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Romero Group Title

Do real life applications require the use of complex numbers and if so can you give an example.

  • 2 years ago
  • 2 years ago

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  1. amistre64 Group Title
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    i calculate my age using complex numbers ;)

    • 2 years ago
  2. ParthKohli Group Title
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    You can take the square root of negative one using complex numbers. :P

    • 2 years ago
  3. ParthKohli Group Title
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    Also, teachers can keep the children engaged using topics such as complex numbers that don't even have real-life applications.

    • 2 years ago
  4. ParthKohli Group Title
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    ^ That one is the only application I can think of.

    • 2 years ago
  5. Romero Group Title
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    So we don't see imaginary numbers in nature on real life applications?

    • 2 years ago
  6. failmathmajor Group Title
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    Electrical engineering

    • 2 years ago
  7. failmathmajor Group Title
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    Circuits and fluid dynamics

    • 2 years ago
  8. ParthKohli Group Title
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    No, we don't. @failmathmajor Electrical engineering is another place where we have teachers getting students engaged ;)

    • 2 years ago
  9. Romero Group Title
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    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.

    • 2 years ago
  10. failmathmajor Group Title
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    Well, we use circuits in real life, so...

    • 2 years ago
  11. Romero Group Title
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    hahaha also true but I think we use digital circuits which is different from analog and that's where I've seen complex numbers

    • 2 years ago
  12. mathteacher1729 Group Title
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    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.

    • 2 years ago
  13. mathteacher1729 Group Title
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    You can manipulate complex solutions to "coupled linear differential equations" here http://ocw.mit.edu/ans7870/18/18.03/s06/tools/LinPhasePorMatrix.html

    • 2 years ago
  14. mathteacher1729 Group Title
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    Here is a beautiful illustration of the behavior of coupled systems of differential equations. http://vimeo.com/23839605

    • 2 years ago
  15. phi Group Title
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    some data compression techniques (used by the internet) use complex numbers.

    • 2 years ago
  16. Romero Group Title
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    Cool video @mathteacher1729

    • 2 years ago
  17. mathteacher1729 Group Title
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    Thanks, it is not my own creation, I'm not that awesome. (yet...) :-p

    • 2 years ago
  18. failmathmajor Group Title
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    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

    • 2 years ago
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