adjunction

• n.

• 付加
• (数学)添加

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出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2014/01/21 16:36:01」(JST)

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In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B, then there is typically some formula of the type

(Ax, y) = (x, By).

Specifically, adjoint or adjunction may mean:

• Adjoint endomorphism of a Lie algebra
• Adjoint functors in category theory
• Hermitian adjoint (adjoint of a linear operator) in functional analysis
• For adjoint of a linear map, see transpose
• Adjoint representation of a Lie group
• Adjunction (category theory)
• Adjunction (field theory)
• Adjunction formula (algebraic geometry)
• Adjunction space in topology
• Conjugate transpose of a matrix in linear algebra
• Adjugate matrix, related to its inverse
• Adjoint equation
• The upper and lower adjoints of a Galois connection in order theory
• For the adjoint of a differential operator with general polynomial coefficients see differential operator
• Kleisli adjunction
• Monoidal adjunction
• Quillen adjunction

English Journal

• Is there a role for intraperitoneal administration of heparin in hyperthermic intraperitoneal chemotherapy (HIPEC) for peritoneal carcinomatosis of colorectal cancer origin? Current data and future orientations.

• Seretis F, Seretis C.SourceUniversity of Patras, Medical School, Patras, Greece.
• Medical hypotheses.Med Hypotheses.2013 May 13. pii: S0306-9877(13)00221-1. doi: 10.1016/j.mehy.2013.04.040. [Epub ahead of print]
• In experimental studies, the intraperitoneal administration of heparin has been shown to attenuate cancer growth, reduce the formation of postoperative adhesions and possess immunomodulatory properties of oncological benefit for peritoneal carcinomatosis of colorectal cancer origin. Combined with da
• PMID 23680001

• Long-term outcomes of 118 patients with eosinophilic granulomatosis with polyangiitis (Churg-Strauss syndrome) enrolled in two prospective trials.

• Samson M, Puéchal X, Devilliers H, Ribi C, Cohen P, Stern M, Pagnoux C, Mouthon L, Guillevin L; French Vasculitis Study Group.SourceService de Médecine Interne, Centre National de Référence Vascularites Nécrosantes et Sclérodermie Systémique, Hôpital Cochin, AP-HP, Université Paris Descartes, INSERM U 1060, Paris, France; Service de Médecine Interne et Immunologie Clinique, Hôpital du Bocage, Dijon, France.
• Journal of autoimmunity.J Autoimmun.2013 Apr 13. pii: S0896-8411(13)00040-1. doi: 10.1016/j.jaut.2013.03.003. [Epub ahead of print]
• The purpose of this study was to assess the outcomes of 118 patients with eosinophilic granulomatosis with polyangiitis (EGPA) enrolled in 2 prospective, randomized, open-label clinical trials (1994-2005), with or without Five-Factor Score (FFS)-defined poor-prognosis factors, focusing on survival,
• PMID 23590801

• Thermal ablation therapies in patients with breast cancer liver metastases: a review.

• Vogl TJ, Farshid P, Naguib NN, Zangos S.SourceInstitute for Diagnostic and Interventional Radiology, Johann Wolfgang Goethe University Hospital, Theodor-Stern-Kei 7, 60590 Frankfurt am Main, Germany. T.Vogl@em.uni-frankfurt.de
• European radiology.Eur Radiol.2013 Mar;23(3):797-804. doi: 10.1007/s00330-012-2662-4. Epub 2012 Oct 13.
• BACKGROUND: The liver is involved in about half of patients with metastatic breast cancer. Unfortunately systemic chemotherapy as the treatment of choice is limited. Due to multifocality and/or insufficient remnant liver volume, the majority of liver metastases are also unresectable. Currently, ther
• PMID 23064713

Japanese Journal

• On the lack of reconstruction effects : interaction of late-adjunction, linearization, and semantic interpretation

• Tomizawa Naoto,トミザワ ナオト
• 山形大学紀要. 人文科学 = Bulletin of Yamagata University. Humanities 17(4), 47-64, 2013-02-15
• … This paper presents a new type of data that apparently resists analyses of the lack of reconstruction effects with respect to the Binding Condition (C) put forth by Lebeaux (1988, 1991) and Chomsky (2004), and proposes an alternative analysis on the basis of late-adjunction and deletion of one of the two chains created by "parallel probing." Late-adjunction is argued to be licit insofar as the resulting adjunction structure is linearizable. …
• NAID 120005254110

• CLANS DEFINED BY REPRESENTATIONS OF EUCLIDEAN JORDAN ALGEBRAS AND THE ASSOCIATED BASIC RELATIVE INVARIANTS

• NAKASHIMA Hideto,NOMURA Takaaki
• Kyushu Journal of Mathematics 67(1), 163-202, 2013
• … By the adjunction of a unit element to VE, we obtain a clan VE0 with unit element. …
• NAID 130003364807

• Relating Bishop's function spaces to neighbourhood spaces

• Ishihara Hajime
• Annals of Pure and Applied Logic 164(4), 482-490, 2012-11-06
• … We show that there is an adjunction between the category of neighbourhood spaces and the category of Φ-closed pre-function spaces. … We also show that there is an adjunction between the category of uniform spaces and the category of Ψ-closed pre-function spaces. …
• NAID 120005296336

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• Adjunction | Definition of adjunction by Merriam-Webster

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