Oka's lemma

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. This property shows that the domain is pseudoconvex.

References

  • Oka, Kiyoshi (1953), "Sur les fonctions analytiques de plusieurs variables. IX. Domaines finis sans point critique intérieur", Jap. J. Math. 23: 97–155, MR 0071089 
  • Oka

    Oka or OKA may refer to:

  • The Old Kimboltonian Association, the alumni association of Kimbolton School
  • Oka cheese, a Canadian cheese
  • Oka (mass), an Ottoman unit of weight equal to 1.2829 kilograms
  • Oxalis tuberosa or Oca, the root vegetable
  • 16494 Oka, an asteroid
  • 81-760/761 "Oka", a model of subway car used on the Moscow Metro
  • Oka Crisis, a land dispute between the Mohawk Nation and the town of Oka, Canada
  • Naha Airport by IATA airport code
  • Okay Airways by ICAO airline code
  • Tropical Storm Oka, a Pacific storm in 1987
  • Oka (surname), a Japanese surname
  • OKA Direct, a British retailer
  • Cars

  • VAZ-1111 Oka (Lada Oka), a small car designed by AvtoVAZ and produced by ZMA and SeAZ
  • Oka NEV ZEV, a NEV VAZ-1111 (see above) converted by Oka Auto USA
  • OKA 4wd, a large 4-wheel-drive vehicle made in Western Australia by OKA
  • Military

  • 2B1 Oka, Soviet 420 mm self-propelled mortar
  • OTR-23 Oka, a theatre ballistic missile deployed by the Soviet Union
  • Places

  • Oka, Quebec, Canada
  • Oka National Park near Oka, Quebec
  • Ōoka

    Ōoka or Ooka (大岡(おおおか) Ōoka, "large hill") may refer to:

    Location

  • Ōoka River (大岡川 Ōoka-gawa)
  • Ōoka, Nagano (大岡村 Ōoka-mura)
  • Surname

  • Ōoka Tadasuke (大岡忠相 Ōoka Tadasuke) (16771752), Japanese judge, known in English juvenile literature as "Ooka the Wise" or "Solomon in Kimono"
  • Shōhei Ōoka (大岡昇平 Ōoka Shōhei) (19091988), an author
  • Makoto Ōoka (大岡信 Ōoka Makoto) (b. 1931), a poet
  • Tomokazu Ooka (大家友和 Ōka Tomokazu) (born 1976), a Major League Baseball player
  • See also

  • Oka (disambiguation)
  • Ōka (disambiguation)
  • Oka cheese

    Oka is a semi-soft washed rind cheese that was originally manufactured by Trappist monks located in Oka, Quebec, Canada. The cheese is named after the town. It has a distinct flavour and aroma, and is still manufactured in Oka, although now by a commercial company. The rights were sold in 1996 by Les Pères Trappistes to the Agropur cooperative. It is also manufactured in Holland, Manitoba, by Trappist Monks at the Our Lady of the Prairies Monastery, which is located 8 miles southeast of Holland.

    It originated in 1893. Since that time, Quebec has become a major producer of Canadian Cheese. Oka cheese has a pungent aroma and soft creamy flavour, sometimes described as nutty and fruity. The cheese, which is made from cow's milk is covered with a copper-orange, hand-washed rind. Its distinct flavour sets it apart from more common cheeses such as colby and cheddar, and does not go through a cheddaring process.

    There are four types of Oka cheese, regular, classic, light and providence. 'Regular' Oka can be made from both pasteurized and raw cow's milk. It is a pressed, semi-soft cheese that is surface ripened for some 35 days. The 'Classic' is ripened for an additional month. Aging is done in refrigerated aging cellars. The cheese rounds are placed on cypress slats and the cheeses are periodically turned and hand washed in a weak brine solution. 'Providence' Oka is of a much more creamy and soft texture then either 'Classic' or 'Regular', while 'Light' is similar to 'Regular', but with a lower percentage of fat.

    Lemma (botany)

    Lemma is a phytomorphological term used in botany referring to a part of the spikelet of grasses (Poaceae). It is the lowermost of two chaff-like bracts enclosing the grass floret. It often bears a long bristle called an awn, and may be similar in form to the glumes - chaffy bracts at the base of each spikelet. It is usually interpreted as a bract but it has also been interpreted as one remnant (the abaxial) of the three members of outer perianth whorl (the palea may represent the other two members, having been joined together).

    A lemma's shape, their number of veins, whether they are awned or not, and the presence or absence of hairs are particularly important characters in grass taxonomy.

    Lemma (morphology)

    In morphology and lexicography, a lemma (plural lemmas or lemmata) is the canonical form, dictionary form, or citation form of a set of words (headword). In English, for example, run, runs, ran and running are forms of the same lexeme, with run as the lemma. Lexeme, in this context, refers to the set of all the forms that have the same meaning, and lemma refers to the particular form that is chosen by convention to represent the lexeme. In lexicography, this unit is usually also the citation form or headword by which it is indexed. Lemmas have special significance in highly inflected languages such as Arabic, Turkish and Russian. The process of determining the lemma for a given word is called lemmatisation. The lemma can be viewed as the chief of the principal parts, although lemmatisation is at least partly arbitrary.

    Morphology

    In English, the citation form of a noun is the singular: e.g., mouse rather than mice. For multi-word lexemes that contain possessive adjectives or reflexive pronouns, the citation form uses a form of the indefinite pronoun one: e.g., do one's best, perjure oneself. In languages with grammatical gender, the citation form of regular adjectives and nouns is usually the masculine singular. If the language additionally has cases, the citation form is often the masculine singular nominative.

    Lemma (album)

    Lemma is an album composed by John Zorn and featuring violinists David Fulmer, Chris Otto and Pauline Kim which as recorded in New York City in 2012 and released on the Tzadik label in February 2013.

    Reception

    Martin Schray stated "Although John Zorn has been widely acclaimed for his music, his compositions in the field of new classical music deserve more attention".

    Track listing

    All compositions by John Zorn

  • "Apophthegms First Set I" – 0:45
  • "Apophthegms First Set II" – 1:07
  • "Apophthegms First Set III" – 1:44
  • "Apophthegms First Set IV" – 1:23
  • "Apophthegms First Set V" – 1:44
  • "Apophthegms First Set VI" – 1:50
  • "Apophthegms Second Set VII" – 2:41
  • "Apophthegms Second Set VIII" – 1:49
  • "Apophthegms Second Set IX" – 2:05
  • "Apophthegms Second Set X" – 1:20
  • "Apophthegms Second Set XI" – 1:55
  • "Apophthegms Second Set XII" – 2:47
  • "Passagen" – 14:19
  • "Ceremonial Music I" – 5:27
  • "Ceremonial Music II" – 4:05
  • "Ceremonial Music III" – 5:51
  • "Ceremonial Music IV" – 3:49
  • Personnel

  • Chris Otto (tracks 1–12), David Fulmer (tracks 1–12 & 14–17), Pauline Kim (track 13) – violin
  • Podcasts:

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