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Wiktionary
write up

vb. 1 To write about positively. 2 To document the faults of. 3 To produce by writing.

WordNet
write up
  1. n. a short account of the news; "the report of his speech"; "the story was on the 11 o'clock news"; "the account of his speech that was given on the evening news made the governor furious" [syn: report, news report, story, account]

  2. v. bring to public notice by writing, with praise or condemnation; "The New York Times wrote him up last week"; "Did your boss write you up?"

  3. put into writing; write in complete form; "write out a contract" [syn: write out]