argument (complex number)
A complex number (x+iy) can always be rewritten in the form r(cossymbol theta+isinsymbol theta), in which symbol theta is the argument. Hence, the argument of a complex number z (arg z) is the (normally positive) angle that OP makes with the positive horizontal axis Ox, in which the point P represents the complex number z in an Argand diagram.

The value that lies in a specific interval, such as [0,2symbol PI) or (-symbol PI,+symbol PI], is called the principal value of arg z.

Related Term: complex number

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