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Music Player
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MATEMÁTICA PURA
Disciplina: Variáveis Complexas
![](https://static.wixstatic.com/media/26a617_e377724f92d4452d8da35a9d529cfd47.gif)
Transformações Conformes
Exemplo: f(z)=z²
![](https://static.wixstatic.com/media/26a617_c5901acc14294da9837b4c13dcb430f2.png/v1/fill/w_60,h_30,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_c5901acc14294da9837b4c13dcb430f2.png)
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![](https://static.wixstatic.com/media/26a617_bca54b2bfcdb49e5ab514c7195ce5107.png/v1/fill/w_56,h_36,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_bca54b2bfcdb49e5ab514c7195ce5107.png)
F(z)=z²=(x + yi)(x + yi)=xx + xyi + xyi + yyii=(x² - y²) + 2xyi; lembrando que i.i=i²=-1. Assim, u(x,y)=x² - y² e v(x,y)=2xy são, respectivamente, a parte Real e a parte Imaginária da função (transformação) F.
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