| 11. | The family of all step functions evidently satisfies the above axioms for elementary functions.
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| 12. | In general, integrals in this form cannot be expressed in terms of elementary functions.
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| 13. | He devised the Gal's accurate tables method for the computer evaluation of elementary functions.
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| 14. | Interobjects may have an elementary function in human thought.
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| 15. | Importantly, the elementary functions are " not " closed under Liouville's theorem, see Nonelementary integral.
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| 16. | :The Cumulative distribution function of the Normal distribution does not exist as an elementary function.
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| 17. | An algebraic treatment of elementary functions was started by Joseph Fels Ritt in the 1930s.
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| 18. | Elementary functions were introduced by Joseph Liouville in a series of papers from 1833 to 1841.
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| 19. | However, these numbers are not known to be expressible by themselves in terms of elementary functions.
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| 20. | Then all the terms in the asymptotic series can be expressed in terms of elementary functions.
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