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Math Help - Parametrization

  1. #1
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    Parametrization

    How can i obtain a general formula for these coordinates?

    (6,-i pi) , (6,6i) [it involves the complex plane]

    I need them to be in terms of t, for a defined range of t, like

    equation = 6 + i t(xxx) for 0<=t<=1

    that's an example of the range, and I can't figure out how to fill in the xxx

    any advice is greatly appreciated!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by wzseow View Post
    How can i obtain a general formula for these coordinates?

    (6,-i pi) , (6,6i) [it involves the complex plane]

    I need them to be in terms of t, for a defined range of t, like

    equation = 6 + i t(xxx) for 0<=t<=1

    that's an example of the range, and I can't figure out how to fill in the xxx

    any advice is greatly appreciated!
    How about you post the original question? Here you seem to be asking for a continuous parametrisation of a discrete set which makes little sense.

    CB
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  3. #3
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    here's the original question



    I need to know the boundary and equations of 4 paths in order to integrate it.

    any suggestions?
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  4. #4
    Super Member Failure's Avatar
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    Quote Originally Posted by wzseow View Post
    here's the original question



    I need to know the boundary and equations of 4 paths in order to integrate it.

    any suggestions?
    The line segment with endpoints z_1 and z_2 can be paramatrized like this: z(t) = z_1+t\cdot (z_2-z_1), t\in [0,1]. Your path consists of four such line segments.
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  5. #5
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    Quote Originally Posted by Failure View Post
    The line segment with endpoints z_1 and z_2 can be paramatrized like this: z(t) = z_1+t\cdot (z_2-z_1), t\in [0,1]. Your path consists of four such line segments.

    THANK YOU! this is what i've wanted to know.
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