# Thread: What is meant by Im(w_1/w_2)?

1. ## What is meant by Im(w_1/w_2)?

In my elliptic functions course, the lecturer uses the term $\displaystyle Im(\frac{w_1}{w_2})$ where $\displaystyle w_1,w_2\in\mathbb{C}\neq 0$. I can not find out what this means anywhere, is it referring to the imaginary part of $\displaystyle \frac{w_1}{w_2}$ or is it something to do with the image spanned by them? If it is the image then what would the plane be in terms of $\displaystyle w_1$ and $\displaystyle w_2$?

In my elliptic functions course, the lecturer uses the term $\displaystyle Im(\frac{w_1}{w_2})$ where $\displaystyle w_1,w_2\in\mathbb{C}\neq 0$. I can not find out what this means anywhere, is it referring to the imaginary part of $\displaystyle \frac{w_1}{w_2}$ or is it something to do with the image spanned by them? If it is the image then what would the plane be in terms of $\displaystyle w_1$ and $\displaystyle w_2$?
I can't be 100% sure without seeing the context, but in the context of complex numbers $\displaystyle \text{Im}(z)$ almost always denotes the imaginary part of z.