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82 Comments
- LR2_, on 10/11/2007, -11/+127@subman697 (#7018495)
Because the number is spelled Googol?
http://en.wikipedia.org/wiki/Googol - inactive, on 10/11/2007, -28/+140Why the hell can't GOOGLE count to a GOOGLE?!?!?!
I am filing a false advertising claim NOW! - DeskFlyer, on 10/11/2007, -3/+78I still can't find my damn car keys.
- inactive, on 10/11/2007, -0/+52@subman697
The author says that Google can handle numbers on the order of 10^308 ... A "Googol" is only 10^100.
Who were you going file the false advertising claim with anyway? - inactive, on 10/11/2007, -5/+55You're easily scared, aren't you?
- godmode, on 10/11/2007, -1/+42The website's mathematical limit was 100 diggs until death.
- geuisteses, on 10/11/2007, -4/+44q) What is the mathematical limit of visitors for http://www.geekwithlaptop?
a) 10 - brianez21, on 10/11/2007, -1/+31http://www.geekwithlaptop.com.nyud.net:8080/googles-mathematical-limit/
Slow, but it works.
Google’s Mathematical Limit
June 1, 2007 - 9:50 pm - Posted by Sean
How high can Google count? Very high it turns out but there is a limit.
Using the Google search box as a calculator, Google’s ceiling appears to be 2.00135558564^1023, which Google says equals 1.79769313 × 10^308.
Try 3^1023 and you get the search results page instead of a calculated result. The same holds true for 2^1024.
Increasing the number to 2.001355585641^1023 results in the same total, 1.79769313 × 10^308. So that appears to be where Google stops calculating.
Does that mean anything?
Not to me and probably not to anyone else, apart from a few computer scientists… but knowing that Google has a limit is somehow comforting. - lokier, on 10/11/2007, -1/+24Google bites the lollipop on the third count.
- negativefx, on 10/11/2007, -2/+24should change his domain name to www.geekwithlaptopwebserver.com
- blog4charity, on 10/11/2007, -15/+34This is Spartaaaaaaa
- speedk0re, on 10/11/2007, -3/+21wonder how he found this out....
1
nooooo
2
noooooo
... - Octtopsy, on 10/11/2007, -1/+17I tried this once. I eventually got so bored, that I gave up and headed to Bed Bath and Beyond to buy chiffon pillowcases instead.
- szym, on 10/11/2007, -1/+17Burried as lame.
http://en.wikipedia.org/wiki/IEEE_754#Double-precision_64_bit - esotericguy, on 10/11/2007, -5/+20BLASPHEMY!
- zachblume, on 10/11/2007, -2/+16As noted in the comments of the article, that the reason Google can't "count" any higher than that is that 1.7976931348623157×10^308 is the highest a 64-bit integer can go, in the most commonly used standard.
- pyro789x, on 10/11/2007, -3/+16With further research, it looks like the highest number it works with is greater than
2.00135558564^1023*1.00000000426249
and less than
2.00135558564^1023*1.0000000042625
I'd do more research, but I don't care enough. - pyro789x, on 10/11/2007, -9/+22MADNESS
- JebJoya, on 10/11/2007, -0/+9Quote: "I won't be happy until they reach a googolplex" (the highest known number with a name)
The highest known number with a name, eh? Well, what about Graham's Number: http://en.wikipedia.org/wiki/Graham%27s_number - Definitely got a name, and most definitely bigger than a googolplex. It has been used in mathematical proof (as an upper bound of something, which is thought to equal 6... Bit of a rubbish bound, it has to be said!). This number is inconceivably humongous, and kicks Graham's Number right off the map. Also, ref an xkcd comment (Horrifying mathematicians by calling the Ackerman Function with Graham's Number: http://en.wikipedia.org/wiki/Ackerman_function , http://xkcd.com/c207.html )
Jamie - niardica, on 10/11/2007, -3/+9Geek without bandwidth.
- zachblume, on 10/11/2007, -0/+5Hey subman, search for "googol+1"
- gmprunner, on 10/11/2007, -4/+9Remember kids, a Nintendo 64 doesn't make a very good server. Go with a PlayStation 2 instead, the 8 MB memory card should provide you with adequate storage space.
- pferdestarke, on 10/11/2007, -0/+4Hey this is the exact same limit for Matlab 7 and MathCAD. i guess it IS the maximum size for a 32-bit Double precision floating point
- phenolholic, on 10/11/2007, -0/+4i took a linear algebra class. they explained how google uses its search and page rank in its engine. its all matrix algebra. its funny how such a novel mathematical concept single handedly is responsible for a whole flagship of whats occuring and whats to come.
- Homunculiheaded, on 10/11/2007, -1/+4I was wondering if in fact the digg community was amazed that a finite machine has a reachable limit, which actually happens to be a pretty standard value. Shocker of shocker the max value for a double in Java is also 2^1023, sounds like a conspiracy to me!
- Octtopsy, on 10/11/2007, -2/+4...
By the time I reached 7441, that was the time I went out to buy chiffon pillowcases. - hardcle, on 10/11/2007, -0/+2What surprises me is that no one's figured this out before.
- deathguppie, on 10/11/2007, -0/+1jebjoya said:
"The highest known number with a name, eh? Well, what about Graham's Number:"
Ha.. I have you beat for sure.. what about Aleph..
http://en.wikipedia.org/wiki/Aleph_number
And if that isn't enough for you I can easily go Aleph^Aleph so :P - XenonofArcticus, on 10/11/2007, -0/+1Google for DBL_MAX.
http://en.wikipedia.org/wiki/Float.h - Derrekito, on 10/11/2007, -4/+5strange day for digg...
- JebJoya, on 10/11/2007, -0/+1Woah, saying infinity is not a number is a tricky issue. Define what you mean by a "number." Imagine we took the set Rcup{infty} (the real number line with infinity), and defined a topology on the set using the old 1/z thing (open sets containing 0, with all numbers reciprocated). Clearly infinity is a member of this topology, and in fact it works with arithmetic operators.
I'm not a big fan of the very vague definition of number, I mean, is Pi a number? It doesn't actually represent anything in the real world (I'm talking about numbers being defined as sets of things with that property - so 3 apples are in the set of 3, 1/2 a pie is in the set of 1/2), but it exists as the mathematical limit of these Quotients. Similarly, infinity exists in the same way as being the mathematical limit of the set of quotients 1, 2, 3, 4, ..., so why not include it? - blog4charity, on 10/11/2007, -2/+3mirror
http://www.halfzerocan.com/google-mathematical-limit/ - inkyblue2, on 10/11/2007, -2/+3"each number after the carrot raises the whole number to a power of ten."
augh! no carrot for you. you get stick. - thebru, on 10/11/2007, -0/+1You cared enough to comment...
- JebJoya, on 10/11/2007, -0/+1Hmm, just realised a potential flaw in what i said - a Googolplex is the largest number with a (potentially) standardised name... Maybe... Would need to do more research to check.
And while I'm at it, let BB^n(x) = BB_{BB_...(n times){BB(x)}...}(x), and consider BB^{BB(A(g_64,g_64))}(A(g_64,g_64)) - Pacificblue, on 10/10/2007, -0/+1Hey, its all so simple here in computers
0
or
1
;) - inactive, on 10/11/2007, -0/+1Good, now that I know the highest number able to be stored in a 64 bit floating point number, I can sleep easy. Thanks Digg.
- JebJoya, on 10/11/2007, -0/+1TBH I was giving an example of a bigger number with a name. If you read a few comments above, I talk about definitions of "number," worth a read.
Oh, and also, Aleph itself is not an infinity, aleph_0 is (infinity of the natural numbers), and if you're talking about that, then I'd far rather have aleph_aleph_0 than aleph_0^{aleph_0} :) - nubnub, on 11/09/2009, -0/+1This is better
2.00135558564^(-1 024) = 0
http://www.google.com/search?hl=en&safe=off&am ... - Stevethegreat, on 10/11/2007, -1/+2Infinity is NOT a number, it's anything beyond recognition (too far/too large for our senses to understand). Pure arithmetics, infinity's pushed further and further out by modern theoretical mathematics, then again if there is a physical infinity we will never reach it, there will always be something beyond our computational and cognitive limits.
- inactive, on 10/11/2007, -1/+2@Deskflyer
"I still can't find my damn car keys"
Wait a couple of years with Google:
http://digg.com/tech_news/Is_Google_Secretly_Creating_an_Artificial_General_Intelligence_in_house - markdr123, on 10/11/2007, -0/+1Lets see... "Since a googolplex is one followed by a googol zeroes, it would not be possible to write down or store a googolplex in decimal notation, even if all the matter in the known universe were converted into paper and ink or disk drives."
No chance. - wbbb617, on 10/11/2007, -2/+2its a tootsie roll joke you idiot
- cjpro, on 10/11/2007, -1/+1"Wow, did he get that wrong. Froogle isn't even around today."
http://www.froogle.com - Sepeteus, on 10/11/2007, -1/+1Google and their puny computers. My calculator can count to 5.1261676103*10^499. Therefore my calculator's math penis is bigger than Google's.
And I can count even bigger numbers on paper. If I wanted to. I'm not kidding. Just believe me. - Woah_G!, on 10/11/2007, -0/+02.00135558564^1 023 = 1.79769313 × 10^308 = 17976931300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000 ? - inactive, on 10/11/2007, -2/+2Er, that's just the limit imposed by the programming language....
From the comments:
"Thats the maximum size for a 32-bit Double precision floating point. I imagine, since Google uses 64-bit systems, that their limit is much much higher, however I don’t feel like siting down and figuring out the maximum size for a say 16-byte double…" - Bob042, on 10/11/2007, -5/+3Here you go.
http://www.flickr.com/photos/thevoyagers/518750492/ - pyro789x, on 10/11/2007, -7/+6Google doesn't have tears; it's a search engine.
I suppose it could FIND the cure for cancer, but that's only after somebody else finds it first. - peter337, on 10/11/2007, -3/+2who the ***** cares
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