0.9999... != 1?

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Similarly, $$0 \times \infty$$ is undefined, and 0^0 is undefined.

The first expression ($$0 \times \infty$$) is worse than undefined: it is not even well-formed. Infinity is not a number.

The second expression (0^0) is not undefined either. Define f(x) = u(x)^v(x) and define u(x) and v(x) such that both u(0) and v(0) are zero. Depending on how one defines u(x) and v(x) drastically alters the limit of f(x) as x approaches 0. 0^0 is an indeterminate form. It is frequently defined to be one for convenience. Doing so lets us say that $$e^x = \sum_{n=0}^{\infty}\frac{x^n}{n!}$$ instead of $$e^x = 1 + \sum_{n=1}^{\infty}\frac{x^n}{n!}$$, for example.

Seriously... delete this thread :(
Seconded. This topic attracts almost as many crackpots as relativity.
 
Seconded. This topic attracts almost as many crackpots as relativity.

Einstein was a pipe-smoking crackpot who smoked until his hair looked like smoke. Then he made his relative theory which says that when something moves very fast it actually moves very slow. Then he made the A-bomb (which he named after himself)
 
Einstein was a pipe-smoking crackpot who smoked until his hair looked like smoke. Then he made his relative theory which says that when something moves very fast it actually moves very slow. Then he made the A-bomb (which he named after himself)

Einstein never smoked crack sorry.
And His theory is correct space is time. Space spreads in all directions. So no matter what direction your going your going in it is the direction of space. Space and time can be equally seen as the same. If your moving really fast (direction of movement does not matter) then the rate at which space is moving away from you is less.
Now Einstein was to light as Tesla was to electricity. Light moves very fast and he said it is the fastest speed anything could achieve. Which then makes me wonder if light is just floating in space and it's movement is caused by space expansion.
So if one were to go really fast it would experience space differently than an object that wasn't moving. It would stay in the same space for more time. Because space is continually expanding is the reason for time.

If space moved slower passed us then yes indeed time would be slower. In layman terms it would be like slowing down the frame rate of a movie.
 
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Einstein was a pipe-smoking crackpot who smoked until his hair looked like smoke. Then he made his relative theory which says that when something moves very fast it actually moves very slow. Then he made the A-bomb (which he named after himself)

Where is the word Atom in Albert Einstein's name?
 
Instead of using mathematical proofs involving infinity which can be easily manipulated to yield crazy results, its easier just to remember that 2 numbers are defined as distinct and separate only if there is a number between them.

Thus, .999....=1 since there is no number between the two and thus they cannot be distinguished so must be the same number.

And whoever had the little rant about einstein and crack and relativity is wrong and the A standing for Albert rather than Atom needs to lay off the crack himself.
 
Instead of using mathematical proofs involving infinity which can be easily manipulated to yield crazy results,

Explain please. Examples? Unless you are talking about the weird stuff above like "1/infinity = 0" crap... of course, I agree. But those aren't even proof anyway.
 
What a waste space this nonsense is. It's fruitless debate about mere mathematical definition. It's like theologians arguing about how many angels can dance on the head of a pin.

FFS, can it, bin it, scrap it. Go do some physics.
 
I must have gotten deja-vu and flashbacks ...........

1/9 = 0.1111111111111111111.....
9 (1/9) = 9 ( 0.111111111111111111.....)
1= 0.99999999999999999.....

Heh,heh ....
 
Instead of using mathematical proofs involving infinity which can be easily manipulated to yield crazy results, its easier just to remember that 2 numbers are defined as distinct and separate only if there is a number between them.

Thus, .999....=1 since there is no number between the two and thus they cannot be distinguished so must be the same number.

And whoever had the little rant about einstein and crack and relativity is wrong and the A standing for Albert rather than Atom needs to lay off the crack himself.

my argument for it was that there is a non-zero number between the 2.
 
Einstein never smoked crack sorry.
And His theory is correct space is time. Space spreads in all directions. So no matter what direction your going your going in it is the direction of space. Space and time can be equally seen as the same. If your moving really fast (direction of movement does not matter) then the rate at which space is moving away from you is less.
Now Einstein was to light as Tesla was to electricity. Light moves very fast and he said it is the fastest speed anything could achieve. Which then makes me wonder if light is just floating in space and it's movement is caused by space expansion.
So if one were to go really fast it would experience space differently than an object that wasn't moving. It would stay in the same space for more time. Because space is continually expanding is the reason for time.

If space moved slower passed us then yes indeed time would be slower. In layman terms it would be like slowing down the frame rate of a movie.

lol. debunked!
 
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