DSE 數學公式 (Maths Formula): Complex Number複數公式

Complex Number

i = \sqrt{−1}

i^2 = −1

i^3 = −i

i^4 = 1

🌟每4個為一個循環

If a + bi  = c + di , then a = c and b = d

For a complex number, a + bi  , the real part is a  and the imaginary part is b

If z = a + bi  is real number, then b = 0

If z = a + bi  is purely imaginary number, then a = 0 and b ≠ 0

複數

i = \sqrt{−1}

i^2 = – 1

i^3 = –  i

i^4 = 1

🌟每4個為一個循環

若 a + bi =   c + di  , 則 a = c 及b = d

對於複數, a + bi  , 實部為 a，虛部為 b

若z = a + bi  為實數, 則b = 0

若z = a + bi 為純虛數, 則a = 0 及 b ≠ 0