26 Algorithms library [algorithms]

26.10 Generalized numeric operations [numeric.ops]

26.10.2 Definitions [numerics.defns]

Define GENERALIZED_NONCOMMUTATIVE_SUM(op, a1, , aN) as follows:
  • a1 when N is 1, otherwise
  • op(GENERALIZED_NONCOMMUTATIVE_SUM(op, a1, , aK),
    op(GENERALIZED_NONCOMMUTATIVE_SUM(op, aM, , aN)) for any K where .
Define GENERALIZED_SUM(op, a1, , aN) as GENERALIZED_NONCOMMUTATIVE_SUM(op, b1, , bN),
where b1, , bN may be any permutation of a1, , aN.