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Across
  1. 1. to disappear entirely without a clear explanation
  2. 3. a sudden start or increase of fighting or disease
  3. 6. a condition or fact that affects a situation
  4. 8. the action or manner of governing a state, organization, etc.
Down
  1. 2. the branch of mathematics dealing with the properties and manipulation of numbers
  2. 4. floating on water
  3. 5. to become longer
  4. 7. the established set of attitudes held by someone