Moessner's theorem (original) (raw)
In number theory, Moessner's theorem or Moessner's magicis related to an arithmetical algorithm to produce an infinite sequence of the exponents of positive integers with by recursively manipulating the sequence of integers algebraically. The algorithm was first published by Alfred Moessner in 1951; the first proof of its validity was given by Oskar Perron that same year. For example, for , one can remove every even number, resulting in , and then add each odd number to the sum of all previous elements, providing .
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| dbo:abstract | In number theory, Moessner's theorem or Moessner's magicis related to an arithmetical algorithm to produce an infinite sequence of the exponents of positive integers with by recursively manipulating the sequence of integers algebraically. The algorithm was first published by Alfred Moessner in 1951; the first proof of its validity was given by Oskar Perron that same year. For example, for , one can remove every even number, resulting in , and then add each odd number to the sum of all previous elements, providing . (en) |
| dbo:wikiPageExternalLink | https://www.youtube.com/watch%3Fv=rGlpyFHfMgI&t=235s&ab_channel=Mathologer |
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| dbo:wikiPageLength | 4192 (xsd:nonNegativeInteger) |
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| dbo:wikiPageWikiLink | dbr:Algorithm dbr:Triangular_number dbc:Number_theory dbr:Number_theory dbr:Oskar_Perron dbr:Partial_sum dbr:Arithmetic dbr:Sequence dbr:Factorial |
| dbp:wikiPageUsesTemplate | dbt:Cite_AV_media dbt:Reflist |
| dct:subject | dbc:Number_theory |
| rdfs:comment | In number theory, Moessner's theorem or Moessner's magicis related to an arithmetical algorithm to produce an infinite sequence of the exponents of positive integers with by recursively manipulating the sequence of integers algebraically. The algorithm was first published by Alfred Moessner in 1951; the first proof of its validity was given by Oskar Perron that same year. For example, for , one can remove every even number, resulting in , and then add each odd number to the sum of all previous elements, providing . (en) |
| rdfs:label | Moessner's theorem (en) |
| owl:sameAs | wikidata:Moessner's theorem dbpedia-he:Moessner's theorem https://global.dbpedia.org/id/Fqzqj |
| prov:wasDerivedFrom | wikipedia-en:Moessner's_theorem?oldid=1072640797&ns=0 |
| foaf:isPrimaryTopicOf | wikipedia-en:Moessner's_theorem |
| is dbo:knownFor of | dbr:Oskar_Perron |
| is dbo:wikiPageWikiLink of | dbr:Oskar_Perron |
| is dbp:knownFor of | dbr:Oskar_Perron |
| is foaf:primaryTopic of | wikipedia-en:Moessner's_theorem |