Complex Numbers

Although less widely used than the types we’ve been exploring thus far, complex numbers are a distinct core object type in Python. If you know what they are, you know why they are useful; if not, consider this section optional reading.

Complex numbers are represented as two floating-point numbers—the real and imaginary parts—and are coded by adding a j or J suffix to the imaginary part. We can also write complex numbers with a nonzero real part by adding the two parts with a +. For example, the complex number with a real part of 2 and an imaginary part of −3 is written 2 + −3j. Here are some examples of complex math at work:

广告：个人专属 VPN，独立 IP，无限流量，多机房切换，还可以屏蔽广告和恶意软件，每月最低仅 5 美元

>>> 1j * 1J
(-1+0j)
>>> 2 + 1j * 3
(2+3j)
>>> (2 + 1j) * 3
(6+3j)

Complex numbers also allow us to extract their parts as attributes, support all the usual mathematical expressions, and may be processed with tools in the standard cmath module (the complex version of the standard math module). Complex numbers typically find roles in engineering-oriented programs. Because they are advanced tools, check Python’s language reference manual for additional details.