| 41. | In this encoding, zero is the empty set:
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| 42. | The Longhorns installed the empty set because they have a wealth of talent at wide receiver.
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| 43. | Initializing with the empty set is an optimistic initialization : all variables start out as dead.
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| 44. | Another omission for convenience is when is an empty set, in which case may not appear.
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| 45. | Then, every number maps to a nonempty set and no number maps to the empty set.
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| 46. | Either or both of the left and right set of a form may be the empty set.
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| 47. | For example, is there an empty set?
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| 48. | This is often paraphrased as " everything is true of the elements of the empty set ."
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| 49. | The empty set and the full space are examples of sets that are both open and closed.
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| 50. | Abstract theory still requires that the set of faces include the polytope itself and the empty set.
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