Mod-arg form

The Modulus-Argument form (Mod-Arg) of a complex number in mathematics is given by the modulus times the the number e raised to the power of i times the argument. The Modulus of a complex number is also known as the magnitude or absolute value of the complex number. It is denoted by |z| where z is a complex number. The modulus can be computed from the real-imaginary form using |z| = sqrt(Re(z)^2 + Im(z)^2). The Argument of a complex number is also known as the phase or phase angle, as it measures the angle that the complex number makes from te x-axis in an Argand diagram. The argument can be calculated fro the real-imaginary form of a complex number using Arg(z} = arctan(Im(x)/Re(z)). For the special case of z = 0, this relationship becomes undefined and the argument can take any value, but is usually taken to be 0.