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What is an open book?

What is an open book? Here are some definitions.

Noun
  1. (idiomatic) Something of which salient aspects are obvious or easily interpreted.
  2. (idiomatic) A person who through naivete responds candidly to questions or openly displays their emotions or intentions.
  3. (mathematics) An open book decomposition.
  4. (climbing) An inside angle in the rock.
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