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Thread: I hate Argand diagrams...

  1. #1

    Thread Starter
    Hyperactive Member DavidHooper's Avatar
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    I hate Argand diagrams...

    ...yes I really do hate them. A lot.

    Does anyone know where to plot e^i?
    There are 10 types of people in the world - those that understand binary, and those that don't.

  2. #2
    Hyperactive Member thinktank2's Avatar
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    e^i is actually 1*e^(1*i) [r*e^iq polar form]

    so,

    r = Ö(a^2+b^2) = 1
    a = 1.cosq
    b = 1.sinq

    q = 1 radian

    => a = cos1, b = sin1

    Plot a,b on the argand diagram.

  3. #3

    Thread Starter
    Hyperactive Member DavidHooper's Avatar
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    Red face

    Run that past me again a bit slower will you?
    There are 10 types of people in the world - those that understand binary, and those that don't.

  4. #4
    Hyperactive Member noble's Avatar
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    what thinktank is saying is that e^i is in polar form

    the standard form for a vector in polar form is like thinktank said...
    r*e^(i*theta)

    in your case, r, the coefficient is equal to 1, and so is theta

    he is then solving for the values of a and b now that you have
    r and theta where:

    r = sqrt(a^2 + b^2)
    a = r*sin (theta)
    b = r*cos (theta)

    again, r=1, theta = 1 rads

    so a = 1*sin (1) and b = 1*cos(1)

    figure out these values then plot them
    Bababooey
    Tatatoothy
    Mamamonkey

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