TU Wien:Algebra und Diskrete Mathematik UE (diverse)/Übungen SS19/Beispiel 36
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Revision as of 16:52, 7 March 2019 by Gittenborg (talk | contribs) (Gittenborg verschob die Seite TU Wien:Algebra und Diskrete Mathematik UE (diverse)/Übungen WS18/Beispiel 36 nach TU Wien:Algebra und Diskrete Mathematik UE (diverse)/Übungen SS19/Beispiel 36 und überschrieb dabei eine Weiterleitung: verschie…)
![{\displaystyle {\sqrt[{4}]{1+i}}}](https://wikimedia.org/api/rest_v1/media/math/render/png/f836a65c662b4fa95f74fa6378a73f7c9b3d0995)
in der Form ![{\displaystyle [r,\phi ]}](https://wikimedia.org/api/rest_v1/media/math/render/png/3023940f8ea6433f0a202b8392f19d062f861ba3)
.![{\displaystyle z_{1}=1+i=[{\sqrt {2}},{\frac {\pi }{4}}]}](https://wikimedia.org/api/rest_v1/media/math/render/png/2e71d8eb8fb2cf816edfd155bd12d3c47c39f962)
= arctan(b/a)
![{\displaystyle {\sqrt[{n}]{z}}=[{\sqrt[{n}]{r}},{\frac {\phi }{n}}+{\frac {2k\pi }{n}}]}](https://wikimedia.org/api/rest_v1/media/math/render/png/f31847aeab5b36527d91e082ccbbd4367c1aef97)
![{\displaystyle w_{0}=[{\sqrt[{8}]{2}},{\frac {\pi }{16}}]}](https://wikimedia.org/api/rest_v1/media/math/render/png/1674d442aa7f0aca30923ae29d386d1bcd7481ab)
![{\displaystyle w_{1}=[{\sqrt[{8}]{2}},{\frac {\pi }{16}}+{\frac {\pi }{2}}]}](https://wikimedia.org/api/rest_v1/media/math/render/png/2430fd927fa4c15d3a05fbe56f2e04b1df5e165f)
![{\displaystyle w_{2}=[{\sqrt[{8}]{2}},{\frac {\pi }{16}}+\pi ]}](https://wikimedia.org/api/rest_v1/media/math/render/png/34d3aced7f2ff1bbdefb02db28afc2b174caef57)
![{\displaystyle w_{3}=[{\sqrt[{8}]{2}},{\frac {\pi }{16}}+{\frac {3\pi }{2}}]}](https://wikimedia.org/api/rest_v1/media/math/render/png/02a21f5b46c2164e004a093c8229dac46f6cb0ba)