, eg. 
values for sigma, b and r, or do the initial conditions ruin all hope?? 
Other texts seem to take it for granted that it is aperiodic. Is the problem 
the fact that it is simulated in a computer, which theoretically is not 
cabable of resolving ifinitesimal differences?

  Before anyone tells me to read Sparrow, it's been stolen/hidden in our 
library.

  All help/info/ideas gladly accepted!!

  Cheers,
  Marty.
Newsgroups: sci.fractals,alt.fractals
From: wong@rkna50.riken.go.jp (Wong Weng Fai)
Subject: Porting Xfractint to the IRIS
Organization: Institute of Physical & Chemical Research (RIKEN) Saitama,Japan
Date: Wed, 30 Sep 1992 01:54:32 GMT


Hi,

	Someone asked about porting xfractint to the IRIS. It is quite
simple. Please do the following :

	1. Edit the Makefile and make sure you got the various directories
	correct.

	2. In the Makefile, use those flags associated with HP-UX. IRIX is
	System 5 based.

	3. For compilation, set the compiler to "cc -cckr". This gives the
	minimal checking and least warning messages. Also, there is a
	line which says "#strip" or something - remove it.

	4. Edit the file "fracsubr.c", delete the include for "sys/timeb.h"
	and include instead the program text given at the end of this
	posting. (Name it as something else and add the necessary include
	statement into the file.)

	5. Edit the file "unixscr.c" and rename the variable "timeout"
	(using global substition) to something else. I used "tout".
	Apparently, the variable "timeout" is defined in one of the
	include files of IRIX.

	6. Type "make" and you're off ...

	Hope this helps ... Enjoy !

Regards,

W.F. Wong.

---------------------- cut here ------------------

#include <sys/time.h>

struct timeb
{
	time_t	time;
	unsigned short millitm;
	short	timezone;
	short	dstflag;
};

int ftime(tp)
struct timeb *tp;
{

	tp->time = time();
	tp->millitm = 0;       /* Yes, no millisecond resoultion timer */
	tp->timezone = 0xfde4; /* This is for Japan but I think it don't
				  really matters */
	tp->dstflag = 0;
        return (0);
}