In mathematics, Oka's lemma, proved by Kiyoshi Oka, states that in a domain of holomorphy in Cn, the function –log d(z) is plurisubharmonic, where d is the distance to the boundary.
Oka River | Oka | lemma | Oka Crisis | OKA | lemma (mathematics) | König's lemma | Kiyoshi Oka | Anukokunda Oka Roju | Zorn's lemma | the lemma that is not Burnside's | Schur's lemma | OKA 4wd | Michele Oka Doner | Lemma | Johnson–Lindenstrauss lemma | Hotelling's lemma | Haruo Oka | Fundamental lemma of calculus of variations |
Gilles Boileau, Le silence des Messieurs. Oka, terre indienne
Lisowczycy broke contact with his forces, burned Belyov and Likhvin, took Peremyshl, turned north, defeated Muscovy army at Rzhev, turned to Kara Sea, then to Kashin, burned Torzhok, returned to Poland without any interference from Muscovite forces.
The existence of Aronszajn trees (=-Aronszajn trees) was proven by Nachman Aronszajn, and implies that the analogue of König's lemma does not hold for uncountable trees.
Consequently, this lemma is sometimes referred to as the lemma that is not Burnside's.
National award winning pictures: "oka vurikatha"&Daasi{international awards teken pictures}, and "Kubusam" shooting done here.
Fredrik then signed a contract with society Oka, led by Reidar Knutsen, which took over the costs of manufacturing and marketing.
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At the same time, Bull had contacted an old friend from high school by Nordstrand, Reidar Knutsen who headed the company Oka.
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Its patent rights were acquired by Oka, where Knutsen, loyal to the ideas of Bull, continued the expansion of the machine and the company.
Masayoshi Nagata proved in the 1950s that for any commutative local ring A with maximal ideal m there always exists a smallest ring Ah containing A such that Ah is Henselian with respect to mAh.
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Completeness of a ring is not a necessary condition for the ring to have the Henselian property: Goro Azumaya in 1950 defined a commutative local ring satisfying the Henselian property for the maximal ideal m to be a Henselian ring.
Hotelling's lemma: an economic rule relating the supply of a good to the profit of the good's producer
A monograph compact disc of three works for soloist(s) and orchestra, Talus for viola and orchestra, On a Sufficient Condition for the Existence of Most Specific Hypothesis for solo throat-singer and orchestra, and Kaze-no-Oka for biwa, shakuhachi, and orchestra, was released by the Boston Modern Orchestra Project in 2010.
König's lemma (also known as König's infinity lemma), named after Dénes Kőnig
Lisowski's men broke contact with other forces, burned Belyov and Likhvin, took Peremyshl, turned north, defeated a Muscovite army at Rzhev, turned towards the Kara Sea coast, then to Kashin, burned Torzhok, returned to Commonwealth without any further contact with Muscovy forces.
Upon graduation in 1968, Oka Doner established a studio in downtown Ann Arbor behind the art gallery "Editions, Inc.," where physicist Lloyd Cross and sculptor Jerry Pethick were experimenting with holography.
The river also flows through the towns of Mozhaysk, Zvenigorod, Zhukovsky, Bronnitsy, Voskresensk, and — at the confluence of the Moskva and Oka — Kolomna.
Robin Philpot wrote a book about English Canada's use of the crisis as a political tool following the failed Meech Lake Accord: Oka: dernier alibi du Canada anglais (1991).
The OKA mail truck also carries some general freight and passengers.
It is also connected by the Myza Bridge with Avtozavodsky City District in the lower part of Nizhny Novgorod across the Oka.
Protva River, a river in Moscow and Kaluga Oblasts of Russia; left tributary of the Oka
In contrast to a version of Schur's lemma due to Dixmier, it does not require k to be uncountable.
The drama club of Oka Academy an all girl high school put on the play The Cherry Orchard by Anton Chekhov for the anniversary of the school's founding.
In mathematics, especially in the area of algebra known as module theory, Schanuel's lemma, named after Stephen Schanuel, allows one to compare how far modules depart from being projective.
Henry Scheffé published a proof of the statement on convergence of probability densities in 1947.
In 1878 Katayama travelled to Tokyo to apprentice as a printer while he studied at a small preparatory school, the Oka Juku, where he formed a friendship with Iwasaki Seikichi (岩崎 清吉), nephew of one of the founders of Mitsubishi.
The lemma is named after Ronald Shephard who gave a proof using the distance formula in his book Theory of Cost and Production Functions (Princeton University Press, 1953).
It is produced by Xebec, with character designs by Yūichi Oka, Yoshikazu Iwanami as sound director, and Ryōki Kamitsubo as director.
The language is currently taught in some schools in Oka.
A major stand-off between the two armies ended without a battle in the Treaty of Ugra, by which Velikiy Novgorod was granted to Jogaila's brother Simeon Lingwen, and the important city of Pskov to Jogaila's envoy Jerzy Nos, the latter settlement a clear violation of the treaty of Raciąż.
Kazakov lived in Moscow but spent a good deal of time traveling along the shores of the White Sea, among the provincial towns along the Oka, and in Central Russia and the wooded areas around them.
Zorn's lemma is a proposition used in many areas of theoretical mathematics.
# Banach's extension theorem which is used to prove one of the most fundamental results in functional analysis, the Hahn–Banach theorem
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It occurs in the proofs of several theorems of crucial importance, for instance the Hahn–Banach theorem in functional analysis, the theorem that every vector space has a basis, Tychonoff's theorem in topology stating that every product of compact spaces is compact, and the theorems in abstract algebra that every nonzero ring has a maximal ideal and that every field has an algebraic closure.