Etymology
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*mei- (1)
Proto-Indo-European root meaning "to change, go, move," "with derivatives referring to the exchange of goods and services within a society as regulated by custom or law" [Watkins].

It forms all or part of: amiss; amoeba; azimuth; common; commune; communicate; communication; communism; commute; congee; demean; emigrate; emigration; excommunicate; excommunication; immune; immutable; incommunicado; mad; mean (adj.1) "low-quality;" mew (n.2) "cage;" mews; migrate; migration; mis- (1) "bad, wrong;" mistake; Mithras; molt; Mstislav; municipal; munificent; mutable; mutant; mutate; mutation; mutatis mutandis; mutual; permeable; permeate; permutation; permute; remunerate; remuneration; transmutation; transmute; zenith.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit methati "changes, alternates, joins, meets;" Avestan mitho "perverted, false;" Hittite mutai- "be changed into;" Latin mutare "to change," meare "to go, pass," migrare "to move from one place to another," mutuus "done in exchange;" Old Church Slavonic mite "alternately;" Czech mijim "to go by, pass by," Polish mijać "avoid;" Gothic maidjan "to change."
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*weik- (2)

also *weig-, Proto-Indo-European root meaning "to bend, to wind."

It forms all or part of: vetch; vicar; vicarious; vice- "deputy, assistant, substitute;" viceregent; vice versa; vicissitude; weak; weakfish; week; wicker; wicket; witch hazel; wych.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit visti "changing, changeable;" Old English wac "weak, pliant, soft," wician "to give way, yield," wice "wych elm," Old Norse vikja "to bend, turn," Swedish viker "willow twig, wand," German wechsel "change."

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*keie- 

also keiə-, Proto-Indo-European root meaning "to set in motion."

It might form all or part of: behest; cinema; cinematography; citation; cite; excite; hest; hight; hyperkinetic; incite; kinase; kinematics; kinesics; kinesiology; kinesis; kinesthesia; kinesthetic; kinetic; kineto-; kino-; oscitant; recital; recitation; recite; resuscitate; solicit; solicitous; suscitate; telekinesis.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit cyavate "stirs himself, goes;" Greek kinein "to move, set in motion; change, stir up," kinymai "move myself;" Latin ciere (past participle citus, frequentative citare) "to set in motion, summon;" Gothic haitan "call, be called;" Old English hatan "command, call."  

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