diff --git a/README.md b/README.md index 0ecfcd5..5c6e519 100644 --- a/README.md +++ b/README.md @@ -3,6 +3,16 @@ Generalized golden sequences, a form of low discrepancy sequence or quasi random See [Martin Roberts: The Unreasonable Effectiveness of Quasirandom Sequences](http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/) for background. +The `d`-dimensional sequence follows +``` +x[i] = x[i-1] .+ z .% true, x[0] = x0 +``` +where +``` +z = [ϕ[k]^(-i) for i in 1:d] +``` +and `ϕ[k]` solves `ϕ[k]^(d+1) = ϕ[k] + 1` (with `ϕ[1]` the golden mean.) + Golden sequence =============== ```