complex conjugate

The two definitions are complex conjugates of each other.

It follows that, if is Hermitian, its left and right eigenvectors are complex conjugates.

Here, the asterisk indicates the complex conjugate of f.

These are also real irreps, but as shown above, they split into complex conjugates.

The proof follows exactly the same steps, except that the two matrix elements are no longer complex conjugates.

Let be complex numbers and the overbar represents complex conjugate.

Here is the complex conjugate of and the sum is over all elements of G.

In some sense, these operators play the role of the real numbers (being equal to their own "complex conjugate").

This means that the source and load impedances should be complex conjugates of each other.

For example, 3 + 4i and 3 4i are complex conjugates.