• graph version implies the classical Kőnig's lemma, whereas the converse implication does not hold, since Kőnig's lemma is equivalent to countable choice...
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  • "Diogenes Laertius" is much rarer, used by Stephanus of Byzantium, and in a lemma to the Greek Anthology. He is also referred to as "Laertes" or simply "Diogenes"...
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    mentio fit. apud Amandum König. p. 287. Ethnika 592.18–21,593.1–8, i.e. Stephanus Byzantinus' Ethnika (kat'epitomen), lemma Συράκουσαι Meineke, Augustus...
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  • maximum possible size, we are of course finished. Otherwise, by Berge's lemma, there must exist an augmenting path P with respect to M in the underlying...
    40 KB (5,515 words) - 06:40, 28 September 2024
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    Bernd; Birkemeyer, Claudia; Wyohannis, Dereje; Lemma, Alemayehu; Brigidi, Patrizia; Savkovic, Vulk; König, Brigitte; Candela, Marco; Birkenmeier, Gerd (29...
    48 KB (5,463 words) - 07:39, 8 October 2024
  • Russell9 gave to the set-theoretic antinomies could have persuaded them [J. König, Jourdain, F. Bernstein] that the solution of these difficulties is not...
    31 KB (4,600 words) - 22:35, 6 October 2024
  • the above relation for infinitesimal rotations and the Baker Hausdorff lemma, by equating coefficients of order δ θ {\displaystyle \delta \theta } ,...
    52 KB (9,015 words) - 19:02, 9 July 2024
  • of the numbers of neighbors of all vertices, which (by the handshaking lemma) is proportional to the number of input edges. van Rooij & Wilf (1965) consider...
    43 KB (5,299 words) - 10:28, 5 July 2024