单词 | Constant Problem |
释义 | Constant ProblemGiven an expression involving known constants, integration in finite terms, computation of limits, etc., determine if theexpression is equal to Zero. The constant problem is a very difficult unsolved problem in TranscendentalNumber theory. However, it is known that the problem is Undecidable if the expression involves oscillatoryfunctions such as Sine. However, the Ferguson-Forcade Algorithm is a practical algorithm for determining ifthere exist integers ![]() or else establish bounds within which no relation can exist (Bailey 1988).See also Ferguson-Forcade Algorithm, Integer Relation, Schanuel's Conjecture
Bailey, D. H. ``Numerical Results on the Transcendence of Constants Involving Sackell, J. ``Zero-Equivalence in Function Fields Defined by Algebraic Differential Equations.'' Trans. Amer. Math. Soc. 336, 151-171, 1993. |
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