EPT1/3 = 0.333...
0.333 * 3 = 0.999...
1/3 * 3 = 1.
... or you could just have gone to the wiki page for it.
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mrmin123
Korea (South)2971 Posts
1/3 = 0.333... 0.333 * 3 = 0.999... 1/3 * 3 = 1. ... or you could just have gone to the wiki page for it. | ||
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eChoWns
Germany168 Posts
On May 14 2007 10:48 Storchen wrote: These evidences are overwhelming! Why Blizzard? Pokemon is so passé! LOLahahahahhah | ||
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CubEdIn
Romania5359 Posts
So this is clearly a matter of infinite numbers. You can make all sorts of approximations that way. Just look at things like infite x infinite = infinite. Also, infinite x 1 = infinite. So does that mean that 1 = infinite? No. It's just that you're working with numbers that are too large to comprehand. 0.999 has that 9 repeated a whole lot of number of times. So even if it's not 1, it's pretty goddamn close. So a 0.999... = 1 convention is not outrageous as saying 9=10. It's just one of those cute things like 0 x infinite = impossible. Because normally it would be 0, but the infinite is SO BIG, that it should be something (lol, gotta love maths), or infinite / infinite, 1 at the infiniteth power, etc. I like to say infinite. | ||
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funkie
Venezuela9376 Posts
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TheOvermind77
United States923 Posts
First we will set up the infinite series to deal with this: ∞ E (.9)(.1)^k k=0 This means we have .9 + .09 + .009 onto infinity, or .9999.... This is also a geometric series with r=.1 and a=.9. The sum of an infinite geometric series is a/(1-r) So .9/(1-.1)= .9/.9= 1 Trust me, I've done this a thousand times in class. .9999999... DOES equal 1. | ||
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funkie
Venezuela9376 Posts
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TheOvermind77
United States923 Posts
On May 14 2007 11:52 funKie wrote: It's still an aproximation. No, it's a sum. Get educated before you argue that. | ||
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decafchicken
United States20166 Posts
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TheOvermind77
United States923 Posts
On May 14 2007 11:53 decafchicken wrote: wasn't there a variation of that that ended up 9=10? If you mean 9.99999999... then yes? THe problem is you can't just do an infinite sum with just 9...because then it is just...9... Geometric series are usually used to show how to represent certain numbers as fractions like 1.345345345.....they can all be done using infinite series. | ||
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vin~
Trinidad/Tobago7 Posts
On May 14 2007 11:50 TheOvermind77 wrote: It is equal to one. Here, let me use calculus to show you. First we will set up the infinite series to deal with this: ∞ E (.9)(.1)^k k=0 This means we have .9 + .09 + .009 onto infinity, or .9999.... This is also a geometric series with r=.1 and a=.9. The sum of a geometric series is a/(1-r) So .9/(1-.1)= .9/.9= 1 Trust me, I've done this a thousand times in class. .9999999... DOES equal 1. im sorry but where was the calculus in that? isnt that just AP's and GP's? and "The sum to infinity of a geometric series is a/(1-r)" fixed the sum of a GP is different to the sum to infininty On May 14 2007 11:52 funKie wrote: It's still an aproximation. it's a sum because the .999 goes on with more 9's FOREVER...~ On May 14 2007 11:43 CubEdIn wrote: It's just one of those cute things like 0 x infinite = impossible. Because normally it would be 0, but the infinite is SO BIG, that it should be something hmm but ... no matter HOW big the number is it will still be zero.... | ||
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aseq
Netherlands4001 Posts
Or maybe Blackthorne 2 or RPM Racing 2. And blizzard is a hype machine. Do any of you think it's possible to find out what the answer is (like a notpron puzzle or something)? | ||
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TheOvermind77
United States923 Posts
On May 14 2007 11:57 vin~ wrote: im sorry but where was the calculus in that? isnt that just AP's and GP's? and "The sum to infinity of a geometric series is a/(1-r)" fixed the sum of a GP is different to the sum to infininty it's a sum because the .999 goes on with more 9's FOREVER...~ Understanding how many of those equations are derived and other specifics about infinite series requires a use of calculus, more specifically limits. Geometric series alone, I suppose, could be taught without calculus, but you won't find it in a class alone like that...you will probably find it in a Cal II or III class. It is considered calculus material due to its relation to infinity and limits. Reimann sums... | ||
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vin~
Trinidad/Tobago7 Posts
i did GP's as just GP's .... wiith no calc in it >_> | ||
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CubEdIn
Romania5359 Posts
On May 14 2007 11:57 vin~ wrote: hmm but ... no matter HOW big the number is it will still be zero.... According to common sense? Sure. But according to algebra it's a "special case", or an impossible scenario (i don't know what the exact translation is), and the expression that contains this scenario will have to be modified in order to solve it. As I said, there are different things that can't be sovled like 1 at the infinith power, or infinite devided by infinite. Multiplying 0 with infinite is about the same thing as trying to devide by 0. Sounds simple, but it can't be done. Of course, you're working with theoretical numbers, so don't expect them to obey the standard rules. We in Romania learned about these (limits, derivation, integration - i sure hope that's an accurate translation) in high-scool, and then moved on to more complicated things like the Reinmann sums in colege. So you could know about limits and such without learning calculus.  | ||
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TheOvermind77
United States923 Posts
Back on topic: It is going to be starcraft II WOOOHOOHO! | ||
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oneofthem
Cayman Islands24199 Posts
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vGl-CoW
Belgium8305 Posts
ahahahahaha | ||
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SnoopySnacks
Tarsonis903 Posts
end of debate im always right. | ||
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sanenrespectful
21 Posts
and somebody collect all the images please. | ||
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dronebabo
10866 Posts
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![[image loading]](http://img114.imageshack.us/img114/2558/bgxl5.jpg)
