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Re: simple math problem most people get wrong

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soniclover88888 is not online. soniclover88888
Joined: 01 Feb 2008
Total Posts: 6723
10 Nov 2014 04:36 PM
calculate TREE(3)
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moose1997 is not online. moose1997
Joined: 04 Jul 2008
Total Posts: 12502
10 Nov 2014 04:36 PM
50?
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SupahBoshi64 is not online. SupahBoshi64
Joined: 10 Aug 2010
Total Posts: 63997
10 Nov 2014 04:37 PM
Frowny Lenny face.
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soniclover88888 is not online. soniclover88888
Joined: 01 Feb 2008
Total Posts: 6723
10 Nov 2014 04:40 PM
look up TREE(3) and tell me

here's a hint

This maximal length is a function of k, dubbed TREE(k). The first two values are TREE(1) = 1 and TREE(2) = 3. The next value, TREE(3) is famously very large. It exceeds Graham's number and nn(5)(5). Chris Bird has shown that TREE(3)>{3,6,3[1[1¬1,2]2]2}, using his array notation.

graham's # is

3^^^^3=g1

3^^...(g1 # of arrows)...^^3 = g2
repeat until

3^^...(g63 # of arrows)...^^3 = g64
g64 = Graham's Number (g)

In the words of Archimedes, give me a long enough lever and a place to rest it.. or I shall kill 1 hostage every hour.
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SupahBoshi64 is not online. SupahBoshi64
Joined: 10 Aug 2010
Total Posts: 63997
10 Nov 2014 04:40 PM
What exactly happened to the "simple" part?
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Supermegamash is not online. Supermegamash
Joined: 19 Sep 2009
Total Posts: 17578
10 Nov 2014 04:41 PM
3 trees?
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soniclover88888 is not online. soniclover88888
Joined: 01 Feb 2008
Total Posts: 6723
10 Nov 2014 04:44 PM
3^3 = 9 (simple)

3^^3 = 3^3^3 = 3^27 = 7.6trillion (okay...)

3^^^3 = 3^3^3^3 = 3^3^27 = 3^7.6trillion = insurmountable value

3^^^^3 = 3^3^3^3^3 = 3^3^3^27 = 3^3^7.6trillion = 3^insurmountablevalue

3^insurmountable (henceforth known as U) so 3^U = g1

that's just g1

now g64

then tree(3)

In the words of Archimedes, give me a long enough lever and a place to rest it.. or I shall kill 1 hostage every hour.
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jacksondarksonic is not online. jacksondarksonic
Joined: 07 Sep 2009
Total Posts: 3359
10 Nov 2014 04:46 PM
i havent even learned this crap yet
and i thought algebra was hard
now i have to do more of it
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soniclover88888 is not online. soniclover88888
Joined: 01 Feb 2008
Total Posts: 6723
10 Nov 2014 04:49 PM
the upper limit in ultrafinitism is

(794,843,294,078,147,843,293.7+1/30)⋅e^π^e^π

while being insanely large this number is nowhere close to g64 and is a spec of dust in comparison to TREE(3)


In the words of Archimedes, give me a long enough lever and a place to rest it.. or I shall kill 1 hostage every hour.
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soniclover88888 is not online. soniclover88888
Joined: 01 Feb 2008
Total Posts: 6723
10 Nov 2014 04:50 PM
do I get the award for most experimental OT thread

In the words of Archimedes, give me a long enough lever and a place to rest it.. or I shall kill 1 hostage every hour.
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