Hi, how to apply maths in our real life, state some applications?

Discussion in 'Math' started by circuit lover, Mar 12, 2017.

  1. circuit lover

    Thread Starter New Member

    Feb 25, 2017
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    Lke using complex number in designing of a wing of wind mill. Post me some attachments related to this.
     
  2. Papabravo

    Expert

    Feb 24, 2006
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  3. MrAl

    Distinguished Member

    Jun 17, 2014
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    Hi,

    You mean an aerodynamics problem using complex numbers?

    I think this goes beyond just complex numbers and starts to get into areas like finite element analysis. Ultimately the blades would have to be able to change shape during use also, or at least angle, if you want to go state of the art. You might find some simpler examples though.

    You should really start with 2d applications first anyway.

    For an interesting blade design, think of a large set of rectangular blocks with a durable skin over them, and they can slide across each other under microcontroller control. As the blocks slide, they change the aerodynamic shape of the blade and thus with an algorithm can be made to get into the shape that allows maximum efficiency for the given environmental conditions.
     
    Last edited: Mar 13, 2017
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  4. Kermit2

    AAC Fanatic!

    Feb 5, 2010
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  5. drc_567

    Senior Member

    Dec 29, 2008
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    Root Locus ... any solution to the quadratic equation which has a real part in addition to an imaginary part represents an oscillation ... a vibration, if you will. Or actually, an imaginary part only will work.

    https://en.m.wikipedia.org/wiki/Root_locus

    Also look up Harold Evans, who came up with this concept.

    This is a a fundamental math concept ... but have not located a concise explanation yet.
     
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  6. BR-549

    Distinguished Member

    Sep 22, 2013
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    With careful observation, we have discovered proportional and directional relationships between mass, force, distance, charge, time, angle...etc.

    Math fits nicely to universally describe, and predict these relationships.

    One of the handiest is to convert between the linear force, momentum, or acceleration to the angular dimension and visa versa.
     
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  7. MrAl

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    Jun 17, 2014
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    Hi,

    Wondering what you mean by a "concise explanation".
     
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  8. MrAl

    Distinguished Member

    Jun 17, 2014
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    Hi,

    Oh so you were saying that you found it hard to find a good simple explanation of what the root locus shows us?
     
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  9. Micheal1987

    New Member

    May 11, 2017
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    Without integrals, there would not be many modern technologies, in particular, communication facilities, because Orbits of satellites must be counted! And you would not be able to watch live
     
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  10. MrAl

    Distinguished Member

    Jun 17, 2014
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    Hi,

    A simple math example is you go to the store and want to buy some apples, and you see they are 50 cents each. You want to buy 10 apples, so you multiply 0.50 times 10 and come up with the total amount you will have to pay. Simple right :)

    That was simple, but if you can do that they you can do complex numbers too. You just have to learn how to add, subtract, multiply, and divide complex numbers, just like you did when you first learned to add, subtract, multiply and divide when you first started learning math in grammer school.

    A simple example for complex numbers is AC circuit analysis.
    If you can do the "4 banger" math then you can do a number of circuits with not too much trouble.
    Of course a calculator helps here to do that actual math operations.

    There are other operations using complex numbers such as roots, exponents, etc., but you dont have to know these right away, and to do those you just look up how to do that particular operation and then you know that one too. With the simple 4 banger math though you can do a lot just with that knowledge.
     
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  11. Nathaniel Dean

    New Member

    May 30, 2017
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    Politics use tons of math. Such as the usage of P value for effective sampling of surveys and results. Without which, no polls would've been conducted without sampling the entire population. And you hear polls every day on the news!
    Mind you, last election results was a bit off in terms of the polls - but that's within expected range! :)
     
  12. BR-549

    Distinguished Member

    Sep 22, 2013
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    That is just too funny.
     
  13. wayneh

    Expert

    Sep 9, 2010
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    Math describes the natural world we live in and even gives insights into worlds we may or may not live in (I'm thinking of string theory). Math is everywhere and the examples of its applications are endless. You can't so anything that math cannot help us understand. There is no topic that, if you want to understand it at depth and be an expert, you can avoid using math.
     
  14. profbuxton

    Member

    Feb 21, 2014
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    When you go shopping! If one apple costs 50 cents how much would a dozen cost? theres a real life application for you!
     
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