The imaginary unit is represented by im. z = 4 + 3im ◆ Real part real(z) ◆ Imaginary part imag(z) ◆ Complex conjugate conj(z) ◆ Absolute value abs(z) abs2(z)… A function that gets the square of the absolute value
In mathematics, the complex number $ z $ is generally expressed as follows, with the complex number unit being $ i $, $ x $ and $ y $ as real numbers.
z = x + iy
In Julia, the imaginary unit can be $ im $ as well to represent complex numbers. For example, if the real part is 3 and the imaginary part is 4, it will be as follows.
z = 4 + 3im
◆ You can get the real part (real part) with real (z).
◆ You can get the imaginary part (imaginary part) with imag (z).
◆ To get the complex conjugate, use conj (z).
◆ Absolute value of complex number
: point_up_2: Julia allows you to perform four arithmetic operations on complex numbers.
addition subtraction multiplication division ◆ Confirm by numerical calculation that ① below holds.
z = 1 +As 2im\\ zz^* = x^2 + y^2 = |z|^2 ... ①
Calculating $ zz ^ * $ gives:
zz^* = (1 + 2im) * conj(1 + 2im) = 5
Also, if you calculate $ x ^ 2 + y ^ 2 $, it will be as follows.
x^2 + y^2 = 1 + 2^2 = 5
Julia Quick Look Note  How to use variables and constants Julia Quick Look Note  Arithmetic Expressions, Operators [Julia Quick Note  Complex Numbers] (https://qiita.com/ttabata/items/225c77a4d71fafc3e482) Julia Quick Look Note  Regular Expression [Julia quick note  if statement] (https://qiita.com/ttabata/items/4f0bcff1e32f60402dfb)
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: paperclip: Julia --Official page https://julialang.org/
: paperclip: Julia --Japanese official document https://julia-doc-ja.readthedocs.io/ja/latest/index.html
: paperclip: First time Julia and installation (Windows & Linux) https://qiita.com/ttlabo/items/b05bb43d06239f968035
:paperclip: Julia - Mathematics https://docs.julialang.org/en/v1/base/math/
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