Intuition-geometry-computation-mathematics

classic Classic list List threaded Threaded
1 message Options
Reply | Threaded
Open this post in threaded view
|

Intuition-geometry-computation-mathematics

Nick Thompson

Peter,  

Thanks for helping out here.  I make my comment below in CAPS.  Not
SHOUTING, I promise.

N

> [Original Message]
> From: <friam-request at redfish.com>
> To: <friam at redfish.com>
> Date: 7/25/2007 10:03:55 AM
> Subject: Friam Digest, Vol 49, Issue 22
>
> Send Friam mailing list submissions to
> friam at redfish.com
>
> --------------------------------------
>
> Message: 1
> Date: Tue, 24 Jul 2007 12:39:06 -0600
> From: "Peter Lissaman" <plissaman at earthlink.net>
> Subject: [FRIAM] Intuition-geometry-computation-mathematics
> To: friam at redfish.com
> Message-ID: <380-22007722418396563 at earthlink.net>
> Content-Type: text/plain; charset=US-ASCII
>
> Intuition-geometry-computation-mathematics
>
> The limitations of the mean value theorem are well understood by any
> carpenter who ever laid out a triangular roof beam.  The mean slope is
that
> of the horizontal tie beam; the local slope is that of the rafters.
> Nowhere does any piece of rafter have the mean slope.

I THINK MY MATHEMATICAL CORRESPONPONDENTS WILL RESPOND THAT THERE IS NO
DIFFERENTIABLE, CONTINUOUS FUNCTION THAT CORRESPONDS TO THE SHAPE OF A
ROOF.  THEREFORE THE MEAN VALUE THEORY DOES NOT AND SHOULD NOT APPLY.

LET'S SEE!

nICK
>
> Intuition is in the eye of the beholder.  The intuition of a test pilot is
> different from that of a violinist.  The fighter jock intuits that a
little
> topstick will sweeten his turn, the fiddler intuits tiny details of bowing
> will sweeten his melody.  Both are true, and learned from years of doing
it
> wrong.   Sooo intuition about things with which one has no experience
means
> nothing.
> Geometry has no place in mathematics.  Mathematics cannot be explained
> graphically -- all math proofs must be for blind men, as me tutor used to
> say.  Pictures are beautiful, but for architects and renaissance
draftsmen.
> Hardy?s great book on pure mathematics, like the Bible contains many
> transcendental truths, but no prevarications, no illustrations and no
> jocularities!
> Computation is, shall we say, counting, very fast, on very many fingers.
> Pablo Picasso said, ?Computers are useless: they can only give you
answers?.
> Mathematics has been called the Queen of the Sciences and is essentially
an

> abstract and difficult discipline.
> Consider the ancient puzzlements below, which are answered differently by
> the four above disciplines, and illustrate their distinction.
> The length of the hypotenuse of an isosceles right triangle of unit side,
> which cannot be determined in rational numbers (it?s called root two, but
> that?s its name, not value)
> The definition of the interior of a closed curve ( I dunno, nor did Cauchy
> or my tutor)
> The perimeter of a circle constructed from infinitely small square tiles
> laid orthogonally (it?s 4 D)
> The sum of the infinite series 1/n, compared with that of 1/n squared
(it?s

> infinite in the first case, in t?other not)
>
> Peter Lissaman,  Da Vinci Ventures
>
> Expertise is not knowing everything, but knowing what to look for.
>
> 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> TEL: (505) 983-7728                        FAX: (505) 983-1694
>
>
> > [Original Message]
> > From: <friam-request at redfish.com>
> > To: <friam at redfish.com>
> > Date: 7/23/2007 10:03:23 AM
> > Subject: Friam Digest, Vol 49, Issue 21
> >
> > Send Friam mailing list submissions to
> > friam at redfish.com
> >
> > To subscribe or unsubscribe via the World Wide Web, visit
> > http://redfish.com/mailman/listinfo/friam_redfish.com
> > or, via email, send a message with subject or body 'help' to
> > friam-request at redfish.com
> >
> > You can reach the person managing the list at
> > friam-owner at redfish.com
> >
> > When replying, please edit your Subject line so it is more specific
> > than "Re: Contents of Friam digest..."
> >
> >
> > Today's Topics:
> >
> >    1. Re: Why "true" random? (Robert Howard)
> >    2. Re: Why "true" random? (Russell Standish)
> >    3. DISREGARD: math and the mother church (Nicholas Thompson)
> >    4. Re: Why "true" random? (James Steiner)
> >    5. Re: DISREGARD: math and the mother church (Russell Standish)
> >    6. Re: Criminalizing Peace (PPARYSKI at aol.com)
> >    7. Re: Despite the Web, Americans Remain Woefully Ill-Informed
> >       (steve smith)
> >    8. Re: Why "true" random? (PPARYSKI at aol.com)
> >    9. Re: Criminalizing Peace (PPARYSKI at aol.com)
> >   10. Re: DISREGARD: math and the mother church (Nicholas Thompson)
> >   11. Re: Despite the Web, Americans Remain Woefully Ill-Informed
> >       (Roger Critchlow)
> >   12. Re: Despite the Web, Americans Remain Woefully Ill-Informed
> >       (Marcus G. Daniels)
> >   13. It's the Spies, Stupid! (Peter Lissaman)
> >   14. Re: math and the mother church (G?nther Greindl)
> >
> >
> > ----------------------------------------------------------------------
> >
> > Message: 1
> > Date: Sun, 22 Jul 2007 13:52:35 -0700
> > From: "Robert Howard" <rob at symmetricobjects.com>
> > Subject: Re: [FRIAM] Why "true" random?
> > To: "'The Friday Morning Applied Complexity Coffee Group'"
> > <friam at redfish.com>
> > Message-ID: <007501c7cca2$3bd15010$0400a8c0 at Core2Duo>
> > Content-Type: text/plain; charset="us-ascii"
> >
> > How about deleting confidential data from hard disks!
> >
> > The solution today is to overwrite it many times with random data.
> >
> > But modern mathematics and technology makes it possible to recover the
> much
> > of the original text given the original random sequence used to delete
the
> > data. Given a long sequence of deleted white space (or zeros on the
disk),

> > then it becomes possible to recover the original pseudo-random sequence
> (for
> > example, one based on linear
> > <http://en.wikipedia.org/wiki/Linear_congruence_theorem>  congruence) -
> even
> > if a many passes are performed.
> >
> > With a true random number generator, only one pass is needed.
> >
> > I'm sure hardware random number generators based on quantum effects,
which
> > have been around for decades, would be used instead of hitting a web
site,

> > which compromises the who shebang.
> >
> >  
> >
> > Robert Howard
> >
> > Phoenix, Arizona
> >
> >  
> >
> >  
> >
> >  
> >
> > -----Original Message-----
> > From: friam-bounces at redfish.com [mailto:friam-bounces at redfish.com] On
> Behalf
> > Of Roger Frye
> > Sent: Sunday, July 22, 2007 6:40 AM
> > To: The Friday Morning Applied Complexity Coffee Group
> > Subject: Re: [FRIAM] Why "true" random?
> >
> >  
> >
> > I would argue the opposite.  While I agree with Doug that you need good

> >
> > RNGs (though not necessarily true RNGs) in order to avoid bias, the  
> >
> > problem with good pseudo- or true- RNGs is that they have order N^2  
> >
> > convergence for Monte Carlo simulations.  Quasi-random number
generators  
> >
> > on the other hand (such as multiples of an irrational square root, or a

> >
> > Peano tiling) converge in order N.  If you can trust the results,
faster  

> >
> > conergence lets you simulate more.
> >
> > -Roger
> >
> >  
> >
> > On Sat, 21 Jul 2007 23:18:36 -0600, Douglas Roberts
> <doug at parrot-farm.net>  
> >
> > wrote:
> >
> >  
> >
> > > Simulations of stochastic processes also require good RN generators,
> >
> > > especially for simulations of large systems with (I hate to use this  
> >
> > > word)
> >
> > > emergent behavioral properties.  A bad RN generator will introduce  
> >
> > > emergent
> >
> > > behavior that will be "flavored" by a bad random sequences.
> >
> > >
> >
> > >
> >
> >  
> >
> >  
> >
> >  
> >
> > ============================================================
> >
> > FRIAM Applied Complexity Group listserv
> >
> > Meets Fridays 9a-11:30 at cafe at St. John's College
> >
> > lectures, archives, unsubscribe, maps at http://www.friam.org
> >
> >  
> >
> > -------------- next part --------------
> > An HTML attachment was scrubbed...
> > URL:
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070722/00236589

> /attachment-0001.html
> >
> > ------------------------------
> >
> > Message: 2
> > Date: Sat, 21 Jul 2007 23:39:58 +1000
> > From: Russell Standish <r.standish at unsw.edu.au>
> > Subject: Re: [FRIAM] Why "true" random?
> > To: The Friday Morning Applied Complexity Coffee Group
> > <friam at redfish.com>
> > Message-ID: <20070721133957.GH845 at hells-dell.localdomain>
> > Content-Type: text/plain; charset=us-ascii
> >
> > On Sun, Jul 22, 2007 at 01:52:35PM -0700, Robert Howard wrote:
> > > How about deleting confidential data from hard disks!
> > >
> > > The solution today is to overwrite it many times with random data.
> > >
> > > But modern mathematics and technology makes it possible to recover the
> much
> > > of the original text given the original random sequence used to delete
> the
> > > data. Given a long sequence of deleted white space (or zeros on the
> disk),
> > > then it becomes possible to recover the original pseudo-random
sequence
> (for
> > > example, one based on linear
> > > <http://en.wikipedia.org/wiki/Linear_congruence_theorem>  congruence)
-

> even
> > > if a many passes are performed.
> > >
> > > With a true random number generator, only one pass is needed.
> > >
> > > I'm sure hardware random number generators based on quantum effects,
> which
> > > have been around for decades, would be used instead of hitting a web
> site,
> > > which compromises the who shebang.
> > >
> > >  
> > >
> > > Robert Howard
> > >
> > > Phoenix, Arizona
> > >
> > >  
> >
> > You don't even need to do that. Entropic sources are available from
> > considering timings on a system undergoing interrupts from external
> > sources (eg mouse or keyboard activity). The Linux kernel performs
> > this analysis and provides a conveniently encapsulated device called
> > /dev/random. I used used precisely this technique to implement a disk
> > erasing program a couple of years ago - and offered the possibility
> > to do it multiple times for the absolutely paranoid.
> >
> > Note that /dev/random has rather unpredictable performance - you are
> > advised to shake you mouse, or something like that when generating a
> > seed for ssh for instance. To improve its performance, you use the
> > output of /dev/random to fill a table, which is continually
> > overwritten as new random bits become available, Then you use a
> > conventional pseudo RNG to index into the table, so the resulting
> > bitstream has small chunks of "correlated" numbers, but is by and
> > large unpredictable.
> >
> > The state of the art for doing this is a library called Havege. Look
> > it up if you're interested.
> >
> > Cheers
> >
> > --
> >
> >
>
----------------------------------------------------------------------------
> > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > Mathematics                        
> > UNSW SYDNEY 2052                 hpcoder at hpcoders.com.au
> > Australia                                http://www.hpcoders.com.au
> >
>
----------------------------------------------------------------------------

> >
> >
> >
> > ------------------------------
> >
> > Message: 3
> > Date: Sun, 22 Jul 2007 18:12:58 -0600
> > From: "Nicholas Thompson" <nickthompson at earthlink.net>
> > Subject: [FRIAM] DISREGARD: math and the mother church
> > To: friam at redfish.com
> > Message-ID: <380-22007712301258314 at earthlink.net>
> > Content-Type: text/plain; charset="us-ascii"
> >
> > SORRY, i  SENT THIS OFF BEFORE IT WAS DONE!  THIS VERSION IS COMPLETE
> >
> > Dear Friamers -- or Fry-Aimers, however it is that we are pronounced.
> >
> > Ever since I first got to santa fe four years ago,  the pot has been
> burbling here concerning what can and cannot be done with mathematics that
> can or cannot be done with computation.  Some have taken the position
that

> some complex processes -- or aspects of complex processes ---  can only be
> understood through computational models while others -- or other aspects
> --- can only be understoud through maths.  I apologize to all for my
> starting of the isargument in about three different places in the last
> week, but I have finally decided that the FRIAM list, being the most
> comprehensive list, is the best place for it.  
> >
> > What I THOUGHT I understood about this argument was that it was about
> inference tickets.  All deductive arguments give you inference tickets to
> travel from the premises to the conclusions.  How you get to the premises
> is your own business.  Mathematical arguments are deduductive.  They tell
> you that if you can manage to get from Boston to Albany, you can  get a
> train to Chicago.
> >
> >          In order to get a better idea of what it meant to be
> mathematically "on a train to Chicago",  I decided to read a book for
> english majors on calculus recommended to me by Mike Agar.  I guess I
> thought this would be helpful because if ever there were some powerful
> inference tickets lying about,  they would be in the calculus, no?  And I
> thought that if I understood, how mathematicians argue for the calculus, I
> would understand, perhaps, how they argue.
> >
> > So, here is my present understanding of the mathematician's argument for
> the mean value theorem.  What I dont understand is why it takes three
pages
> of algebra to get there!
> >
> > Let us amagine that ab is a bit of a line.  It could be straight, and
the
> argument would still hold, but let us imagine that it is curved.... curved
> up, curved down, it does not matter.  Let's imagine that is an inverted U,
> except that it doesnt have to be a straight up and down inverted U.  In
> fact, it can be sitting so that somebody wobbled it so that it is, at the
> instant of being photographed, standing on one leg, about 30 degrees from
> the verticle.  .  
> >
> > What does matter is that the line be continuous ALL THE WAY FROM a to
B.
> No gaps,  not steps.  Imagine that no matter how small the steps you are
> taking, you can walk along the points of the line from a to b and not get
> your feet wet, NOT AT ALL -- if of course your shoe size is small enough.

> >
> > Now draw a line that connects the bottom of the two legs of the inverted
> U.  As we just said, that line will move off to the right, from a through
b
> and beyond,  at about a thirty degree angle from the horizontal.   Thus
the
> mean slope of the tilted inverted U is 30 degrees, right?
> >
> > Here is what that means, as I understand it. Every point on the tilted
> inverted U has a "slope", the slope of the line that is just tangent to
the
> U at that point.  Near point "a" that slope is VERY positive;  near point
> "b", that slope is very negative.  Now, imagine  you set out to walk along
> the curve from "a" to "b".  If you take tiny enough steps, you MUST step
on
> the point where the slope is the same as the mean slope.   That is what
the

> mean value theorem says.  
> >
> > But I just got there without any of the algebra usually devoted to that
> proof.  So the question is,  what is the VALUE of the algebra.  If one can
> estab lish the truth of such an important MATHEMATICAL theorem in other
> than mathematical means, what is the value of the maths?  
> >
> > I promise I am not MERELY trying to be a horses ass, here.  
> >
> > Nick
> >
> >
> >
> >
> >
> >
> >
> >  
> >
> >  
> >
> >  
> >
> > .  
> >
> >
> >
> >
> > Nicholas S. Thompson
> > Research Associate, Redfish Group, Santa Fe, NM (nick at redfish.com)
> > Professor of Psychology and Ethology, Clark University
> (nthompson at clarku.edu)
> > -------------- next part --------------
> > An HTML attachment was scrubbed...
> > URL:
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070722/43a40c22

> /attachment-0001.html
> >
> > ------------------------------
> >
> > Message: 4
> > Date: Sun, 22 Jul 2007 20:28:48 -0400
> > From: "James Steiner" <gregortroll at gmail.com>
> > Subject: Re: [FRIAM] Why "true" random?
> > To: "The Friday Morning Applied Complexity Coffee Group"
> > <friam at redfish.com>
> > Message-ID:
> > <5ec674320707221728u77b5b0e7y1405f2ceafa67c80 at mail.gmail.com>
> > Content-Type: text/plain; charset=WINDOWS-1252; format=flowed
> >
> > Robert,
> >
> > It's my understanding that there has been no documented case of data
> > recovered from a hard disk that has been erased by completely
> > overwriting the contents 3 or more times with your choice of 0s, 1s,
> > alternating bits, random bits, or whatever, outside of a lab
> > environment using magnetic electron microscopy. Is that no longer
> > true?  I had thought that one didn't need a particularly good RNG for
> > it, since anything will do. Or, is that just what the NSA *wants* me
> > to think?
> >
> > ~~James
> > _____________________
> > http://www.turtlezero.com
> >
> >
> > On 7/22/07, Robert Howard <rob at symmetricobjects.com> wrote:
> > > How about deleting confidential data from hard disks!
> > >
> > > The solution today is to overwrite it many times with random data.
> > >
> > > But modern mathematics and technology makes it possible to recover the
> much
> > > of the original text given the original random sequence used to delete
> the
> > > data. Given a long sequence of deleted white space (or zeros on the
> disk),
> > > then it becomes possible to recover the original pseudo-random
sequence

> (for
> > > example, one based on linear congruence) ? even if a many passes are
> > > performed.
> > >
> > > With a true random number generator, only one pass is needed.
> > >
> > > I'm sure hardware random number generators based on quantum effects,
> which
> > > have been around for decades, would be used instead of hitting a web
> site,
> > > which compromises the who shebang.
> > >
> > >
> > >
> > > Robert Howard
> > >
> > > Phoenix, Arizona
> >
> >
> >
> > ------------------------------
> >
> > Message: 5
> > Date: Sun, 22 Jul 2007 01:42:01 +1000
> > From: Russell Standish <r.standish at unsw.edu.au>
> > Subject: Re: [FRIAM] DISREGARD: math and the mother church
> > To: nickthompson at earthlink.net, The Friday Morning Applied Complexity
> > Coffee Group <friam at redfish.com>
> > Message-ID: <20070721154201.GJ845 at hells-dell.localdomain>
> > Content-Type: text/plain; charset=us-ascii
> >
> > On Sun, Jul 22, 2007 at 06:12:58PM -0600, Nicholas Thompson wrote:
> > >
> > > So, here is my present understanding of the mathematician's argument
> for the mean value theorem.  What I dont understand is why it takes three
> pages of algebra to get there!
> >
> > I don't know where you get the 3 pages from. My analysis book does it
> > 2 paragraphs of algebra, half a page at most. (That's including all
> > the necessary lemmas and definitions).
> >
> > >
> > > Let us amagine that ab is a bit of a line.  It could be straight, and
> the argument would still hold, but let us imagine that it is curved....
> curved up, curved down, it does not matter.  Let's imagine that is an
> inverted U, except that it doesnt have to be a straight up and down
> inverted U.  In fact, it can be sitting so that somebody wobbled it so
that

> it is, at the instant of being photographed, standing on one leg, about 30
> degrees from the verticle.  .  
> > >
> > > What does matter is that the line be continuous ALL THE WAY FROM a to
> B.  No gaps,  not steps.  Imagine that no matter how small the steps you
> are taking, you can walk along the points of the line from a to b and not
> get your feet wet, NOT AT ALL -- if of course your shoe size is small
> enough.  
> > >
> > > Now draw a line that connects the bottom of the two legs of the
> inverted U.  As we just said, that line will move off to the right, from a
> through b and beyond,  at about a thirty degree angle from the
horizontal.
> Thus the mean slope of the tilted inverted U is 30 degrees, right?
> > >
> > > Here is what that means, as I understand it. Every point on the tilted
> inverted U has a "slope", the slope of the line that is just tangent to
the
> U at that point.  Near point "a" that slope is VERY positive;  near point
> "b", that slope is very negative.  Now, imagine  you set out to walk along
> the curve from "a" to "b".  If you take tiny enough steps, you MUST step
on
> the point where the slope is the same as the mean slope.   That is what
the
> mean value theorem says.  
> > >
> > > But I just got there without any of the algebra usually devoted to
that

> proof.  So the question is,  what is the VALUE of the algebra.  If one can
> estab lish the truth of such an important MATHEMATICAL theorem in other
> than mathematical means, what is the value of the maths?  
> > >
> >
> > What you have given is the "handwaving" version of the proof. The
> > trouble is that human imagination can easily get us into trouble when
> > dealing with infinities, which is necessarily involved in dealing with
> > the concept of continuity. In the above example, you mention that
> > continuity is important, but say nothing about differentiability. Are
> > you aware that continuous curves that are nowhere differentiable
> > exist? I fact most continuous curves are not differentiable. By most,
> > I mean infinitely more continuous curves are not differentiable than
> > those that are, a concept handled by "sets of measure zero".
> >
> > To give an example, consider your interval joined by two line segments
> > so as to form a single kink in the middle at point c:
> >
> > At all points on the interior, except for the c, the slope is either
> > s1 = (f(c)-f(a))/(c-a) or s2=(f(b)-f(c))/(b-c). At c, the slope is
> > undefined. But neither s1 nor s2 = (f(b)-f(a))/(b-1), so the mean
> > value theorem fails.
> >
> > > I promise I am not MERELY trying to be a horses ass, here.  
> > >
> > > Nick
> > >
> > >
> >
> > Handwaving arguments are good for developing intuition. Great for
> > teaching during a lecture, and get the students to study the rigorous
> > proof later. Similarly, they're good for scientific seminars, but not
> > scientific papers.
> >
> > Cheers
> >
> > >
> > >
> > >
> > >
> > >
> > >  
> > >
> > >  
> > >
> > >  
> > >
> > > .  
> > >
> > >
> > >
> > >
> > > Nicholas S. Thompson
> > > Research Associate, Redfish Group, Santa Fe, NM (nick at redfish.com)
> > > Professor of Psychology and Ethology, Clark University
> (nthompson at clarku.edu)
> > > ============================================================
> > > FRIAM Applied Complexity Group listserv
> > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > lectures, archives, unsubscribe, maps at http://www.friam.org
> >
> > --
> >
> >
>
----------------------------------------------------------------------------
> > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > Mathematics                        
> > UNSW SYDNEY 2052                 hpcoder at hpcoders.com.au
> > Australia                                http://www.hpcoders.com.au
> >
>
----------------------------------------------------------------------------

> >
> >
> >
> > ------------------------------
> >
> > Message: 6
> > Date: Sun, 22 Jul 2007 21:24:34 EDT
> > From: PPARYSKI at aol.com
> > Subject: Re: [FRIAM] Criminalizing Peace
> > To: friam at redfish.com
> > Message-ID: <cbc.15ce6164.33d55d52 at aol.com>
> > Content-Type: text/plain; charset="us-ascii"
> >
> > I received this from Frank Wimberly and think it deserves distribution
> and  
> > reaction.  Bush's executive order is appalling and frightening even more
> so  
> > because the media have not adequately reported it or reacted. Perhaps we
> could  
> > apply a RNG to Bush and Cheney?  cheers (?) Paul
> >
> >
> >
> > ************************************** Get a sneak peek of the all-new
> AOL at
> > http://discover.aol.com/memed/aolcom30tour
> > -------------- next part --------------
> > An HTML attachment was scrubbed...
> > URL:
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070722/d55cff17

> /attachment-0001.html
> >
> > ------------------------------
> >
> > Message: 7
> > Date: Sun, 22 Jul 2007 19:38:41 -0600
> > From: steve smith <sasmyth at swcp.com>
> > Subject: Re: [FRIAM] Despite the Web, Americans Remain Woefully
> > Ill-Informed
> > To: The Friday Morning Applied Complexity Coffee Group
> > <friam at redfish.com>
> > Message-ID: <4a8d243665c9e2bd940e3b5a5717081b at swcp.com>
> > Content-Type: text/plain; charset=US-ASCII; format=flowed
> >
> > I am disturbed by the non-sequitur inherent in the Subject and Body of
> > this article:   It suggests that the Web inherently *should* make
> > Americans more well informed.
> >
> > 3  points:
> >
> > 1) I agree that these are not particularly important questions in their
> > own right, but they *are* hugely  significant indicators of how
> > uninformed the folks who were "studied" are on this type  of details,
> > and I agree with Owen that is scary that "anyone ALIVE in the US ...
> > cannot answer these".
> >
> > 2) The internet, in my opinion, is still mainly a reference source...  
> > Somewhere between a dictionary or encyclopedia and a newspaper or
> > magazine subscription.
> >
> > If people aren't interested in these kinds of facts, they won't look
> > them up and they won't "subscribe" (e-mail lists, blogs, podcasts,
> > news/information web sites) to sources that provide them.   Like the
> > folks I grew up around whose only reading material was their
> > subscription to GRIT or Nat'l Enquirer.
> >
> > 3) If there is a correlation, perhaps it is a negative one... the ratio
> > of "important" (by some measure) factoids to the "unimportant" (by any
> > measure) has plummeted, no?
> >
> > Even TV (with 182 channels) in it's "ubiquity" has aggravated this.  
> > At 5 or 6 PM and 10 PM each night in my youth, *any* television running
> > would be showing news... mediated by a local station such that anyone
> > within earhshot would hear their Gov's name as well as the VP's and
> > some of the other facts in question fairly frequently.   Today
> > specialized channels like ESPN, MTV, TBS, HBO, Science, Discovery, even
> > CNN (and all of their competitors/wannabes) mean that you can run your
> > TV night and day and never hear most of these things (even with CNN you
> > won't hear your Gov's name often unless he's a bombast like our own).
> >
> > At the newsstand there are hundreds of magazines where there were once
> > tens.   Geeks like us maybe all read Byte and now Wired (haven't had a
> > subscription in a decade myself) and maybe Nature/Science/SciAm  and
> > maybe Fashionistas all read Cosmo (or whatever is equivalent) but the
> > competition for eyeballs (and ears) is fierce... and a lot that is
> > being offered up is overly refined (like white sugar, flour,
> > corn-syrup, textured-vegetable-protein, etc.) to do more than satisfy
> > (seduce) the most immediate of appetites.
> >
> >
> > Owen said:
> > I sorta have to agree: Just how IMPORTANT are any of these questions?
> > >
> > >> The five questions:
> > >> Who is the vice president?
> > >> Who is your state's governor?
> > >> Does the US have a trade deficit or surplus?
> > >> Which party controls the House of Representatives?
> > >> Is the chief justice of the Supreme Court a liberal, moderate, or
> > >> conservative?
> > >
> > > If you were to be able to ask 5 questions that you would LIKE folks
> > > to know the answer to, would any of these be on it?  I think only
> > > one .. the trade deficit.
> > >
> > > But, man, its scary to know that there's anyone ALIVE in the US who
> > > cannot answer these.
> > >
> >
> >
> >
> >
> > ------------------------------
> >
> > Message: 8
> > Date: Sun, 22 Jul 2007 21:47:55 EDT
> > From: PPARYSKI at aol.com
> > Subject: Re: [FRIAM] Why "true" random?
> > To: friam at redfish.com
> > Message-ID: <cbc.15ceae22.33d562cb at aol.com>
> > Content-Type: text/plain; charset="us-ascii"
> >
> > Logically is true, perfect randomness possible since it is being
> generated
> > by a program designed by a human with a purpose - a thought  construct?
> On one
> > level is anything in the universe truly random?  
> >
> > Paul Paryski
> >
> >
> >
> > ************************************** Get a sneak peek of the all-new
> AOL at
> > http://discover.aol.com/memed/aolcom30tour
> > -------------- next part --------------
> > An HTML attachment was scrubbed...
> > URL:
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070722/4920991a

> /attachment-0001.html
> >
> > ------------------------------
> >
> > Message: 9
> > Date: Sun, 22 Jul 2007 21:52:45 EDT
> > From: PPARYSKI at aol.com
> > Subject: Re: [FRIAM] Criminalizing Peace
> > To: friam at redfish.com
> > Message-ID: <c02.1b339022.33d563ed at aol.com>
> > Content-Type: text/plain; charset="us-ascii"
> >
> > Somehow the fwd about Bush's exec order didn't work, so I have copied
the

>
> > text below.  Paul Paryski
> >  
> >      
> >  
> > While the American public...and the  world...was being diverted by news
> > stories of Dubya's  colonoscopy  scheduled for today, this, his latest
> executive
> > order,  was signed July 17,  2007...  However, blogs, blogging comments
> have  
> > been numerous...see a  sampling below.
> >  
> >
> >  
> > Bush Executive Order:  Criminalizing the Antiwar  Movement
> >  
> > By Prof. Michel  Chossudovsky
> >  
> > July 20,  2007
> >  
> > The  Executive Order entitled "Blocking Property of Certain Persons Who

> > Threaten Stabilization Efforts in Iraq" provides the President with the
> authority
> > to confiscate the assets of whoever opposes the US led  war.  
> > A presidential Executive  Order issued on July 17th, repeals with the
> stroke
> > of a pen  the right to dissent  and to oppose the Pentagon's military
> agenda
> > in Iraq.  
> > The Executive Order entitled  "Blocking Property of Certain Persons
Who
> > Threaten Stabilization Efforts in Iraq" provides the President  with the
> authority
> > to confiscate the assets of  "certain persons" who  oppose the US led
war
> in
> > Iraq:
> > "I have issued an Executive Order  blocking property of persons
> determined to
> > have committed, or to pose a  significant risk of committing, an act or
> acts
> > of violence that have the  purpose or effect of threatening the peace
or

> > stability of Iraq or the  Government of Iraq or undermining efforts to
> promote
> > economic  reconstruction and political reform in Iraq or to provide
> humanitarian  
> > assistance to the Iraqi  people."
> > In substance, under this executive  order, opposing the war becomes an
> > illegal act.  
> >
> > The  Executive Order criminalizes the antiwar movement. It is intended
> to  
> > "blocking property" of  US citizens and organizations  actively involved
> in the
> > peace movement. It allows the Department of  Defense to interfere in
> > financial affairs and instruct the  Treasury to "block the property"
> and/or
> > confiscate/ freeze the assets  of "Certain Persons" involved in antiwar
> activities. It
> > targets those  "Certain Persons" in America, including civil society  
> > organizatioins, who oppose the Bush Administration's "peace and
> stability"  program in
> > Iraq, characterized, in plain  English, by an illegal occupation and
the

> > continued killing of innocent  civilians.  
> > The Executive Order also targets  those "Certain Persons" who are
> > "undermining efforts to promote economic  reconstruction", or who, again
> in plain
> > English, are opposed to the  confiscation and privatization of  Iraq's
> oil resources,
> > on behalf of  the Anglo-American oil  giants.  
> >
> >
> >
> > The order is also intended for anybody who  opposes Bush's program of  
> > "political reform  in Iraq", in other words, who  questions the
> legitimacy of an
> > Iraqi "government" installed by the  occupation forces.  
> > Moreover, those persons or  nongovernmental organizations (NGOs), who
> provide
> > bona fide humanitarian  aid to Iraqi civilians, and who are not approved
> by
> > the US Military or its  lackeys in the US sponsored Iraqi puppet
> government are
> > also liable to  have their financial assets  confiscated.    
> > The executive order violates the  First, Fourth and Fifth Amendments of
> the
> > US Constitution. It repeals one  of the fundamental tenets of  US
> democracy,
> > which is the  right to free expression and dissent. The order has not
> been the
> > object of  discussion in the US Congress. Sofar, it has not been
> addressed   by
> > the US antiwar movement, in  terms of a formal statement.
> >
> > Apart from a bland Associated Press  wire report, which presents the
> > executive order as "an authority to use  financial sanctions", there has
> been no media
> > coverage or commentary of a  presidential decision which strikes at the
> heart
> > of the  US Constitution..  
> > Broader  implications  
> > The criminalization of the State is  when the sitting President and
Vice
> > President use and  abuse their authority through executive orders,
> presidential  
> > directives or otherwise  to define "who are the criminals" when in  fact
> they
> > they are the criminals.  
> >
> > This latest executive  order criminalizes the peace movement. It must
be
> > viewed in relation  to various pieces of "anti-terrorist" legislation,
> the gamut
> > of  presidential and national security directives, etc., which are
> ultimately  
> > geared towards repealing constitutional government and installing
martial

> law
> > in the event of a "national  emergency"...
> > Excerpted from:
> _http://www.globalresearch.ca/index.php?context=va&aid=6377_
> > (http://www.globalresearch.ca/index.php?context=va&aid=6377)  
> > Text of the Executive Order:
> > _http://www.whitehouse.gov/news/releases/2007/07/20070717-3.html_
> > (http://www.whitehouse.gov/news/releases/2007/07/20070717-3.html)  
> > Message  to the Congress of the United States Regarding  International
> > Emergency Economic Powers Act _ht
> > tp://www.whitehouse.gov/news/releases/2007/07/20070717-4.html_
> (http://www.whitehouse.gov/news/releases/2007/07/20070717-4.html)  
> >  
> >
>
----------------------------------------------------------------------------
> --
> > -----
> > Bloggers are  alert...    
> >
>
From:_http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the
> _P
> > rez_can_take_your_stuff_
> >
>
(http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the_Prez
> _can_take_your_stuff)
> >  
> >  
> > +357  diggs
> >  by _ajkxxx_ (http://digg.com/users/ajkxxx)  on _07/19/2007_
> >
>
(http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the_Prez
> _can_take_your_stuf
> > f?t=7903154#c7903154)  
> >  
> >  
> > I'm  worried that no newspapers have picked up on this story. This is
the
> > White House  Website.
> > This is getting scary.
> >  
> > _Hide 7  replies to this comment (most popular has 21  diggs)_
> >
>
(http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the_Prez

> _can_take_your_st
> > uff)
> >
> >  
> >  
> >  
> >     *   +21 diggs
> >
> >  by _massivity_ (http://digg.com/users/massivity)  on _07/19/2007_
> >
>
(http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the_Prez
> _can_take_you
> > r_stuff?t=7903154#c7905530)
> >  
> >  
> > Seriously.  WHY is this not front page news?
> >  
> > _View 3 replies to this comment (most popular has 18  diggs)_
> >
>
(http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the_Prez

> _can_take_your_stu
> > ff)
> >
> >  
> >  
> >     *   +3 diggs
> >
> >  by _ronaldinho_ (http://digg.com/users/ronaldinho)  on _07/19/2007_
> >
>
(http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the_Prez
> _can_take_y
> > our_stuff?t=7903154#c7907218)
> >  
> >  
> > it is  on Digg, but you know the mainstream media (aside from Jon
Stewart
> and
> > Stephen  Colbert) are controlled by Bush
> >  
> > _View 2 replies to this comment (most popular has 3  diggs)_
> >
>
(http://digg.com/politics/So_as_of_yesterday_If_you_protest_the_war_the_Prez

> _can_take_your_stuf
> > f)
> >
> >
> >
> >
> >
> >
> >
> >
> > ************************************** Get a sneak peek of the all-new
> AOL at
> > http://discover.aol.com/memed/aolcom30tour
> > -------------- next part --------------
> > An HTML attachment was scrubbed...
> > URL:
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070722/ba319808

> /attachment-0001.html
> >
> > ------------------------------
> >
> > Message: 10
> > Date: Sun, 22 Jul 2007 21:59:32 -0600
> > From: "Nicholas Thompson" <nickthompson at earthlink.net>
> > Subject: Re: [FRIAM] DISREGARD: math and the mother church
> > To: "Russell Standish" <r.standish at unsw.edu.au>
> > Cc: friam <friam at redfish.com>
> > Message-ID: <380-22007712335932432 at earthlink.net>
> > Content-Type: text/plain; charset=US-ASCII
> >
> > Russell,
> >
> > Remember, mine was a book for English Majors,  Berlinski's Tour of the
> > Calculus.  
> >
> > But thou quibblest! Dothn't thou? Why is the algebra necessary at all.
> > Doesnt the mean value theorem fall out of the definition of a mean and
the
> > definition of continuity?  Full stop.  Granting only that the mean falls
> > between (or is one of) the extremes?  
> >
> > Nick
> >
> > PS.  I apologize for my message garblement.  In fact I had NOT sent an
> > incomplete message.  So the message saying "disregard the message" was
the

> > only message.   "This is not a pipe."
> >
> > Nick
> >
> >
> >
> >
> > > [Original Message]
> > > From: Russell Standish <r.standish at unsw.edu.au>
> > > To: <nickthompson at earthlink.net>; The Friday Morning Applied
Complexity
> > Coffee Group <friam at redfish.com>
> > > Date: 7/22/2007 7:04:29 PM
> > > Subject: Re: [FRIAM] DISREGARD: math and the mother church
> > >
> > > On Sun, Jul 22, 2007 at 06:12:58PM -0600, Nicholas Thompson wrote:
> > > >
> > > > So, here is my present understanding of the mathematician's argument
> > for the mean value theorem.  What I dont understand is why it takes
three
> > pages of algebra to get there!
> > >
> > > I don't know where you get the 3 pages from. My analysis book does it
> > > 2 paragraphs of algebra, half a page at most. (That's including all
> > > the necessary lemmas and definitions).
> > >
> > > >
> > > > Let us amagine that ab is a bit of a line.  It could be straight,
and
> > the argument would still hold, but let us imagine that it is curved....
> > curved up, curved down, it does not matter.  Let's imagine that is an
> > inverted U, except that it doesnt have to be a straight up and down
> > inverted U.  In fact, it can be sitting so that somebody wobbled it so
> that
> > it is, at the instant of being photographed, standing on one leg, about
30
> > degrees from the verticle.  .  
> > > >
> > > > What does matter is that the line be continuous ALL THE WAY FROM a
to
> > B.  No gaps,  not steps.  Imagine that no matter how small the steps you
> > are taking, you can walk along the points of the line from a to b and
not
> > get your feet wet, NOT AT ALL -- if of course your shoe size is small
> > enough.  
> > > >
> > > > Now draw a line that connects the bottom of the two legs of the
> > inverted U.  As we just said, that line will move off to the right,
from a
> > through b and beyond,  at about a thirty degree angle from the
> horizontal.
> > Thus the mean slope of the tilted inverted U is 30 degrees, right?
> > > >
> > > > Here is what that means, as I understand it. Every point on the
tilted
> > inverted U has a "slope", the slope of the line that is just tangent to
> the
> > U at that point.  Near point "a" that slope is VERY positive;  near
point
> > "b", that slope is very negative.  Now, imagine  you set out to walk
along
> > the curve from "a" to "b".  If you take tiny enough steps, you MUST step
> on
> > the point where the slope is the same as the mean slope.   That is what
> the
> > mean value theorem says.  
> > > >
> > > > But I just got there without any of the algebra usually devoted to
> that
> > proof.  So the question is,  what is the VALUE of the algebra.  If one
can

> > estab lish the truth of such an important MATHEMATICAL theorem in other
> > than mathematical means, what is the value of the maths?  
> > > >
> > >
> > > What you have given is the "handwaving" version of the proof. The
> > > trouble is that human imagination can easily get us into trouble when
> > > dealing with infinities, which is necessarily involved in dealing with
> > > the concept of continuity. In the above example, you mention that
> > > continuity is important, but say nothing about differentiability. Are
> > > you aware that continuous curves that are nowhere differentiable
> > > exist? I fact most continuous curves are not differentiable. By most,
> > > I mean infinitely more continuous curves are not differentiable than
> > > those that are, a concept handled by "sets of measure zero".
> > >
> > > To give an example, consider your interval joined by two line segments
> > > so as to form a single kink in the middle at point c:
> > >
> > > At all points on the interior, except for the c, the slope is either
> > > s1 = (f(c)-f(a))/(c-a) or s2=(f(b)-f(c))/(b-c). At c, the slope is
> > > undefined. But neither s1 nor s2 = (f(b)-f(a))/(b-1), so the mean
> > > value theorem fails.
> > >
> > > > I promise I am not MERELY trying to be a horses ass, here.  
> > > >
> > > > Nick
> > > >
> > > >
> > >
> > > Handwaving arguments are good for developing intuition. Great for
> > > teaching during a lecture, and get the students to study the rigorous
> > > proof later. Similarly, they're good for scientific seminars, but not
> > > scientific papers.
> > >
> > > Cheers
> > >
> > > >
> > > >
> > > >
> > > >
> > > >
> > > >  
> > > >
> > > >  
> > > >
> > > >  
> > > >
> > > > .  
> > > >
> > > >
> > > >
> > > >
> > > > Nicholas S. Thompson
> > > > Research Associate, Redfish Group, Santa Fe, NM (nick at redfish.com)
> > > > Professor of Psychology and Ethology, Clark University
> > (nthompson at clarku.edu)
> > > > ============================================================
> > > > FRIAM Applied Complexity Group listserv
> > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > >
> > > --
> > >
> > >
> >
>
----------------------------------------------------------------------------
> > > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > > Mathematics                        
> > > UNSW SYDNEY 2052                 hpcoder at hpcoders.com.au
> > > Australia                                http://www.hpcoders.com.au
> > >
> >
>
----------------------------------------------------------------------------

> >
> >
> >
> >
> >
> > ------------------------------
> >
> > Message: 11
> > Date: Sun, 22 Jul 2007 22:22:30 -0600
> > From: "Roger Critchlow" <rec at elf.org>
> > Subject: Re: [FRIAM] Despite the Web, Americans Remain Woefully
> > Ill-Informed
> > To: "The Friday Morning Applied Complexity Coffee Group"
> > <friam at redfish.com>
> > Message-ID:
> > <66d1c98f0707222122l7d4160f3p8576dfda03362d89 at mail.gmail.com>
> > Content-Type: text/plain; charset="iso-8859-1"
> >
> > On 7/22/07, steve smith <sasmyth at swcp.com> wrote:
> > >
> > > I am disturbed by the non-sequitur inherent in the Subject and Body of
> > > this article:   It suggests that the Web inherently *should* make
> > > Americans more well informed.
> >
> >
> > Myself, I'm getting a little tired of the pop quizzes demonstrating one
> kind
> > of ignorance or another.
> >
> > Given any population, there exists some set of questions which they will
> get
> > mostly wrong, and another set they will get mostly right.  So what?
> >
> > Ability to regurgitate facts on demand measures what?  Ability to think?
> > No.  Ability to research?  No.  Ability to make good decisions?  No.
> > Ability to ask good questions?  No.  Ability to understand answers?  No.
> >
> > If you want people to look smart, ask questions they know the answer
to.
> If
> > you want them to look stupid, ask other questions.  In either case,
> > establish that the questions asked are the ones the people should know
by
> > hand waving, because there is no authority for the questions people
should
> > be able to answer.
> >
> > -- rec --
> > -------------- next part --------------
> > An HTML attachment was scrubbed...
> > URL:
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070722/b6d1920a

> /attachment-0001.html
> >
> > ------------------------------
> >
> > Message: 12
> > Date: Sun, 22 Jul 2007 22:55:41 -0600
> > From: "Marcus G. Daniels" <marcus at snoutfarm.com>
> > Subject: Re: [FRIAM] Despite the Web, Americans Remain Woefully
> > Ill-Informed
> > To: The Friday Morning Applied Complexity Coffee Group
> > <friam at redfish.com>
> > Message-ID: <46A434CD.5040101 at snoutfarm.com>
> > Content-Type: text/plain; charset=ISO-8859-1; format=flowed
> >
> > steve smith wrote:
> > > 2) The internet, in my opinion, is still mainly a reference source...

> > > Somewhere between a dictionary or encyclopedia and a newspaper or
> > > magazine subscription.
> > >
> > > If people aren't interested in these kinds of facts, they won't look
> > > them up and they won't "subscribe" (e-mail lists, blogs, podcasts,
> > > news/information web sites) to sources that provide them.  
> > With more kinds of appealing facts accessible (ranging from gossip
blogs
> > to online academic journals),  and assuming fixed available attention
by

> > individuals, then we should expect per-individual knowledge of any
> > particular topic to be reduced...
> >
> >
> >
> >
> > ------------------------------
> >
> > Message: 13
> > Date: Sun, 22 Jul 2007 23:48:08 -0600
> > From: "Peter Lissaman" <plissaman at earthlink.net>
> > Subject: [FRIAM] It's the Spies, Stupid!
> > To: friam at redfish.com
> > Message-ID: <380-2200771235488891 at earthlink.net>
> > Content-Type: text/plain; charset=US-ASCII
> >
> > Thanks to all who responded in much more courteous terms than my present
> > title!  A'course, it reminded me and well should I have remembered!  But
> > "old men forget" as da Bard had it (Lear).  My old tutor (thesis advisor
> in
> > these parts, (one S.W., for those in the know )) was one of the
"Bletchley
> > Boys" who cracked Enigma in WW II.  And, as a math grad student, I well
> > remember more than 1/2 century ago hearing his tales as we looked out
over
> > the rainy rooftops of Cambridge!  A'course, the Enigma Machine was
> entirely
> > deterministic, mechanical, but verrray complicated. Wheels within
> wheels!!
> > New setting each morning!  I can imagine some totally bored Wehrmacht
> > Feldwebel cranking away at this horizontal axis coffee grinder while he
> > slurped his ersatz Kaffee and wished he had some sugar!    The Brits
said,
> > languidly and  typically Englishly, "we usually managed to 'sort out'
the
> > day's code by tea time".  Also, being an honorable Englishman, (there
were
> > still a few left then), my tutor said very little of substance because
the

> > Official Secrets Act ran for 50 years.
> > My remarks are really meant entertain, so thanks to all for putting up
> with
> > this BS!!!
> >
> > Peter Lissaman,  Da Vinci Ventures
> >
> > Expertise is not knowing everything, but knowing what to look for.
> >
> > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > TEL: (505) 983-7728                        FAX: (505) 983-1694
> >
> >
> > > [Original Message]
> > > From: <friam-request at redfish.com>
> > > To: <friam at redfish.com>
> > > Date: 7/22/2007 10:02:51 AM
> > > Subject: Friam Digest, Vol 49, Issue 20
> > >
> > > Send Friam mailing list submissions to
> > > friam at redfish.com
> > >
> > > To subscribe or unsubscribe via the World Wide Web, visit
> > > http://redfish.com/mailman/listinfo/friam_redfish.com
> > > or, via email, send a message with subject or body 'help' to
> > > friam-request at redfish.com
> > >
> > > You can reach the person managing the list at
> > > friam-owner at redfish.com
> > >
> > > When replying, please edit your Subject line so it is more specific
> > > than "Re: Contents of Friam digest..."
> > >
> > >
> > > Today's Topics:
> > >
> > >    1. Why "true" random? (Peter Lissaman)
> > >    2. Re: Why "true" random? (Robert Holmes)
> > >    3. Re: Why "true" random? (Russell Standish)
> > >    4. Re: Why "true" random? (Prof David West)
> > >    5. Re: Why "true" random? (Phil Henshaw)
> > >    6. Re: Why "true" random? (Douglas Roberts)
> > >    7. Re: Why "true" random? (Phil Henshaw)
> > >    8. Re: Why "true" random? (Roger Frye)
> > >
> > >
> > > ----------------------------------------------------------------------
> > >
> > > Message: 1
> > > Date: Sat, 21 Jul 2007 10:24:42 -0600
> > > From: "Peter Lissaman" <plissaman at earthlink.net>
> > > Subject: [FRIAM] Why "true" random?
> > > To: friam at redfish.com
> > > Message-ID: <380-220077621162442468 at earthlink.net>
> > > Content-Type: text/plain; charset="us-ascii"
> > >
> > > Why is it important (except intellectually) to have "true"
> randomness???
> > I very well remember the early, good old, bad old, days of Aerospace, in
> > the 50's, when we were really doing practical earthshattering things --
> > like going to the moon -- sans computers!!  The RAND corporation, for
whom
> > I consulted, published a typed book (size of a Manhattan telephone
> > directory) of "random" numbers  for engineering application.  Much
> > entertainment was occasioned when, about three months later, they
> > distributed a list of "typos" to their original list of random numbers.
> > Today I use homemade random numbers alla time for real problems,
> > specifically the actual response of real flight vehicles in real
> > atmospheric turbulence.  Flight tests support  analysis, in the sense
that

> > what we predict is not obviously incorrect.  We have never found it
> > necessary to utilize any more "perfectly random" "random" sequences!
> > >
> > >
> > > Peter Lissaman, Da Vinci Ventures
> > >
> > > Expertise is not knowing everything, but knowing what to look for.
> > >
> > > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > > TEL: (505) 983-7728 FAX: (505) 983-1694
> > > -------------- next part --------------
> > > An HTML attachment was scrubbed...
> > > URL:
> >
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070721/e01d235d

> > /attachment-0001.html
> > >
> > > ------------------------------
> > >
> > > Message: 2
> > > Date: Sat, 21 Jul 2007 13:34:44 -0600
> > > From: "Robert Holmes" <robert at holmesacosta.com>
> > > Subject: Re: [FRIAM] Why "true" random?
> > > To: plissaman at earthlink.net, "The Friday Morning Applied Complexity
> > > Coffee Group" <friam at redfish.com>
> > > Message-ID:
> > > <857770150707211234h692a7989h5debe46c1b558b3d at mail.gmail.com>
> > > Content-Type: text/plain; charset="iso-8859-1"
> > >
> > > Cryptography. The required robustness of a random generator is highly
> > > sensitive to the intended application;
> > >
> > >    - Generating a "thought for the day" for your blog? Required
> > >    randomness = low.
> > >    - Response testing a missile system? Required randomness = medium
> > >    - Stealing above test results, encrypting them and transmitting
them

> > >    to Al Quaeda in a form that you hope the NSA won't understand?
> Required
> > >    randomness = high
> > >
> > > Robert
> > >
> > > On 7/21/07, Peter Lissaman <plissaman at earthlink.net> wrote:
> > > >
> > > >  Why is it important (except intellectually) to have "true"
> > randomness???
> > > > I very well remember the early, good old, bad old, days of
Aerospace,
> > in the
> > > > 50's, when we were really doing practical earthshattering things --
> like
> > > > going to the moon -- sans computers!!  The RAND corporation, for
whom
> I
> > > > consulted, published a typed book (size of a Manhattan telephone
> > directory)
> > > > of "random" numbers  for engineering application.  Much
entertainment
> > was
> > > > occasioned when, about three months later, they distributed a list
of
> > > > "typos" to their original list of random numbers.  Today I use
> homemade
> > > > random numbers alla time for real problems, specifically the actual
> > response
> > > > of real flight vehicles in real atmospheric turbulence.  Flight
tests
> > > > support  analysis, in the sense that what we predict is not
obviously

> > > > incorrect.  We have never found it necessary to utilize any more
> > "perfectly
> > > > random" "random" sequences!
> > > >
> > > >
> > > > Peter Lissaman, Da Vinci Ventures
> > > >
> > > > Expertise is not knowing everything, but knowing what to look for.
> > > >
> > > > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > > > TEL: (505) 983-7728 FAX: (505) 983-1694
> > > >
> > > >
> > > >
> > > > ============================================================
> > > > FRIAM Applied Complexity Group listserv
> > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > > >
> > > -------------- next part --------------
> > > An HTML attachment was scrubbed...
> > > URL:
> >
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070721/bd58347a

> > /attachment-0001.html
> > >
> > > ------------------------------
> > >
> > > Message: 3
> > > Date: Sat, 21 Jul 2007 14:27:33 +1000
> > > From: Russell Standish <r.standish at unsw.edu.au>
> > > Subject: Re: [FRIAM] Why "true" random?
> > > To: plissaman at earthlink.net, The Friday Morning Applied Complexity
> > > Coffee Group <friam at redfish.com>
> > > Message-ID: <20070721042733.GG845 at hells-dell.localdomain>
> > > Content-Type: text/plain; charset=us-ascii
> > >
> > > Cryptographic applications require true randomness. If your cipher
> > > used on a pseudo-random number generator, then a cracker discovering
> > > your algorithm and key has broken your code.
> > >
> > > I also have a hunch that genuine randomness is needed for open-ended
> > > evolutionary systems. Here, the evol algorithm is in the position of
> > > the code cracker, and once the code is cracked, the evol algorithm
> > > stops. I had a workshop paper on this in 2004, which has some problems
> > > with it. The concept is controversial, to say the least.
> > >
> > > Cheers
> > >
> > > On Sat, Jul 21, 2007 at 10:24:42AM -0600, Peter Lissaman wrote:
> > > > Why is it important (except intellectually) to have "true"
> > randomness???  I very well remember the early, good old, bad old, days
of

> > Aerospace, in the 50's, when we were really doing practical
> earthshattering
> > things -- like going to the moon -- sans computers!!  The RAND
> corporation,
> > for whom I consulted, published a typed book (size of a Manhattan
> telephone
> > directory) of "random" numbers  for engineering application.  Much
> > entertainment was occasioned when, about three months later, they
> > distributed a list of "typos" to their original list of random numbers.
> > Today I use homemade random numbers alla time for real problems,
> > specifically the actual response of real flight vehicles in real
> > atmospheric turbulence.  Flight tests support  analysis, in the sense
that

> > what we predict is not obviously incorrect.  We have never found it
> > necessary to utilize any more "perfectly random" "random" sequences!
> > > >
> > > >
> > > > Peter Lissaman, Da Vinci Ventures
> > > >
> > > > Expertise is not knowing everything, but knowing what to look for.
> > > >
> > > > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > > > TEL: (505) 983-7728 FAX: (505) 983-1694
> > > > ============================================================
> > > > FRIAM Applied Complexity Group listserv
> > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > >
> > > --
> > >
> > >
> >
>
----------------------------------------------------------------------------
> > > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > > Mathematics                        
> > > UNSW SYDNEY 2052                 hpcoder at hpcoders.com.au
> > > Australia                                http://www.hpcoders.com.au
> > >
> >
>
----------------------------------------------------------------------------

> > >
> > >
> > >
> > > ------------------------------
> > >
> > > Message: 4
> > > Date: Sat, 21 Jul 2007 21:55:30 -0400
> > > From: "Prof David West" <profwest at fastmail.fm>
> > > Subject: Re: [FRIAM] Why "true" random?
> > > To: "The Friday Morning Applied Complexity Coffee Group"
> > > <friam at redfish.com>
> > > Message-ID: <1185069330.26136.1201375009 at webmail.messagingengine.com>
> > > Content-Type: text/plain; charset="ISO-8859-1"
> > >
> > >
> > >
> > >
> > > " cryptography ... missile system ... encrypting ...  transmitting ...
> > > Al Quaeda ... NSA"  sequence occurring twice within 7 hours in the
same
> > > mail-list.  Somewhere in VA a computer just burped.  Expect the black
> > > helicopters within 24 hours.  :)
> > >
> > > davew
> > >
> > > On Sat, 21 Jul 2007 13:34:44 -0600, "Robert Holmes"
> > > <robert at holmesacosta.com> said:
> > > > Cryptography. The required robustness of a random generator is
highly

> > > > sensitive to the intended application;
> > > >
> > > >    - Generating a "thought for the day" for your blog? Required
> > > >    randomness = low.
> > > >    - Response testing a missile system? Required randomness = medium
> > > >    - Stealing above test results, encrypting them and transmitting
> them
> > > >    to Al Quaeda in a form that you hope the NSA won't understand?
> > > >    Required
> > > >    randomness = high
> > > >
> > > > Robert
> > > >
> > > > On 7/21/07, Peter Lissaman <plissaman at earthlink.net> wrote:
> > > > >
> > > > >  Why is it important (except intellectually) to have "true"
> > randomness???
> > > > > I very well remember the early, good old, bad old, days of
> Aerospace,
> > in the
> > > > > 50's, when we were really doing practical earthshattering things
--

> > like
> > > > > going to the moon -- sans computers!!  The RAND corporation, for
> whom
> > I
> > > > > consulted, published a typed book (size of a Manhattan telephone
> > directory)
> > > > > of "random" numbers  for engineering application.  Much
> entertainment
> > was
> > > > > occasioned when, about three months later, they distributed a list
> of
> > > > > "typos" to their original list of random numbers.  Today I use
> > homemade
> > > > > random numbers alla time for real problems, specifically the
actual

> > response
> > > > > of real flight vehicles in real atmospheric turbulence.  Flight
> tests
> > > > > support  analysis, in the sense that what we predict is not
> obviously
> > > > > incorrect.  We have never found it necessary to utilize any more
> > "perfectly
> > > > > random" "random" sequences!
> > > > >
> > > > >
> > > > > Peter Lissaman, Da Vinci Ventures
> > > > >
> > > > > Expertise is not knowing everything, but knowing what to look for.
> > > > >
> > > > > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > > > > TEL: (505) 983-7728 FAX: (505) 983-1694
> > > > >
> > > > >
> > > > >
> > > > > ============================================================
> > > > > FRIAM Applied Complexity Group listserv
> > > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > > > >
> > >
> > >
> > >
> > > ------------------------------
> > >
> > > Message: 5
> > > Date: Sat, 21 Jul 2007 23:19:25 -0400
> > > From: "Phil Henshaw" <sy at synapse9.com>
> > > Subject: Re: [FRIAM] Why "true" random?
> > > To: "'The Friday Morning Applied Complexity Coffee Group'"
> > > <friam at redfish.com>
> > > Message-ID: <000001c7cc0f$1b4d1240$2f01a8c0 at SavyII>
> > > Content-Type: text/plain; charset=iso-8859-1
> > >
> > > Or what about 'decynchronization', rather than random noise..to erase
> > > inconvenient pattern?   Probably has nothing to do with cryptography,
> > > though, I suppose, as I expect that the sort of lab experiment thing
the

> > > people at the SASO conference were talking about has no mathematical
> > > representation as yet, just ways of producing them.    At least that's
> > > another property that efficiently hides pattern.  It came up that some
> > > of the work on syncronization, that doing the opposite had valuable
> > > proprerties in preventing congestion and surges when used to produce
> > > desynchronized flows.     Interesting work though!
> > >
> > >
> > > Phil Henshaw                       ????.?? ? `?.????
> > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> > > 680 Ft. Washington Ave
> > > NY NY 10040                      
> > > tel: 212-795-4844                
> > > e-mail: pfh at synapse9.com          
> > > explorations: www.synapse9.com    
> > >
> > >
> > > > -----Original Message-----
> > > > From: friam-bounces at redfish.com
> > > > [mailto:friam-bounces at redfish.com] On Behalf Of Russell Standish
> > > > Sent: Saturday, July 21, 2007 12:28 AM
> > > > To: plissaman at earthlink.net; The Friday Morning Applied
> > > > Complexity Coffee Group
> > > > Subject: Re: [FRIAM] Why "true" random?
> > > >
> > > >
> > > > Cryptographic applications require true randomness. If your
> > > > cipher used on a pseudo-random number generator, then a
> > > > cracker discovering your algorithm and key has broken your code.
> > > >
> > > > I also have a hunch that genuine randomness is needed for
> > > > open-ended evolutionary systems. Here, the evol algorithm is
> > > > in the position of the code cracker, and once the code is
> > > > cracked, the evol algorithm stops. I had a workshop paper on
> > > > this in 2004, which has some problems with it. The concept is
> > > > controversial, to say the least.
> > > >
> > > > Cheers
> > > >
> > > > On Sat, Jul 21, 2007 at 10:24:42AM -0600, Peter Lissaman wrote:
> > > > > Why is it important (except intellectually) to have "true"
> > > > > randomness???  I very well remember the early, good old,
> > > > bad old, days
> > > > > of Aerospace, in the 50's, when we were really doing practical
> > > > > earthshattering things -- like going to the moon -- sans
> > > > computers!!  
> > > > > The RAND corporation, for whom I consulted, published a typed
book
> > > > > (size of a Manhattan telephone directory) of "random" numbers
for

> > > > > engineering application.  Much entertainment was occasioned when,
> > > > > about three months later, they distributed a list of
> > > > "typos" to their
> > > > > original list of random numbers.  Today I use homemade
> > > > random numbers
> > > > > alla time for real problems, specifically the actual
> > > > response of real
> > > > > flight vehicles in real atmospheric turbulence.  Flight
> > > > tests support  
> > > > > analysis, in the sense that what we predict is not obviously
> > > > > incorrect.  We have never found it necessary to utilize any more
> > > > > "perfectly random" "random" sequences!
> > > > >
> > > > >
> > > > > Peter Lissaman, Da Vinci Ventures
> > > > >
> > > > > Expertise is not knowing everything, but knowing what to look for.
> > > > >
> > > > > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > > > > TEL: (505) 983-7728 FAX: (505) 983-1694
> > > > > ============================================================
> > > > > FRIAM Applied Complexity Group listserv
> > > > > Meets Fridays 9a-11:30 at cafe at St. John's College lectures,
> > > > > archives, unsubscribe, maps at http://www.friam.org
> > > >
> > > > --
> > > >
> > > > --------------------------------------------------------------
> > > > --------------
> > > > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > > > Mathematics                        
> > > > UNSW SYDNEY 2052                 hpcoder at hpcoders.com.au
> > > > Australia                                http://www.hpcoders.com.au
> > > > --------------------------------------------------------------
> > > > --------------
> > > >
> > > > ============================================================
> > > > FRIAM Applied Complexity Group listserv
> > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > > >
> > > >
> > >
> > >
> > >
> > >
> > >
> > > ------------------------------
> > >
> > > Message: 6
> > > Date: Sat, 21 Jul 2007 23:18:36 -0600
> > > From: "Douglas Roberts" <doug at parrot-farm.net>
> > > Subject: Re: [FRIAM] Why "true" random?
> > > To: "The Friday Morning Applied Complexity Coffee Group"
> > > <friam at redfish.com>, plissaman at earthlink.net
> > > Message-ID:
> > > <f16528920707212218t5d7a368bk3c81a01bf7b3af63 at mail.gmail.com>
> > > Content-Type: text/plain; charset="iso-8859-1"
> > >
> > > Simulations of stochastic processes also require good RN generators,
> > > especially for simulations of large systems with (I hate to use this
> word)
> > > emergent behavioral properties.  A bad RN generator will introduce
> > emergent
> > > behavior that will be "flavored" by a bad random sequences.
> > >
> > >
> > > --
> > > Doug Roberts, RTI International
> > > droberts at rti.org
> > > doug at parrot-farm.net
> > > 505-455-7333 - Office
> > > 505-670-8195 - Cell
> > >
> > >
> > > On 7/20/07, Russell Standish <r.standish at unsw.edu.au> wrote:
> > > >
> > > > Cryptographic applications require true randomness. If your cipher
> > > > used on a pseudo-random number generator, then a cracker discovering
> > > > your algorithm and key has broken your code.
> > > >
> > > > I also have a hunch that genuine randomness is needed for open-ended
> > > > evolutionary systems. Here, the evol algorithm is in the position of
> > > > the code cracker, and once the code is cracked, the evol algorithm
> > > > stops. I had a workshop paper on this in 2004, which has some
problems
> > > > with it. The concept is controversial, to say the least.
> > > >
> > > > Cheers
> > > >
> > > > On Sat, Jul 21, 2007 at 10:24:42AM -0600, Peter Lissaman wrote:
> > > > > Why is it important (except intellectually) to have "true"
> > > > randomness???  I very well remember the early, good old, bad old,
days

> > of
> > > > Aerospace, in the 50's, when we were really doing practical
> > earthshattering
> > > > things -- like going to the moon -- sans computers!!  The RAND
> > corporation,
> > > > for whom I consulted, published a typed book (size of a Manhattan
> > telephone
> > > > directory) of "random" numbers  for engineering application.  Much
> > > > entertainment was occasioned when, about three months later, they
> > > > distributed a list of "typos" to their original list of random
> > > > numbers.  Today I use homemade random numbers alla time for real
> > problems,
> > > > specifically the actual response of real flight vehicles in real
> > atmospheric
> > > > turbulence.  Flight tests support  analysis, in the sense that what
we
> > > > predict is not obviously incorrect.  We have never found it
necessary

> to
> > > > utilize any more "perfectly random" "random" sequences!
> > > > >
> > > > >
> > > > > Peter Lissaman, Da Vinci Ventures
> > > > >
> > > > > Expertise is not knowing everything, but knowing what to look for.
> > > > >
> > > > > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > > > > TEL: (505) 983-7728 FAX: (505) 983-1694
> > > > > ============================================================
> > > > > FRIAM Applied Complexity Group listserv
> > > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > > >
> > > > --
> > > >
> > > >
> > > >
> >
>
----------------------------------------------------------------------------
> > > > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > > > Mathematics
> > > > UNSW SYDNEY 2052                         hpcoder at hpcoders.com.au
> > > > Australia                                http://www.hpcoders.com.au
> > > >
> > > >
> >
>
----------------------------------------------------------------------------

> > > >
> > > > ============================================================
> > > > FRIAM Applied Complexity Group listserv
> > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > > >
> > > -------------- next part --------------
> > > An HTML attachment was scrubbed...
> > > URL:
> >
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070721/bb754afb

> > /attachment-0001.html
> > >
> > > ------------------------------
> > >
> > > Message: 7
> > > Date: Sun, 22 Jul 2007 08:31:25 -0400
> > > From: "Phil Henshaw" <sy at synapse9.com>
> > > Subject: Re: [FRIAM] Why "true" random?
> > > To: "'The Friday Morning Applied Complexity Coffee Group'"
> > > <friam at redfish.com>
> > > Message-ID: <000801c7cc5c$38c4fd40$2f01a8c0 at SavyII>
> > > Content-Type: text/plain; charset="iso-8859-1"
> > >
> > > Not sure really what the inputs always used, but I think these
Self-org
> > > & Self-adapt algorithms the SASO engineers were playing with didn't
> > > always use random generators to produce the systemic effects they were
> > > getting.   Obviously all input effects all output in some sort of way,
> > > but it was the outcomes that would come from the whole gamete of
> > > unspecified inputs that seemed to be the 'phase space profile' they
were
> > > most interested in.  
> > >  
> > > Many of the papers were on how the inputs could seriously 'misbehave'
> > > and still not screw up the control schemes, often discussed in terms
of

> > > 'malicious agent' concepts, of which the real net has plenty real
> > > examples!     I also found them very receptive to considering not only
> > > what a malicious person would think of doing to defeat someone else's
> > > operating plan, but also the 'malicious creativity' of natural system
> > > emergence as a focus of design contingencies.
> > >  
> > >  
> > >
> > > Phil Henshaw                       ????.?? ? `?.????
> > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> > > 680 Ft. Washington Ave
> > > NY NY 10040                      
> > > tel: 212-795-4844                
> > > e-mail: pfh at synapse9.com          
> > > explorations: www.synapse9.com <http://www.synapse9.com/>    
> > >
> > > -----Original Message-----
> > > From: friam-bounces at redfish.com [mailto:friam-bounces at redfish.com] On
> > > Behalf Of Douglas Roberts
> > > Sent: Sunday, July 22, 2007 1:19 AM
> > > To: The Friday Morning Applied Complexity Coffee Group;
> > > plissaman at earthlink.net
> > > Subject: Re: [FRIAM] Why "true" random?
> > >
> > >
> > > Simulations of stochastic processes also require good RN generators,
> > > especially for simulations of large systems with (I hate to use this
> > > word) emergent behavioral properties.  A bad RN generator will
introduce

> > > emergent behavior that will be "flavored" by a bad random sequences.
> > >
> > >
> > > --
> > > Doug Roberts, RTI International
> > > droberts at rti.org
> > > doug at parrot-farm.net
> > > 505-455-7333 - Office
> > > 505-670-8195 - Cell
> > >
> > >
> > >
> > > On 7/20/07, Russell Standish <r.standish at unsw.edu.au> wrote:
> > >
> > > Cryptographic applications require true randomness. If your cipher
> > > used on a pseudo-random number generator, then a cracker discovering
> > > your algorithm and key has broken your code.
> > >
> > > I also have a hunch that genuine randomness is needed for open-ended
> > > evolutionary systems. Here, the evol algorithm is in the position of
> > > the code cracker, and once the code is cracked, the evol algorithm
> > > stops. I had a workshop paper on this in 2004, which has some problems
> > > with it. The concept is controversial, to say the least.
> > >
> > > Cheers
> > >
> > > On Sat, Jul 21, 2007 at 10:24:42AM -0600, Peter Lissaman wrote:
> > > > Why is it important (except intellectually) to have "true"
> > > randomness???  I very well remember the early, good old, bad old, days
> > > of Aerospace, in the 50's, when we were really doing practical
> > > earthshattering things -- like going to the moon -- sans computers!!
> > > The RAND corporation, for whom I consulted, published a typed book
(size
> > > of a Manhattan telephone directory) of "random" numbers  for
engineering
> > > application.  Much entertainment was occasioned when, about three
months
> > > later, they distributed a list of "typos" to their original list of
> > > random numbers.  Today I use homemade random numbers alla time for
real

> > > problems, specifically the actual response of real flight vehicles in
> > > real atmospheric turbulence.  Flight tests support  analysis, in the
> > > sense that what we predict is not obviously incorrect.  We have never
> > > found it necessary to utilize any more "perfectly random" "random"
> > > sequences!
> > > >
> > > >
> > > > Peter Lissaman, Da Vinci Ventures
> > > >
> > > > Expertise is not knowing everything, but knowing what to look for.
> > > >
> > > > 1454 Miracerros Loop South, Santa Fe, New Mexico 87505
> > > > TEL: (505) 983-7728 FAX: (505) 983-1694
> > > > ============================================================
> > > > FRIAM Applied Complexity Group listserv
> > > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > >
> > > --
> > >
> > >
------------------------------------------------------------------------
> > > ----
> > > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > > Mathematics
> > > UNSW SYDNEY 2052                         hpcoder at hpcoders.com.au
> > > Australia                                http://www.hpcoders.com.au
> > > <http://www.hpcoders.com.au>
> > >
------------------------------------------------------------------------

> > > ----
> > >
> > > ============================================================
> > > FRIAM Applied Complexity Group listserv
> > > Meets Fridays 9a-11:30 at cafe at St. John's College
> > > lectures, archives, unsubscribe, maps at http://www.friam.org
> > >
> > >
> > >
> > >
> > >
> > > -------------- next part --------------
> > > An HTML attachment was scrubbed...
> > > URL:
> >
>
http://redfish.com/pipermail/friam_redfish.com/attachments/20070722/bef1457b

> > /attachment-0001.html
> > >
> > > ------------------------------
> > >
> > > Message: 8
> > > Date: Sun, 22 Jul 2007 07:40:10 -0600
> > > From: "Roger Frye" <rfrye at qforma.com>
> > > Subject: Re: [FRIAM] Why "true" random?
> > > To: "The Friday Morning Applied Complexity Coffee Group"
> > > <friam at redfish.com>
> > > Message-ID: <op.tvvb880hmlpho7 at vivarini.frye>
> > > Content-Type: text/plain; format=flowed; delsp=yes;
> > > charset=iso-8859-15
> > >
> > > I would argue the opposite.  While I agree with Doug that you need
good
>
> > > RNGs (though not necessarily true RNGs) in order to avoid bias, the  
> > > problem with good pseudo- or true- RNGs is that they have order N^2  
> > > convergence for Monte Carlo simulations.  Quasi-random number
> generators  
> > > on the other hand (such as multiples of an irrational square root, or
a

>
> > > Peano tiling) converge in order N.  If you can trust the results,
> faster  
> > > conergence lets you simulate more.
> > > -Roger
> > >
> > > On Sat, 21 Jul 2007 23:18:36 -0600, Douglas Roberts
> > <doug at parrot-farm.net>  
> > > wrote:
> > >
> > > > Simulations of stochastic processes also require good RN generators,
> > > > especially for simulations of large systems with (I hate to use
this  

> > > > word)
> > > > emergent behavioral properties.  A bad RN generator will introduce  
> > > > emergent
> > > > behavior that will be "flavored" by a bad random sequences.
> > > >
> > > >
> > >
> > >
> > >
> > >
> > >
> > > ------------------------------
> > >
> > > _______________________________________________
> > > Friam mailing list
> > > Friam at redfish.com
> > > http://redfish.com/mailman/listinfo/friam_redfish.com
> > >
> > >
> > > End of Friam Digest, Vol 49, Issue 20
> > > *************************************
> >
> >
> >
> >
> >
> > ------------------------------
> >
> > Message: 14
> > Date: Mon, 23 Jul 2007 11:02:03 +0200
> > From: G?nther Greindl <guenther.greindl at gmail.com>
> > Subject: Re: [FRIAM] math and the mother church
> > To: The Friday Morning Applied Complexity Coffee Group
> > <friam at redfish.com>
> > Message-ID: <46A46E8B.9040709 at gmail.com>
> > Content-Type: text/plain; charset=ISO-8859-1; format=flowed
> >
> > Hello all,
> >
> > > What you have given is the "handwaving" version of the proof. The
> > > trouble is that human imagination can easily get us into trouble when
> > > dealing with infinities, which is necessarily involved in dealing with
> >
> > I disagree - why was that a handwaving proof? It was exactly the way
> > someone _understands_ what the proofs are about. Mathematical notation
> > is only meaningless symbolism unless it is interpreted. It is
> > interpreted by our intuitions (visualization, relation to other, more
> > basic concepts etc).
> >
> > Mathematical notation is good for a number of things:
> >
> > 1) define your concepts exactly (again, somewhere it has to bottom out
> > intuitively like in the concept of set membership or the rules of
> inference)
> >
> > 2) use a convenient shorthand (=math notation) which let's us reason
> > more easily about the concepts than in natural language. Good math
> > notation captures some intuitive reasoning analogy in our brains about
> > the subject - no platonic reality about the structural relation in
itself.
> >
> > 3) Mathematics is then used to reason about ever more complex subjects.
> > The notation has been developed in a way that inferential validity is
> > preserved when mindless symbol shunting is correctly followed. This
> > let's us "reason" about things where our intuition _fails_ to preserve
> > inferential validity.
> >
> >
> > So, actually, there is no _magic_ in math or in the notation: it is
just

> >    a very clever way of performing reasoning.
> >
> > But in essence, a three page proof in english (if diligently written)
> > differs not from a two paragraph proof in algebra (which is just more
> > condensed).
> >
> > That is actually the reason (I think) why some people who are very
> > intelligent fail at math: not because they are to dumb, but because
> > somewhere in their education they had bad math teachers who failed to
> > teach the intuition/understanding on a certain essential and basic
> > formalism.
> >
> > As maths will build on this formalism in more complex situations,
> > everybody who has failed to grasp the grounding "shorthand" will fail
to

> > grasp anything else (or it will appear like magic anyway).
> >
> > > Handwaving arguments are good for developing intuition. Great for
> > > teaching during a lecture, and get the students to study the rigorous
> > > proof later. Similarly, they're good for scientific seminars, but not
> > > scientific papers.
> >
> > I'm not sure - I think the focus on formalism and the deprecatory
> > attitude which one regards intuition nowadays is actually bad for
> > mathematics.
> >
> > For a refreshingly different approach read for instance
> >
> > Needham: Visual complex analysis
> >
> > http://www.usfca.edu/vca/
> >
> > which shows that you do not have to sacrifice rigor by being intuitive
> > (on the contrary!).
> >
> > Cheers,
> > G?nther
> >
> > --
> > G?nther Greindl
> > Department of Philosophy of Science
> > University of Vienna
> > guenther.greindl at univie.ac.at
> > http://www.univie.ac.at/Wissenschaftstheorie/
> >
> > Blog: http://dao.complexitystudies.org/
> > Site: http://www.complexitystudies.org
> >
> >
> >
> > ------------------------------
> >
> > _______________________________________________
> > Friam mailing list
> > Friam at redfish.com
> > http://redfish.com/mailman/listinfo/friam_redfish.com
> >
> >
> > End of Friam Digest, Vol 49, Issue 21
> > *************************************
>
>
>
>
>
> ------------------------------
>
> Message: 2
> Date: Wed, 25 Jul 2007 10:39:44 +1000
> From: Russell Standish <r.standish at unsw.edu.au>
> Subject: Re: [FRIAM] Intuition-geometry-computation-mathematics
> To: plissaman at earthlink.net, The Friday Morning Applied Complexity
> Coffee Group <friam at redfish.com>
> Message-ID: <20070725003944.GA896 at hells-dell.localdomain>
> Content-Type: text/plain; charset=us-ascii
>
> On Tue, Jul 24, 2007 at 12:39:06PM -0600, Peter Lissaman wrote:
> > Geometry has no place in mathematics.  Mathematics cannot be explained
> > graphically -- all math proofs must be for blind men, as me tutor used
to

> > say.  
>
> I vehemently disagree with this comment. Consider the theorem that the
> determinant of the product of two matrices is the product of the two
> determinants.
>
> This can be understood geometrically in a trice, as a determinant is
> simply the ratio of the changed hypervolumes undergo when passed through a
> linear map (for 2 dimensional hypervolumes, substitute "area", for 3D
> substitute "volume"). Sign captures whether the volume has undergone a
> mirror transformation.
>
> Obviously applying two linear maps one after the other leads to the
> desired composition rule.
>
> However, to show this theorem algebraicly requires at least a page of
> algebra, and it is not clear one hasn't made a mistake. One would
> never get to the theorem in the first place without the geometrical
> intuition. However, the algebra is needed to ensure one isn't mislead
> by intuition.
>
> I have met mathematicians one cannot talk to in geometry. They are a
> pain to work with.
>
> --
>
>
----------------------------------------------------------------------------
> A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> Mathematics                        
> UNSW SYDNEY 2052                 hpcoder at hpcoders.com.au
> Australia                                http://www.hpcoders.com.au
>
----------------------------------------------------------------------------

>
>
>
> ------------------------------
>
> Message: 3
> Date: Tue, 24 Jul 2007 18:59:45 -0600
> From: "Douglas Roberts" <doug at parrot-farm.net>
> Subject: Re: [FRIAM] Intuition-geometry-computation-mathematics
> To: "The Friday Morning Applied Complexity Coffee Group"
> <friam at redfish.com>
> Message-ID:
> <f16528920707241759g50914dffqbeb77c3fcea9c59c at mail.gmail.com>
> Content-Type: text/plain; charset="iso-8859-1"
>
> I agree.
>
> ;-}
>
> --
> Doug Roberts, RTI International
> droberts at rti.org
> doug at parrot-farm.net
> 505-455-7333 - Office
> 505-670-8195 - Cell
>
> On 7/24/07, Russell Standish <r.standish at unsw.edu.au> wrote:
> >
> >
> >
> > I have met mathematicians. They are a
> > pain to work with.
> >
> > --
> >
> >
> >
----------------------------------------------------------------------------
> > A/Prof Russell Standish                  Phone 0425 253119 (mobile)
> > Mathematics
> > UNSW SYDNEY 2052                         hpcoder at hpcoders.com.au
> > Australia                                http://www.hpcoders.com.au
> >
> >
----------------------------------------------------------------------------
> >
> > ============================================================
> > FRIAM Applied Complexity Group listserv
> > Meets Fridays 9a-11:30 at cafe at St. John's College
> > lectures, archives, unsubscribe, maps at http://www.friam.org
> >
> -------------- next part --------------
> An HTML attachment was scrubbed...
> URL:
http://redfish.com/pipermail/friam_redfish.com/attachments/20070724/9ec4fed9
/attachment-0001.html

>
> ------------------------------
>
> Message: 4
> Date: Tue, 24 Jul 2007 20:47:11 -0700
> From: "Glen E. P. Ropella" <gepr at tempusdictum.com>
> Subject: Re: [FRIAM] Intuition-geometry-computation-mathematics
> To: The Friday Morning Applied Complexity Coffee Group
> <friam at redfish.com>
> Message-ID: <46A6C7BF.1080100 at tempusdictum.com>
> Content-Type: text/plain; charset=ISO-8859-1
>
> -----BEGIN PGP SIGNED MESSAGE-----
> Hash: SHA1
>
> Peter Lissaman wrote:
> > Geometry has no place in mathematics.
>
> [...]
>
> > Peter Lissaman,  Da Vinci Ventures
>
> You cannot possibly expect the joke to go over well without placing your
> signature in close proximity to the ridiculous statement.  For us
> dumb-asses to get your humour, you have to be simple and state them in
> close proximity.... something like:
>
> "Mathematics cannot be explained graphically!
>     -- Peter Lissaman, Da Vinci Ventures!
>
> "da Vinci",  indeed.  [grin]
>
> - --
> glen e. p. ropella, 971-219-3846, http://tempusdictum.com
> There is all the difference in the world between treating people equally
> and attempting to make them equal. -- F.A. Hayek
> -----BEGIN PGP SIGNATURE-----
> Version: GnuPG v1.4.2.2 (GNU/Linux)
> Comment: Using GnuPG with Mozilla - http://enigmail.mozdev.org
>
> iD8DBQFGpse/ZeB+vOTnLkoRAplOAKC57+p64yNsErQYTpBJSIL0srIalwCgxlYR
> oXDgICGlqTWG1YXxzLYKFTk=
> =M0c5
> -----END PGP SIGNATURE-----
>
>
>
> ------------------------------
>
> Message: 5
> Date: Tue, 24 Jul 2007 21:57:03 -0600
> From: Owen Densmore <owen at backspaces.net>
> Subject: [FRIAM] YouTube - Debates
> To: The Friday Morning Applied Complexity Coffee Group
> <friam at redfish.com>
> Message-ID: <923CED3A-4EB8-42C8-B0F6-42B0831A3EAE at backspaces.net>
> Content-Type: text/plain; charset=US-ASCII; format=flowed
>
> Just in case you didn't see/hear the YouTube debate:
>    http://www.youtube.com/debates
>
>      -- Owen
>
>
>
>
>
> ------------------------------
>
> Message: 6
> Date: Wed, 25 Jul 2007 08:35:43 -0600
> From: "Douglas Roberts" <doug at parrot-farm.net>
> Subject: [FRIAM] Interesting article and ad
> To: "The Friday Morning Applied Complexity Coffee Group"
> <Friam at redfish.com>
> Message-ID:
> <f16528920707250735t145da79fref6602fd4ec7c1d7 at mail.gmail.com>
> Content-Type: text/plain; charset="iso-8859-1"
>
> http://public.cq.com/docs/hb/hbnews110-000002553782.html
>
> in the Congressional Quarterly, a press release from Rajeev Venkayya, the
> end customer for the flu study that my colleagues and I worked on
recently.

> We ran hundreds of EpiSims runs for the study, as well as a similar number
> of runs with two other epi codes, and then spent months collating and
> correlating results, and identifying additional scenarios to simulate.
>
> Also check out the "ad by Google" to the left of the article.
>
> --Doug
>
> --
> Doug Roberts, RTI International
> droberts at rti.org
> doug at parrot-farm.net
> 505-455-7333 - Office
> 505-670-8195 - Cell
> -------------- next part --------------
> An HTML attachment was scrubbed...
> URL:
http://redfish.com/pipermail/friam_redfish.com/attachments/20070725/34aaa1a4
/attachment-0001.html

>
> ------------------------------
>
> _______________________________________________
> Friam mailing list
> Friam at redfish.com
> http://redfish.com/mailman/listinfo/friam_redfish.com
>
>
> End of Friam Digest, Vol 49, Issue 22
> *************************************