Back to AtD Zeta functions

[Prashant Kumar]

I like to say that entropy is a trope present in every work of fiction
(especially Things Fall Apart, amirite? Anyone? Anyone? Ok fine...) insofar
as everything is subject to the thermodynamic arrow of time. (over a long
enough timescale)


On Monday, 16 July 2012, Mark Kohut wrote:

> The Annie Liebowitz reminder was wonderfully ironic about a solid woman
> thinker/writer who was NOT as ironic as TRP, imho.
>
> And, short Wittgenstein answer is we need a longer answer and time but
> that TRP might use the ideas creatively, metaphorically, as
> he does the concepts of entropy and other concepts is still possible.
>
>   *From:* Paul Mackin <mackin.paul at verizon.net <javascript:_e({}, 'cvml',
> 'mackin.paul at verizon.net');>>
> *To:* pynchon-l at waste.org <javascript:_e({}, 'cvml',
> 'pynchon-l at waste.org');>
> *Sent:* Monday, July 16, 2012 6:57 AM
> *Subject:* Re: Back to AtD Zeta functions
>
>  On 7/16/2012 12:08 AM, Prashant Kumar wrote:
>
> So actually the imaginary numbers used in representing voltage don't
> represent real or *measurable* quantities. It's just a mathematical
> convenience. The salient point is this: we can't directly measure anything
> with an *i*.
>
> Strangely, physical entities with imaginary components do exist, such as
> the wavefunction of a quantum mechanical system. There was a result in
> Nature recently that proved that the wavefunction is not just a statement
> of knowledge, it represents more than just probabilities. If anyone is
> interested I can go into this, but the short answer is Witt was wrong
>
>
> Thanks, Prashant.  I withdraw my voltage example.
>
> Luddy wrong too.  I'm in such good company.
>
> P
>
>
> On 16 July 2012 11:01, Lemuel Underwing <luunderwing at gmail.com<javascript:_e({}, 'cvml', 'luunderwing at gmail.com');>
> > wrote:
>
> As someone who suffers from an inability to properly understand maths I
> thank you, 'twas certainly helpful.
>
> It is hard for me to imagine who any of this has to do with Annie
> Leibovitz... I take it some folks have a hard time figuring out what is
> just *White Noise* in Pynchon...?
>
>
> On Sun, Jul 15, 2012 at 8:25 AM, Prashant Kumar <
> siva.prashant.kumar at gmail.com <javascript:_e({}, 'cvml',
> 'siva.prashant.kumar at gmail.com');>> wrote:
>
> First we're gonna need complex numbers, made of a real part (normal
> numbers) plus an imaginary part. Imaginary numbers are defined by multiples
> of *i*=squareroot(-1). Imagine a 2D graph, the vertical axis marked with
> multiples of *i* and the horizontal axis with real numbers. So on this 2D
> graph we can define a complex number as a point. Call such a point s =
> \sigma + \rho, \sigma and \rho being real and imaginary numbers resp.
>
> Since it takes real and imaginary inputs, and we plot the output in the
> third dimension, the Riemann Zeta function can be visualised as a surface
> sitting above the complex number graph; that's what you saw, Mark (see here
> http://en.wikipedia.org/wiki/Riemann_zeta_function for the same thing
> with magnitude represented as colour).  If I have a RZ function, writing R
> as a function of s as R(s), the zeroes are the values of s for which
> R(s)=0.  The Riemann Hypothesis (unproven) states that the zeroes of the RZ
> function have real part 1/2. Formally, R(1/2 + \rho) = 0. This gives you a
> line on the surface of the RZ function (known as the critical line) along
> which the zeroes are hypothesised to lie. That wasn't too bad, right?
>
> Verifying this hypothesis is notoriously hard.
>
> On 15 July 2012 21:27, Mark Kohut <markekohut at yahoo.com<javascript:_e({}, 'cvml', 'markekohut at yahoo.com');>
> > wrote:
>
> "Except that this one's horizontal and drawn on a grid of latitude and
> longitude,
> instead of rel vs imaginary values---where Riemann said that all the
> zeroes of the
> Beta function will be found."
>
> p. 937 Don't know enough math to have a feel for Zeta functions but
> Wolfram's
> maths guide online shows Beta functions kinda graphed in three dimensions,
> with raised sections, waves, folds etc....
>
> And all I can associate at the moment are the raised maps, showing land
> formations,
> and the phrase
>
> History is a step-function.
>
> Anyone, anyone? Bueller?
>
>
>
>
>
>
>
>
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://waste.org/pipermail/pynchon-l/attachments/20120717/0ddcbca0/attachment.html>