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Jidong Xiao
2023-10-15 21:10:03 -04:00
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## 14.1 Complex Numbers — A Brief Review ## 14.1 Complex Numbers — A Brief Review
- Complex numbers take the form z = a + bi, where i = - Complex numbers take the form z = a + bi, where i = √1 and a and b are real. a is called the real part, b is called the imaginary part.
1 and a and b are real. a is called the real part, b is
called the imaginary part.
- If w = c + di, then - If w = c + di, then
w + z = (a + c) + (b + d)i, w + z = (a + c) + (b + d)i,
w z = (a c) + (b d)i, and w z = (a c) + (b d)i, and
w × z = (ac bd) + (ad + bc)i w × z = (ac bd) + (ad + bc)i
- The magnitude of a complex number is - The magnitude of a complex number is &radic;a<sup>2</sup> + b<sup>2</sup>;
a
2 + b
2
## 14.2 Complex Class declaration (complex.h) ## 14.2 Complex Class declaration (complex.h)