diff --git a/notes/rope.md b/notes/rope.md index 0d412df4..eb8a71ef 100644 --- a/notes/rope.md +++ b/notes/rope.md @@ -238,12 +238,12 @@ cosine part and the imaginary part is the sine part. So, if we have a complex number `a + bi` we can represent it as `r(cos(θ) + i sin(θ))` where `r` is the magnitude of the complex number and `θ` is the angle of the complex number. -And just to clarify this for myself, we we can have a varable like m in the +And just to clarify this for myself, we can have a varable like m in the exponentiation: ``` e^imΘ = cos(m * Θ) + i sin(m * Θ) ``` -So in this case m is scaling the angle theta before calculating the cosine and +So in this case `m` is scaling the angle theta before calculating the cosine and sine of the angle. We can rewrite the above formula as