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#21 |
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Yes
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Wait, yeah, you're right. I wasn't thinking in terms of one.
I've been frying my brain with Calc, Chem, and Physics lately.
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Check Out My Music Last edited by Specforces; 12-4-2006 at 04:02 PM.. |
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#22 |
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Custom User Title
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Sorry didn't have time to proofread that last post. Also, isn't infinite - infinite = - infinite?
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#23 |
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Resident Penguin
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#24 |
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let it snow~
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If you argue that infinity is multipliable and divisible, then you also profess to say that 0.999... repeating infinitely is not equal to one mathematically.
We've had two threads on infinity in math and they're contradicting each other unless you say it's undefined. Infinity is not a number. Multiplication is defined as "The product of two numbers". Division is defined as "The quotient of two numbers." I don't see how you can put infinity into these statements and expect a result other than "undefined". |
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#25 |
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FFR Player
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well apparantly wiki's retarded
I don't see a reason listed anywhere.
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Last edited by Tokzic: Today at 11:59 PM. Reason: wait what |
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#26 | ||
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TWO THOUZAND COMBO
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Quote:
See, the reason 1^inf is undefined is beacause of these rules: 1^anything = 1 Anything^inf = inf When those rules are put together in 1^inf, there is no proper answer (besides 'undefined") because you cannot follow both rules in that case, even though both must be followed whenever they can be. Just because it makes no intuitive sense doesn't mean it's not true. Trying to think of it as multiplying a lot of 1's together won't get you the right answer, because you can never physically multiply an infinity of 1's together. Also, itmorr: inf - inf is definitely undefined.
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#27 |
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Resident Penguin
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well, squeek, you can multiply and add with infinity, only certain times. I remember vaguely doing all this with limits and **** at the beginning of calculus, but that was three years ago.
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#28 |
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let it snow~
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You can approach infinity and your limit can equal infinity, but you can't really use it for arithmetic.
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#29 |
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Resident Penguin
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yes, you can. e.g. x + infinity = infinity
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#30 | |
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TWO THOUZAND COMBO
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You can use infinity for arithmetic, but any operation do involving it will either be infinity, zero, or undefined.
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#31 |
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FFR Player
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Who invents these rules. What a load of crap.
If I made you immortal and told you to take an undecayable calculator and hit 1 then *1 for all eternity, you would never see another number besides one. Of course... there's probably some algebraeic way of proving me wrong. Someone find it or I'll continue to be convinced I'm right.
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Last edited by Tokzic: Today at 11:59 PM. Reason: wait what |
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#32 |
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i wanna be ur pop star
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I have learned things from this thread.
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![]() FMO AAAs (3): Heavenly Spores (68), Fast Asleep (67)!, 0 (piano version) (66)! VC AAAs: 76 Best VCs: Finders Keepers (64), Purple (64), Travel Demon (63), Final Step (63), A World of Piano (63), Balloon Fever (63), The Fusion (63) |
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#33 | |||
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TWO THOUZAND COMBO
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Mathematicians.
Quote:
Quote:
No matter how convinced you are that you're right here, you aren't. All of higher math disagrees with you.
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#35 | |
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Quote:
The reason why it's undefined in simple terms is because you don't know what infinity is. You're making a fallacious assumption when thinking 1^infinity means 1 times itself infinite times. Infinity doesn't imply a number, what if infinity is a function? That's where the problem arises. Remember, infinity has no value, it just means to exist without bounds (existing everywhere at any given point in time). You can represent this unboundedness by any number of functions. I suppose if you let x go to zero, lim hx^kx = (1+x)^(1/x) , then is that one? No, no it's not. It's 1^infinity, but the answer is e. lny=(1/x)ln(1+x) , lny=ln(1+x)/x , dy/dx (H) = 1/1+x , let x go to 0, ln y= 1, y = e^1 = e Contradiction! 1^infinity therefore does not have to equal 1...it can have any number of answers actually. Hence the answer is undefined.
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Last edited by Reach; 12-4-2006 at 05:52 PM.. |
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#36 | |
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TWO THOUZAND COMBO
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Ah thanks, I knew there was a simple way to show it but I forgot what it was ><
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#37 |
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Ryoko Shintani is #1!
Join Date: Feb 2006
Location: Transbaal Galaxy
Age: 32
Posts: 404
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The mathematicians in charge of math, of course!
Man, now I'm pissed that I changed that sig. EDIT: Also I'm highly disappointed that a Control-F for "indeterminacy" in this topic yielded no results.
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#38 |
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FFR Player
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what have i started
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#39 |
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Ryoko Shintani is #1!
Join Date: Feb 2006
Location: Transbaal Galaxy
Age: 32
Posts: 404
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You're started a journey down the road of knowledge. Embrace it.
EMBRACE IT, DAMN YOU.
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#40 |
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FFR Player
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o = o thats it infinety is an undetermined number it is larger than any other number its infinety
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