| 11. | These are all examples of multivalued functions that come about from non-injective functions.
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| 12. | :: : : See Exponentiation # Roots of arbitrary complex numbers and multivalued function.
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| 13. | Often, the restriction of a multivalued function is a partial inverse of the original function.
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| 14. | The term " multivalued function " is, therefore, a misnomer because functions are single-valued.
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| 15. | Therefore, a multivalued dependency is a special case of " tuple-generating dependency ".
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| 16. | Ronald Fagin demonstrated that it is always possible to achieve 4NF . Rissanen's theorem is also applicable on multivalued dependencies.
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| 17. | 2-ary join dependencies are called multivalued dependency as a historical artifact of the fact that they were studied before the general case.
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| 18. | In complex analysis, the "'principal values "'of a multivalued function are the values along one chosen real number.
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| 19. | In contrast to the functional dependency, the "'multivalued dependency "'requires that certain tuples be present in a relation.
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| 20. | :Be careful because e ^ z is not one-to-one ( i . e . logarithm is a multivalued function ).
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