commutativity
Swapping doesn't matter
Commutativity is the property of an operation where changing the order of operands doesn't change the result.
Addition is commutative: 3 + 5 equals 5 + 3.
Multiplication is commutative.
Subtraction and division are not: 5 − 3 doesn't equal 3 − 5.
The concept extends beyond arithmetic to any operation where sequence is irrelevant to outcome.
Joining quantities mathematically
- multiplicationProduct-finding operation
- operandsQuantities in calculations
- sumAddition's result
- productManufactured item for sale
identity · inverse · equation · calculate · numeric · integer · order · interchange
Assembled collection of things
- ringClosed curve shape
- fieldArea of specialty
- associativeConnecting by relationship
- distributiveConcerning fair division
True-or-false valued
- conjunctionWord joining clauses together
- disjunctionState of being apart
- ANDLogical both-true gate
- ORInclusive logic gate
XOR · equivalence · truth table · propositional · bitwise · negation · operator · binary logic
Quality of staying unchanged
- interchangeReciprocal transfer between parties
- reversibilityCan be undone
- equivalenceState of being equal
- bilateralInvolving two parties
Quantity with magnitude only
- diagonalSlanting line or path
- determinantMatrix-derived scalar quantity
- transposeReverse order of elements
- eigenvalueScalar satisfying determinant equation
addition
Joining quantities mathematically
- multiplicationProduct-finding operation
- operandsQuantities in calculations
- sumAddition's result
product · identity · inverse · equation · calculate · numeric · integer · order · interchange · rearrange
group
Assembled collection of things
- ringClosed curve shape
- fieldArea of specialty
- associativeConnecting by relationship
distributive · isomorphism · axiom · structure · closure · theorem · proof
boolean
True-or-false valued
- conjunctionWord joining clauses together
- disjunctionState of being apart
- ANDLogical both-true gate
OR · XOR · equivalence · truth table · propositional · bitwise · negation · operator · binary logic
invariance
Quality of staying unchanged
- interchangeReciprocal transfer between parties
- reversibilityCan be undone
- equivalenceState of being equal
bilateral · transformation · reflection · exchange · interchangeable
scalar
Quantity with magnitude only
- diagonalSlanting line or path
- determinantMatrix-derived scalar quantity
- transposeReverse order of elements
commutativitysubtraction
Removing quantities mathematically
asymmetry · division · cross product · exponentiation · irreversibility
mutual, commute, commuter, mutation, mutable, commuting, commutes, commuted, commuters