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Journal articles on the topic 'Adjunction construction'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

Parzygnat, Arthur J. "Stinespring's construction as an adjunction." Compositionality 1 (December 20, 2019): 2. http://dx.doi.org/10.32408/compositionality-1-2.

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Given a representation of a unital C∗-algebra A on a Hilbert space H, together with a bounded linear map V:K→H from some other Hilbert space, one obtains a completely positive map on A via restriction using the adjoint action associated to V. We show this restriction forms a natural transformation from a functor of C∗-algebra representations to a functor of completely positive maps. We exhibit Stinespring's construction as a left adjoint of this restriction. Our Stinespring adjunction provides a universal property associated to minimal Stinespring dilations and morphisms of Stinespring dilatio

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Liao, Wei-wen Roger, and Tzong-hong Jonah Lin. "Syntactic structures of Mandarin purposives." Linguistics 57, no. 1 (2019): 87–126. http://dx.doi.org/10.1515/ling-2018-0032.

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Abstract This paper investigates three constructions in Mandarin, all of which convey a purposive/teleological meaning, including the lai purposive, the hao purposive, and the bare purposive. Despite the fact that each type of purposive clause in Mandarin occurs at the right edge of a sentence, it is argued that none of the purposive clause is a genuine right adjunct in the underlying syntactic structure. On the other hand, our analysis shows that the lai purposive employs complementation of a secondary predicate, the hao purposive involves conjunction of two clauses, and the bare purposive sh

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Rico, Pablo. "A syntactic approach to the Spanish 'al + infinitive' construction." Borealis – An International Journal of Hispanic Linguistics 5, no. 1 (2016): 31. http://dx.doi.org/10.7557/1.5.1.3735.

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The paper seeks to study the way in which the interpretation is fixed in the Spanish AL + infinitive construction. The reading of these adjuncts can be temporal or causal. Some studies that have approached this issue previously (Rigau 1993; Alonso-Ovalle 2002) have attributed the interpretative disparity to purely semantic reasons, while others (Rigau 1995; Hernanz 1999; Martines 2000) have described the phenomenon without delving too deep in the syntactic details that influence the reading. The aim of this analysis is to approach the problem of the interpretation considering factors of syntac

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SCHMEDING, ALEXANDER, and CHRISTOPH WOCKEL. "FUNCTORIAL ASPECTS OF THE RECONSTRUCTION OF LIE GROUPOIDS FROM THEIR BISECTIONS." Journal of the Australian Mathematical Society 101, no. 2 (2016): 253–76. http://dx.doi.org/10.1017/s1446788716000021.

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To a Lie groupoid over a compact base $M$, the associated group of bisection is an (infinite-dimensional) Lie group. Moreover, under certain circumstances one can reconstruct the Lie groupoid from its Lie group of bisections. In the present article we consider functorial aspects of these construction principles. The first observation is that this procedure is functorial (for morphisms fixing $M$). Moreover, it gives rise to an adjunction between the category of Lie groupoids over $M$ and the category of Lie groups acting on $M$. In the last section we then show how to promote this adjunction t

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ZHAO, XU-AN, and HONGZHU GAO. "THE MINIMAL GENUS PROBLEM IN RULED MANIFOLDS." Journal of Knot Theory and Its Ramifications 17, no. 04 (2008): 471–82. http://dx.doi.org/10.1142/s021821650800621x.

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In this paper, we consider the minimal genus problem in a ruled 4-manifold M. There are three key ingredients in the studying, the action of diffeomorphism group of M on H2(M,Z), the geometric construction of surfaces representing a cohomology class and the generalized adjunction formula. At first, we discuss the standard form (see Definition 1.1) of a class under the action of diffeomorphism group on H2(M,Z), we prove the uniqueness of the standard form. Then we construct some embedded surfaces representing the standard forms of some positive classes, the generalized adjunction formula is use

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6

Herce, Borja. "The diachrony of Spanish haber/hacer + time." Journal of Historical Linguistics 7, no. 3 (2017): 276–321. http://dx.doi.org/10.1075/jhl.15018.her.

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Abstract Using quantitative corpus evidence from different periods, the present article analyzes the emergence and diachronic development of the Spanish time constructions (clausal and adverbial) involving contemporary hacer ‘make’ and earlier haber ‘have’. The obtained data, as well as cross-linguistic evidence, suggest that the clausal construction must have been the source of the adverbial one. A proposal is presented that could explain that development. The data show, in addition, that the grammatical properties and usage patterns of the clausal and adverbial constructions were very simila

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7

Zhang, Niina Ning. "Argument Interpretations in the Ditransitive Construction." Nordic Journal of Linguistics 21, no. 2 (1998): 179–209. http://dx.doi.org/10.1017/s033258650000425x.

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An indirect object can be interpreted as a Provider or as a Recipient. The evidence considered in this article suggests that the two interpretations can be morphologically analytic in Chinese and typologically parametrized for certain natural classes of verbs in English and Chinese. Two VP projections are proposed for the ditransitive construction. The head of the lower VP can be phonologically realized or null. The content of the null verb is parametrized across languages. The contrasts in indirect object interpretations in these languages are explained in terms of the lexical meanings of the

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8

Ma, Linquan, Karl Schwede, Kevin Tucker, Joe Waldron, and Jakub Witaszek. "An analogue of adjoint ideals and PLT singularities in mixed characteristic." Journal of Algebraic Geometry 31, no. 3 (2022): 497–559. http://dx.doi.org/10.1090/jag/797.

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We use the framework of perfectoid big Cohen-Macaulay (BCM) algebras to define a class of singularities for pairs in mixed characteristic, which we call purely BCM-regular singularities, and a corresponding adjoint ideal. We prove that these satisfy adjunction and inversion of adjunction with respect to the notion of BCM-regularity and the BCM test ideal defined by the first two authors. We compare them with the existing equal characteristic purely log terminal (PLT) and purely F F -regular singularities and adjoint ideals. As an application, we obtain a uniform version of the Briançon-Skoda t

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Ferrer Santos, Walter, and Octavio Malherbe. "The category of implicative algebras and realizability." Mathematical Structures in Computer Science 29, no. 10 (2019): 1575–606. http://dx.doi.org/10.1017/s0960129519000100.

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AbstractIn this paper, we continue with the algebraic study of Krivine’s realizability, completing and generalizing some of the authors’ previous constructions by introducing two categories with objects the abstract Krivine structures and the implicative algebras, respectively. These categories are related by an adjunction whose existence clarifies many aspects of the theory previously established. We also revisit, reinterpret, and generalize in categorical terms, some of the results of our previous work such as: the bullet construction, the equivalence of Krivine’s, Streicher’s, and bullet tr

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Roehrs, Dorian. "Prenominal possessives in Yiddish: mayn khaver versus mayner a khaver." Linguistics 60, no. 2 (2022): 347–93. http://dx.doi.org/10.1515/ling-2020-0097.

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Abstract This article provides a systematic comparison and detailed analysis of two prenominal possessive constructions in Yiddish, the familiar mayn khaver ‘my friend’ and the less well-known mayner a khaver ‘a friend of mine.’ It is demonstrated that the first construction is definite and that the second construction is indefinite. It is argued that the possessor in the first construction is in Spec,DP. Making the standard assumption that (in-)definiteness is determined in the DP-level, this construction straightforwardly adheres to Definiteness Spread analyzed as Spec-head agreement. As to

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Zhang, Ning. "Coordinators and modification markers as categoryless functional elements." Nordlyd 48, no. 1 (2024): 39–57. https://doi.org/10.7557/12.7975.

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A coordinate construction is built by two basic levels of combination: a categoryless functional head is combined with a conjunct, and the result is combined with a categorizer, which is the other conjunct. The first combination is seen in all structures headed by a functional element, and the latter is seen in the categorization of a root. The same two levels of combination are also seen in a modification construction. A categoryless functional head is realized by a coordinator or a modification marker. The positions of the low and high conjunct are also those of a modifier and the modified e

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Hoofman, Raymond. "The theory of semi-functors." Mathematical Structures in Computer Science 3, no. 1 (1993): 93–128. http://dx.doi.org/10.1017/s096012950000013x.

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The notion ofsemi-functorwas introduced in Hayashi (1985) in order to make possible a category-theoretical characterization of models of the non-extensional typed lambda calculus. Motivated by the further use of semi-functors in Martini (1987), Jacobs (1991) and Hoofman (1992a), (1992b) and (1992c), we consider the general theory of semi-functors in this paper. It turns out that the notion ofsemi natural transformationplays an important part in this theory, and that various categorical notions involving semi-functors can be viewed as 2-categorical notions in the 2-category of categories, semi-

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Mohammad, Abdul Moeed. "Smooth Rational Surfaces Of $d=11$ And $\pi=8$ In $\mathbb{P}^5$." MATHEMATICA SCANDINAVICA 119, no. 2 (2016): 169. http://dx.doi.org/10.7146/math.scand.a-24742.

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We construct a linearly normal smooth rational surface $S$ of degree $11$ and sectional genus $8$ in the projective five space. Surfaces satisfying these numerical invariants are special, in the sense that $h^1(\mathscr{O}_S(1))>0$. Our construction is done via linear systems and we describe the configuration of points blown up in the projective plane. Using the theory of adjunction mappings, we present a short list of linear systems which are the only possibilities for other families of surfaces with the prescribed numerical invariants.

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Wu, Hsiao-hung Iris. "The syntax of correlatives in Isbukun Bunun." Canadian Journal of Linguistics/Revue canadienne de linguistique 61, no. 2 (2016): 190–210. http://dx.doi.org/10.1017/cnj.2016.12.

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AbstractThis paper investigates the correlative construction in Isbukun Bunun, an Austronesian language spoken in Taiwan. I show that in this language the correlative clause and its associated anaphoric element do not form a constituent at any point in the derivation. Drawing on evidence from island-insensitivity, the absence of Condition C effects and non-constituency facts, I propose that the syntactic relation between the correlative clause and the nominal correlate is derived by a base-generated adjunction structure. Moreover, I argue that the correlative clause, which behaves as a general

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Sevcenco, Anca. "Predicate doubling in Romanian." Bucharest Working Papers in Linguistics 25, no. 2 (2023): 5–26. http://dx.doi.org/10.31178/bwpl.25.2.1.

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The current paper analyzes Romanian predicate doubling, a construction that features topicalization of a non-finite form, a supine, that surfaces either as a bare verb or as a vP complete with arguments and adjuncts and is immediately followed by a clausal structure whose fully inflected tensed verb is the lexical copy of the supine. Predicate doubling occurs in a large variety of languages and has been used in syntactic research to support various theoretical accounts such the multiple copy theory of movement developed in Nunes (2004) or late adjunction of the arguments of the fronted predica

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Kondratyeva, Olga, and Tatiana Satuchina. "National Identity Construction in Modern Russian Mass Media Discourse." Theoretical and Practical Issues of Journalism 13, no. 2 (2024): 325–41. https://doi.org/10.17150/2308-6203.2024.13(2).325-341.

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The article deals with the peculiarities of national identity constructed in modern Russian mass-media discourse. The identifying discursive constructions from the newspaper subcorpus of the Russian National Corpus and the system “Yandex. News” (Zen) serve as the material for the analysis (2013–2023). The model of the national identity is described including the cognitive component (the ideas and knowledge about the national community peculiarities) and the emotional component (the evaluation of the community, the attitude to the belonging to the community and the importance of this adherence)

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Birkedal, Lars, Ranald Clouston, Bassel Mannaa, Rasmus Ejlers Møgelberg, Andrew M. Pitts, and Bas Spitters. "Modal dependent type theory and dependent right adjoints." Mathematical Structures in Computer Science 30, no. 2 (2019): 118–38. http://dx.doi.org/10.1017/s0960129519000197.

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AbstractIn recent years, we have seen several new models of dependent type theory extended with some form of modal necessity operator, including nominal type theory, guarded and clocked type theory and spatial and cohesive type theory. In this paper, we study modal dependent type theory: dependent type theory with an operator satisfying (a dependent version of) the K axiom of modal logic. We investigate both semantics and syntax. For the semantics, we introduce categories with families with a dependent right adjoint (CwDRA) and show that the examples above can be presented as such. Indeed, we

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Golev, Nikolay D. "Antinomies of Russian Morphology: Communicative vs. Cognitive; Syntagmatic vs. Nominative." SibScript 26, no. 1 (2024): 94–107. http://dx.doi.org/10.21603/sibscript-2024-26-1-94-107.

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The article presents the results of metamodeling of the morphological system of the Russian language. This communicative approach to morphology means distancing it from the reflective (cognitive, nominative) function of a linguistic sign or any sign system to give way to the syntagmatic side, at least as far as synthetic languages are concerned. As a synthetic language, Russian demonstrates a certain rigidity of the text construction algorithms. The synthetic nature of Russian morphology is based on such syntagmatic categories as government and agreement, while the adjunction, i.e., connection

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19

Ellerman, David. "Where Do Adjunctions Come From? Chimera Morphisms and Adjoint Functors in Category Theory." Foundations 5, no. 1 (2025): 10. https://doi.org/10.3390/foundations5010010.

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Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunction seeming to be the primary lens. Our topic is a theory showing “where adjoints come from”. The theory is based on object-to-object “chimera morphisms”, “heteromorphisms”, or “hets” between the objects of different categories (e.g., the insertion of generators as a set-to-group map). After showing that heteromorphisms can be treated rigorously using the machinery of category theory (bifunctors), we show that all adjunctions between two c

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Ojima, Izumi. "A Unified Scheme for Generalized Sectors Based on Selection Criteria: Order Parameters of Symmetries and of Thermality and Physical Meanings of Adjunctions." Open Systems & Information Dynamics 10, no. 03 (2003): 235–79. http://dx.doi.org/10.1023/a:1025175907589.

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A unified scheme for treating generalized superselection sectors is proposed on the basis of the notion of selection criteria to characterize states of relevance to each specific domain in quantum physics, ranging from the relativistic quantum fields in the vacuum situations with unbroken and spontaneously broken internal symmetries, through equilibrium and non-equilibrium states to some basic aspects in measurement processes. This is achieved by the help of c → q and q → c channels: the former determines the states to be selected and to be parameterized by the order parameters, and the latter

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Куликова, Е. В. "The typology of phrases constructions with the main word “zone”." Modern Humanities Success, no. 5 (May 28, 2024): 33–41. http://dx.doi.org/10.58224/2618-7175-2024-5-33-41.

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данная статья посвящена проблеме формирования словосочетаний, выявлению алгоритма их построения и адекватного употребления в речи иностранных учащихся на основе метода классификации и трансформаций в рамках функционально-коммуникативной лингводидактической модели языка. В представленной статье анализируются словосочетания со стержневым словом «зона», рассматривается формирующая их лексика и трансформационные возможности. Словосочетание как традиционный объект традиционного синтаксиса определяется как синтаксическая конструкция, образуемая соединением двух или более знаменательных слов на основ

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Tash, Ahmatjan, and Alexander Sugar. "Resultative constructions in Uyghur as verbal adjunction." Acta Linguistica Academica 65, no. 1 (2018): 169–95. http://dx.doi.org/10.1556/2062.2018.65.1.7.

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NAUMANN, DAVID A. "A categorical model for higher order imperative programming." Mathematical Structures in Computer Science 8, no. 4 (1998): 351–99. http://dx.doi.org/10.1017/s0960129598002552.

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The order-enriched category of monotonic predicate transformers over posets is a model of the refinement calculus of higher order imperative programs and pre-post specifications. This category is shown to be equivalent to the category of spans over ideal relations, and ideal relations are shown to be spans over monotonic functions between posets. To do this we use a skew span construction because the standard categorical span constructions are inapplicable. Axioms are given for products and coproducts of underlying posets as well as the homset as a coexponent, using inequations (for various ki

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Sugar, Alexander. "Uyghur -ip as a verb linker in multiple constructions." Proceedings of the Linguistic Society of America 2 (June 12, 2017): 16. http://dx.doi.org/10.3765/plsa.v2i0.4060.

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Uyghur grammars and linguistic works have traditionally described the -ip morpheme as a suffix that derives adverbs from verbs (Tömür 2003, Tohti 2012). This paper uses structural diagnostics involving passive morphology, single negation and NPI licensing to argue that -ip is a functional head with multiple syntactically distinct roles in different structures. The distinct properties of these structures, according to the types of verbs that are linked by -ip, provide evidence against a uniform derivational process of adverb formation. In some case -ip allows for adjunction of a TP-sized consti

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SANTOS, WALTER FERRER, MAURICIO GUILLERMO, and OCTAVIO MALHERBE. "Realizability in ordered combinatory algebras with adjunction." Mathematical Structures in Computer Science 29, no. 3 (2018): 430–64. http://dx.doi.org/10.1017/s0960129518000075.

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In this work, we continue our consideration of the constructions presented in the paperKrivine's Classical Realizability from a Categorical Perspectiveby Thomas Streicher. Therein, the author points towards the interpretation of the classical realizability of Krivine as an instance of the categorical approach started by Hyland. The present paper continues with the study of the basic algebraic set-up underlying the categorical aspects of the theory. Motivated by the search of a full adjunction, we introduce a new closure operator on the subsets of the stacks of an abstract Krivine structure tha

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Ardizzoni, Alessandro, and Claudia Menini. "Adjunctions and braided objects." Journal of Algebra and Its Applications 13, no. 06 (2014): 1450019. http://dx.doi.org/10.1142/s0219498814500194.

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In this paper, we investigate the categories of braided objects, algebras and bialgebras in a given monoidal category, some pairs of adjoint functors between them and their relations. In particular, we construct a braided primitive functor and its left adjoint, the braided tensor bialgebra functor, from the category of braided objects to the one of braided bialgebras. The latter is obtained by a specific elaborated construction introducing a braided tensor algebra functor as a left adjoint of the forgetful functor from the category of braided algebras to the one of braided objects. The behavio

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Overfelt, Jason. "Stripping in temporal adverbial constructions." Proceedings of the Linguistic Society of America 3, no. 1 (2018): 68. http://dx.doi.org/10.3765/plsa.v3i1.4368.

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This paper argues that phrasal Temporal Adverbial Constructions (TACs; Kim left [before Bill]) are most amenable to a Stripping-like treatment. What I refer to as TAC-Stripping is low-adjunction of a TAC containing a truncated complement, viz. an extended vP. A single remnant is A-moved to a focus position outside the elided vP (Pancheva 2009, Weir 2014). The remainder of the paper adapts Takahashi 2008 to account for the sensitivity of TAC-Stripping to familiar constraints against embedding the antecedent or ellipsis site, which are not observed with VP-Ellipsis.

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Herce, Borja. "Spanish time constructions with hacer." Current trends in analyzing syntactic variation 31 (December 31, 2017): 273–300. http://dx.doi.org/10.1075/bjl.00011.her.

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Abstract The present work studies the grammatical properties of Spanish time constructions involving hacer ‘to make’ from an empirical, quantitative perspective with insights from both competence and language use. The results show a big difference between the properties of the so-called clausal and adverbial constructions, something unnoticed until now. Whereas hacer, in the former, has properties not significantly different from other verbs, in the latter, it shows a strong erosion of its verbal and clausal properties like TAM morphology, negation, time adjunction or word order freedom. This

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Eide, Kristin Melum. "Norwegian (non-V2) declaratives, resumptive elements, and the Wackernagel position." Nordic Journal of Linguistics 34, no. 2 (2011): 179–213. http://dx.doi.org/10.1017/s0332586511000163.

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Most Norwegian declaratives are subject-initial verb second (V2) clauses. This paper discusses declaratives that can be construed as non-V2, two constructions that have traditionally been analyzed as left dislocation phenomena: the (adjunctive)så-construction and the Copy Left Dislocation (CLD) construction, where the ‘copy’ is a weak pronoun. Both constructions share an affinity to root clauses, have particular scope effects, and employ a prosodically light particle between the topicalized phrase and the finite verb in V2 (såand a weak pronoun, respectively). The paper attributes these proper

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GABBAY, MURDOCH J., and PETER H. KROPHOLLER. "Imaginary groups: lazy monoids and reversible computation." Mathematical Structures in Computer Science 23, no. 5 (2013): 1002–31. http://dx.doi.org/10.1017/s0960129512000849.

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We use constructions in monoid and group theory to exhibit an adjunction between the category of partially ordered monoids and lazy monoid homomorphisms and the category of partially ordered groups and group homomorphisms such that the unit of the adjunction is injective. We also prove a similar result for sets acted on by monoids and groups.We introduce the new notion of a lazy homomorphism for a function f between partially ordered monoids such that f(m ○ m′) ≤ f(m) ○ f(m′).Every monoid can be endowed with the discrete partial ordering (m ≤ m′ if and only if m=m′), so our constructions provi

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Cabrera, I. P., P. Cordero, F. García-Pardo, M. Ojeda-Aciego, and B. De Baets. "On the construction of adjunctions between a fuzzy preposet and an unstructured set." Fuzzy Sets and Systems 320 (August 2017): 81–92. http://dx.doi.org/10.1016/j.fss.2016.09.013.

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Catasso, Nicholas. "Some notes on central causal clauses in Venetian." Poznan Studies in Contemporary Linguistics 57, no. 4 (2021): 519–72. http://dx.doi.org/10.1515/psicl-2021-0020.

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Abstract The goal of this paper is to provide novel evidence in favor of an integration of Haegeman’s (2002) taxonomy of adverbial clause subordination by discussing some data from C-introduced causal constructs in Venetian, the Italo-Romance dialect spoken in the city of Venice. Haegeman’s model is based on a two-class categorization of adverbial structures into central clauses, in which matrix-clause phenomena (such as the licensing of some sentence-initial or sentence-final discourse particle-like items, XP-fronting) are excluded, and peripheral clauses, in which these phenomena are licit.

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SOBIN, NICHOLAS. "The Comp-trace effect, the adverb effect and minimal CP." Journal of Linguistics 38, no. 3 (2002): 527–60. http://dx.doi.org/10.1017/s0022226702001652.

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Recent work has ascribed the adverb effect, the reduction or elimination of the that-trace effect by the addition of an adverbial phrase, to an elaborated CP layer. However, additional observations about a variety of adverb effects with both positive and negative effects on acceptability, including some experimental data, suggest that (i) adverbs may undergo lexical adjunction to a complementizer and (ii) the CP layer may be contracting or folding in rather than expanding. This proposal facilitates explanation of an array of facts including the Comp-trace effect, the adverb effect and other as

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Galkina, Natalia P. "Experience of linguistic research of the word правда as a syntactic word in the Russian language". Vestnik of Kostroma State University 28, № 1 (2022): 134–38. http://dx.doi.org/10.34216/1998-0817-2022-28-1-134-138.

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The article analyses syntactic constructions in which the word правда functions as a service word. The constructions under consideration include this word either as a word-conjunction, a conjunction combination in a complex sentence, or as an introductory word in a simple or parceled sentence, indicating different shades of the meaning of concession. The structural component, which includes the word правда as part of a complex sentence, in addition to self-concessive relations, can express comparative, concessive-restrictive, adjunctive-restrictive relations, which are the constituents of the

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Mao, Xiao-Li, and Hong-Mei Chen. "Investigation of contemporary college students’ mental health status and construction of a risk prediction model." World Journal of Psychiatry 13, no. 8 (2023): 573–82. http://dx.doi.org/10.5498/wjp.v13.i8.573.

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Rapid-cycling bipolar disorder (RCBD) is a phase of bipolar disorder defined by the presence of ≥ 4 mood episodes in a year. It is a common phenomenon characterized by greater severity, a predominance of depression, higher levels of disability, and poorer overall outcomes. It is resistant to treatment by conventional pharmacotherapy. The existing literature underlines the scarcity of evidence and the gaps in knowledge about the optimal treatment strategies for RCBD. However, most reviews have considered only pharmacological treatment options for RCBD. Given the treatment-refractory nature of R

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Uljas, Sami. "Embedded and Adjoined Relative Clauses in Ancient Egyptian." Lingua Aegyptia - Journal of Egyptian Language Studies, no. 31 (December 2023): 243–61. http://dx.doi.org/10.37011/lingaeg.31.08.

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Ancient Egyptian “virtual” relative clauses are analysed, following certain earlier proposals, as syntactically adjunctive constructions similar to so-called adjoined relatives found especially in various Australian Aboriginal languages. The structural behaviour of the said type of relative clauses differs markedly from that of the “real” relative constructions, which (in attributive use) are argued to be embedded as constituents of their antecedent NPs.

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Schwarzweller, Christoph. "Ring and Field Adjunctions, Algebraic Elements and Minimal Polynomials." Formalized Mathematics 28, no. 3 (2020): 251–61. http://dx.doi.org/10.2478/forma-2020-0022.

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Summary In [6], [7] we presented a formalization of Kronecker’s construction of a field extension of a field F in which a given polynomial p ∈ F [X]\F has a root [4], [5], [3]. As a consequence for every field F and every polynomial there exists a field extension E of F in which p splits into linear factors. It is well-known that one gets the smallest such field extension – the splitting field of p – by adjoining the roots of p to F. In this article we start the Mizar formalization [1], [2] towards splitting fields: we define ring and field adjunctions, algebraic elements and minimal polynomia

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Tseng, Yu-Ching. "Markedness relation, identity avoidance, and clausal recursion in Mandarin Chinese." Poznan Studies in Contemporary Linguistics 57, no. 3 (2021): 429–69. http://dx.doi.org/10.1515/psicl-2021-0018.

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Abstract This paper uses optimality theory (OT) to account for the phenomenon of identity occurrence resulting from clausal recursion, which we argue is derived from syntactic embedding and syntactic adjunction. This paper shows that the interaction between faithfulness and economy constraints allows for the optional deletion of functional morphemes that occur repetitively. The syntactic process of deletion is sensitive to the concept of markedness in a few ways. First, the marked, rather than the unmarked, pattern is the trigger for deletion; second, unmarked constructions have priority over

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Gómez-Torrecillas, J. "Separable functors in corings." International Journal of Mathematics and Mathematical Sciences 30, no. 4 (2002): 203–25. http://dx.doi.org/10.1155/s016117120201270x.

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We develop some basic functorial techniques for the study of the categories of comodules over corings. In particular, we prove that the induction functor stemming from every morphism of corings has a left adjoint, called ad-induction functor. This construction generalizes the known adjunctions for the categories of Doi-Hopf modules and entwined modules. The separability of the induction and ad-induction functors are characterized, extending earlier results for coalgebra and ring homomorphisms, as well as for entwining structures.

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Ottur, Gautam. "Formand function in serial verb constructions – insights fromGerman Sign Language." FEAST. Formal and Experimental Advances in Sign language Theory 5 (December 14, 2023): 169–80. http://dx.doi.org/10.31009/feast.i5.14.

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German Sign Language (DGS) exhibits constructions which seem to meet the generaldefinition of serial verb constructions (SVCs). I demonstrate that the constructions inquestion have characteristics known to be shared by similar constructions in other spokenand signed languages, both in terms of form and in terms of function. I argue thatwithin the typological picture, the DGS data suggest three things. First, it is most likelythe case that very different structures can derive similar surface data; for example, verbphrases may be concatenated via complementation or adjunction. Relatedly, the fac

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Fujio, Mitsuhiko. "A Comparison of Implications in Orthomodular Quantum Logic—Morphological Analysis of Quantum Logic." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/259541.

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Morphological operators are generalized to lattices as adjunction pairs (Serra, 1984; Ronse, 1990; Heijmans and Ronse, 1990; Heijmans, 1994). In particular, morphology for set lattices is applied to analyze logics through Kripke semantics (Bloch, 2002; Fujio and Bloch, 2004; Fujio, 2006). For example, a pair of morphological operators as an adjunction gives rise to a temporalization of normal modal logic (Fujio and Bloch, 2004; Fujio, 2006). Also, constructions of models for intuitionistic logic or linear logics can be described in terms of morphological interior and/or closure operators (Fuji

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Kiselman, Andrew, Denis Portnyagin, Ekaterina Ibe, and Galina Shibaeva. "Estimation of influence of heat-conducting inclusions on thermal protection of filler constructions of buildings." E3S Web of Conferences 97 (2019): 04026. http://dx.doi.org/10.1051/e3sconf/20199704026.

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Article represents recommendations on decrease in heat losses through heat-conducting inclusions of filler constructions of buildings. Recommendations are based on the analysis of calculations by a finite element method in software package Elcut. The purpose consists in the analysis of expediency of replacement of a steel reinforcement on glass composite reinforcement in design decisions of filler constructions in view of calculation of thermal fields. The way of decrease in the factor of cold bridges is researched by replacement of a steel reinforcement by glass composite reinforcement. It is

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S Papas, Athena. "Celecoxib Decreases Gcf Prostaglandin E2 Levels in Chronic Periodontitis Patients." Journal of Dentistry: Oral Health & Cosmesis 5, no. 1 (2020): 1–6. http://dx.doi.org/10.24966/dohc-6783/100012.

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Prostaglandin E2 (PGE2) is a key mediator associated with periodontal bone loss. We recently demonstrated (Yen, et al, J Periodontology 79:104, 2008) that adjunctive use of Celecoxib (a COX-2 selective inhibitor) in conjunction with Scaling and Root Planning (SRP) resulted in significant reduction in Pocket Depth (PD) and gain in Clinical Attachment (CAL) in Chronic Periodontitis (CP) patients.

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Chankova, Yana. "“GIVING SOMEONE FREEDOM” IN OLD ICELANDIC IN MINIMALIST SYNTACTIC TERMS." Ezikov Svyat (Orbis Linguarum), ezs.swu.v21i3 (October 30, 2023): 7–19. http://dx.doi.org/10.37708/ezs.swu.bg.v21i3.1.

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The present paper discusses the word order alternatives attested with OIce double object constructions of the type gefa einhverjum frelsi ‘give someone freedom’ found in the ONP (https://onp.ku.dk/onp/onp.php) within a largely Minimalist syntactic framework (Chomsky (1995) and beyond). Specifically, this study draws on theoretical assumptions borrowed from sources in the area of the movement approach to modified word order types in the early Germanic languages (e.g. Eythórsson (1995); Haugan (2001)). The paper starts off with an analysis of base-generated post-VP indirect object (Dat) – frelsi

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Popov, Antony T. "A New Approach to Fuzzy Arithmetic." Serdica Journal of Computing 4, no. 1 (2010): 113–22. http://dx.doi.org/10.55630/sjc.2010.4.113-122.

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This work shows an application of a generalized approach for constructing dilation-erosion adjunctions on fuzzy sets. More precisely, operations on fuzzy quantities and fuzzy numbers are considered. By the generalized approach an analogy with the well known interval computations could be drawn and thus we can define outer and inner operations on fuzzy objects. These operations are found to be useful in the control of bioprocesses, ecology and other domains where data uncertainties exist.

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Sigiro, Elisten Parulian. "FRASA DAN KONSTRUKSI FRASA BAHASA KATINGAN." SUAR BETANG 12, no. 1 (2018): 103. http://dx.doi.org/10.26499/surbet.v12i1.20.

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This research examines the rules and construction of the Katingan language phrase with the purpose of the description of the rules and construction of the Katingan language phrase. Therefore, the method used in this research is descriptive qualitative method because the method and technique of this research reflects reality in the field as they are. In terms of provision of research data used simak and cakap method with basic and advanced techniques. The results of this study indicate that the use of verbal, adjective, pronominal, adverbial, prepositional, and numerical phrases in Katingan is

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MESEGUER, JOSÉ, UGO MONTANARI, and VLADIMIRO SASSONE. "On the semantics of place/transition Petri nets." Mathematical Structures in Computer Science 7, no. 4 (1997): 359–97. http://dx.doi.org/10.1017/s0960129597002314.

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Place/transition (PT) Petri nets are one of the most widely used models of concurrency. However, they still lack, in our view, a satisfactory semantics: on the one hand the ‘token game’ is too intensional, even in its more abstract interpretations in terms of nonsequential processes and monoidal categories; on the other hand, Winskel's basic unfolding construction, which provides a coreflection between nets and finitary prime algebraic domains, works only for safe nets. In this paper we extend Winskel's result to PT nets. We start with a rather general category PTNets of PT nets, we introduce

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Szumny, Dorota, and Małgorzata Mulak. "Glaucoma – new possibilities, new research." OphthaTherapy. Therapies in Ophthalmology 10, no. 1 (2023): 7–11. http://dx.doi.org/10.24292/01.ot.200323.1.

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Research efforts to develop effective and safe antiglaucoma drugs have been ongoing for many years. The cornerstone of treatment is still baroprotection, as this is virtually the only method available to protect the optic nerve and slow glaucoma progression, which can be easily controlled by an ophthalmologist. Research is also being conducted in the direction of neuroprotection, where new compounds are being evaluated, as well as those that have been used for years as adjunctive treatments. The greatest hope lies in gene therapy, which still has many problems to be solved, but it is the only

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Парамонова, Д. А. "СТРУКТУРНЫЕ И СЕМАНТИЧЕСКИЕ РАЗЛИЧИЯ РУССКИХ УСЛОВНЫХ КОНСТРУКЦИЙ С ОДИНОЧНЫМ И ДВОЙНЫМ СОЮЗОМ". Типология морфосинтаксических параметров 7, № 1 (2025): 89–106. https://doi.org/10.37632/pi.2024.26.95.004.

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В статье обсуждается роль факультативной частицы то в распределении русских условных конструкций. Идея состоит в том, что частица то сигнализирует более высокую позицию условной клаузы в структуре по отношению к главной клаузе. Такой анализ позволяет объяснить существующие контрасты, связанные с наличием частицы то (контексты с фокусными частицами, эллипсисом, связыванием местоимений). В статье высказываются соображения о возможной синтаксической структуре русских условных конструкций с частицей то и без нее. Наш анализ синтаксических и семантических свойств рассматриваемых конструкций соотнос

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Shubina, E. L. "Problem of the Classification of Quantitative Noun in the German Language." MGIMO Review of International Relations, no. 1(40) (February 28, 2015): 237–43. http://dx.doi.org/10.24833/2071-8160-2015-1-40-237-243.

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This work is dedicated to the semantic classification of quantitative noun on the basis of a structural study (Nquant + (Adj) +N) (ein Glas frisches Wasser), since this model reveals the greatest variety of grammatical formulation. These word combinations can form by the genitive government eine Tasse starken Kaffees by the grammatical agreement ein Eimer kaltes Wasser, or by the adjunction mit einem Korb reife Apfel. The suggested classification of the noun performing the function of the first components is based on the form of the noun acting as the first component. Types of the first compon

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