divergence

Etymology

It is borrowed from New Latin dīvergentia or from French divergence,^[2][3][4] the Latin noun formed from the present participle of dīvergō (“to go in different directions”), the source of diverge.^[3][4] Dictionary.com and Merriam-Webster call the Latin Medieval Latin,^[5][6] and the Shorter Oxford takes the English word as formed from diverge and -ence, perhaps after the French.^[7] The verb is formed from dis- (“apart”) and vergō (“to bend, turn, incline”),^[3][2] which Watkins reconstructs from Proto-Indo-European *wer- (“to turn, bend”).^[3]

Earliest recorded meaning

The action of moving off in different directions from one point, so that the distance between continually grows: 1656, in Hobbes's Six Lessons.^[2][8] Etymonline dates the noun to the 1650s,^[3] and Dictionary.com to 1650–60.^[5]

Semantic evolution

The verb diverge was at first a term of optics, used of rays.^[3] The noun moved from lines and rays to the parting of paths, courses or views, and to departure from a standard, recorded from 1837.^[2][3][8] In the later 19th century mathematics took it up for a series that diverges (1858) and for a measure of the flux out of a vector field (1878),^[2][8] and in the 20th century meteorology and oceanography used it for air or water flowing outward from a region (1906).^[2][8] Biology uses it for related organisms that become unlike under different conditions.^[6]

Timeline

• 1656 – the action of moving apart from a common point.^[2][8]
• 1837 – figurative: the parting of courses or opinions; departure from a standard.^[2][8]
• 1858 – mathematics: the divergence of a series.^[2]
• 1878 – mathematics: the scalar product of the del operator and a vector.^[2][8]
• 1880 – the amount or degree of divergence.^[2]
• 1906 – meteorology: outward movement of air or ocean currents.^[2][8]

Meanings

Noun

1. The act of moving or spreading apart from a common point, as lines from a common centre: the divergence of the two roads.^[6][9][2]
2. A difference or disagreement, or a growing apart in character, form or opinion: a divergence of views among the partners.^[6][9][2]
3. A departure from a usual course or standard; deviation.^[6][2]
4. Biology: the development of different features by related organisms living in unlike environments.^[6]
5. Mathematics: the property of a series that has no finite limit; also, the scalar product of the del operator and a vector function.^[9][2]
6. Meteorology: the outflow of air from a region.^[9][2]

Word family

• divergency
• nondivergence

Related words

• diverge
• divergent
• convergence
• verge

References

1. ^ Wiktionary, the free dictionary, https://en.wiktionary.org
2. ^ a b c d e f g h i j k l m n o p q Oxford English Dictionary Online (accessed March 2026), Oxford: Oxford University Press
3. ^ a b c d e f g Harper, Douglas. Online Etymology Dictionary, https://www.etymonline.com
4. ^ a b Klein, Ernest. A Comprehensive Etymological Dictionary of the English Language. 2 vols. Amsterdam: Elsevier, 1966–1967.
5. ^ a b Dictionary.com Unabridged (2016), based on the Random House Unabridged Dictionary, New York: Random House
6. ^ a b c d e f Merriam-Webster Unabridged Dictionary (2024), online ed., Springfield, Mass.: Merriam-Webster
7. ^ Shorter Oxford English Dictionary on Historical Principles (2002), 5th ed., ed. William R. Trumble and Angus Stevenson, Oxford: Oxford University Press
8. ^ a b c d e f g h Kay, Christian; Roberts, Jane; Samuels, Michael; Wotherspoon, Irené, eds. (2009), Historical Thesaurus of the Oxford English Dictionary, Oxford: Oxford University Press; online edition (2024)
9. ^ a b c d Collins English Dictionary (2023), Glasgow: HarperCollins