IEVref: 102-02-17 ID: Language: en Status: Standard Term: argument, Synonym1: Synonym2: Synonym3: Symbol: Definition: for a non-zero complex number c, the real number φ restricted to $-\pi <\phi \le \pi$, such that $c=|c|{e}^{j\phi }$Note 1 to entry: The argument $\mathrm{arg}\text{\hspace{0.17em}}c$ of the complex number $c=a+jb=|c|{e}^{j\phi }$ is equal to:$\mathrm{arccos}\text{\hspace{0.17em}}\left(a/\sqrt{{a}^{2}+{b}^{2}}\right)$ if $b\ge 0$ and $-\mathrm{arccos}\text{\hspace{0.17em}}\left(a/\sqrt{{a}^{2}+{b}^{2}}\right)$ if $b<0$, where $0\le \mathrm{arccos}\text{\hspace{0.17em}}x\le \pi$.It is not defined if $a=b=0$. Note 2 to entry: The concept of argument may be applied to complex scalar quantities. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: