I think 4chan is trolling.

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AeroEngy

Senior member
Mar 16, 2006
356
0
0
As mentioned quaterions and don't forget octonions:
  • Scalars are represented by 1 number.
  • Complex numbers are represented by 2 numbers (1 real and 1 imaginary).
  • Quaternions are represented by 4 numbers (1 real and 3 imaginary).
  • Octonions are represented by 8 numbers (1 real and 7 imaginary).
“The real numbers are the dependable breadwinner of the family, the complete ordered field we all rely on. The complex numbers are a slightly flashier but still respectable younger brother: not ordered, but algebraically complete. The quaternions, being noncommutative, are the eccentric cousin who is shunned at important family gatherings. But the octonions are the crazy old uncle nobody lets out of the attic: they are nonassociative.” - John Baez
 

fire400

Diamond Member
Nov 21, 2005
5,204
21
81
look for credibility with links and supporting details.

if all else, tell them to become a bot for an entire day to exhaust them before they return after their next break up with their fake-online-girl-friend...

haR - haR - argH -
 

UncleWai

Diamond Member
Oct 23, 2001
5,701
68
91
They ask for a number and you noobs keep giving out alphabets, good job.
 

SunnyD

Belgian Waffler
Jan 2, 2001
32,674
145
106
www.neftastic.com
As mentioned quaterions and don't forget octonions:
  • Scalars are represented by 1 number.
  • Complex numbers are represented by 2 numbers (1 real and 1 imaginary).
  • Quaternions are represented by 4 numbers (1 real and 3 imaginary).
  • Octonions are represented by 8 numbers (1 real and 7 imaginary).

The only thing about quaternions (and beyond) is that each imaginary number is equivalent to i anyway... so it's only really one number, but imaginary, so it's not.
 
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Farmer

Diamond Member
Dec 23, 2003
3,345
2
81
A fantastic look into the idiocy of 4chan. This is not a troll. This is just retarded.
 

Paul98

Diamond Member
Jan 31, 2010
3,732
199
106
-2 can be spilt into -1 and 2.. Sqrt of -1 = i and sqrt of 2.. Is well ... You know that..

Are -1 2 and -2 different numbers? I think so

are you trying to tell me sqrt(-1) and sqrt(-2) are the same number?
 

Farmer

Diamond Member
Dec 23, 2003
3,345
2
81
The only thing about quaternions (and beyond) is that each imaginary number is equivalent to i anyway... so it's only really one number, but imaginary, so it's not.

A quarternion is a vector in a 4D vector space, so you can say the quaternions are the set of all such vectors. Since there this space is closed under the operation of quarternion multiplication, and a few other things, it's a group. And like anything mathematical, it really doesn't "mean" anything, until you find an application.

In my life, I've only ever used it to represent rotations in 3D space. It avoids the sines and cosines in rotation matrices.
 

Gibson486

Lifer
Aug 9, 2000
18,378
1
0
In all the years I studied and worked on electronics I never used imaginary numbers when looking at circuits.
What the hell do you need it for?

It's used on anything that is not linear. In other words, anything that is not a steady DC circuit.

In circuits, it is used for the transient response. In DC, we do not care about the transient because it eventually hits steady state so quickly. If you do anything analog, you need to know imaginary numbers.
 

Farmer

Diamond Member
Dec 23, 2003
3,345
2
81
It's used on anything that is not linear. In other words, anything that is not a steady DC circuit.

In circuits, it is used for the transient response. In DC, we do not care about the transient because it eventually hits steady state so quickly. If you do anything analog, you need to know imaginary numbers.

Not necessary, only because it is pretty much the de facto standard taught in school. You can definitely do all that sine addition without using complex numbers, it's just more aggravating. This has more to do with Euler's identity than the claim that "i=sqrt(-1)," which, by itself, is kind of useless.
 

MovingTarget

Diamond Member
Jun 22, 2003
9,001
113
106
As mentioned quaterions and don't forget octonions:
  • Scalars are represented by 1 number.
  • Complex numbers are represented by 2 numbers (1 real and 1 imaginary).
  • Quaternions are represented by 4 numbers (1 real and 3 imaginary).
  • Octonions are represented by 8 numbers (1 real and 7 imaginary).

:hmm:

Also, lolz on the quote you posted.
 

Hacp

Lifer
Jun 8, 2005
13,923
2
81
Its i, not j. If I see someone who thinks j is imaginary, I'll choke them! DIE.
 

Gibson486

Lifer
Aug 9, 2000
18,378
1
0
Not necessary, only because it is pretty much the de facto standard taught in school. You can definitely do all that sine addition without using complex numbers, it's just more aggravating. This has more to do with Euler's identity than the claim that "i=sqrt(-1)," which, by itself, is kind of useless.

nah man....euler's is the best. It lets you do the laplace intergation with the actual integral. no need to memorize that stupid table. But yeah, you are right...it's pretty much useless to anyone that does not do DSP work or very complex RLC networks.
 
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