The function call SortByRank(L,criterion,R) returns the list of the elements of L, sorted according to criterion. The leading ranks of the elements of L are compared. Leading ranks are taken with respect to the ranking of R, or its embedding ring, if R is an ideal.

This command is part of the DifferentialAlgebra:-Tools package. It can be called using the form SortByRank(...) after executing the command with(DifferentialAlgebra:-Tools). It can also be directly called using the form DifferentialAlgebra[Tools][SortByRank](...).

The opts arguments may contain one or more of the options below.

notation = jet, tjet, diff or Diff. Specifies the notation used for the result of the function call. If not specified, the notation of L is used.

memout = nonnegative. Specifies a memory limit, in MB, for the computation. Default is zero (no memory out).