Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2013-02-15 20:34:50

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
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MY FRIEND and i

My friend is claiming that he has found a proof to show that the "square root of -1" tends to 1.
He will probably show me the proof on Tuesday(if I get enough time to meet him).

Thoughts?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#2 2013-02-15 20:36:46

anonimnystefy
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Registered: 2011-05-23
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Re: MY FRIEND and i

That is definitely not true, and there will surely be an error in his "proof".


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#3 2013-02-15 20:42:02

Agnishom
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From: The Complex Plane
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Re: MY FRIEND and i

I know this is funny that is why I am excited


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#4 2013-02-15 20:48:43

anonimnystefy
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From: The Foundation
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Re: MY FRIEND and i

I am just sad because that guy is going to whip up a proof in which the flaw is very, very well hidden, and that in the short time that you are unable to find it, he will feel superior.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#5 2013-02-15 20:53:45

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
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Re: MY FRIEND and i

Ya the time would be very short.
And I do not know enough about limits to tell whether he is correct.

BTW, Do we have another term for 0/0 other than 'undefined'?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#6 2013-02-15 20:58:19

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: MY FRIEND and i

The common name for 0/0 is indeterminate. It means a different thing than undefined (which would be something like 1/0).


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#7 2013-02-15 21:00:11

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 16,676
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Re: MY FRIEND and i

How does it make any difference?
Both just indicate 'nonsense'


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#8 2013-02-15 21:01:16

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: MY FRIEND and i

Yes, but, the first one could actually have a value.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#9 2013-02-15 21:03:37

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
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Re: MY FRIEND and i

How?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#10 2013-02-15 21:10:25

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
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Re: MY FRIEND and i

By the way, How do I fight absurd things like this:


∴ i^2 = -1
Again,

Last edited by bobbym (2013-02-15 22:10:29)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#11 2013-02-15 21:41:27

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: MY FRIEND and i

√a*√b=√ab only if a,b≥0.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#12 2013-02-15 22:11:17

Agnishom
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Re: MY FRIEND and i

Proof?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#13 2013-02-15 22:25:55

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,379

Re: MY FRIEND and i

Hi;

If a and b < 0 then it is easy to find a counterexample

Last edited by bobbym (2013-02-15 22:41:54)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#14 2013-02-15 22:36:35

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
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Re: MY FRIEND and i

Counter example? Hmmm...


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#15 2013-02-15 22:40:03

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,379

Re: MY FRIEND and i

Hi Agnishom;

You only need one counterexample to prove any assertion is not always true.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#16 2013-02-15 22:43:19

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: MY FRIEND and i

bobbym wrote:

Hi;

If a and b < 0 then it is easy to find a counterexample

If somebody claims √-1*√-1=√(-1)*(-1) then he can also claim √-2*√-3=√6.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#17 2013-02-15 22:44:59

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,379

Re: MY FRIEND and i

Hi;

I was partially answering post #12, not the incorrect proof.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#18 2013-02-15 22:49:18

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,676
Website

Re: MY FRIEND and i

Okay! What is the square root of i?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#19 2013-02-15 22:54:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,379

Re: MY FRIEND and i

gif.latex?\LARGE%20\inline%20\bg_green%20\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i

Last edited by bobbym (2013-02-15 22:55:22)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#20 2013-02-15 23:06:50

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: MY FRIEND and i

What's with the green?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#21 2013-02-15 23:07:19

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,379

Re: MY FRIEND and i

Cool hah!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#22 2013-02-15 23:25:44

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 16,676
Website

Re: MY FRIEND and i

Cool? Perhaps not

How did my latex in #10 get corrected?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#23 2013-02-15 23:26:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,379

Re: MY FRIEND and i

I corrected it, I hope it is what you wanted to say.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#24 2013-02-15 23:33:06

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,676
Website

Re: MY FRIEND and i

Nice thanks but i believe latex allowed us to put normal text inside it.

When are you all going to fix up the image upload? I've got something to show


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#25 2013-02-15 23:34:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,379

Re: MY FRIEND and i

MIF is working on that I have things too.

For your latex use \text{} to put ordinary text in latex.

Know this guy?

Aryabhatta%20(1).jpg

Last edited by bobbym (2013-02-16 00:38:43)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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