commutative operation造句

• String concatenation is an associative, but non-commutative operation.
• To simplify this discussion we shall assume that is a commutative operation.
• Since XOR is a commutative operation, X XOR Y can be replaced with Y XOR X in any of the lines.
• Furthermore, pixelwise commutative operations remain commutative on image level, independently on focus ( size and position of the rectangular regions ).
• This concept is further generalized into ever-growing sequences of commutative operations, some of which are known to be stable ( and thus may be executed ).
• But in general, for non-commutative operations ( such as the next example of the quaternions ), they are not equivalent, and therefore require separate axioms.
• For example, the order doesn't matter in the multiplication of real numbers, that is,, so we say that the multiplication of real numbers is a commutative operation.
• The main discovery involves optimizations of Paxos when conflicting proposals could be applied in any order . i . e ., when the proposed operations are commutative operations for the state machine.
• For relations, a symmetric relation is analogous to a commutative operation, in that if a relation " R " is symmetric, then a R b \ Leftrightarrow b R a.
• Or else I'm looking for some other way to do encryption and decryption that uses only commutative operations ( like XOR, which is easily broken as a standalone encryption method but may be secure when applied to pseudorandom 32-bit integers ).
• Only precedence ( time order ) in pairs of conflicting ( non-commutative ) operations is important when checking equivalence to a serial schedule, since different schedules consisting of the same transactions can be transformed from one to another by changing orders between different transactions'operations ( different transactions'interleaving ), and since changing orders of commutative operations ( non-conflicting ) does not change an overall operation sequence result, i . e ., a schedule outcome ( the outcome is preserved through order change between non-conflicting operations, but typically not when conflicting operations change order ).