User:Adam majewski

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Some notes from | wikipedia

$Z^2$$Real = x^2 - y^2$$Imag = 2 * x * y$

$Z^3$$Real = x^3 - 3* y^2 * x$$Imag = 3 * x^2 * y - y^3$

$Z^4$$Real = x^4 - 6 * x^2 * y^2 + y^4$$Imag = 4*x^3 * y - 4 * x * y^3$

$Z^5$$Real = x^5 - 10 * x^3 * y^2 + 5 * x * y^4$$Imag = 5*x^4 * y - 10 * x^2 * y^3 + y^5$

$Z^6$$Real = x^6 - 15 * x^4 * y^2 +15 * x^2 * y^4 - y^6$$Imag = 6*x^5 * y - 20 * x^4 * y^2 + 6* x * y^5$

$Z^7$$Real = x^7 - 21 * x^5 * y^2 + 35 * x^3 * y^4 - 7 * x * y^6$$Imag = 7*x^6 * y - 35 * x^4 * y^3 + 21* x^2 * y^5 - y^7$,

$Exp(Z)$$Real = Exp(x) * Cos(y)$   $Imag = Exp(x) * Sin(y)$

$Ln(Z)$$Real = 0.5 * Ln(x^2 + y^2)$   $Imag = Arctan(y/x)$

$Sin(Z)$$Real = Sin(x) * ((Exp(y) + Exp(-y))/2)$   $Imag = Cos(x) * ((Exp(y) - Exp(-y))/2)$

$Cos(Z)$$Real = Cos(x) * ((Exp(y) + Exp(-y))/2)$   $Imag = -Sin(x) * ((Exp(y) - Exp(-y))/2)$

$SinH(Z)$$Real = Cos(y) * ((Exp(x) - Exp(-x))/2)$   $Imag = Sin(y) * ((Exp(x) + Exp(-x))/2)$

$CosH(Z)$$Real = Cos(y) * ((Exp(x) + Exp(-x))/2)$   $Imag = Sin(y) * ((Exp(x) - Exp(-x))/2)$

pl-N	Polski jest językiem ojczystym tego użytkownika.

en-2	This user can read and write intermediate English.

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