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Complex numbers 1) Formula of Euler :
2) Module of a complex number to ib:
3) Argument of a complex number to ib:
4) cartesian Representation of a complex number :
5) trigonometrical Representation of a complex number :
6) exponential Representation of a complex number : is clearly therefore that |and the q | = 1
7) Describe the module and the phase of the n° complex turning out from the product of 2 complex numbers : The module is the product of the modules and the phase is the sum of is made.
8) Describe the module and the phase of the n° complex turning out from the relationship of 2 complex numbers : The module is the relationship of the modules and the phase is the difference of is made.
9) : | z |2
10) : 2Re(z)
11) : 2Im(z)
12) Calcolo of the root n-esima of a complex number : It can easily be written in exponential shape where the module is worth rn while the argument is |