Question 493427
The modulus is simply the magnitude or absolute value. For a complex number, it is simply


*[tex \LARGE z = \sqrt{(z_1)^2 + (z_2)^2}]


where z_1 and z_2 are the real and imaginary parts, respectively. For a "complex" number in n dimensions (e.g. quaternion, octonion, etc.) the magnitude works in a similar way:


*[tex \LARGE z = \sqrt{(z_1)^2 + ... + (z_n)^2}]


You'll have to provide how to minimize/maximize z, because I need to know what context or parameters you are referring to.