google-plex and beyond
Dave Persik
G(2) = goole-plex = google ^ google = G(1) ^ G(1);
G(3) = google-du-plex = google-plex ^ google-plex = G(2) ^ G(2);
G(4) = google-tri-plex = G(3) ^ G(3);
G(5) = google-quad-plex = G(4) ^ G(4);
...
G(n) = google-n-plex = G(n-1) ^ G(n-1);
G(google) = google-google-plex;
G(google-plex) = google-google-plex-plex;
G(google-google-plex-plex) = google-google-google-plex-plex-plex;
...
G(google(written a google number of times)-plex(written a google number
of times))
= G(google(written a google - 1 number of times)-plex(written a google -
1 number of times)) ^ G(google(written a google - 1 number of times)-
plex(written a google - 1 number of times))
= google-google(written a google number of times)-plex(written a google
number of times)-plex
= G(g)
G(g+1) = G(g) ^ G(g) = google-g+1-plex;
G(g+2) = G(g+1) ^ G(g+1)= google-g+2-plex;
...
G(g+google) = G(g+google-1) ^ G(g+google-1) = google-g+google-plex;
G(g+google+1) = G(g+google) ^ G(g+google) = google-g+google+1-plex;
G(g+google+2) = G(g+google+1) ^ G(g+google+1)= google-g+google+2-
plex;...
...
G(g+g) = google-g+g-plex;
...
G(g^g) = google-g^g-plex;
G(g^g+1) = google-g^g+1-plex;
G(g^g+2) = google-g^g+2-plex;
...
G(g^g + g^g) = google-g^g+g^g-plex;
...
G((g^g)^(g^g)) = google-(g^g)^(g^g)-plex;
G((g^g) raised to the (g^g) a (g^g) number of times;
G(google-g^g-plex) = google-google-g^g-plex-plex;
Michael Stemper
>G(1) = google = 10 ^ 100;
>G(2) = goole-plex = google ^ google = G(1) ^ G(1);
Would it bother you terribly to learn that googleplex is not
google^google, but only 10^google?
--
Michael F. Stemper
#include <Standard_Disclaimer>
I feel more like I do now than I did when I came in.
neilist
> In article <FH4Gi.332$pU...@newsfe06.lga>, Dave Persik writes:
> >G(1) = google = 10 ^ 100;
> >G(2) = goole-plex = google ^ google = G(1) ^ G(1);
>
> Would it bother you terribly to learn that googleplex is not
<snip>
... spelled "googleplex".
IT'S GOOGOL, not Google(TM) !!!!
And thus,
IT'S GOOGOLPLEX, not Googleplex!!!!
neilist
As Jesse Hughes mentioned in another thread,
Phil Carmody
> In article <FH4Gi.332$pU...@newsfe06.lga>, Dave Persik writes:
> >G(1) = google = 10 ^ 100;
> >G(2) = goole-plex = google ^ google = G(1) ^ G(1);
>
> Would it bother you terribly to learn that googleplex is not
> google^google, but only 10^google?
Would it bother you terribly to learn that there are no such
numbers? Googol and googolplex are the terms you are both
looking for.
Phil
--
Dear aunt, let's set so double the killer delete select all.
-- Microsoft voice recognition live demonstration
Gottfried Helms
<G>
neilist
>
> - Show quoted text -
Not "giggle". Googol!!
Or is that an accented pronunciaton of "googol"?
:-)
Proginoskes
Gogol?
neilist
>
> - Show quoted text -
Googol = a big number, Googolplex is an even larger number;
Google = a big search engine, Google-plex is the future networked
infrastructure of services owned by Google;
giggle = a small laugh, giggle-plex is a fit of laughter where you
can't stop giggling;
Gogol = a great writer, Gogol-plex is the delusion that you're a great
writer;
Godot = a big deal to two tramps waiting for him to arrive, Godot-plex
is the obsessive mindset of the two tramps;
Godel = a great mathematician, Godel-plex is the delusion that you can
correct an effectively generated mathematical system to be both
consistent and complete.
:-)
mensa...@aol.com
Goto = a BASIC command to jump somewhere else in the program
Goto-plex = spaghetti code
Gottfried Helms
AS(10,2) = 2 - 10^2 + 10^10^2 - 10^10^10^2 + 10^10^10^10^2 - ...+... ~ 0.336337317504
AS(10,2) = 2 - 10^2 + googol - googolplex + 10^googolplex - ...+... ~ 0.336337317504
... peeking from the shoulders of giants everything looks tiny... :-)
Gottfried
neilist
>
> - Show quoted text -
What are these? From the "AS" notation, Abel Summations?
Dave Seaman
> Not "giggle". Googol!!
Googol!! is considerably larger than Googolplex. In fact, it's equal to
2^(Googol/2) (Googol/2)!, whichy by Stirling's formula is approximately
10^10^(4.978 * 10^101), or slightly less than Googolplex^50 =
10^(50*Googol).
:-)
--
Dave Seaman
Oral Arguments in Mumia Abu-Jamal Case heard May 17
U.S. Court of Appeals, Third Circuit
<http://www.abu-jamal-news.com/>
Hero
You use to kinds of magnification:
building the power of
iteration
What about tan?
For example: tan (( 90 - (1/ googol)) [degrees] )= ?
With friendly greetings
Hero
tommy1729
indeed
even i knew that , despite my bad spelling...
tommy1729
Gottfried Helms
>> :-)
>> AS(10,1) = 1 - 10 + 10^10 - 10^10^10 + 10^10^10^10 - ...+... ~ 0.164280631274
>> AS(10,2) = 2 - 10^2 + 10^10^2 - 10^10^10^2 + 10^10^10^10^2 - ...+... ~ 0.336337317504
>> AS(10,2) = 2 - 10^2 + googol - googolplex + 10^googolplex - ...+... ~ 0.336337317504
>>
>> ... peeking from the shoulders of giants everything looks tiny... :-)
>>
>> Gottfried- Hide quoted text -
>>
>> - Show quoted text -
>
> What are these? From the "AS" notation, Abel Summations?
>
>
here some weeks ago. AS: alternating sum
Gruggle...
Ah: another one (the last one): did you know: Guglhupf (tm)?
<G>
David Bernier
``The Kappa Child" is a novel by Hiromi Goto.
cf.:
< http://www.herizons.ca/magazine/issues/sum02/reviews.html >
David R Tribble
>> What are these? From the "AS" notation, Abel Summations?
>
Gottfried Helms wrote:
> That wouldn't be possible... ;-) No. see tetration-forum. Also I posted this
> here some weeks ago. AS: alternating sum
There's also the Ackermann function, a generalized recursive
tetration function.
tommy1729
> >> What are these? From the "AS" notation, Abel
> Summations?
> >
>
> Gottfried Helms wrote:
> > That wouldn't be possible... ;-) No. see
> tetration-forum. Also I posted this
> > here some weeks ago. AS: alternating sum
>
> There's also the Ackermann function, a generalized
> recursive
> tetration function.
but not defined for all reals...
and not equal to tetration either.
bucks function is better...
>
> http://en.wikipedia.org/wiki/Ackermann_function
>
tommy1729