## Romero 3 years ago Do real life applications require the use of complex numbers and if so can you give an example.

1. amistre64

i calculate my age using complex numbers ;)

2. ParthKohli

You can take the square root of negative one using complex numbers. :P

3. ParthKohli

Also, teachers can keep the children engaged using topics such as complex numbers that don't even have real-life applications.

4. ParthKohli

^ That one is the only application I can think of.

5. Romero

So we don't see imaginary numbers in nature on real life applications?

6. failmathmajor

Electrical engineering

7. failmathmajor

Circuits and fluid dynamics

8. ParthKohli

No, we don't. @failmathmajor Electrical engineering is another place where we have teachers getting students engaged ;)

9. Romero

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.

10. failmathmajor

Well, we use circuits in real life, so...

11. Romero

hahaha also true but I think we use digital circuits which is different from analog and that's where I've seen complex numbers

12. 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.

13. mathteacher1729

You can manipulate complex solutions to "coupled linear differential equations" here http://ocw.mit.edu/ans7870/18/18.03/s06/tools/LinPhasePorMatrix.html

14. mathteacher1729

Here is a beautiful illustration of the behavior of coupled systems of differential equations. http://vimeo.com/23839605

15. phi

some data compression techniques (used by the internet) use complex numbers.

16. Romero

Cool video @mathteacher1729

17. mathteacher1729

Thanks, it is not my own creation, I'm not that awesome. (yet...) :-p

18. failmathmajor

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