1. plural of commutability; the quality or state of being commutable, or capable of being exchanged, substituted, or reduced.
Usage: formal; technical; often used in mathematics, law, and logic
2. in mathematics, the property that the order of operands does not affect the result of an operation (e.g., addition and multiplication are commutative).
Usage: technical; mathematics

Examples

• The commutabilities of different sentence structures in translation depend on the languages involved.
• In algebra, the commutabilities of basic operations simplify many calculations.
• Legal scholars debated the commutabilities of various penalties under the new sentencing guidelines.
• The commutabilities between different currencies fluctuate based on exchange rates.
• Understanding commutabilities in logic helps clarify which propositions are logically equivalent.