From: Andrew Lorimer Date: Sun, 3 Mar 2019 08:17:44 +0000 (+1100) Subject: minor formatting corrections in complex notes X-Git-Tag: yr12~230 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/7c695a8cb476f2f5ad02acfc5cba77eeb988b42c?hp=146c682596915cb38d0caa97ec80e0dd97cc7c86 minor formatting corrections in complex notes --- diff --git a/spec/complex.md b/spec/complex.md index b70737f..ce71511 100755 --- a/spec/complex.md +++ b/spec/complex.md @@ -96,12 +96,11 @@ $$|{z}|=\sqrt{a^2+b^2} \quad \therefore z \overline{z} = |z|^2$$ ### Dividing complex numbers -$${{z_1} \over {z_2}} = {{z_1\ {z_2}^{-1}}} = {{z_1 \overline{z_2}} \over {{|z_2|}^2}} \quad \text{multiplicative inverse}$$ - -(using multiplicative inverse) +$${{z_1} \over {z_2}} = {{z_1\ {z_2}^{-1}}} = {{z_1 \overline{z_2}} \over {{|z_2|}^2}} \quad \text{(multiplicative inverse)}$$ In practice, rationalise denominator: -${z_1 \over z_2} = {{(a+bi)(c-di)} \over {c^2+d^2}}$ + +$${z_1 \over z_2} = {{(a+bi)(c-di)} \over {c^2+d^2}}$$ ## Argand planes