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Post by mondo on Dec 4, 2022 6:31:12 GMT
In the subchapter "Breakdown of Conformality" page 205 authors says without a prove "When the $z^2$ mapping acts on a pair of rays through the critical point $z = 0$, it fails to preserve the angle between them; in fact it doubles it". I read a few more pages until the end of this subsection trying to find an explanation for it but I didn't get it. So, why the $z^2$ mapping of rays through a critical point like $z = 0$ causes the angle between rays to be doubled?
Thank you.
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Post by Admin on Dec 4, 2022 8:04:11 GMT
In the subchapter "Breakdown of Conformality" page 205 authors says without a prove "When the $z^2$ mapping acts on a pair of rays through the critical point $z = 0$, it fails to preserve the angle between them; in fact it doubles it". I read a few more pages until the end of this subsection trying to find an explanation for it but I didn't get it. So, why the $z^2$ mapping of rays through a critical point like $z = 0$ causes the angle between rays to be doubled? Thank you. Mondo Just look at figure 1 on page 190. Vasco |
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Post by mondo on Dec 4, 2022 22:24:04 GMT
Right, thank you.
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