Which Joe gave his name to ‘sloppy joes’? We look at five interesting sandwiches and their lexical origins.
Definition of commutative in English:
commutative
adjective
Mathematics1Involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g., a × b = b × a.
- ‘In the density-independent case, this multiplication is commutative.’
- ‘So, the addition and multiplication we are used to using are commutative.’
- ‘An operation is commutative if you can change the order of the numbers involved without changing the result.’
- ‘This is a consequence of large rotations not being commutative in three dimensions, so the averages are not accurate in regions of high variability.’
- ‘In the 1840s, the Irish mathematician William Hamilton found that multiplication was not commutative in all number systems.’
- 1.1rare Relating to or involving substitution or exchange.
- ‘Of course, the relationship between painting and philosophy is not entirely commutative.’
- ‘The second difficulty was more damaging and, to a degree, commutative with the first.’
Origin
Mid 16th century (in the sense ‘relating to transactions between people’): from French commutatif, -ive or medieval Latin commutativus, from commutat- ‘exchanged’, from the verb commutare (see commute).
Pronunciation
Further reading
6 punctuation marks you might be using incorrectly
Read moreWe take a look at several popular, though confusing, punctuation marks.
An A-Z of country name origins
Read moreFrom Afghanistan to Zimbabwe, discover surprising and intriguing language facts from around the globe.