Chances are, you may have used a function named "cumsum" or the equivalent of that in your life. Well, what if I told you that it is possible to run the cumsum function a fraction number of times and you can even undo it?
Today, we are going to talk about fractional cumsum.
But first, we need to introduce cumsum.
Essentially, cumsum is a linear transformation. It can be shown that the transformation matrix is a lower triangular matrix with all 1's in the lower triangular matrix.
Because of this, the determinant is 1, which means that the linear transformation matrix is non-singular, meaning that cumsum can be undone, and can even be done a fraction number of times.
This is just a proof of concept. How it could be done is mentioned in my previous blog post. I am not listing it here due to time constraints. Bye.