Examples

The following are some examples of multiple-valued functions. In each case, the branch is identified with a different color. Click on the following functions or scroll down to explore.

Imaginary component of $f(z)=z^{1/2}$

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Imaginary component of $f(z)=z^{1/3}$

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Imaginary component of $f(z)=\sqrt{1-z^2}$

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Imaginary component of $f(z)=\frac{1}{\sqrt{1-z^2}}$

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Imaginary component of $f(z)=\arctan(z)$

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Note: All applets made with MathCell created by Paul Masson. The source code is available here.

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