numbers and math

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numbers and math

Post by sparky on Mon Jan 21, 2013 4:45 am

[11:49:05 PM PDT] appaloosa horse: http://25.media.tumblr.com/ceb16149949d48d64f46203261d73375/tumblr_mgynnyApla1rpxlhfo1_500.png
[11:49:36 PM PDT] mr video: whats up with tumblr links now
[11:49:50 PM PDT] mr video: they used to be one string of garbled text but now it's a batch of it
[11:49:53 PM PDT] appaloosa horse: i don't really know
[11:50:07 PM PDT] appaloosa horse: for some reason they added an entire new field to them
[11:50:17 PM PDT] mr video: it's annoying as ballsack
[11:50:43 PM PDT] appaloosa horse: it also lengthens the image links by about fifteen characters
[11:51:59 PM PDT] mr video: it's not a case of running out of letters like imgur because it would take a fucking untold ammount of images to run out of 19 character strings holding the entire alphabet in uppercase, lowercase, and 10 numbers
[11:52:09 PM PDT] mr video: it's just the devs being obnoxious douchebags
[11:52:17 PM PDT] mr video: how many combinations is that
[11:52:22 PM PDT] appaloosa horse: uh
[11:52:37 PM PDT] mr video: thats 62 possible characters in one spot in a field
[11:52:53 PM PDT] appaloosa horse: i would imagine it's somewhere in high sextillion range minimum
[11:52:59 PM PDT] mr video: with 20 spots
[11:53:15 PM PDT] mr video: so that would be 62^20 wouldnt it
[11:53:23 PM PDT] mr video: oh fucking lord
[11:53:52 PM PDT] appaloosa horse: 7.0442342554699802296833026461637e+35
[11:53:54 PM PDT] mr video: http://i.imgur.com/GPNiO78.png
[11:54:06 PM PDT] mr video: that many images
[11:54:38 PM PDT] mr video: how many for imgur i wonder
[11:55:20 PM PDT] mr video: 5 letters
[11:55:24 PM PDT] mr video: 62 possible characters
[11:55:55 PM PDT] mr video: http://i.imgur.com/OowOTg4.png
[11:56:13 PM PDT] mr video: i can actually believe imgur has had this many images deployed onto it
[11:58:23 PM PDT] appaloosa horse: alright so that's what, 7,044,423,455,469,980,222,968,330,264,616,370,176 images for tumblr?
[11:58:29 PM PDT] appaloosa horse: something absurd like that
[11:58:33 PM PDT] mr video: yup
[11:58:41 PM PDT] mr video: so we can assume theyre just being ghey as fuck
[11:58:49 PM PDT] appaloosa horse: i don't even know if i put the ,s in the right place because there's that many numbers
[11:59:04 PM PDT] mr video: looks about right
[11:59:29 PM PDT] mr video: i was wondering if i should include , since it looks a bit bigger without them but i can say it looks even more huge with
[11:59:43 PM PDT] mr video: thats a number so big i dont think theres a name for it
[11:59:50 PM PDT] appaloosa horse: i think we can simplify that to 7³⁶
Monday, 21 January, 2013
[12:00:09 AM PDT] appaloosa horse: or 7.36 i guess
[12:00:17 AM PDT] appaloosa horse: because there's 36 digits behind that 7
[12:00:24 AM PDT] mr video: only 36
[12:00:27 AM PDT] mr video: damn
[12:00:34 AM PDT] appaloosa horse: it's still absurdly huge
[12:00:34 AM PDT] mr video: i was hoping to land us a googol
[12:00:43 AM PDT] mr video: how much would it take to get one of those legendary fuckers
[12:00:50 AM PDT] appaloosa horse: uh
[12:01:03 AM PDT] appaloosa horse: i think a googol is 1 with a hundred zeros behind it
[12:01:07 AM PDT] mr video: it is
[12:01:15 AM PDT] mr video: adding an extra slot onto the tumblr filename added 2 extra digits
[12:01:21 AM PDT] mr video: so whatever.38
[12:01:31 AM PDT] appaloosa horse: 7.38
[12:02:19 AM PDT] appaloosa horse: oh wow i was about on with my number of sextillion
[12:02:20 AM PDT] mr video: 62^50 gets us
[12:02:27 AM PDT] mr video: 416470721148177771532676369918117947181737776340608755765950803371888848050241916448538624
[12:02:30 AM PDT] appaloosa horse: jesus
[12:02:36 AM PDT] appaloosa horse: but as i was saying
[12:02:38 AM PDT] mr video: hashes are powerful stuff
[12:02:48 AM PDT] appaloosa horse: i guessed the number would be in the high sextillion range
[12:03:05 AM PDT] appaloosa horse: sextillion is 10 with 36 zeros behind it
[12:03:25 AM PDT] appaloosa horse: wel
[12:03:27 AM PDT] appaloosa horse: on the long scale
[12:03:27 AM PDT] mr video: oh hush you only guessed sextillion because sex
[12:03:38 AM PDT] appaloosa horse: to us it'd be Undecillion or so
[12:03:51 AM PDT] appaloosa horse: which is the US and Canada's short scale
[12:04:13 AM PDT] appaloosa horse: europe uses the long scale for some reason
[12:04:28 AM PDT] mr video: because they are ass fuckin backwards
[12:04:30 AM PDT] mr video: fuck europe
[12:05:24 AM PDT] appaloosa horse: we have a name for ten with 3003 zeros behind it
[12:05:29 AM PDT] appaloosa horse: Millinillion
[12:05:48 AM PDT] mr video: googolplex
[12:06:00 AM PDT] mr video: 10 to the power of googol
[12:06:03 AM PDT] mr video: googolplexian
[12:06:13 AM PDT] mr video: googol to the power of googol
[12:06:21 AM PDT] appaloosa horse: 10(10100)
[12:06:35 AM PDT] mr video: googolplex is so long they say it would take up all of the universes resources to write it out
[12:06:40 AM PDT] mr video: or something like that
[12:06:52 AM PDT] mr video: just a pointlessly long number
[12:07:17 AM PDT] appaloosa horse: it's longer than the universe itself or somethin g]
[12:07:19 AM PDT] mr video: http://en.wikipedia.org/wiki/Googolplexian
[12:07:25 AM PDT] mr video: In the PBS science program Cosmos: A Personal Voyage, Episode 9: "The Lives of the Stars", astronomer and television personality Carl Sagan estimated that writing a googolplex in standard form (i.e., "10,000,000,000...") would be physically impossible, since doing so would require more space than the known universe provides.
[12:07:56 AM PDT] appaloosa horse: googleplex is so long in fact
[12:08:12 AM PDT] appaloosa horse: that it is longer than the time it will take for the universe to pretty much become a void
[12:09:13 AM PDT] mr video: "One Googol is presumed to be greater than the number of hydrogen atoms in the observable universe,"
[12:09:14 AM PDT] mr video: quite likely
[12:09:25 AM PDT] appaloosa horse: "1 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000"
[12:09:36 AM PDT] mr video: why is it spaced out by four
[12:09:39 AM PDT] mr video: thats fucking annoying
[12:09:44 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/-yllion
[12:09:46 AM PDT] mr video: my awesometism is tingling
[12:09:51 AM PDT] appaloosa horse: that'swhy
[12:09:58 AM PDT] mr video: http://en.wikipedia.org/wiki/Orders_of_magnitude_%28numbers%29
[12:10:31 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Orders_of_magnitude_%28numbers%29#Larger_than_.28one_googolplex.29
[12:11:11 AM PDT] mr video: oh also
[12:11:13 AM PDT] appaloosa horse: "AA(187196)(1)"
[12:11:19 AM PDT] mr video: about that universe becoming a void bit
[12:11:20 AM PDT] mr video: 3×1043 years from now: estimated time for all nucleons in the observable universe to decay, if the proton half-life takes the largest possible value (1041 years).[42] This is the Total Existence Failure of the entire universe, anything complex enough to be considered life that would care about it would likely have evaporated to nothing long before this. Out of all the above, this is the most likely.
[12:11:42 AM PDT] mr video: that's how the world will end
[12:12:00 AM PDT] mr video: so google is way bigger if you count years
[12:12:10 AM PDT] appaloosa horse: but yeah
[12:12:12 AM PDT] appaloosa horse: largest number
[12:12:13 AM PDT] appaloosa horse: "Mathematics: TREE(3): appears in relation to a theorem on trees in graph theory. Representation of the number is difficult, but one weak lower bound is AA(187196)(1), where A(n) is a version of the Ackermann function."
[12:12:25 AM PDT] mr video: the fuck
[12:12:31 AM PDT] mr video: i dont underrstand
[12:12:43 AM PDT] appaloosa horse: there are numbers larger than googolplex apparently
[12:12:45 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Orders_of_magnitude_%28numbers%29#Larger_than_.28one_googolplex.29
[12:13:46 AM PDT] appaloosa horse: wekk
[12:13:47 AM PDT] appaloosa horse: well
[12:13:56 AM PDT] appaloosa horse: besides graham's number of course
[12:14:05 AM PDT] mr video: was just about to link to that
[12:14:10 AM PDT] mr video: what the fuck does it even mean
[12:14:16 AM PDT] mr video: is it just some theoretical big ass number
[12:14:52 AM PDT] appaloosa horse: it's so large that power towers are worthless
[12:15:02 AM PDT] mr video: BUT WHY DOES IT EXIST
[12:15:06 AM PDT] mr video: WHAT WILLED IT INTO EXISTENCE
[12:15:16 AM PDT] appaloosa horse: "Graham's number, named after Ronald Graham, is a large number that is an upper bound on the solution to a certain problem in Ramsey theory."
[12:15:17 AM PDT] mr video: what is the cause of its creation
[12:15:21 AM PDT] appaloosa horse: that would seemingly be why]
[12:15:40 AM PDT] mr video: "Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of mathematics that studies the conditions under which order must appear. Problems in Ramsey theory typically ask a question of the form: "how many elements of some structure must there be to guarantee that a particular property will hold?""
[12:15:41 AM PDT] mr video: what
[12:15:45 AM PDT] Brandon: OH MY GOOD
[12:15:45 AM PDT] Brandon: https://youtu.be/oHg5SJYRHA0?t=19s
[12:16:12 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Graham%27s_number#Definition
[12:16:17 AM PDT] appaloosa horse: look at all of that complex math
[12:16:25 AM PDT] Brandon: oh ok
[12:16:27 AM PDT] Brandon: fags in here
[12:16:27 AM PDT] Brandon: bye
[12:16:29 AM PDT] mr video: I DONT UNDERSTAND ANY OF IT
[12:16:33 AM PDT] mr video: fuck u brandon
[12:16:35 AM PDT] appaloosa horse: it looks like even wikipedia has a hard time
[12:16:44 AM PDT] appaloosa horse: trying to explain graham's number
[12:16:53 AM PDT] appaloosa horse: just because of how large and complex it is
[12:17:03 AM PDT] appaloosa horse: limke
[12:17:05 AM PDT] appaloosa horse: http://upload.wikimedia.org/math/4/6/7/467a1c5c71e418299c86644fa7988bcb.png
[12:17:06 AM PDT] appaloosa horse: look at that
[12:17:17 AM PDT] appaloosa horse: http://upload.wikimedia.org/math/0/6/6/066e4055b463494576cf17a2299117af.png
[12:17:19 AM PDT] appaloosa horse: and that
[12:17:25 AM PDT] mr video: this ramsey theory bullshit makes no sense
[12:17:27 AM PDT] mr video: none at all
[12:17:44 AM PDT] mr video: what does "how many elements of some structure must there be to guarantee that a particular property will hold?" have to do with some big ass number
[12:18:58 AM PDT] mr video: For every n, there is an m so large that if T1,...,Tm is a finite sequence of trees with vertices labelled from a set of n labels, where each Ti has at most i vertices, then Ti ≤ Tj for some i < j.
[12:19:07 AM PDT] mr video: i dont know WHAT the fuck is going on
[12:19:23 AM PDT] mr video: my brain gets all tingly when i read shit like this
[12:19:25 AM PDT] appaloosa horse: only someone with a comprehensive knowledge of math is
[12:19:32 AM PDT] appaloosa horse: would know what that means
[12:19:33 AM PDT] mr video: is this the feeling of soaking up worthless knowledge is like
[12:20:05 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Koch_snowflake
[12:20:22 AM PDT] mr video: ooh
[12:20:23 AM PDT] mr video: fractals
[12:20:41 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Fractal
[12:21:45 AM PDT] appaloosa horse: oh jesus unholy christ
[12:21:46 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Mandelbrot_set
[12:21:52 AM PDT] appaloosa horse: look at all that math for a fractal
[12:22:19 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/d/d7/Mandel.png
[12:22:23 AM PDT] mr video: The first picture of the Mandelbrot set, by Robert W. Brooks and Peter Matelski in 1978
[12:22:25 AM PDT] mr video: lol what
[12:22:29 AM PDT] mr video: it started off as ascii art?
[12:22:37 AM PDT] appaloosa horse: guess so
[12:22:48 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/b/b4/Verhulst-Mandelbrot-Bifurcation.jpg
[12:22:52 AM PDT] mr video: holy shit what
[12:23:10 AM PDT] mr video: the further you scroll the crazier the images and shit get
[12:23:27 AM PDT] appaloosa horse: because the mandelbrot is essentially infinate
[12:23:51 AM PDT] mr video: well yeah i knowWHOA
[12:23:52 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/8/89/Mandel_zoom_10_satellite_seehorse_valley.jpg
[12:24:11 AM PDT] mr video: it's like a big world in this fractal
[12:24:14 AM PDT] mr video: jesus fucking christ
[12:24:26 AM PDT] appaloosa horse: it
[12:24:27 AM PDT] mr video: apparently these are parts and sections of the mandlebrot
[12:24:30 AM PDT] appaloosa horse: 's so small
[12:24:33 AM PDT] appaloosa horse: and yet so huge
[12:24:48 AM PDT] appaloosa horse: such is the nature of fractals
[12:25:43 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/6/6a/Julia-set_N_z3-1.png
[12:25:52 AM PDT] appaloosa horse: the julia set
[12:26:09 AM PDT] appaloosa horse: oh jesus christ
[12:26:13 AM PDT] mr video: isnt it like a simpler mandlebrot
[12:26:19 AM PDT] appaloosa horse: i guess
[12:26:38 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Julia_Set#Examples_of_Julia_sets
[12:27:17 AM PDT] appaloosa horse: i like how complex the articles for fractals are
[12:27:51 AM PDT] appaloosa horse: http://upload.wikimedia.org/wikipedia/commons/5/5e/Karperien_Strange_Attractor_200.gif
[12:28:54 AM PDT] mr video: wat
[12:30:25 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Sierpinski_triangle
[12:31:34 AM PDT] mr video: oh boy this
[12:31:56 AM PDT] mr video: the 3d one is impressive
[12:31:57 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/b/b4/Sierpinski_pyramid.png
[12:32:05 AM PDT] mr video: coooooooooooool
[12:32:41 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Burning_Ship_fractal
[12:33:09 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/1/1b/Burning_Ship_Deep_Zoom_2e-50.jpg
[12:33:12 AM PDT] mr video: whoa what the shit
[12:33:19 AM PDT] mr video: it's like some lovecraftian nightmare
[12:33:43 AM PDT] appaloosa horse: well
[12:33:57 AM PDT] appaloosa horse: what can you expect from a fractal?
[12:34:20 AM PDT] appaloosa horse: it's small yet large at the same time
[12:34:31 AM PDT] appaloosa horse: it's essentially lovecraftian by itself
[12:35:40 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Nova_fractal
[12:35:43 AM PDT] appaloosa horse: oh jesus
[12:35:57 AM PDT] appaloosa horse: now that
[12:36:03 AM PDT] appaloosa horse: that is lovecraftian
[12:36:14 AM PDT] mr video: whoa fuckl
[12:36:33 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/File:NovaMaster_coral_romanesqueo.png
[12:36:37 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/1/13/NovaFractal_relaxation.real-3.0.png
[12:36:39 AM PDT] mr video: ILLUMINATI
[12:37:20 AM PDT] appaloosa horse: the image i linked to is "A 129804.49 times magnification"
[12:37:30 AM PDT] appaloosa horse: 129,804 times magnification
[12:37:44 AM PDT] appaloosa horse: but it still goes on
[12:37:58 AM PDT] mr video: whats in those bits then
[12:38:06 AM PDT] appaloosa horse: probably even more
[12:38:24 AM PDT] mr video: so it stops being all triangular and shit and just blows up into spiral chaos
[12:38:26 AM PDT] mr video: whoaaaa
[12:38:31 AM PDT] appaloosa horse: basically
[12:38:40 AM PDT] mr video: i gotta get some of this fractal art software
[12:38:44 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Lyapunov_fractal
[12:38:55 AM PDT] mr video: bwoa fuck
[12:38:56 AM PDT] mr video: what
[12:39:21 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/b/b2/Lyapunov-fractal-AB.png
[12:39:36 AM PDT] mr video: it looks like the arcetecture youd see at a pretentious hipster school
[12:40:21 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Menger_sponge
[12:40:35 AM PDT] mr video: that burning ship fractal is fascinating
[12:40:36 AM PDT] mr video: http://upload.wikimedia.org/wikipedia/commons/0/03/Burning_Ship_3e-9.jpg
[12:40:38 AM PDT] mr video: especially this
[12:40:56 AM PDT] mr video: oh menger sponge
[12:41:09 AM PDT] mr video: a bit of a simpler one
[12:41:29 AM PDT] mr video: i like how wikipiedia gives a big mathematical explanation to the simpler ones like serpenski
[12:41:40 AM PDT] mr video: when it's just triangles stacked on triangles
[12:41:51 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/File:Cantors_cube.jpg
[12:42:06 AM PDT] mr video: wat
[12:42:39 AM PDT] appaloosa horse: the cantor set
[12:42:44 AM PDT] appaloosa horse: http://en.wikipedia.org/wiki/Cantor_set

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