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#1 2011-06-04 07:07:54

anonimnystefy
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Complex numbers!!!

I didn't see much topics on this subject.

If you know anything interesting about complex or you have a problem with them just post here.

For those who don't know complex numbers are those of the form a+b*i where i is the imaginary unit which is the number for which i^2=-1.

Here are the rules of basic operations with compex numbers:
1)addition:
 


2)subtraction:
 

3)multiplication:
 

4)division:
 

Last edited by anonimnystefy (2011-06-04 07:22:42)


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
 

#2 2011-06-06 01:42:53

anonimnystefy
Real Member

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Re: Complex numbers!!!

Last edited by anonimnystefy (2011-06-06 01:44:12)


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
 

#3 2011-06-20 00:35:36

soroban
Power Member

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Re: Complex numbers!!!

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#4 2011-06-21 01:39:04

123ronnie321
Full Member

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Re: Complex numbers!!!

soroban wrote:

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. .




.

Complex numbers remind me of elves and dwarves.

 

#5 2011-06-21 02:45:31

gAr
Star Member

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Re: Complex numbers!!!

Hi,

A simple application  is to derive multiple-angle formulas:
E,g.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#6 2011-06-22 03:00:22

anonimnystefy
Real Member

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Re: Complex numbers!!!

hi

there are also the n-th roots of unity.The n-th root of unity are those numbers (real or complex) that on the power n gives number 1. For example:

Last edited by anonimnystefy (2011-06-22 03:01:49)


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
 

#7 2011-06-22 03:14:03

gAr
Star Member

Offline

Re: Complex numbers!!!

Hi anonimnystefy,

Have you read about de Moivre's formula:
http://en.wikipedia.org/wiki/Root_of_unity#Examples


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#8 2011-06-22 03:40:32

anonimnystefy
Real Member

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Re: Complex numbers!!!

hi gAr

I read something but not all.
Just noticed that they wrote sqrt(-1) which is incorrect.


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
 

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