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disyntheme

disyntheme Math.
  (daɪˈsɪnθiːm)
  [f. di-2 + syntheme.]
  A system of groups of elements, each of the groups being formed of a certain number of elements, so that each occurs just twice among all the groups. Thus 1 · 2, 2 · 3, 3 · 4, 1 · 4 is a duadic disyntheme—that is, one composed of pairs.

1879 Sylvester in Amer. Jrnl. Math. II. 94 When a disyntheme is formed by means of cycles all of an even order, it will be resolvable into a pair of single synthemes, and in no other case. Ibid., Duadic disyntheme, Any combination of duads, with or without repetition, in which each element occurs twice and no oftener.

Oxford English Dictionary

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