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.
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| - Jacques Touchard (fr)
- Jacques Touchard (en)
- ジャック・トゥシャール (ja)
- Jacques Touchard (pt)
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| - 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)
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| - 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)
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