(追記) (追記ここまで)
Absolute Value of a Complex
Number
Modulus of a Complex Number
The distance between a complex number and the origin on the complex plane. The absolute value of a + bi is written |a + bi|, and the formula for |a + bi| is \(\sqrt {{a^2} + {b^2}}\). For a complex number in polar form r(cos θ + isin θ) the modulus is r.