'arbitrarily-changed' originates from the word 'arbitrary,' which comes from the Latin word 'arbitrarius,' meaning 'dependent on the will or judgment of another.'

'arbitrarius' transformed into the Old French word 'arbitraire,' and eventually became the modern English word 'arbitrary,' which is the root of 'arbitrarily-changed.'

Initially, 'arbitrary' meant 'dependent on personal discretion,' but over time it evolved to imply 'random or capricious,' leading to the modern usage in 'arbitrarily-changed.'