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Definition of the noun adjunction
What does adjunction mean as a name of something?
noun - plural: adjunctions
- an act of joining or adjoining things
Alternative definition of the noun adjunction
- [category theory] A form of similarity between a pair of categories and which is weaker than equivalence, which in turn is weaker than isomorphism. Given functors and , F is "left adjoint" of G, and G "right adjoint" of F, denoted as , if
- there are a pair of natural transformations and satisfying the following "triangle identities":
- # composed with commutes with and
- # composed with commutes with .
- there is a natural isomorphism , which is natural in the sense of being "natural in X and Y", where
- # "natural in X" means that for every , composed with commutes with composed with ;
- # "natural in Y" means that for every , composed with commutes with composed with .
Adjunction: In abstract algebra, adjunction is a construction in field theory, where for a given field extension E/F, subextensions between E and F are constructed.
Printed dictionaries and other books with definitions for Adjunction
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by Anthony D. Elmendorf, I. Kriz, M. A. Mandell, J. P. May
We claim that if if M is E-local, then the counit s : mono M → M of the first adjunction is a weak equivalence of R-modules. To see this, consider the commutative diagrams: ØRe(RE AR So, m*M) ØR(n” (RE AR S4), m*moM) § 2R ( S3, m*mżM) ...
The Mathematics of Language (2011)
12th Biennial Conference, MOL 12, Nara, Japan, September 6-8, 2011, Proceedings by Makoto Kanazawa, Marcus Kracht, Hiroyuki Seki, András Kornai
Adjunction is an operation on a derivation tree T where a tree αfrom A is adjoined at a node e ∈ T ifthe root ofα shares the same symbol as e. Ifso, then the subtree rooted at e in T is deletedfrom T ...
by M. Barr, P. A. Grillet, D. H. van Osdol
The inner adjunction is the map X in which x ...
Natural Biodynamics (2005)
by Vladimir G. Ivancevic, Tijana T. Ivancevic
The simplest form of this adjunction is the basis of all neural activity, namely, the reflex sensory-motor action.
See Adjunction; Phrase Structure; and Clause, article on Complementation. ADJUNCTION. In the theory of generative grammar, transformations are said to map phrase markers into other phrase markers. Transformational operations are ...
Gradus, A-Z by Bernard Marie Dupriez
Adynaton Adjunction may occur at the beginning (protozeugma), in the middle ( mesozeugma), or at the end of a sentence (hypozeugma). R2: Nowadays adjunction is a mode of syntactic development, especially in spoken language. Indeed ...
by P.H. Matthews
adjunction 1. Any operation, especially in syntax, by which an element is added next to another.
by James Pustejovsky, Pierrette Bouillon, Hitoshi Isahara, Kyoko Kanzaki, Chungmin Lee
Let us first consider a regular non-collapsing adjunction process. For two clauses CL1 , whose qualia structure is QS 1 , and CL2, whose qualia structure is QS2, suppose CL1 is adjoined to CL2. The question is what happens to QS1 and QS2 ...
by Larry Trask
adjunction In transformational grammar,any procedure for inserting material ...
Encyclopaedia of Mathematics (2012)
Supplement by Michiel Hazewinkel
ADJUNCTION THEORY det Tx., where T: is the cotangent bundle of X. For simplicity, below the objects are considered over the complex numbers. The book  is a general reference with full coverage of the literature for the whole theory with ...
Encyclopedia of Rhetoric (2001)
by Thomas O. Sloane
adjunction (the addition of a constituent to the right or left of some other constituent); (3) substitution (a combination of deletion ...
by Hadumod Bussmann
Chomsky adjunction 73 classifying verb) in the southern language Itonama. One unusual syntactic trait: the subject of past tense sentences is marked with the genitive. Word order usually ...
by Philip A. Laplante
Adjunction duality: The dilation and erosion by B, namely δB : X→ X ⊕ B and ε B : X→ X ⊖ B, form an adjunction, which means that for every X, Y we have δB ( X) ≤ Y ⇐⇒ X ≤ ε B (Y), the dilation of X is below Y if and only if X us below the ...
by Jack C. Richards, Richard W. Schmidt
adjunction e they can be used in a comparative or superlative form, e.g. the bag seems heavier now. see also complement, comparative, attributive adjective adjective complement n see complement adjective phrase n a phrase that functions ...
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Video about Adjunction
Video shows what adjunction means. The act of joining, the thing joined or added.. A form of similarity between a pair of categories mapped to each other by ...
Scrabble value of A1D2J8U1N1C3T1I1O1N1
The value of this 10-letter word is 20 points, but it's not an accepted word in the Official Scrabble Players Dictionary.
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