Since higher-order distributions factorize in terms of the one- and twopoint functions, our analysis provides an explicit and complete statistical description of this problem.
The resulting two-body distribution clearly cannot be factorized into two one-body distributions.
It is not immediately apparent how one could factorize the resulting matrix explicitly so the problem appears unsolvable.
For many of the houses investigated, the plan dimensions were quickly factorized to produce a series of simple ratios.
The categorical variables were factorized (dummy variables), and missing values were considered to be another category.
Categorically speaking, this is achieved by taking the solution that uniquely factorizes all the other solutions.
However, (4.10) may be factorized using the matrix equivalent of synthetic division.
When the dressing is neglected, the u-dependence factorizes out as follows: 1 d s 62!