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add index rule for i^n in C
author
Andrew Lorimer
<andrew@lorimer.id.au>
Mon, 11 Feb 2019 11:04:39 +0000
(22:04 +1100)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Mon, 11 Feb 2019 11:04:39 +0000
(22:04 +1100)
spec/complex.md
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diff --git
a/spec/complex.md
b/spec/complex.md
index d0b662566a18554c97db9ae06b0ad0824d42fc52..58091702e2e7c0c81da39bdc7a968cd05be29f84 100755
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--- a/
spec/complex.md
+++ b/
spec/complex.md
@@
-53,6
+53,8
@@
Therefore..
- $i^{4n+2} = -1$
- $i^{4n+3} = -i$
+Divide by 4 and take remainder
+
### Multiplying complex expressions
If $z_1 = a+bi$ and $z_2=c+di$, then
@@
-97,7
+99,7
@@
${z_1 \over z_2} = {{(a+bi)(c-di)} \over {c^2+d^2}}$
To solve $z^2+a^2=0$ (sum of two squares):
$z^2+a^2=z^2-(ai)^2$
- $=(z+ai)(z-ai)$
+ $=(z+ai)(z-ai)$
## Polar form