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Wiktionary
sign up

vb. 1 (context transitive English) To add a name to the list of people who are participating in something. 2 (context intransitive English) To add one's own name to the list of people who are participating in something (gloss: including amateur, but not professional, teams) 3 (context intransitive English) To agree to purchase some good or service.

WordNet
sign up
  1. v. engage by written agreement; "They signed two new pitchers for the next season" [syn: sign, contract, sign on]

  2. join a club, an activity, etc. with the intention to join or participate, "Sign up for yoga classes"