Click here to purchase the entire book in PDF format. Complex Conjugates Complex math has an extra relationship that doesn't really have a corresponding equivalent in normal math. This relationship is called a complex conjugate but don't worry - it's not terribly complicated. The complex conjugate of a complex number is defined as the same number, but with the polarity of the imaginary component inverted. So: the complex conjugate of (a + bj) is (a - bj) A complex conjugate is usually abbreviated by drawing a line over the number. So: $$\overline{(a + jb)} = (a - jb)$$ (2.52)