There is a small mistake in my explanation of a + bi/a – bi. I said the “x is the a” (not true!). In this case a = 0, so you have for a + bi, a – bi i and -i.
"The case for my life, then, or for that of any one else who has
been a mathematician in the same sense which I have been one, is this: that I have added something to knowledge, and helped others to add more; and that these somethings have a value which differs in degree only, and not in kind, from that of the creations of the great mathematicians, or of any of the other artists, great or small, who have left some kind of memorial behind them." -G.H. Hardy.
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May 2, 2008 at 2:34 am
There is a small mistake in my explanation of a + bi/a – bi. I said the “x is the a” (not true!). In this case a = 0, so you have for a + bi, a – bi i and -i.