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If you subtract 0.999.... from 1 you get an infinitesimal value { x | x > 0 && x < { http://upload.wikimedia.org/math/6/9...41811fd226.png } }Quote:
Originally Posted by Raistlin
I'm not going to waste your time with limits and other crap. 0.999.. = 1 is an equation. I am disproving the equation by defining 0.999.. differently.
QED
If you define 0.999... differently then it's no longer 0.999.... If it's not a decimal followed by an infinite series of nines, then of course it doesn't equal one. You could redefine any number to equal whatever the hell you want it to. But with that definition, if you subtract it from 1, the answer is 0, and therefore they are equal.
nop I'm not defining 0.99... differently I'm saying 1 - 0.99... is infinitesimal QED asians!Quote:
Originally Posted by Raistlin
If by "infinitesimal" you mean "zero," then you are correct. Otherwise you are clearly and objectively wrong, and you know that because you're just an azn troll. Quod erat demonstrandum.
.9 repeated is not one. However, they both act as the same number unless pushed to extreme circumstances. For example .9 repeated raised to an infinite power would be 0, while 1 to the infinite power is an indeterminate form, and while it may be zero as well it must be dealt with on a case by case basis.
Here is my reasoning that .9 repeated to the infinite power converges to zero.
Given that k >= 0
If that n is a real number -1 < n < 1 and n =/= 0
Then nk > nk+1
The first 5 iterations of this with n =.5 are as follows.
.5, .25, .125, .0625, .03125 .....
A love math :quina:
I'm not a troll.Quote:
Originally Posted by Raistlin
And no I already defined infinitesimal as a real number that is less than all real numbers and greater than 0.
A real number minus a real number cannot be a non-real number, at least in our current number system. You can invent another one if you want.
This is where your assumption breaks down, because 0.999... is not less than 1. It is exactly 1, and you have not demonstrated otherwise. This has been firmly established for a long time. Raising it to an infinite power is no different than raising 1 to an infinite power.Quote:
Originally Posted by qwerty
The real question is, that if the two numbers are identical, and work indentically in every circumstance:
Why do people continue to use .999... when 1 is so much easier to type, and why does this discussion continue to pop up?
If those two symbols are proven to mean the same thing, then just use the simpler one. That's why we use Leibniz's notation instead of Newton's. The only reason you have to use .999... over 1 is because you are wanting to cause pointless discussion and commentary of the subject.
This is a remarkably pointless question. What do you mean "continue to use"? I'm pretty sure no one writes out "0.999..." instead of "1" when working on a basic problem. Of course, it can be the first answer reached in certain other problems. Why do people ever use 2/2 or 5/5 for 1? Or 0.3-bar instead of 1/3? Just because an answer can be "simplified" to a different symbol which means the same thing doesn't mean the original number is invalid. If you are using calculus working on an infinite series, or working with rational infinitely-repeating decimals, 0.999... may well be an answer you get to first before "reducing" it to 1 -- although the decimal or fraction form may be easier to work with in some of those calculations.Quote:
Originally Posted by Skyblade
And this discussion continually becomes up because some people are too irrational to accept something that goes against their initial knee-jerk reaction. And this can be entertaining for the rest of us.
.9 repeated is used in number theory.
Also Raistlin have you ever attempted to solve the birthday problem?
What is the smallest group of people required so that it is more likely than not that one person has the same birthday as another?
Dear Everyone Who Has Posted In This Thread; Past, Present, Future:
smurf you. Sincerely, a giant smurf you. I hope something terrible happens to you. However, I'm going to extend that desire to your entire family and circle of friendship as well. I hope a meteor made entire of :bou::bou::bou::bou:, dropped from a 747, bursts into your home while you are sleeping, dreaming of puppies and kittens, or some other cute :bou::bou::bou::bou:, and completely destroys everything you love and value. I hope, beyond hope itself, that a centaur magically appears out of some smurfing fairy tale, and violates you with it's giant human-horse dong. There is also a small desire that you lose a leg or two, in addition to your left arm and most of the fingers on your right hand, in an accident possibly involving a beaver. I sincerely wish this upon all of you dickbags for what travesties you have committed by being involved in this, or any form of this thread.
Triple Sincerely Yours (with love in my heart and a hate-fueled rifle in my hand),
Bunny von Trapp
P.S. Math sucks.
And here are the entertaining reactions I was speaking of. http://www.thegamersalliance.net/for...ilies/pimp.gif
Yes, I've heard of this probability problem, but it doesn't really have anything to do with this issue. Are you just posing it as another interesting math problem? I prefer the Monty Hall problem if I wanted to blow people's minds.Quote:
Originally Posted by qwerty
(SPOILER)You always switch doors.Quote:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?
I hope this happens to me too :love:Quote:
Originally Posted by Bunny
Also hahahahaha the Monty Hall problem is going to make people rage, Wes.
To add to the 0.99.. thread here:
Please to tell me the value difference of the following numbers:
1
1.0
1.0000
1.000000
1.000000000000000000000000000000
1.000000000000000...
What do you mean they mean the same? BUT THEY ARE DIFFERENT NUMBERS LOSAFLSDJO ASL
I wasn't being facetious in the other thread but I am here.
I know, that's why I love it so much. Wikipedia says the magazine that first published it got thousands of letters saying how wrong it is. I hated statistics class for some of its largely arbitrary equations, but I love some of the counter-intuitiveness of probabilities.
EDIT: in response to MILF.
1/2 > 1/3Quote:
Originally Posted by I'm my own MILFI hope this happens to me too :love:Quote:
Originally Posted by Bunny
Also hahahahaha the Monty Hall problem is going to make people rage, Wes.
ergo you switch doors.
It's actually 2/3 > 1/3 (the probabilities have to add up to 1, remember), but yeah, you're right in the result. It's a little bit more intuitive if you think that the odds of the car being behind door number 2 equal the odds that you were wrong in your first choice (2/3).
damnit now I have to relearn math. This thread is not asian friendly :aimmad:Quote:
Originally Posted by Raistlin
What if you change but it's behind door number 1 and then everybody laughs at you?
lol asians and their math still failed to get the prize.Quote:
Originally Posted by eternal essence
why don't you just make a thread called "LoL aznz luvz teh mathz" and just put all your nonsensical math crap in there? :D
Friends and I are joking about going to VT to go skiing :DQuote:
Originally Posted by Bert
0.999... is clearly an infinite .000...with a 1 tacked on the end away from 1 itself.
*applause*Quote:
Originally Posted by Bunny
You're all nerds.
I'm too stupid to be one :(Quote:
Originally Posted by Shorty*applause*Quote:
Originally Posted by Bunny
You're all nerds.
It's okay. You're azn, so you make up for it.
Hahahahaha I love how you talk as though you can judge. You unwashed hippy.Quote:
Originally Posted by Shorty*applause*Quote:
Originally Posted by Bunny
You're all nerds.
Hippies are superior to the rest of you. We don't need math in our daily lives.
wasn't going to post in this thread after Bunny's perfect post but I'm sorry, this kind of bollocks is not going to be posted on my Eyes on Final Fantasy.Quote:
Originally Posted by Shorty
You're just going to have to come to terms with reality.
In which "reality" is a fantasy version of the real world that exists in Shorty's mind.
Then you got smurfed by probability and you just take it like a good boy.Quote:
Originally Posted by eternal essence
I don't understand the issue with these two problems, unless you suck at math. :p
Different levels of precision. Each additional zero, inherently a significant figure, indicates a greater certainty about the value.Quote:
Originally Posted by Peegee
Incorrect - 1 == 1.0000000000....Quote:
Originally Posted by rubahDifferent levels of precision. Each additional zero, inherently a significant figure, indicates a greater certainty about the value.Quote:
Originally Posted by Peegee
Trailing zeros are significant figures in that they signify a higher level of precision. But that additional precision does not change the value. Also, that precision is not relevant in doing hypothetical calculations, because when you say "1" it clearly implies "1.000...." They would be much more relevant in practice when doing calculations based on measurements.
Really, PG, if you're going to be azn you should be able to counter some trolling attempt from someone who's not only non-azn, but also has female parts. You shame your ethnicity.
very good, westlin! You pulled out the measurements word!
make me a sammich you baby making womanQuote:
Originally Posted by rubah
>But that additional precision does not change the value
THAT
>measurement
THAT IS ALSO TRUE
I am not contending that 5.58333583 * 2 = 11. You specified that many decimal places, your answer has that many decimal places.
I'm condending that 1 = 1.00000000 = 1.0000000... and you cannot disagree that the value of the numbers are the same.
derp a herp.
Or soap.Quote:
Originally Posted by Shorty
stfu hippies = god ;)
I was worried this thread was about Wesley sex. Thank god.
I am really concerned when people bring up Welsey's sex life in a discussion about math. My only conclusion can be this: someone is trying to distract us from the math, the math where he is wrong and where .999... and 1 are two disparate numbers.
.999.. is infinitely not 1, but instead infinitely close but never 1. It needs a .000...1 to make it 1, but can never get it. Thus, 1 =/= .999...
.999... = nonsense^2
Yeah well solve this!!!
Why in smurf's name did you bring this up? I blame you for all the world's problems.Quote:
Originally Posted by Raistlin
Surely the answer is "No, it is not to your advantage"? The chances of the car being behind door one or door two are the same. If you stay with door one, you have a one in two chance of it being a car. If you go to door two, you still have a one in two chance of it being a car. Equal chance? No advantage.Quote:
Originally Posted by Raistlin
I'm only asking because it seemed really easy to figure out. Waiting for some kind of trick question surprise to show I'm wrong somehow. =|
EDIT: Just read up on it on Wikipedia, very interesting! Never thought about it that way. :)
Probability questions are often much more than what they seem. Also it is more advantageous to switch because before a door is opened, each door has a 1/3 probability to have the car, making it a 2/3 chance it does not have the car because it is behind door 2 or 3. Opening an incorrect door does not change the fact that there is a 2/3 chance the car is not behind 2 or 3. You know that there is no car behind 3, so there is a 2/3 chance it is behind door 2.Quote:
Originally Posted by Loony BoBSurely the answer is "No, it is not to your advantage"? The chances of the car being behind door one or door two are the same. If you stay with door one, you have a one in two chance of it being a car. If you go to door two, you still have a one in two chance of it being a car. Equal chance? No advantage.Quote:
Originally Posted by Raistlin
I'm only asking because it seemed really easy to figure out. Waiting for some kind of trick question surprise to show I'm wrong somehow. =|
EDIT: Just read up on it on Wikipedia, very interesting! Never thought about it that way. :)
You're... not going to argue about it for 3 pages like in the first 0.999... = 1 thread? I am so proud of you. *tear*Quote:
Originally Posted by Loony BoB
It is no surprise that people are more interested in me naked than in math. Just look at the mileage pictures of me have gotten around here.Quote:
Originally Posted by Lynx
naked > math
Naked + math = awesome
cat cat cat cat cat cat cat cat
mushroom mushroom
Why would I ever need to know that .999... = 1? What will that help me with? How often do you get .999... in an equation instead of 1 anyway? Is it just to let me know that I can round up to 1 if I ever see .999...?
Should this be taught in schools? D:
Edit: Or maybe it's just for fun. :3
1/3 = 0.3333...Quote:
Originally Posted by Kentarou
0.333...*3 = 0.999...
1/3 * 3 = 1
0.999.. = 1
QED
Apparently you guys don't need deodorant either, but we both know that's not true.Quote:
Originally Posted by Shorty
Depends what type of math ;OQuote:
Originally Posted by NorthernChaosGod
Differential calculus. :quina:Quote:
Originally Posted by DarkBahamutDepends what type of math ;OQuote:
Originally Posted by NorthernChaosGod
Anything more precise than a planck unit is meaningless.
I agree with the title of this thread. Wesly, where the hell are you, get online and entertain me :\ I'm procrastinating so hard I'm posting here~
You certainly don't need my help to procrastinate, twerp.
pi = 22/7
In high school, I struggled my way through Algebra and Geometry.
Derp.
Proposition to rename wonder square to "nerds paradise" and to lock Qwerty, PG, Raistlin and any others who seriously tried to answer the maths problem in there permanently where no other members dare to go and they can never get out of.
and put Steve in there for being a snitch.Quote:
Originally Posted by Iceglow
Seconded.Quote:
Originally Posted by Peegeeand put Steve in there for being a snitch.Quote:
Originally Posted by Iceglow