I have learned the Butterworth filter, normally it is used for low pass design. And the amplitude response is:
$$|H(jw)|=\frac{1}{\sqrt{1+(\frac{w}{w_{c}})^{2n}}}$$
mentioned in this Butterworth Introduction. But as I know, the Butterworth can be designed as a high pass as well. Then what is the amplitude response for high pass? Is it simply like this?
$$|H_{hp}| = \frac{1}{|H(jw)|}$$