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KKM may refer to: * Knaster–Kuratowski–Mazurkiewicz lemma, in mathematics * '' Kyo Kara Maoh!'', a series of Japanese light novels * '' Kola Kolaya Mundhirika'', a 2010 Tamil comedy film * ''KKM'', a song by the music group Miracle Legion from their 1996 album ''Portrait of a Damaged Family'' {{disambig ...
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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 ...
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Kyo Kara Maoh!
is a series of Japanese light novels written by Tomo Takabayashi and illustrated by Temari Matsumoto. The story follows the adventures of Yuri Shibuya, an average 15-year-old Japanese high school student, who is suddenly transported to another world where he is told that he is now the king of demons. Yuri becomes the king of a nation where all of the citizens are demons, but they appear indistinguishable from humans. Their only distinguishing traits are their long lives and the ability to use magic. The people of the Demon Tribe are able to make a pact with an element after which they can then use magic of that element. Covenant Castle is in the capital of the Demon Kingdom. It is the residence of the demon king. The culture of The Great Demon Kingdom is very different from the Japanese culture Yuri is accustomed to, and the differences make for amusing mishaps with long-ranging consequences, such as an accidental proposal of marriage. The series was adapted into an anim ...
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Kola Kolaya Mundhirika
''Kola Kolaya Mundhirika'' is a 2010 Indian Tamil-language comedy film written by Crazy Mohan and directed by Madhumitha. The film stars Jayaram, Karthik Kumar, and Shikha along with numerous popular Tamil comedy artists including M. S. Bhaskar, Pandiarajan, Anandaraj, Vasu Vikram and Vaiyapuri playing supporting roles. The film started its shooting on 8 May 2009 and released on 21 May 2010. Cast *Jayaram as Mathrubhootham *Karthik Kumar as Krish * Shikha as Vėní * M. S. Bhaskar as Santhanam *Radha Ravi as Dada Thulukkanam *T. M. Karthik as Dilli *Anandaraj as Veerappan *Pandiarajan as Madan *Delhi Ganesh as Ganesan *Vasu Vikram as Kittu *Vaiyapuri as Rajappan *"Eeramana Rojave" Siva as Jamindar *Devadarshini as Jamindar's wife *Kuyili *Sathish *V. S. Raghavan as Masilamani, retired Jailor *Sarath Kumar as Karan Muthiah (Cameo appearance) Soundtrack Music was composed by Selvaganesh and lyrics were written by Francis Kruba, Na. Muthukumar, Aandal Priyadarshini and Rama ...
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