NAME avg - average (arithmetic) mean of values SYNOPSIS avg(x_1, x_2, ...) TYPES x_1, ... arithmetic or list return as determined by types of items averaged DESCRIPTION If there are n non-list arguments x_1, x_2, ..., x_n, for which the required additions and division by n are defined, avg(x_1, x_2, ..., x_n) returns the value of: (x_1 + x_2 + ... + x_n)/n. If the x_i are real, the result will be a real number; if the x_i are real or complex numbers, the result will be a real or complex number. If the x_i are summable matrices the result will be a matrix of the same size (e.g. if the x_i are all 3 x 4 matrices with real entries, the result will be a 3 x 4 matrix with real entries). If an argument x_i is list-valued, e.g. list(y_1, y_2, ...), this is treated as contributing y_1, y_2, ... to the list of items to be averaged. EXAMPLE ; print avg(1,2,3,4,5), avg(list(1,2,3,4,5)), avg(1,2,list(3,4,5)) 3 3 3 ; mat x[2,2] = {1,2,3,4} ; mat y[2,2] = {1,2,4,8} ; avg(x,y) mat [2,2] (4 elements, 4 nonzero): [0,0] = 1 [0,1] = 2 [1,0] = 3.5 [1,1] = 6 LIMITS The number of arguments is not to exceed 1024. LINK LIBRARY none SEE ALSO hmean ## Copyright (C) 1999-2006,2021 Landon Curt Noll ## ## Calc is open software; you can redistribute it and/or modify it under ## the terms of the version 2.1 of the GNU Lesser General Public License ## as published by the Free Software Foundation. ## ## Calc is distributed in the hope that it will be useful, but WITHOUT ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY ## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General ## Public License for more details. ## ## A copy of version 2.1 of the GNU Lesser General Public License is ## distributed with calc under the filename COPYING-LGPL. You should have ## received a copy with calc; if not, write to Free Software Foundation, Inc. ## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. ## ## Under source code control: 1994/09/25 20:22:31 ## File existed as early as: 1994 ## ## chongo /\oo/\ http://www.isthe.com/chongo/ ## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/