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given

transitive verb, intransitive verb

adjective

  1. bestowed; presented
  2. accustomed, as from habit or inclination; prone: given to lying
  3. stated; specified: a given date
  4. taken as a premise; assumed; granted: given that ABC is a right triangle
  5. issued or executed (on the specified date by the specified person): used in official documents

noun

that which is assumed to be true or is accepted as a fact

See given in American Heritage Dictionary 4

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