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Unread 7 Nov 2002, 10:52   #1
ELeeming
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ELeeming's wacky world of maths - part 2.

Let us consider the infanite sum...

S = 1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1........

hence
S = 1+(1-1)+(1-1)+(1-1)+(1-1)..............
= 1+0+0+0+0+0+0+0+0+..........
=1

But

S = (1+1)-(1+1)-(1+1)-(1+1)-(1+1)-.......
= 2-2-2-2-2-2-2-2-2-2-2-2-............
= - infinity

Hence 1 = - infinity

QED
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Unread 7 Nov 2002, 10:58   #2
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uh huh....... (?)
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Unread 7 Nov 2002, 10:59   #3
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The equations you refer to are fundamentally different.




BTW, negative infinity is zero
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Unread 7 Nov 2002, 11:11   #4
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Re: ELeeming's wacky world of maths - part 2.

Let us consider the infanite sum...

S = 1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1........

Thus
S = (1-1)+(1-1)+(1-1)+(1-1)+(1-1)+.......

but
S = 1-(1-1)-(1-1)-(1-1)-(1-1)..............
S = 1 - [(1-1)+(1-1)+(1-1)+(1-1)+(1-1)+.......]
S = 1-S

Therefore S = 1 - S

Therefore S = 0.5
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Unread 7 Nov 2002, 11:11   #5
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Are you really that **** at maths?

The 2 equations aren't equivalent

You're ignoring the minus sign at the front of the bracket that reverses the addition operations inside the bracket

STOP BEING **** AT MATHS
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Unread 7 Nov 2002, 11:12   #6
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Quote:
Originally posted by Ghosteh




BTW, negative infinity is zero
YOU STOP BEING **** AT MATHS TOO :/
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Unread 7 Nov 2002, 11:15   #7
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Apples=Oranges

Apples=Bananas

Therefore Bananas=Oranges

Well it makes as much mathematical sense as the original post.
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Unread 7 Nov 2002, 11:18   #8
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Quote:
Originally posted by Ragnarak


YOU STOP BEING **** AT MATHS TOO :/

Infinity = everything

Zero = nothing

Therefore zero = - infinity
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Unread 7 Nov 2002, 11:19   #9
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Quote:
Originally posted by Ghosteh



Infinity = everything

Zero = nothing

Therefore zero = - infinity
STOP BEING **** AT MATHS
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Unread 7 Nov 2002, 11:21   #10
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Quote:
Originally posted by Ragnarak


STOP BEING **** AT MATHS
I wish the mods would just replace every post in both the "wacky world of maths" threads with this, it sums it all up nicely
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Unread 7 Nov 2002, 11:22   #11
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Quote:
Originally posted by Grimble


I wish the mods would just replace every post in both the "wacky world of maths" threads with this, it sums it all up nicely
i like to feel that i'm doing my part
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Unread 7 Nov 2002, 11:25   #12
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Originally posted by Ragnarak


STOP BEING **** AT MATHS
Explain and I will stop
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Unread 7 Nov 2002, 12:02   #13
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Quote:
Originally posted by Ghosteh


Explain and I will stop
-infinity is not 0

0 is 'in the middle'

with infinity off to the far right on the number line and minus infinity off to the far left

there is nothing else to explain
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Unread 7 Nov 2002, 12:29   #14
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Quote:
Originally posted by Ragnarak


-infinity is not 0

0 is 'in the middle'

with infinity off to the far right on the number line and minus infinity off to the far left

there is nothing else to explain
except those cool little imaginary number things which go up and down
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Unread 7 Nov 2002, 13:09   #15
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Quote:
Originally posted by Booge8


except those cool little imaginary number things which go up and down
i'm not talking bout the argand plane

i was talking about the (<pedant>real</pedant>) number line
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Unread 7 Nov 2002, 16:03   #16
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Re: ELeeming's wacky world of maths - part 2.

Quote:
Originally posted by ELeeming
Firstly

S = (1+1)-(1+1)-(1+1)-(1+1)-(1+1)-.......


THAT IS WRONG

Secondly

The sequence is divergent, and therefore you can not give any answer for what S is equal to. You could give a partial sum for the first n terms, the answer would either be 1 or 2 (1 for odd values of n, and 2 for even values)
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Unread 7 Nov 2002, 16:06   #17
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Re: Re: ELeeming's wacky world of maths - part 2.

Quote:
Originally posted by Sarina_Joy


Firstly

S = (1+1)-(1+1)-(1+1)-(1+1)-(1+1)-.......


THAT IS WRONG

Secondly

The sequence is divergent, and therefore you can not give any answer for what S is equal to. You could give a partial sum for the first n terms, the answer would either be 1 or 2 (1 for odd values of n, and 2 for even values)
Are you seriously in 4th grade?
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Unread 7 Nov 2002, 16:08   #18
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Unread 7 Nov 2002, 16:11   #19
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Originally posted by Sarina_Joy
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Unread 7 Nov 2002, 16:12   #20
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Quote:
Originally posted by Ghosteh



Infinity = everything

Zero = nothing

Therefore zero = - infinity
Actually, negative infinity is the highest negative number that can exist. At least that's what I was taught.

Infinity > Negative Infinity
Infinity > Zero
Zero > -Infinity
Thus zero can't be equal to negative infinity.
As infinity cannot be zero.

Gosh.
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Unread 7 Nov 2002, 16:16   #21
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Question,

Is zero a number?

i know fk all about maths, so kindly enlighten me
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Unread 7 Nov 2002, 16:17   #22
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Quote:
Originally posted by ĞiSCoRPoRaTioN
Question,

Is zero a number?

i know fk all about maths, so kindly enlighten me
Yes?
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Unread 7 Nov 2002, 16:21   #23
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Quote:
Originally posted by ĞiSCoRPoRaTioN
Question,

Is zero a number?

i know fk all about maths, so kindly enlighten me

Yes

0 is a member of the set of integers {....-4, -3, -2, -1, 0, 1, 2, 3, 4....}

This is a subset of the real numbers.

However 0 is not a member of the natural numbers {1, 2, 3, 4, 5.....}
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Unread 7 Nov 2002, 16:24   #24
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Quote:
Originally posted by Tietäjä


Actually, negative infinity is the highest negative number that can exist. At least that's what I was taught.

Infinity > Negative Infinity
Infinity > Zero
Zero > -Infinity
Thus zero can't be equal to negative infinity.
As infinity cannot be zero.

Gosh.
Quote:
Originally posted by Ragnarak


STOP BEING **** AT MATHS
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Unread 7 Nov 2002, 16:30   #25
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beat me to it :/
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Unread 7 Nov 2002, 16:50   #26
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Unread 7 Nov 2002, 17:00   #27
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Unread 8 Nov 2002, 12:49   #28
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this one is even more **** than your first one.
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Unread 8 Nov 2002, 13:50   #29
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Quote:
Originally posted by Ghosteh



Infinity = everything

Zero = nothing

Therefore zero = - infinity


0 = 1/infinity, not negative infinity
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Unread 8 Nov 2002, 14:36   #30
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Re: ELeeming's wacky world of maths - part 2.

Quote:
Originally posted by ELeeming
Subtraction is not commutative.
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Unread 8 Nov 2002, 14:38   #31
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Quote:
Originally posted by Sarina_Joy



Yes

0 is a member of the set of integers {....-4, -3, -2, -1, 0, 1, 2, 3, 4....}

This is a subset of the real numbers.

However 0 is not a member of the natural numbers {1, 2, 3, 4, 5.....}

But its not negative either?
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Unread 8 Nov 2002, 14:42   #32
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0 is not a 'natural number'. It is a 'real number'. Negative infinity =/= 0. Infinity =/= everything. 1/0 =/= 'infinity'. 1/0 is an undefined operation.
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Unread 8 Nov 2002, 14:52   #33
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Quote:
Originally posted by MrL_JaKiri
0 is not a 'natural number'. It is a 'real number'. Negative infinity =/= 0. Infinity =/= everything. 1/0 =/= 'infinity'. 1/0 is an undefined operation.
Could you explain to me in PM?

I lack the mathematical knowledge to understand this =\
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Unread 8 Nov 2002, 15:32   #34
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Quote:
Originally posted by Sarina_Joy
However 0 is not a member of the natural numbers {1, 2, 3, 4, 5.....}
0 is a natural number - at least when u use sets to define what natural numbers actually are.
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Unread 8 Nov 2002, 15:39   #35
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ĞiSCoRPoRaTioN

=/= means not equal to

what Mr_L wrote should make sense to you now

hopefully
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Unread 8 Nov 2002, 15:41   #36
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0=-0
1/0=1/-0
1/0=-1/0
1=-1
0=2
0=1
2+2=2+2+1
2+2=5

This either proves that 2+2=5, or supports the claim that 1/0 is undefined unless you define it yourself first, and really know what you're doing...


=/= &equiv; &ne;
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Unread 8 Nov 2002, 15:54   #37
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there are some sums of series that depends on the order you add them

which i think was the point of the original post
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Unread 8 Nov 2002, 15:58   #38
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Quote:
Originally posted by Jennifer
there are some sums of series that depends on the order you add them

which i think was the point of the original post
you're giving him too much credit
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Unread 8 Nov 2002, 15:59   #39
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Originally posted by Cyp



=/= &equiv; &ne;
showoff
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Unread 8 Nov 2002, 16:56   #40
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you're giving him too much credit
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Unread 8 Nov 2002, 16:58   #41
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Originally posted by Ragnarak
ĞiSCoRPoRaTioN

=/= means not equal to

what Mr_L wrote should make sense to you now

hopefully
It does. Sort of. It still doesn't answer my question =\

(I know what =/= means )
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Unread 8 Nov 2002, 17:03   #42
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Unread 8 Nov 2002, 17:31   #43
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what could you possibly not understand?
How this thread is still alive?
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Unread 8 Nov 2002, 18:09   #44
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Unread 8 Nov 2002, 22:19   #45
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Quote:
Originally posted by at0mic.c0w


0 is a natural number - at least when u use sets to define what natural numbers actually are.
No.

0 is not a member of the set of natural numbers. You may be referring to the set of 'whole numbers' but this is not a commonly used set. btw


God how I wish I could use proper mathematical notation on these boards :(((((
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Unread 8 Nov 2002, 22:21   #46
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Zero is a member of N (Imagine its got another little line on it like)
Zero is not a member of N+.

Or so I'm informed

Edit:
http://hemsidor.torget.se/users/m/ma...um/natural.htm

Google is my friend

Last edited by pablissimo; 8 Nov 2002 at 22:30.
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Unread 8 Nov 2002, 22:39   #47
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it's a lively debate
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Unread 8 Nov 2002, 22:44   #48
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Yeah, we keep getting it drummed into us by one lecturer that zero is, and another that it isn't. Doesn't matter as long as you define what you're doing properly...

Having said that I've shat enough questions up before now not remember whether it was or wasn't in
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Unread 8 Nov 2002, 22:56   #49
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As far as I am concerned (and as far as I have been taught) 0 is NOT a member of the set of natural numbers. Thus, unless the question or example specifically includes it, I shall not.
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