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#1 2011-06-03 09:07:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

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 (2011-06-03 09:22:42)


“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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#2 2011-06-05 03:42:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

Re: Complex numbers!!!

Last edited by anonimnystefy (2011-06-05 03:44:12)


“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 2011-06-19 02:35:36

soroban
Member
Registered: 2007-03-09
Posts: 452

Re: Complex numbers!!!

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.

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#4 2011-06-20 03:39:04

123ronnie321
Member
Registered: 2010-09-28
Posts: 128

Re: Complex numbers!!!

soroban wrote:

.

. .

.

Complex numbers remind me of elves and dwarves.

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#5 2011-06-20 04:45:31

gAr
Member
Registered: 2011-01-09
Posts: 3,479

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."

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#6 2011-06-21 05:00:22

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

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 (2011-06-21 05:01:49)


“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 2011-06-21 05:14:03

gAr
Member
Registered: 2011-01-09
Posts: 3,479

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."

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#8 2011-06-21 05:40:32

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

Re: Complex numbers!!!

hi gAr

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


“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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