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Soient deux nombres complexes z et w :

z = a + ib;        w = c + id

[z + w]* = [( a + ib) + (c + id)]*

               = [(a + c) + i(b + d)]*

               = [(a + c) - i(b + d)]

               = (a - ib) + (c - id)

               = z* + w*