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#51 2013-02-07 21:27:03

bobbym

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Re: 0^0 equals 1 or undefined?

That is the point! It is one, I agree! But it is also .9999999999...

Do it term by term, it is

.9 + .09 + .009 + .0009 + .00009 + .000009 + ... +

obviously .99999999999... and you used the geometric sum to say it equals 1.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#52 2013-02-07 21:38:27

anonimnystefy
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Re: 0^0 equals 1 or undefined?

There is no reason that that sum should be equal 0.999...

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#53 2013-02-07 21:40:52

bobbym

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Re: 0^0 equals 1 or undefined?

There is no reason that that sum should be equal 0.999...

Please look at the preceding post again. That sum produces an endless bunch of nines! You said it was one because you used this formula

sort of shows that if we do not agree with .999999999... = 1, we have to give that up. I do not want to give it up. It works!

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#54 2013-02-07 21:49:07

anonimnystefy
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Re: 0^0 equals 1 or undefined?

No, no. I disagree that that sum is equal to 0.999...

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#55 2013-02-07 21:52:21

bobbym

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Re: 0^0 equals 1 or undefined?

.9 = .9

.9 + .09 = .99

.9 + .09 + .009 = .999

.9 + .09 + .009 + .0009 = .9999

.9 + .09 + .009 + .0009 + .00009 = .99999
.
.
.

looks to me like it agrees with .9999999...

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#56 2013-02-07 21:54:10

anonimnystefy
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Re: 0^0 equals 1 or undefined?

I do not see 0.999... anywhere in there.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#57 2013-02-07 21:56:15

bobbym

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Re: 0^0 equals 1 or undefined?

Okay, then in other words you do not agree with any other non terminating decimal?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#58 2013-02-07 21:57:44

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

No. I do not agree with non-terminating nines.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#59 2013-02-07 21:59:03

bobbym

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Re: 0^0 equals 1 or undefined?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#60 2013-02-07 22:00:43

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

They are okay.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#61 2013-02-07 22:02:16

bobbym

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Re: 0^0 equals 1 or undefined?

Is
1 / 3 = .3333333333... ?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#62 2013-02-07 22:04:38

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

Yes it is.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#63 2013-02-07 22:05:46

bobbym

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Re: 0^0 equals 1 or undefined?

Then

3 ( 1 / 3 ) = 3 ( .33333333333...)

1 = .999999999999...

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#64 2013-02-07 22:06:41

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

Nope.

3*0.333... is equal to 1.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#65 2013-02-07 22:08:22

bobbym

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Re: 0^0 equals 1 or undefined?

I am not following you.

There is a difference between .333... and .333333333... and .333333333333333... ?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#66 2013-02-07 22:10:54

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

No, of course not. I am just saying that the product of 3 and non-terminating 3's is 1, and not 0.999...

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#67 2013-02-07 22:12:10

bobbym

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Re: 0^0 equals 1 or undefined?

You do not think that

3 (.333333333333...)  = (.999999999999...) ?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#68 2013-02-07 22:13:35

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

No. because I think that the number on the right should be barred from mathematics.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#69 2013-02-07 22:18:10

bobbym

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Re: 0^0 equals 1 or undefined?

Hmmmm...

So you are saying you like this

and this

but do not like this:

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#70 2013-02-07 22:25:15

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

Yes.
1/9=0.111...
2/9=0.222...
3/9=0.333...
4/9=0.444...
5/9=0.555...
6/9=0.666...
7/9=0.777...
8/9=0.888...
9/9=1

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#71 2013-02-07 22:28:58

bobbym

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Re: 0^0 equals 1 or undefined?

Hohohoho! Thank you for that, I always knew you had a sense of humor and you have really uncorked it and sprayed me with champagne. Very good!

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#72 2013-02-07 22:33:46

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

Excuse me?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#73 2013-02-07 22:36:37

bobbym

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Re: 0^0 equals 1 or undefined?

I thought you were joking, sorry.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#74 2013-02-07 22:45:08

anonimnystefy
Real Member

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Re: 0^0 equals 1 or undefined?

Do you know what a devil's advocate is?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#75 2013-02-07 22:47:23

bobbym

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Re: 0^0 equals 1 or undefined?

Yes, it is someone who defends impossible positions to irk someone else. Someone who is so old that the slightest annoyance can kill him.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.