I'm searching for a method to assign coefficients summing to one based on relative distance of points from the origin, with the closest distances having the largest coefficients.
For example, if I had points x1, x2, and x3 with distances of 1, 10, and 20, I would want them assigned coefficients of x1 > x2 > x3 with x1 + x2 + x3 = 1, x1 being on the order of 10 * x2 and 20 * x3, and x2 being on the order of 2 * x3.
Even just a name of the sort of thing I'm looking for would be helpful, as I'm not sure what this would even be called.