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

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    What is meant by Im(w_1/w_2)?

    In my elliptic functions course, the lecturer uses the term Im(\frac{w_1}{w_2}) where 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 \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 w_1 and w_2?

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  2. #2
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    Quote Originally Posted by stuckonmaths View Post
    In my elliptic functions course, the lecturer uses the term Im(\frac{w_1}{w_2}) where 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 \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 w_1 and w_2?
    I can't be 100% sure without seeing the context, but in the context of complex numbers \text{Im}(z) almost always denotes the imaginary part of z.
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