diff --git a/src/complex.typ b/src/complex.typ index 1191089..aaf59ae 100644 --- a/src/complex.typ +++ b/src/complex.typ @@ -5,7 +5,7 @@ == [TEXT] It's a miracle that multiplication in $CC$ has geometric meaning Let $CC$ denote the set of complex numbers (just as $RR$ denotes the real numbers). -It's important that realize that, *until we add in complex multiplication, +It's important to realize that, *until we add in complex multiplication, $CC$ is just an elaborate $RR^2$ cosplay*. #figure( @@ -294,7 +294,7 @@ $ z^5 = 243 i $ to start. Again, first we want to convert everything to polar coordinates: $ z^5 = 243 i = 243 (cos 90 degree + i sin 90 degree). $ At this point, we know that if $|z^5| = 243$, then $|z| = 3$; -all the answers should have absolute $3$. +all the answers should have an absolute value of $3$. So the idea is to find the angles. Here are the five answers: