Two centuries of the equations of commutativity and associativity of exponentiation

A tétel rövid nézete
dc.contributor.authorLóczi, Lajos
dc.date.accessioned2024-09-04T09:44:44Z
dc.date.available2024-09-04T09:44:44Z
dc.date.issued2003-12-01
dc.description.abstractIn this survey article we guide the reader through the solution of the commutative equation of exponentiation x^y = y^x and that of the associative equation of exponentiation x^(y^z) = (x^y)^z. Various characterizations of the integer, rational, real and complex solutions are discussed together with some new results and open directions. The article is supplemented by a detailed and commented bibliography on the history of these equations.en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 1 No. 2 (2003) , 219-233
dc.identifier.doihttps://doi.org/10.5485/TMCS.2003.0022
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue2
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379506
dc.identifier.volume1
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14696
dc.rights.accessOpen Access
dc.rights.ownerLajos Lóczi
dc.subjectcommutativity of exponentiationen
dc.subjectassociativity of exponentiationen
dc.subjectparametrizations of the solution seten
dc.titleTwo centuries of the equations of commutativity and associativity of exponentiationen
dc.typefolyóiratcikkhu
dc.typearticleen
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Teaching Mathematics and Computer Science (DE-journals)