And with me not getting top 16 in Smogon Tour, my end of competitive pokemon will be come soon. Most likely will be doing Official Smogon Tournament, but then I will be gone. So I am leaving the clan, I'll still pop up in the xat and talk time to time. Bye Serebii.
You're quitting because you couldn't get top 16 at a luck based video game? Just keep trying, you will succeed eventually. You should have seen Gamefreak 4+ years ago. He sucked *** back then.
Also
Last Activity Today 2:46 AM
... you can't escape.
Originally Posted by jesusfreak94
Lol, what did I miss?
Lucs vs D0nut arguing about if 0.9999999.... = 1
Welcome to TA, where we mostly talk about anime and math. Neeerrrdddsss
Just saying, but .999... is never equal to 1. Although the difference becomes infinitesimally small as more decimal places are added, there is still a difference. As the number of decimal places increases, .999... approaches 1, but never touches it. 1 is actually asymptotic to .999... in that way.
So I like Calculus. Deal with it.
EDIT: Wow, I can't believe I just posted that.
† I am a Christian and proud of it! Copy and paste this if you are too.†
Random Quote of the...For Now:
Eagles may soar in the clouds, but weasels never get sucked into jet engines.
-Jason Hutchison
Just saying, but .999... is never equal to 1. Although the difference becomes infinitesimally small as more decimal places are added, there is still a difference. As the number of decimal places increases, .999... approaches 1, but never touches it. 1 is actually asymptotic to .999... in that way.
So I like Calculus. Deal with it.
EDIT: Wow, I can't believe I just posted that.
there exists something that is infinitely close to 1 but never is 1 but that is not a real number.
.999... is a real number and it is equal to 1
Just saying, but .999... is never equal to 1. Although the difference becomes infinitesimally small as more decimal places are added, there is still a difference. As the number of decimal places increases, .999... approaches 1, but never touches it. 1 is actually asymptotic to .999... in that way.
i know how limits work, but i also know how real numbers work. .999... is a decimal number, a real one, and so is 1. there are an infinite amount of numbers between any two real numbers but there are no numbers between .999... and 1 because .999... is 1.
there is something that is infinitely close to 1 that never reaches it but that something isn't .999... or a real number at all.
It is true that as x -> ∞, the limit of 1 - 1/x will approach one. However, this works under the assumption that you can approach infinity, which you actually cannot. As infinity is unapproachable, 1 will always be unapproachable even as 1/x becomes a smaller and smaller number. This is why, when a limit of a function f(x) as x -> ∞ yields a certain number, that number will be a horizontal asymptote to the graph of f(x) as x -> ∞. This can also apply as x -> -∞.
As far as "not a real number", any number that is not an even root of a negative number is a real number. The difference between .999... and 1 is no less real than .999... itself. Although that difference is infinitely small, .999... itself is also an infinitely long decimal, so neither are entirely comprehendable.
This is an interesting conundrum, though, so I may be wrong. I could ask my Calc professor sometime and see what his take on it is, but I think the limit process should be enough evidence.
† I am a Christian and proud of it! Copy and paste this if you are too.†
Random Quote of the...For Now:
Eagles may soar in the clouds, but weasels never get sucked into jet engines.
-Jason Hutchison
It is true that as x -> ∞, the limit of 1 - 1/x will approach one. However, this works under the assumption that you can approach infinity, which you actually cannot. As infinity is unapproachable, 1 will always be unapproachable even as 1/x becomes a smaller and smaller number. This is why, when a limit of a function f(x) as x -> ∞ yields a certain number, that number will be a horizontal asymptote to the graph of f(x) as x -> ∞. This can also apply as x -> -∞.
As far as "not a real number", any number that is not an even root of a negative number is a real number. The difference between .999... and 1 is no less real than .999... itself. Although that difference is infinitely small, .999... itself is also an infinitely long decimal, so neither are entirely comprehendable.
This is an interesting conundrum, though, so I may be wrong. I could ask my Calc professor sometime and see what his take on it is, but I think the limit process should be enough evidence.
"any number that is not an even root of a negative number is a real number." this is not true at all, there are many numbers that aren't classified with real numbers. (infinity for example is a hyper real number) .999... is not an equation it is simply a number, numbers have no limits they have values and the value of .999... is the same value as 1.
Hmm, good point. This is obviously a confusing topic, since we cannot fully grasp infinity.
I looked up a few proofs to this, and by defining the infinite decimals of .999... as a sum of an infinite series, you can actually determine that .999... will equal one in theory. Of course, from a more visual standpoint (i.e. graphing), .999... is asymptotic to 1 and thus never approaches it. But from a purely analytical standpoint, .999... = 1.
Lol, that's actually kinda weird. I've never really thought about this before.
† I am a Christian and proud of it! Copy and paste this if you are too.†
Random Quote of the...For Now:
Eagles may soar in the clouds, but weasels never get sucked into jet engines.
-Jason Hutchison
Hmm, good point. This is obviously a confusing topic, since we cannot fully grasp infinity.
I looked up a few proofs to this, and by defining the infinite decimals of .999... as a sum of an infinite series, you can actually determine that .999... will equal one in theory. Of course, from a more visual standpoint (i.e. graphing), .999... is asymptotic to 1 and thus never approaches it. But from a purely analytical standpoint, .999... = 1.
Lol, that's actually kinda weird. I've never really thought about this before.
math gets more confusing than philosophy sometimes and i love it
math gets more confusing than philosophy sometimes and i love it
Lol, so do I. I think of math as a giant puzzle, and I love puzzles.
Btw, I actually got mixed up a while ago with the limit process. I said that the limit of that function would not actually equal 1 since ∞ is unapproachable, but limits by definition assume you approach the said value. Otherwise we wouldn't have the number "e", which is pretty much the limit as x -> ∞ of [(1 - 1/x)^x]. While it's true that .999... will always be asymptotic to 1 on a graph, this is mainly because visual graphs are finite. In theory, the limit process I posted earlier actually confirms that .999... = 1.
Sorry d0nut, I goofed. Lucs is right. :P
† I am a Christian and proud of it! Copy and paste this if you are too.†
Random Quote of the...For Now:
Eagles may soar in the clouds, but weasels never get sucked into jet engines.
-Jason Hutchison
Lol, find me one other clan where you can watch a discussion over complex arithmetic theories and equations.
I hate to dumb down the conversation, but Sash Breloom and specially defensive Amoonguss are fantastic leads against teams leading with Scarf Genesect. Breloom threatens to effectively KO a Pokemon with Spore if Genesect U-turns, and if it stays in, a Low Sweep + Mach Punch will almost always KO Naive Genesect and will certainly KO a Hasty one. It also beats a ton other leads between Spore and its STABs. Heck, I've even had success with it in preventing those annoying Deoxys-D leads from getting more than one hazard up if they don't get lucky with the sleep counter. As far as Amoonguss goes, Scarf Genesect can't break 50% with any move, while you either pseudo-kill something with Spore, paralyze something with Stun Spore, or whatever else. Then you can just switch out and heal off most of the damage.
† I am a Christian and proud of it! Copy and paste this if you are too.†
Random Quote of the...For Now:
Eagles may soar in the clouds, but weasels never get sucked into jet engines.
-Jason Hutchison
Reward:
1st Place - Chooses next clan tournament + Signature + Xat Mod Powers (1 Week)
Runner up - Xat Mod Powers (1 Week) + Signature
3rd Place - Signature