A number is a degraded form of a complex quantity p + q ^ { \ sqrt {-1 } } and a complex quantity is a degraded form of a quaternion; consequently one meaning which may be assigned to m and n is that of quaternion.
12.
A number is a degraded form of a complex quantity p + q ^ { \ sqrt {-1 } } and a complex quantity is a degraded form of a quaternion; consequently one meaning which may be assigned to m and n is that of quaternion.
13.
Thus taking the real part of the complex quantity inside the parenthesis, the actual voltage consists of a sine wave at frequency ? with a peak amplitude equal to the complex magnitude of V, and with a phase given by the phase of the complex V . Then with the position along a transmission line given by x, with the line ending in a load located at x 0, the complex amplitudes of the forward and reverse waves would be written as:
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