| dbo:abstract |
Jacques Touchard (1885–1968) was a French mathematician. In 1953, he proved that an odd perfect number must be of the form 12k + 1 or 36k + 9. In combinatorics and probability theory, he introduced the Touchard polynomials. He is also known for his solution to the ménage problem of counting seating arrangements in which men and women alternate and are not seated next to their spouses. (en) Jacques Touchard (1885 – 1968) est un mathématicien français, connu pour ses travaux en combinatoire. (fr) ジャック・トゥシャール (Jacques Touchard, 1885年 – 1968年 ) は、フランスの数学者。奇数の完全数の性質の必要条件の定理で知られる。他にも、確率論の分野で、トゥシャール多項式の提唱者である。 (ja) Jacques Touchard (1885 — 1968) foi um matemático francês. Em 1953 provou que um número perfeito ímpar deve ser da forma 12k + 1 ou 36k + 9. Em combinatória e teoria das probabilidades introduziu os . É também conhecido por sua solução do de determinação do arranjo de assentos nos quais homens e mulheres se alternam e casais não estão sentados ao lado de seu parceiro. (pt) |
| dbo:wikiPageExternalLink |
http://www-math.mit.edu/~rstan/ec/catalan.pdf https://books.google.com/books%3Fid=x34z99fCRbsC&pg=PA305&lpg=PA305&dq=who+was+Jacques+Touchard&source=bl&ots=eQp9nfmDrw&sig=P1viS6LnE8gdNGL9q7Awe_UnMOA&hl=en&sa=X&ved=0ahUKEwjA5N77yOHVAhUB6YMKHQGSCJEQ6AEIVDAJ%23v=onepage&q=who%20was%20Jacques%20Touchard&f=false |
| dbo:wikiPageID |
2279627 (xsd:integer) |
| dbo:wikiPageLength |
2126 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1109241410 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Ménage_problem dbr:Richard_P._Stanley dbc:Place_of_birth_missing dbr:French_people dbr:Generating_function dbr:Combinatorics dbr:Functional_equation dbr:Perfect_number dbr:Mathematician dbc:1885_births dbc:1968_deaths dbc:People_from_Basel-Landschaft dbc:French_mathematicians dbr:Probability_theory dbr:Touchard_polynomials dbr:Catalan_number dbr:Series_(mathematics) |
| dbp:wikiPageUsesTemplate |
dbt:Authority_control dbt:Short_description dbt:Unreferenced dbt:France-mathematician-stub |
| dct:subject |
dbc:Place_of_birth_missing dbc:1885_births dbc:1968_deaths dbc:People_from_Basel-Landschaft dbc:French_mathematicians |
| gold:hypernym |
dbr:Mathematician |
| schema:sameAs |
http://viaf.org/viaf/6193151304668349460005 |
| rdf:type |
owl:Thing dbo:Person yago:CausalAgent100007347 yago:LivingThing100004258 yago:Mathematician110301261 yago:Object100002684 yago:Organism100004475 yago:Person100007846 yago:PhysicalEntity100001930 yago:YagoLegalActor yago:YagoLegalActorGeo yago:Scientist110560637 yago:Whole100003553 yago:WikicatFrenchMathematicians |
| rdfs:comment |
Jacques Touchard (1885–1968) was a French mathematician. In 1953, he proved that an odd perfect number must be of the form 12k + 1 or 36k + 9. In combinatorics and probability theory, he introduced the Touchard polynomials. He is also known for his solution to the ménage problem of counting seating arrangements in which men and women alternate and are not seated next to their spouses. (en) Jacques Touchard (1885 – 1968) est un mathématicien français, connu pour ses travaux en combinatoire. (fr) ジャック・トゥシャール (Jacques Touchard, 1885年 – 1968年 ) は、フランスの数学者。奇数の完全数の性質の必要条件の定理で知られる。他にも、確率論の分野で、トゥシャール多項式の提唱者である。 (ja) Jacques Touchard (1885 — 1968) foi um matemático francês. Em 1953 provou que um número perfeito ímpar deve ser da forma 12k + 1 ou 36k + 9. Em combinatória e teoria das probabilidades introduziu os . É também conhecido por sua solução do de determinação do arranjo de assentos nos quais homens e mulheres se alternam e casais não estão sentados ao lado de seu parceiro. (pt) |
| rdfs:label |
Jacques Touchard (fr) Jacques Touchard (en) ジャック・トゥシャール (ja) Jacques Touchard (pt) |
| owl:sameAs |
freebase:Jacques Touchard http://viaf.org/viaf/6193151304668349460005 yago-res:Jacques Touchard wikidata:Jacques Touchard dbpedia-fr:Jacques Touchard http://ht.dbpedia.org/resource/Jacques_Touchard dbpedia-ja:Jacques Touchard dbpedia-pt:Jacques Touchard https://global.dbpedia.org/id/2pSEe |
| prov:wasDerivedFrom |
wikipedia-en:Jacques_Touchard?oldid=1109241410&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Jacques_Touchard |
| is dbo:wikiPageDisambiguates of |
dbr:Touchard |
| is dbo:wikiPageRedirects of |
dbr:Jacque_Touchard |
| is dbo:wikiPageWikiLink of |
dbr:Judy_A._Holdener dbr:List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers dbr:Touchard dbr:Outline_of_combinatorics dbr:Jacque_Touchard |
| is foaf:primaryTopic of |
wikipedia-en:Jacques_Touchard |