| 1. | The Risch algorithm shows that Ei is not an elementary function.
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| 2. | Tetration is neither an elementary function nor an elementary recursive function.
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| 3. | The selection of elementary function is the main task in adaptive signal decomposition.
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| 4. | The antiderivatives of certain elementary functions cannot themselves be expressed as elementary functions.
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| 5. | Its solution cannot be expressed by elementary functions in closed form.
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| 6. | The antiderivatives of certain elementary functions cannot themselves be expressed as elementary functions.
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| 7. | It's doubtful that it can be reduced to elementary functions, but I'm not sure.
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| 8. | At the least, you can't do it with elementary functions.
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| 9. | :This kind of problems cannot be solved with elementary functions.
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| 10. | So, this is clearly the case of an elementary function.
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