Ky Fan's lemma (KFL) is a combinatorial lemma about labellings of triangulations. It is a generalization of Tucker's lemma. It was proved by Ky Fan in...
5 KB (792 words) - 11:31, 24 January 2024
The following are named after him: Ky Fan norms Ky Fan inequality Ky Fan inequality (game theory) Ky Fan lemma Sur quelques notions fondamentales de...
7 KB (694 words) - 12:59, 8 February 2023
lemma Littlewood–Offord lemma Pólya–Burnside lemma Sperner's lemma Ky Fan lemma (combinatorial geometry) Berge's lemma Counting lemma Crossing lemma Expander...
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contains a complementary edge. An easier proof of Tucker's lemma uses the more general Ky Fan lemma, which has a simple algorithmic proof. The following description...
6 KB (869 words) - 13:05, 27 February 2024
simplexes. The proof uses Sperner's theorem, the K-K-M lemma, Gale's covering lemma and Ky Fan's lemma on coincidence points. In some cases, the 'cake' to...
43 KB (5,567 words) - 10:45, 25 June 2024
Kakutani fixed-point theorem (redirect from Ky Fan fixed point theorem)
infinite-dimensional locally convex topological vector spaces by Irving Glicksberg and Ky Fan. To state the theorem in this case, we need a few more definitions: Upper...
25 KB (3,237 words) - 17:53, 11 July 2024
Hardy–Littlewood maximal inequality Inequality of arithmetic and geometric means Ky Fan inequality Levinson's inequality Maclaurin's inequality Mahler's inequality...
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variables over a fixed probability space. This topology is metrizable by the Ky Fan metric: d ( X , Y ) = inf { ε > 0 : P ( | X − Y | > ε ) ≤ ε } {\displaystyle...
40 KB (5,158 words) - 18:21, 7 May 2024
reaction. Ky Fan norms: The sum of the k largest singular values of M is a matrix norm, the Ky Fan k-norm of M. The first of the Ky Fan norms, the Ky Fan 1-norm...
43 KB (5,342 words) - 16:56, 18 February 2024
Pablo Parrilo, Motakuri Ramana, 2005) The Langlands–Shelstad fundamental lemma (Ngô Bảo Châu and Gérard Laumon, 2004) Milnor conjecture (Vladimir Voevodsky...
189 KB (19,472 words) - 06:33, 15 July 2024