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The Collaborative International Dictionary
Commutatively

Commutative \Com*mut"a*tive\, a. [CF. F. commutatif.]

  1. Relative to exchange; interchangeable; reciprocal. -- Com*mut"a*tive"ly, adv.

    Rich traders, from their success, are presumed . . . to have cultivated an habitual regard to commutative justice.
    --Burke.

  2. (Math.) having the property of commutativity.

Wiktionary
commutatively

adv. In a commutative manner.

Usage examples of "commutatively".

Be not Stoically mistaken in the equality of sins, nor commutatively iniquitous in the valuation of transgressions.