25 Algorithms library [algorithms]

25.10 Generalized numeric operations [numeric.ops]

25.10.1 Definitions [numerics.defns]

1
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Define GENERALIZED_­NONCOMMUTATIVE_­SUM(op, a1, ..., aN) as follows:
  • (1.1)
    a1 when N is 1, otherwise
  • (1.2)
    op(GENERALIZED_­NONCOMMUTATIVE_­SUM(op, a1, ..., aK),
    op(GENERALIZED_­NONCOMMUTATIVE_­SUM(op, aM, ..., aN)) for any K where .
2
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Define GENERALIZED_­SUM(op, a1, ..., aN) as GENERALIZED_­NONCOMMUTATIVE_­SUM(op, b1, ..., bN), where b1, ..., bN may be any permutation of a1, ..., aN.