Sorting and Selecting in MultiLevel Lists?

*To*: mathgroup at smc.vnet.net*Subject*: [mg31163] Sorting and Selecting in MultiLevel Lists?*From*: aes <siegman at stanford.edu>*Date*: Sun, 14 Oct 2001 04:11:58 -0400 (EDT)*Organization*: Stanford University*Sender*: owner-wri-mathgroup at wolfram.com

Suppose I want to Sort, or Select from, a multilevel list, e.g. myList = { {x1,y1}, {x2,y2}, {x3,y3}, . . . } with a Sort or Select criterion that's some function of the xn and yn values For example, I can sort the above list on the value of x^2 + y^2 by using Sort[myList, (Take[#1, 1][[1]]^2 + Take[#1, 2][[1]]^2) < (Take[#2, 1][[1]]^2 + Take[#2, 2][[1]]^2) &] Question: Is there an easier way to get at the "x" and "y" values associated with the #1 and #2 arguments in Sort, or with the # argument in Select, than the awkward Take[#,m][[n]] notation used here?

**Follow-Ups**:**Re: Sorting and Selecting in MultiLevel Lists?***From:*Daniel Lichtblau <danl@wolfram.com>