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Math Help - Complex numbers

  1. #1
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    Complex numbers

    Hi there, Im having a little problem with a question on complex numbers.
    What exactly does Y = {Re(z) < 1} mean? This is all z belonging to complex numbers btw, I just couldnt find the symbol...I know that Y represents the set, but I just dont know what that set defines
    Any help would be great, thanks
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  2. #2
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    Re: Complex numbers

    If z=x+iy Re(z)=x so Y is set of all z with x<1
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  3. #3
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    Re: Complex numbers

    Quote Originally Posted by qwerty31 View Post
    What exactly does Y = {Re(z) < 1} mean?
    It should probably say Y = {z | Re(z) < 1}.

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  4. #4
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    Re: Complex numbers

    So does that mean the modulus is less than 1?
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  5. #5
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    Re: Complex numbers

    No, modulus of z= sqrt(x^2+y^2)
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  6. #6
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    Re: Complex numbers

    Quote Originally Posted by emakarov View Post
    It should probably say Y = {z | Re(z) < 1}.

    I think you'll find that should actually be a dotted vertical line, not a solid vertical line...
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