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KKMS Lemma
KKMS may refer to: * Knaster–Kuratowski–Mazurkiewicz lemma#The KKMS theorem, in mathematics and economics * KKMS (AM), a radio station (980 AM) licensed to serve Richfield, Minnesota, United States * The Kidd Kraddick Morning Show, an American syndicated morning radio show. {{Disambiguation, callsign ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Knaster–Kuratowski–Mazurkiewicz Lemma
The Knaster–Kuratowski–Mazurkiewicz lemma is a basic result in mathematical fixed-point theory published in 1929 by Knaster, Kuratowski and Mazurkiewicz. The KKM lemma can be proved from Sperner's lemma and can be used to prove the Brouwer fixed-point theorem. Statement Let \Delta_ be an (n-1)-dimensional simplex with ''n'' vertices labeled as 1,\ldots,n. A KKM covering is defined as a set C_1,\ldots,C_n of closed sets such that for any I \subseteq \, the convex hull of the vertices corresponding to I is covered by \bigcup_C_i. The KKM lemma says that in every KKM covering, the common intersection of all ''n'' sets is nonempty, i.e: :\bigcap_^n C_i \neq \emptyset. Example When n=3, the KKM lemma considers the simplex \Delta_2 which is a triangle, whose vertices can be labeled 1, 2 and 3. We are given three closed sets C_1,C_2,C_3 such that: * C_1 covers vertex 1, C_2 covers vertex 2, C_3 covers vertex 3. * The edge 12 (from vertex 1 to vertex 2) is covered by the sets C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
KKMS (AM)
KKMS (980 kHz "The Mission") is a commercial AM radio station licensed to Richfield, Minnesota, and serving the Minneapolis-St. Paul radio market. It is owned by the Salem Media Group and broadcasts a Christian talk and teaching radio format. The transmitter and radio studios are on Cliff Road near Minnesota State Highway 77 in Eagan. The station uses a brokered programming system, where national and local religious leaders buy time on the station and may use their programs to seek donations to their ministries. Some national hosts on KKMS include John MacArthur, Alistair Begg, David Jeremiah, J. Vernon McGee, June Hunt and Jim Daly. Several Salem Radio Network conservative talk hosts are also heard on the station, Eric Metaxas, Jay Sekulow and Charlie Kirk. The station produces a local afternoon show, "Crosswalk with Lee Michaels." History WPBC The People's Broadcasting Company, founded by former WCCO announcer Bill Stewart and his wife Becky Ann, obtained a constructi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
