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Analytical Synthesis

Analytical Synthesis. Euler (1777), i = ? -1. i 2 = -1. O. A. A?. OA? = - OA. i 2 represents 180 o rotation of a vector. OA? = i 2 OA. i represents 90 o rotation of a vector. Argand Diagram. x = rcos ( ? ) y = rsin ( ? ). r = rcos ( ? ) + i rsin ( ? ). iy.

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Analytical Synthesis