# Math Help - Parametrization

1. ## 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

2. Originally Posted by wzseow
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

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

3. here's the original question

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

any suggestions?

4. Originally Posted by wzseow
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.

5. Originally Posted by Failure
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.