Usually means: Professorship in mathematics at Cambridge.
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We found 3 dictionaries that define the word lucasian:

General (2 matching dictionaries)
  1. Lucasian, lucasian: Wordnik
  2. Lucasian: Wiktionary

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  1. Lucasian: Urban Dictionary

Definitions from Wiktionary (Lucasian)

adjective:  (economics) Of or pertaining to American economist Robert Lucas Jr..
adjective:  (mathematics) Of or pertaining to Henry Lucas (c. 1610–1663), Member of Parliament for Cambridge University and founder of the Lucasian Chair of Mathematics.
adjective:  (rare) Of or pertaining to the American filmmaker George Lucas, known for his blockbuster space opera films.
noun:  (economics) A follower of the theories of American economist Robert Lucas Jr..

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