| 1. | For this reason recursive definitions are very rare in everyday situations.
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| 2. | Nevertheless, inductive-recursive recursive definitions are still considered predicative.
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| 3. | This is done by using a recursive definition similar to the syntax.
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| 4. | An important fixed-point combinator is the recursive definitions.
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| 5. | A generative grammar can be seen as a recursive definition in string theory.
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| 6. | Thus f satisfies the given recursive definition.
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| 7. | Similarly recursive definitions are often used to model the structure of statements in programming languages.
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| 8. | I intend to implement a recursive definition using a user-defined " molecule " datatype.
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| 9. | The formal criteria for what constitutes a valid recursive definition are more complex for the general case.
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| 10. | This implementation follows the recursive definition of the 2N \ times 2N Hadamard matrix H _ N:
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