Last modified on 8 November 2013, at 17:18

User:Adam majewski

Hi,

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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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