Algebraic structures and operator calculus. Vol.1 by Feinsilver P., Schott R.

- ~ ~ For two dimensions, x, y, curl R has only the component ax-fiij' and - J(~;-~:)dXdY= ¢(UdX+VdY).

If then (14) The magnitudes of the vectors are multiplied, and their angles added; multiplication by a complex vector denotes an increase of the angle by the angle of the multiplier and a change in the magnitude by a factor equal to the magnitude of the multiplier. (Fig. 6). For example: f'ea/ f'e8/ l'e8/ Fig. 5. Subtraction of two complex numbers Fig. 6. Multiplication of complex numbers 8

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