Back to AtD Zeta functions
Paul Mackin
mackin.paul at verizon.net
Mon Jul 16 10:44:55 CDT 2012
On 7/16/2012 10:25 AM, Mark Kohut wrote:
> A...and, adds some weight to the notion of Inconvenience in Pynchon, yes?
Which reminds me, aren't the Chums a convenience?
Or in GR, isn't Slothrop a convenience? Created to fill a place in a
great Bureaucratic Scheme? A place holder in an operation?
"Only the demands of the Operation. Each of us has his place, and the
tenants come and go, but the places remain . . . . " p 616
Comparison is made with the earlier War.
Better sex back then apparently?
P
>
>
> *From:* Paul Mackin <mackin.paul at verizon.net>
> *To:* pynchon-l at waste.org
> *Sent:* Monday, July 16, 2012 9:51 AM
> *Subject:* Re: Back to AtD Zeta functions
>
> On 7/16/2012 8:36 AM, 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.
>
> Prashant's characterization of "i" as a "convenience" reminds me
> that's how Poikler describes delta t to Leni.
>
> "The important thing is taking a function to its limit. Delta t is
> just a convenience, so that it can happen."
>
> Leni thinks it's just his way of removing all the excitement from
> things . . . .
>
> p 159
>
> P
>> *From:* Paul Mackin mailto:mackin.paul at verizon.net
>> *To:* pynchon-l at waste.org <mailto: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
>>> <mailto: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
>>> <mailto: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
>>> <mailto: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?
>>>
>>>
>>>
>>>
>>
>>
>>
>>
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