The summation amplitude or argument of a complex number refers to the angle between the positive real axis and the line connecting the origin (0) to the complex number in the complex plane. It is also known as the argument, phase angle, or angle of a complex number.
The argument of a complex number, denoted by arg(z), is typically measured in radians or degrees. It provides information about the direction or orientation of the complex number in the complex plane. The argument is defined as the angle θ such that:
z = |z| * e^(iθ),
where |z| represents the magnitude or modulus of the complex number z, and e^(iθ) is the complex exponential with angle θ.
In other words, if you have a complex number z = a + bi (where a is the real part and b is the imaginary part), you can calculate its argument using trigonometric functions:
arg(z) = atan(b/a),
where atan refers to the inverse tangent function.
The argument of a complex number provides important information about its properties, such as its phase, direction, or orientation in the complex plane.