anonymous
  • anonymous
Do real life applications require the use of complex numbers and if so can you give an example.
Mathematics
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katieb
  • katieb
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amistre64
  • amistre64
i calculate my age using complex numbers ;)
ParthKohli
  • ParthKohli
You can take the square root of negative one using complex numbers. :P
ParthKohli
  • ParthKohli
Also, teachers can keep the children engaged using topics such as complex numbers that don't even have real-life applications.

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ParthKohli
  • ParthKohli
^ That one is the only application I can think of.
anonymous
  • anonymous
So we don't see imaginary numbers in nature on real life applications?
anonymous
  • anonymous
Electrical engineering
anonymous
  • anonymous
Circuits and fluid dynamics
ParthKohli
  • ParthKohli
No, we don't. @failmathmajor Electrical engineering is another place where we have teachers getting students engaged ;)
anonymous
  • anonymous
True I have seen just a little bit of complex numbers in my intro courses for physics in the subject of circuits but not enough to tell if that is something that I will face in real life.
anonymous
  • anonymous
Well, we use circuits in real life, so...
anonymous
  • anonymous
hahaha also true but I think we use digital circuits which is different from analog and that's where I've seen complex numbers
mathteacher1729
  • mathteacher1729
Complex numbers are used when considering solutions to problems that are modeled by certain differential equations which have a "rotation" in their solution. Example -- the stability of predator / prey models of populations. Long story short, they are used in mathematical modeling all the time.
mathteacher1729
  • mathteacher1729
You can manipulate complex solutions to "coupled linear differential equations" here http://ocw.mit.edu/ans7870/18/18.03/s06/tools/LinPhasePorMatrix.html
mathteacher1729
  • mathteacher1729
Here is a beautiful illustration of the behavior of coupled systems of differential equations. http://vimeo.com/23839605
phi
  • phi
some data compression techniques (used by the internet) use complex numbers.
anonymous
  • anonymous
Cool video @mathteacher1729
mathteacher1729
  • mathteacher1729
Thanks, it is not my own creation, I'm not that awesome. (yet...) :-p
anonymous
  • anonymous
I think you are pretty awesome He has a great LaTeX tutorial up on YouTube which I used to make a very cool maths report and it looks all mathematically professional and all

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