Academic literature on the topic 'Adjunction construction'

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Journal articles on the topic "Adjunction construction"

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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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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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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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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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Dissertations / Theses on the topic "Adjunction construction"

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Postma, Thomas Corne. "Evaluating the impact of adjunctive integrated case-based dental teaching and learning on clinical reasoning in a discipline-based teaching and learning environment." Thesis, University of Pretoria, 2013. http://hdl.handle.net/2263/40246.

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Problem-solving and integration of knowledge are key objectives of the undergraduate dental curriculum of the School of Dentistry, University of Pretoria, which aims to develop the clinical reasoning skills of students. For practical reasons the School provides discipline-based teaching and learning, which, according to the literature, might limit a student’s ability to integrate knowledge during clinical reasoning processes. The literature suggests that problem-solving by means of case studies – an active teaching and learning strategy– might be a useful method to develop and integrate knowle
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Books on the topic "Adjunction construction"

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Amaral, Patrícia, and Manuel Delicado Cantero. Noun-Based Constructions in the History of Portuguese and Spanish. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198847182.001.0001.

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This book explores the syntactic and semantic change of three types of constructions in the history of Spanish and Portuguese: (i) complex DPs with clausal adjunction (el hecho de, o facto de), (ii) complex prepositions/complementizers and complex connectives (sin embargo de, sem embargo de; so pena de, sob pena de), and (iii) complex predicates containing light verbs (dar consejo de, dar conselho de). While these constructions are syntactically different, they are all clause-taking expressions containing a noun followed by the functional preposition de (“of”). This book is the first work to e
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Mathieu, Éric, Brandon J. Fry, and Michael Barrie. Adjunction of complex heads inside words. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198778264.003.0011.

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Piggott and Travis (2013) argue that Ojibwe words, despite their flagrant complexity, are complex heads. In order to maintain this analysis, they claim that complex adjuncts inside Ojibwe words must be complex heads formed in a separate workspace before being adjoined to the main structure. This chapter argues that nothing in their argumentation requires these adjuncts to be complex heads. Their analysis in terms of the independent spell-out of adjuncts goes through equally well if these adjuncts are analysed as phrasal elements. Furthermore, it is shown that by analysing Ojibwe words as phras
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Johnson, Niles, and Donald Yau. 2-Dimensional Categories. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198871378.001.0001.

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2-Dimensional Categories provides an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories; pasting diagrams; lax functors; 2-/bilimits; the Duskin nerve; the 2-nerve; internal adjunctions; monads in bicategories; 2-monads; biequivalences; the Bicategorical Yoneda Lemma; and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray
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Book chapters on the topic "Adjunction construction"

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Villoria, Alejandro, Henning Basold, and Alfons Laarman. "Enriching Diagrams with Algebraic Operations." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57228-9_7.

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AbstractIn this paper, we extend diagrammatic reasoning in monoidal categories with algebraic operations and equations. We achieve this by considering monoidal categories that are enriched in the category of Eilenberg-Moore algebras for a monad. Under the condition that this monad is monoidal and there is an adjunction between the free algebra functor and the underlying category functor, we construct an adjunction between symmetric monoidal categories and symmetric monoidal categories enriched over algebras for the monad. This allows us to devise an extension, and its semantics, of the ZX-calc
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Turkenburg, Ruben, Clemens Kupke, Jurriaan Rot, and Ezra Schoen. "Preservation and Reflection of Bisimilarity via Invertible Steps." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30829-1_16.

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AbstractIn the theory of coalgebras, distributive laws give a general perspective on determinisation and other automata constructions. This perspective has recently been extended to include so-called weak distributive laws, covering several constructions on state-based systems that are not captured by regular distributive laws, such as the construction of a belief-state transformer from a probabilistic automaton, and ultrafilter extensions of Kripke frames.In this paper we first observe that weak distributive laws give rise to the more general notion of what we call an invertible step: a pair
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Kerstan, Henning, Barbara König, and Bram Westerbaan. "Lifting Adjunctions to Coalgebras to (Re)Discover Automata Constructions." In Advanced Information Systems Engineering. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44124-4_10.

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Kidwai, Ayesha. "Binding and Coreference in UG." In XP-Adjunction in Universal Grammar. Oxford University PressNew York, NY, 2000. http://dx.doi.org/10.1093/oso/9780195132519.003.0004.

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Abstract The claim that scrambling is uniformly an XP-adjunction operation meets its major empirical challenge from the instances of scrambling that override WCO effects and putatively license reflexives. These instances provide a mandate for a reappraisal of the theory of binding, coreference, and re-construction in UG, rather than for a fracturing of the uniform analysis of scrambling as an XP-adjunction operation. This chapter initiates this exercise. Because the cases in which scrambling exhibits the binding properties of Case-driven NP-movement involve possessive reflexives and pronominal
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Greenberg, Marvin J., and John R. Harper. "Construction of Spaces: Cell Complexes and more Adjunction Spaces." In Algebraic Topology. CRC Press, 2018. http://dx.doi.org/10.1201/9780429502408-23.

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Corr, Alice. "The grammar of dialogue." In The Grammar of the Utterance. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198856597.003.0008.

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Abstract This chapter reconsiders the discursive contribution of the Romance illocutionary complementizer identified here as dialogic que, which is traditionally understood to introduce a ‘speech act’ causal clause. On the basis of a range of syntactic tests for various clause-combining operations (viz. clausal complementation, co-ordination, adverbial subordination, and adjunction) in addition to diachronic and comparative evidence, it is argued that dialogic que constructions are syntactically autonomous utterances which serve primarily to build discourse coherence between the complementizer
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Amaral, Patrícia, and Manuel Delicado Cantero. "Clausal adjunction." In Noun-Based Constructions in the History of Portuguese and Spanish. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198847182.003.0003.

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This chapter analyzes the properties of the clause-taking nouns hecho and feito/facto in Spanish and Portuguese. After reviewing the semantic literature on events and facts, we present the divergent development of the Latin noun FACTU(M) in these languages from the 13th to the 21st centuries, both in isolation and in the context of clausal adjunction. We show how the different outcomes in Spanish and Portuguese reveal patterns of semantic change that have been overlooked in the literature on nouns. It is shown that historically the nouns hecho and facto first displayed an eventive meaning and
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Abe, Jun, and Hiroto Hoshi. "Directionality of Movement in Ellipsis Resolution in English and Japanese." In Fragments. Oxford University PressNew York, NY, 1999. http://dx.doi.org/10.1093/oso/9780195123029.003.0009.

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Abstract To account for this difference between English gapping and Japanese gapping, we proposed that elements in a full-fledged conjunct in elliptical constructions can move either leftward or rightward to create an appropriate structure for copying and that the directionality of movement is determined by independently motivated constraints. We argued there that Saito’s (1985) constraint on adjunction sites plays an important role in determining the directionality of movement involved in ellipsis. The constraint informally states that the head-initial or head-final requirements imposed by X'
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Ireland, A. J., and Fraser McDonald. "Materials." In The Orthodontic Patient: Treatment and Biomechanics. Oxford University PressOxford, 2003. http://dx.doi.org/10.1093/oso/9780198510482.003.0010.

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Abstract This section is intended to provide information on the materials specifically used in both removable and functional appliances. It will not cover the adjunctive materials used in the construction of these appliances such as alginate, plaster, stone, and separating media. Essentially, there are two types of material used in removable and functional appliances: acrylic and wires.
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Borkowski, Patryk, and Krzysztof Twardoch. "Development and Construction of LED Lamp Power Supply Cover Based on the Design Concept for Injection Molding." In Advances in Transdisciplinary Engineering. IOS Press, 2020. http://dx.doi.org/10.3233/atde200106.

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This paper presents multistage process and complexity involved in construction design from initial planning to final CAD models. The purpose of the presented project was to design a cover for the power supply for the LED lamp manufactured by the company based on various design concepts. The work involved in this project was divided into 2 stages. Stage 1 involved construction of the cover using one variant of the design concept. Stage 2 presented a second variant of the design concept. Many design modifications resulted in variety of models adhering to technological objectives and external aes
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Conference papers on the topic "Adjunction construction"

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Kurariya, Pavan, Prashant Chaudhary, Jahnavi Bodhankar, Lenali Singh, and Ajai Kumar. "Unveiling the Power of TAG Using Statistical Parsing for Natural Languages." In 4th International Conference on NLP Trends & Technologies. Academy & Industry Research Collaboration, 2023. http://dx.doi.org/10.5121/csit.2023.131407.

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The Revolution of the Artificial Intelligence (AI) has started when machines could decipher enigmatic symbols concealed within messages. Subsequently, with the progress of Natural Language Processing (NLP), machines attained the capacity to understand and comprehend human language. Tree Adjoining Grammar (TAG) has become powerful grammatical formalism for processing Large-scale Grammar. However, TAG mostly rely on Grammar which is created by Languages expert and due to structural ambiguity in Natural Languages computation complexity of TAG is very high o(n^6). We observed that rules-based appr
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