Quote (Taxidermy @ Apr 11 2010 06:01pm)
i suppose, but what i wrote is absolute convergence of the norm squared
so basically its (1-0.999...)^2 <epsilon
which is inherently a better argument than 1-0.999... < epsilon imo
but thats just me being picky probably
i see you've taken a bit of analysis
Never taken a class, I self-taught. . . atleast tried. I've got a .djvu copy for Rudin's "Principles. . ." but math is so hard to read if you haven't heard it out loud while you're staring at it at the same time in the past. I learned a bit from these video lectures
http://cmes.uccs.edu/Fall2006/Math431/archive.php?type=valid
If anyone's interested, I can send them a copy of the book.
Quote (Magikarpet @ Apr 11 2010 09:52pm)
You persons believe that .999 infinite = 1 which is an impossible comparison, because u would have to make 1 infinite also to make a fact of math, can you not see the reasons behind this? maybe if we were talking science it would = 1, but every1 is talking bout math, and in math 1=1 .99infinite=/1. Sorry for crushing you philosophy, and I'm not trying to flame or troll, and why is my opinion so much worse than yours?
1 technically is... 1 = 1.000000000000000......
Quote (Taxidermy @ Apr 11 2010 06:31pm)
the ^2 was taking the role of | |
i like using norm squared is all
altho i see what you are saying
^ This.
Quote (Taxidermy @ Apr 11 2010 09:59pm)
uhm... its called an infinite sum :
0.9+0.09+0.009+0.0009+...=0.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
=1
your opinion is worse than mine because I am a math major and you are not
No, it's worth more 'cause you know what you're talking about. I'f my retarded aunt Sally was a math major, I still wouldn't trust her on the issue. When you got a math degree, then your opinion is worth more. Technically, this isn't a matter of opinion, but fact. I wouldn't trust a persons "opinion" on math unless they were a dr. of philosophy of math.
Quote (CPK001 @ Apr 12 2010 03:46am)
No, it was right. ISO your rebutt.
0.999..=1 does not equal 1 because it's rounded because 9 is closer to 10 than it is to 1, 0.999=1 because 0.999=1 and nothing else: no rounding involved. If you were using this argument to say that 0.999... is the same as 1 because if you round it, it must be 1 than you can't say 0.999...=1, you can only say 0.999 is approximately equal to 1, or 0.999...~1.
This post was edited by ElusiveNeutrino on Apr 12 2010 08:10am