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Journal articles on the topic 'Canonical Construction'

Author: Grafiati

Published: 6 September 2023

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1

Zhang, Yi. "Non-canonical passives in Chinese." Chinese Language and Discourse 11, no. 1 (June 3, 2020): 84–106. http://dx.doi.org/10.1075/cld.19001.zha.

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Abstract This paper examines a non-canonical passive construction in Chinese. In this construction, the passive marker bei can proceed a constituent including intransitive verbs, adjectives and nouns, in such expressions as bei zisha/‘commit suicide,’ bei xingfu/‘happy’ or bei gaotie/‘high speed train.’ Following Mental Space Theory (Fauconnier 1994, 1997), this paper argues that the construction serves as a space builder, which prompts conceptualizers to build a counterfactual space to hold the event conveyed by the constituent but deny the event or its associated assumption in the base space. The Mental Space operations produce the interpretations of the construction featured by ambiguity and irony. This study demonstrates the existence of dedicated counterfactual constructions in Chinese. It showcases an attempt to posit cognitive operations as the constructional function and outlines a cognitively plausible procedure to derive specific interpretations of the construction in the context.

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Kim, Hyunwoo, Gyu-Ho Shin, and Haerim Hwang. "INTEGRATION OF VERBAL AND CONSTRUCTIONAL INFORMATION IN THE SECOND LANGUAGE PROCESSING OF ENGLISH DATIVE CONSTRUCTIONS." Studies in Second Language Acquisition 42, no. 4 (March 18, 2020): 825–47. http://dx.doi.org/10.1017/s0272263119000743.

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AbstractThis study investigated the effects of construction types on Korean-L1 English-L2 learners’ verb–construction integration in online processing by presenting the ditransitive and prepositional dative constructions and manipulating the verb’s association strength within these constructions. Results of a self-paced reading experiment showed that the L2 group spent longer times in the verb–construction integration in the postverbal complement region when processing the ditransitive construction, which is less canonical and highly avoided in the learners’ L1, than when processing the prepositional dative construction, which is more canonical and shares similar structural features with the L1 counterpart. In the following spillover region, L2 learners showed faster reading times as proficiency increased when the verb was strongly associated with the prepositional dative construction. Our findings expand the scope of current models on L2 sentence processing by suggesting that construction types and L2 proficiency may affect the L2 integration of verbal and constructional information.

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3

Kuno, Susumu, and Yuki Johnson. "On the non-canonical double nominative construction in Japanese." Studies in Language 29, no. 2 (August 2, 2005): 285–328. http://dx.doi.org/10.1075/sl.29.2.02kun.

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Japanese has two types of double nominative constructions — the first exemplified by sentences such as Taroo ga otoosan ga sinda “Taro — (his) father has died,” and the second by sentences such as Taroo ga eigo ga yoku dekiru “Taro can (speak) English well.” Kuno (1973a, b) claimed that the first is a double-subject construction, while the second is a subject–object construction. This analysis has recently been challenged by Shibatani (2001a, b, c), who claims that these double-nominative constructions are both double-subject constructions. This paper presents arguments against Shibatani’s double-subject analysis, and in support of the “Ga for Object Marking” analysis for the second construction.

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HSU, Pei Ling. "Non-canonical Construction in Japanese." Nihon Gakkan 19 (July 1, 2016): 64–79. http://dx.doi.org/10.32319/gakkan/2016/vol19/hsu.

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5

Hiptmair, R. "Canonical construction of finite elements." Mathematics of Computation 68, no. 228 (May 20, 1999): 1325–47. http://dx.doi.org/10.1090/s0025-5718-99-01166-7.

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Chen, Rong, and Xiaoxia Hu. "“Be Suicided”: A Construction Grammar Analysis of the Innovative bèi Construction in Chinese." Cognitive Semantics 6, no. 1 (March 19, 2020): 83–106. http://dx.doi.org/10.1163/23526416-00502004.

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This paper is a construction grammar analysis of the innovative bèi construction in Chinese. The bèi construction departs from the canonical passive construction in that, instead of a transitive verb, it has a lexeme that is not a transitive verb to go with the passive marker bèi. We propose that the non-transitive verb denotes an event (as opposed to a state or action) in which the referent of the subject participates involuntarily. The passive semantics of the construction then coerces the non-transitive lexeme into behaving like one. We will, in addition, demonstrate a case of what may be called a “reverse constructional coercion” whereby the innovative construction imposes its semantics onto canonical passive sentences. Lastly, we argue that the structure and semantics of the construction create a parody of the social reality the construction seems to reflect. This parody, which is based on the similarities between the bèi construction and the canonical passive construction, in turn, produces the rhetorical effects of satire/sarcasm, expressing a sense of absurdity about the event in question and a sense of indignation and helplessness on the part of the speaker.

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7

Miković, Aleksandar, and Branislav Sazdović. "W-Strings on Curved Backgrounds." Modern Physics Letters A 12, no. 07 (March 7, 1997): 501–9. http://dx.doi.org/10.1142/s0217732397000522.

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We discuss a canonical formalism method for constructing actions describing propagation of W-strings on curved backgrounds. The method is based on the construction of a representation of the W-algebra in terms of currents made from the string coordinates and the canonically conjugate momenta. We construct such a representation for a W3-string propagating in the background metric with one flat direction by using a simple ansatz for the W-generators where each generator is a polynomial of the canonical currents and the vierbeins. In the case of a general background, we show that the simple polynomial ansatz fails, and terms containing the vierbein derivatives must be added.

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8

Tsuji, Hajime. "Dynamical construction of Kähler-Einstein metrics." Nagoya Mathematical Journal 199 (September 2010): 107–22. http://dx.doi.org/10.1017/s0027763000022236.

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AbstractIn this article, we give a new construction of a Kähler-Einstein metric on a smooth projective variety with ample canonical bundle. As a consequence, for a dominant projective morphismf:X→Swith connected fibers such that a general fiber has an ample canonical bundle, and for a positive integerm, we construct a canonical singular Hermitian metrichE,monwith semipositive curvature in the sense of Nakano.

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Tsuji, Hajime. "Dynamical construction of Kähler-Einstein metrics." Nagoya Mathematical Journal 199 (September 2010): 107–22. http://dx.doi.org/10.1215/00277630-2010-005.

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AbstractIn this article, we give a new construction of a Kähler-Einstein metric on a smooth projective variety with ample canonical bundle. As a consequence, for a dominant projective morphism f: X → S with connected fibers such that a general fiber has an ample canonical bundle, and for a positive integer m, we construct a canonical singular Hermitian metric hE,m on with semipositive curvature in the sense of Nakano.

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10

Li, Haojie, and Tongde Zhang. "On the Derivation of the Non-Canonical Object Construction in Mandarin Chinese." Theory and Practice in Language Studies 12, no. 9 (September 1, 2022): 1880–87. http://dx.doi.org/10.17507/tpls.1209.22.

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This paper makes a study of the derivation of the non-canonical object construction in Mandarin Chinese. In light of the transitivity of verbs, two cases in the NOC are discussed: a) the non-canonical object construction with transitive verbs and b) the non-canonical object construction with unergative verbs. Based on the theory of phase and phase extension, a mixture of direct object properties and PP object properties in the non-canonical object construction can be explained in that the non-canonical object is licensed by both the preposition and the verb.

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11

ARATYN, H., R. INGERMANSON, and ANTTI J. NIEMI. "COVARIANT CANONICAL SUPERSTRINGS." Modern Physics Letters A 02, no. 12 (December 1987): 957–65. http://dx.doi.org/10.1142/s021773238700121x.

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A covariant canonical formulation of generic superstrings is presented. The (super)geometry emerges dynamically and supergravity transformations are identified with particular canonical transformations. By construction these transformations are off-shell closed, and the necessary auxiliary fields can be identified with canonical momenta.

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12

Kutsevych, Vadym. "CANONICAL STRUCTURE OF CONSTRUCTION OF ORTHODOX CHURCHES." Research and methodological works of the National Academy of Visual Arts and Architecture, no. 30 (December 9, 2021): 5–13. http://dx.doi.org/10.33838/naoma.30.2021.5-13.

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Abstract. The Orthodox Church in a number of other Christian denominations is characterized by the stability of dogma and rituals, which in turn determines the symbolic significance of the subject environment of the church, the canonization of church paraphernalia and iconography. Thus, the canon, created on the requirements of the liturgy — the main action in the church, determines the structure of the church and the purpose of its premises. The article considers the creation of modern Orthodox churches based on the use of traditions and the formation of temple action in them as a synthesis of arts. Gaining Independence of Ukraine, the growth of self-awareness and the restoration of religious life put forward a number of major architectural tasks of building new, reconstruction of destroyed and restoration of temples adapted to other functions in the period of "militant atheism". Serious typological problems are faced by architects who design modern sacred buildings and structures, as well as by urban planners, as this process has a significant impact on the urban situation in cities and villages, changes the public microclimate and infrastructure in the vicinity of temples areas. Despite the fact that the construction "boom" of the 90s of the twentieth century-calmed down a bit, the issues of typology and imagery of modern temple building remain relevant. The new urban policy on the development of spirituality and meeting the needs of religious organizations is carried out in accordance with the Law of Ukraine "On Freedom of Conscience and Principles of Democracy" of April 23, 1991. № 988 (as amended in 1992–2019). Temple construction, as a special, but at the same time once significant part of the architectural activity of architects of Ukraine (pre-October period), is being restored. But this is a very complex process, based on the still insufficient practice of designing and building modern Orthodox churches, which requires the improvement of their typological and figurative solutions. On the basis of the author's research, practice of design and construction of sacred buildings and structures will be prepared the third edition of the design manual "Cult houses and buildings of different denominations", the provisions and requirements of which will contribute to the development of modern Ukrainian church building.

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13

Casnati, G., and P. Supino. "Construction of threefolds with finite canonical map." Glasgow Mathematical Journal 44, no. 01 (January 2002): 65. http://dx.doi.org/10.1017/s0017089502010030.

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14

Soto, M. F., and R. Mirman. "Construction of canonical states of unitary groups." Computer Physics Communications 34, no. 4 (February 1985): 347–55. http://dx.doi.org/10.1016/0010-4655(85)90063-3.

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15

Arias, Marta, and José L. Balcázar. "Construction and learnability of canonical Horn formulas." Machine Learning 85, no. 3 (June 3, 2011): 273–97. http://dx.doi.org/10.1007/s10994-011-5248-5.

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16

Shi, Heidi H., and Zhuo Jing-Schmidt. "Little cutie one piece." Chinese Language and Discourse 11, no. 1 (June 3, 2020): 31–54. http://dx.doi.org/10.1075/cld.00023.shi.

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Abstract This study investigates emerging usages in Chinese cyberspace of the numeral classifier méi that violate syntactic and semantic conventions of canonical grammar of modern Chinese. We treat these usages as constructional variants of the canonical classifier construction and show how they afford users of Weibo a device of social indexicality in the sense of Silverstein (1976, 1985, 2003) and Eckert (2000, 2003, 2008). We argue that the constructional variants facilitate the creation of a cute, chic, playful, humorous, and youthful online style and that its popularity draws on multiple indexical resources including contrast to canonical grammar, contemporary language contact with Japanese, influence of the cuteness culture and its commodification, and consumerism in the digital economy. This study contributes to research on the linguistic construction of identity and style, linguistic creativity in the new media and digital culture, and usage-based constructionist approaches to language.

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17

Rütten, Tanja. "Formulae and performativity in Middle English documents." Journal of Historical Pragmatics 14, no. 2 (May 17, 2013): 285–304. http://dx.doi.org/10.1075/jhp.14.2.06rut.

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This paper investigates the performative nature of Late Middle English administrative documents. While certain documents indicate the instantaneous performance of a speech act by using the canonical construction “I (hereby) + speech act verb”, explicit performatives are frequently inscribed with third-person reference of different kinds. This suggests that performativity may be a gradable phenomenon and that certain pragmatic contexts generate performative constructions which serve to (re)activate the speech act at some other point in time. In a quantitative study based on the Middle English Grammar Corpus, this paper provides a survey of the distributional patterns of three conceptionally distinct types of explicit performative constructions in documents. While the canonical construction seems to be tied to oral communication, related forms with third-person reference give documents a more autonomous status. Detaching the written record from the oral ceremony, these constructions facilitate a later verbatim reactivation of the respective speech act.

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18

SMIRNOVA, ANASTASIA. "The ‘feel like’ construction in Russian and its kin: Implications for the structure of the lexicon." Journal of Linguistics 51, no. 1 (July 1, 2014): 107–45. http://dx.doi.org/10.1017/s0022226714000231.

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Russian has a family of reflexive constructions that have non-canonical syntax and express a variety of meanings that range from disposition (‘I feel like working’) to ability (‘I cannot work here’) and generic assessment of quality (‘I work well here’). Previous analyses assume that these constructions are derived by a regular syntactic rule and postulate a null modal in the structure to account for their semantics (Benedicto 1995, Franks 1995, Rivero & Arregui 2012). Focusing on the ‘feel like’ construction, I show that derivational analyses have difficulty explaining its idiosyncratic properties, including non-canonical agreement (independent of the structural subject), as well as the interpretation of aspect. Moreover, derivational analyses overgeneralize, since only a subset of predicates occur in the ‘feel like’ construction in Russian, as the data from the Russian National Corpus indicate. In order to account for their idiosyncratic properties and semi-productivity, I propose that the ‘feel like’ construction and its kin are stored in the lexicon as constructions (Goldberg 1995; Jackendoff 1997, 2008). The proposed analysis clarifies the status of reflexive constructions in Russian and establishes the scope of cross-linguistic semantic variation by comparing reflexives in Russian to that in other Slavic languages.

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19

WONG, ANITA M. Y., DORCAS C. C. CHOW, CATHERINE MCBRIDE-CHENG, and STEPHANIE F. STOKES. "Optional elements and variant structures in the productions of bei2 ‘to give’ dative constructions in Cantonese-speaking adults and three-year-old children." Journal of Child Language 37, no. 1 (March 10, 2009): 175–96. http://dx.doi.org/10.1017/s0305000909009416.

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ABSTRACTTo express object transfer, Cantonese-speakers use a ‘ditransitive’ ([V–R–T] or [V–T–R] where V=Verb, T=Theme, R=Recipient), or a more complex prepositional/serial-verb (P/SV) construction. Clausal elements in Cantonese datives can be optional (resulting in ‘full’ versus ‘non-full’ forms) or appear in variant orders (full non-canonical and full canonical). We report on usage of dative constructions with the word bei2 ‘to give’ in 86 parents and 53 three-year-old children during conversations. The parents used more P/SV than ditransitive bei2-datives, and vice versa for the children. Both groups showed a similar usage pattern of optional elements and variant structures in their ditransitive and P/SV bei2-datives. The roles of multiple construction types, optional elements and variant structures in children's learning of bei2-dative constructions are described.

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20

Arnal, Didier, Bradley Currey, and Bechir Dali. "Construction of canonical coordinates for exponential Lie groups." Transactions of the American Mathematical Society 361, no. 12 (July 22, 2009): 6283–348. http://dx.doi.org/10.1090/s0002-9947-09-04936-8.

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21

Obiedkov, S., and V. Duquenne. "Attribute-incremental construction of the canonical implication basis." Annals of Mathematics and Artificial Intelligence 49, no. 1-4 (July 5, 2007): 77–99. http://dx.doi.org/10.1007/s10472-007-9057-2.

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22

Torzewski, Alex. "Functoriality of motivic lifts of the canonical construction." manuscripta mathematica 163, no. 1-2 (September 20, 2019): 27–56. http://dx.doi.org/10.1007/s00229-019-01150-9.

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Abstract Let $$(G,{\mathfrak {X}})$$ ( G , X ) be a Shimura datum and K a neat open compact subgroup of $$G(\mathbb {A}_f)$$ G ( A f ) . Under mild hypothesis on $$(G,{\mathfrak {X}})$$ ( G , X ) , the canonical construction associates a variation of Hodge structure on $$\text {Sh}_K(G,{\mathfrak {X}})(\mathbb {C})$$ Sh K ( G , X ) ( C ) to a representation of G. It is conjectured that this should be of motivic origin. Specifically, there should be a lift of the canonical construction which takes values in relative Chow motives over $$\text {Sh}_K(G,{\mathfrak {X}})$$ Sh K ( G , X ) and is functorial in $$(G,{\mathfrak {X}})$$ ( G , X ) . Using the formalism of mixed Shimura varieties, we show that such a motivic lift exists on the full subcategory of representations of Hodge type $$\{(-1,0),(0,-1)\}$$ { ( - 1 , 0 ) , ( 0 , - 1 ) } . If $$(G,{\mathfrak {X}})$$ ( G , X ) is equipped with a choice of PEL-datum, Ancona has defined a motivic lift for all representations of G. We show that this is independent of the choice of PEL-datum and give criteria for it to be compatible with base change. Additionally, we provide a classification of Shimura data of PEL-type and demonstrate that the canonical construction is applicable in this context.

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23

Gubler, Walter. "Non-archimedean canonical measures on abelian varieties." Compositio Mathematica 146, no. 3 (April 21, 2010): 683–730. http://dx.doi.org/10.1112/s0010437x09004679.

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AbstractFor a closedd-dimensional subvarietyXof an abelian varietyAand a canonically metrized line bundleLonA, Chambert-Loir has introduced measuresc1(L∣X)∧don the Berkovich analytic space associated toAwith respect to the discrete valuation of the ground field. In this paper, we give an explicit description of these canonical measures in terms of convex geometry. We use a generalization of the tropicalization related to the Raynaud extension ofAand Mumford’s construction. The results have applications to the equidistribution of small points.

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24

Gast, Volker. "I gave it him — on the motivation of the ‘alternative double object construction’ in varieties of British English." Ditransitivity 14, no. 1 (March 16, 2007): 31–56. http://dx.doi.org/10.1075/fol.14.1.04gas.

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Three ditransitive constructions can be found in varieties of British English: (i) the ‘prepositional object construction’, where the recipient is encoded as a prepositional phrase (gave it to him); (ii) the ‘canonical double object construction’, where the recipient precedes the theme (gave him it); and (iii) the ‘alternative double object construction’, where the theme precedes the recipient (gave it him). The last of these constructions is typically found in (north)western varieties of British English when both objects are pronominal, and most of the relevant varieties have a ‘canonical’ ordering (REC > TH) when the theme is non-pronominal. Consequently, there seems to be an ‘inconsistency’ in the clause structure of the varieties in question. Using comparative and historical evidence, this article addresses the question of how this inconsistency can be explained. The ‘paradigmatic mismatch’ under discussion is shown to be a remnant of Old English clause structure which can also be observed in other verb second languages such as Modern German. It is argued to result from a tendency for both verb positions (finite/left and non-finite/right) to attract direct objects. This tendency is regarded as an effect of performance preferences in natural language discourse.

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25

Arkadiev, Peter. "Non-canonical inverse in Circassian languages." STUF - Language Typology and Universals 73, no. 1 (April 28, 2020): 81–111. http://dx.doi.org/10.1515/stuf-2019-0028.

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AbstractThis paper discusses a typologically peculiar inverse-like construction found in the polysynthetic ergative Circassian languages of the Northwest-Caucasian family. These languages possess a cislocative verbal prefix, which, in addition to marking the spatial meaning of speaker-orientation, systematically occurs in polyvalent verbs when the object outranks the subject on the person hierarchy. The inverse-like use of the cislocative in Circassian differs from the “canonical” direct-inverse system in that, first, it is fully redundant since the person-role linking is achieved by means of the person markers themselves and, second, it does not occur in the basic transitive construction, featuring instead in configurations involving an indirect object both in ditransitive and bivalent intransitive verbs. It is argued that the typologically outstanding properties of the Circassian inverse-like marking can be naturally explained by its diachronic origin.

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26

MIKOVIĆ, ALEKSANDAR, and BRANISLAV SAZDOVIĆ. "W-STRINGS ON GROUP MANIFOLDS." Modern Physics Letters A 10, no. 13n14 (May 10, 1995): 1041–47. http://dx.doi.org/10.1142/s0217732395001150.

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We present a procedure for constructing actions describing propagation of W-strings on group manifolds by using the Hamiltonian canonical formalism and representations of W-algebras in terms of Kac-Moody currents. An explicit construction is given for the case of the W3 string.

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27

Bennema, Cornelis. "How Readers Construct New Testament Characters: The Calling of Peter in the Gospels in Cognitive-Narratological Perspective." Biblical Interpretation 29, no. 4-5 (November 12, 2021): 430–51. http://dx.doi.org/10.1163/15685152-29040002.

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Abstract The discipline of cognitive narratology applies insights of cognitive linguistics to narrative analysis. This study seeks to demonstrate the value of cognitive narratology by exploring the role of the reader and the extent of the reader’s knowledge in constructing characters. While traditional narrative criticism often limits itself to the world of the text, cognitive narratology recognizes that the reader’s knowledge from other texts and the real world also contributes to the construction of characters. This study will show that the extent of the reader’s literary and social knowledge of a text affects the construction of characters. As a case study, we will examine the calling of Peter in the canonical Gospels and show how four readers with varying degrees of knowledge will arrive at different constructions of Peter’s character.

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28

Andrason, Alexander. "The wziąć gram in Polish. A serial verb construction, or not?" STUF - Language Typology and Universals 71, no. 4 (September 25, 2018): 577–629. http://dx.doi.org/10.1515/stuf-2018-0022.

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Abstract This article analyzes the categorial status of the wziąć gram – a construction that is composed of two consecutive inflected verbs: the minor verb wziąć ‘lit. take’ (V1) and a major verb (V2) – within the radial network of serial verb constructions (SVC). After comparing the wziąć gram with properties associated with the prototype of a SVC and its cross-linguistic instantiations, the author concludes that the construction can be regarded as a relatively canonical member of the SVC category. The gram complies with all the primary characteristics of the prototype of a SVC, and exhibits various secondary properties and phenomena that are associated with or accompany SVCs across languages. The position of the wziąć gram is canonical even though the Polish language utilizes verbal serialization only minimally and belongs to a geographic area that is scarce for systems with productive serialization. In this manner, Polish proves that verbal serialization is a grammatical device that is not unknown to Indo-European languages of Europe.

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29

Jovanovic, F. "The Construction of the Canonical History of Financial Economics." History of Political Economy 40, no. 2 (January 1, 2008): 213–42. http://dx.doi.org/10.1215/00182702-2008-001.

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30

Deng, Bangming, Jie Du, and Jie Xiao. "Generic Extensions and Canonical Bases for Cyclic Quivers." Canadian Journal of Mathematics 59, no. 6 (December 1, 2007): 1260–83. http://dx.doi.org/10.4153/cjm-2007-054-7.

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AbstractWe use the monomial basis theory developed by Deng and Du to present an elementary algebraic construction of the canonical bases for both the Ringel–Hall algebra of a cyclic quiver and the positive part U+of the quantum affine. This construction relies on analysis of quiver representations and the introduction of a new integral PBW–like basis for the Lusztig ℤ[v,v–1]-form of U+.

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31

Nevskaya, I. A., and O. A. Shalamay. "King of Kings and Song of Songs: An Elative-Superlative Construction in Turkic Languages." Philology 17, no. 9 (2018): 9–21. http://dx.doi.org/10.25205/1818-7919-2018-17-9-9-21.

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The article describes superlative, hyperlative and elative use of formally possessive constructions in a number of Turkic languages from a comparative perspective, analyzing their structural and semantic types as well as their pragmatic properties. Similar non-canonical possessive constructions are found all over Eurasia in languages belonging to various language families. One of the most unclear issues of such constructions is their origin. They could have emerged spontaneously in Turkic languages due to the inner stimuli of language development: a. From possessive reading of possessive constructions featuring the following semantic development: The construction “king of the kings” first referred to the ruler of a state consisting of subordinate kingdoms with their own rulers. For them, the emperor was “their king, the king of the kings of subordinated kingdoms”. Such constructions became a part of the pattern of titles’ formation, and due to the frequent use could develop the meaning of an extreme/high extent of the qualities associated with the notion expressed by the nominals used as their components. b. Old Turkic canonical superlative constructions could be used with and without the superlative marker on the parameter. The economy of language means could have contributed to emergence of non-canonical superlative constructions. c. These constructions could be a result of contacts of Turkic peoples and their languages with world religions and translation of their sacred books into Turkic (beginning with Buddhism and followed by Christianity and Islam). These internal developments (e.g. economy) could be supported by external influences (structural copying of Bible prototypes) and common cultural paradigms. These issues should be addressed in more detail in the future.

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Daugavet, Anna. "A deontic possibility modal in Latvian: Personal vs. impersonal uses in a corpus." Vilnius University Open Series 16 (July 26, 2021): 118–37. http://dx.doi.org/10.15388/sbol.2021.6.

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A corpus-based study of a dedicated deontic possibility modal in Latvian focuses on its impersonal variety with a non-canonical subject in the dative. Normally, drīkstēt ‘may’ and other possibility modals have nominative subjects, while dative subjects are found with expressions of necessity. As distinct from other constructions where non-canonical dative subjects are experiencers, the modals are also used with inanimate subjects.A frequent ellipsis of lexical verbs in the impersonal uses of drīkstēt not only reflects the informal style of the construction but also points to the Russian možno / nel’zja as a possible source, especially when combined with an object in the accusative referring to food. The Russian construction has a meaning of deontic possibility, but its use is restricted to animate subjects. The article claims that the animacy restriction was lifted in Latvian under the influence of the necessity modals in contexts of prohibition.

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Deręgowski, Karol, Mirosław Krzyśko, Łukasz Waszak, and Waldemar Wołyński. "Functional canonical analysis in the study of the relationship between consumption expenditure in the European households." Wiadomości Statystyczne. The Polish Statistician 62, no. 5 (May 26, 2017): 19–37. http://dx.doi.org/10.5604/01.3001.0014.0897.

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The article aims to examine the relations between expenditure on alcoholic beverages and tobacco and other consumer expenditure of households in 27 European countries within 2000—2010. The choice of countries and time series was determined by the availability and completeness of Eurostat data. The years were analysed collectively not separately, which is a novelty presented in this paper. Such an approach was possible due the transformation of primary data into multivariate functional ones, and then the construction of correlations and canonical variables for transformed data. The study shows that expenditure on alcoholic beverages and tobacco is strongly correlated with other consumption expenditure (the canonical correlation coefficient between the two first functional canonical variables is 0.99). The expenditure on alcoholic beverages and tobacco has almost the same contribution to the construction of the functional canonical U1 variable, while the expenditure on food and non-alcoholic beverages and expenditure on clothing and footwear has the largest impact on the development of the functional canonical V1 variable.

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34

NICOLÒ, FRANCESCO. "CANONICAL FOLIATION ON A NULL HYPERSURFACE." Journal of Hyperbolic Differential Equations 01, no. 03 (September 2004): 367–428. http://dx.doi.org/10.1142/s0219891604000172.

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We prove the existence of a "canonical foliation" on a null incoming hypersurface. Here "canonical" denotes a foliation whose level function is a solution of a given nonlinear system of equations. The existence of this foliation is an important ingredient for the construction of asymptotically flat global Einstein spacetimes, with appropriate initial conditions.

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35

DIMOCK, J. "CANONICAL QUANTIZATION OF YANG-MILLS ON A CIRCLE." Reviews in Mathematical Physics 08, no. 01 (January 1996): 85–102. http://dx.doi.org/10.1142/s0129055x96000044.

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The canonical quantization of YM on a circle in the temporal gauge is developed in two different mathematically rigorous formulations. In the first case the basic coordinates are the gauge potentials and we give a complete construction, but find no observables. In the second case the basic coordinates are the holonomy operators (Wilson loop operators) and here we also give a construction. A key ingredient is a proof that the irreducible characters of the holonomy operators are eigenvectors for the Hamiltonian.

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36

Barðdal, Jóhanna, and Thomas Smitherman. "The Quest for Cognates: A Reconstruction of Oblique Subject Constructions in Proto-Indo-European." Language Dynamics and Change 3, no. 1 (2013): 28–67. http://dx.doi.org/10.1163/22105832-13030101.

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The enigma of the origin of non-canonical subject marking in the world’s languages has been met with two competing hypotheses: the Object-to-Subject Hypothesis and the Oblique Subject/Semantic Alignment Hypothesis (cf. Eythórsson and Barðdal, 2005). The present article argues in favor of the Oblique Subject/Semantic Alignment Hypothesis, presenting five sets of cognate predicates in the early/archaic Indo-European daughter languages that occur in the Oblique Subject Construction. These cognate sets have not figured in the earlier literature. Not only are they stem cognates, but they also occur in a cognate compositional predicate and argument structure construction, with a dative subject, the verb ‘be’ and an adjective, a noun, or an adverb. The discovery of these cognate data sets immediately invalidates the axiomatic assumption that non-canonical subject marking must originate in an earlier object status of these arguments. The data, moreover, form the input of a correspondence set, on which basis we reconstruct predicate-specific oblique subject constructions, a partial predicate-specific oblique subject construction, as well as a more abstract schematic dative subject construction for Proto-Indo-European, using the formalism of Sign-based Construction Grammar. The evidence presented here thus suggests that oblique subjects are inherited from an early proto-stage and do not represent an individual development in the Indo-European daughter languages.

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37

NIBLO, GRAHAM, MICHAH SAGEEV, PETER SCOTT, and GADDE A. SWARUP. "MINIMAL CUBINGS." International Journal of Algebra and Computation 15, no. 02 (April 2005): 343–66. http://dx.doi.org/10.1142/s0218196705002347.

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We combine ideas of Scott and Swarup on good position for almost invariant subsets of a group with ideas of Sageev on constructing cubings from such sets. We construct cubings which are more canonical than in Sageev's original construction. We also show that almost invariant sets can be chosen to be in very good position.

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38

McGuirk, Zachary, and Byungdo Park. "A Model of Directed Graph Cofiber." Axioms 11, no. 1 (January 16, 2022): 32. http://dx.doi.org/10.3390/axioms11010032.

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In the homotopy theory of spaces, the image of a continuous map is contractible to a point in its cofiber. This property does not apply when we discretize spaces and continuous maps to directed graphs and their morphisms. In this paper, we give a construction of a cofiber of a directed graph map whose image is contractible in the cofiber. Our work reveals that a category-theoretically correct construction in continuous setup is no longer correct when it is discretized and hence leads to look at canonical constructions in category theory in a different perspective.

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39

Papatheodorou, T. S., and A. S. Fokas. "Systematic construction and prediction of the arrangement of the strands of sandwich proteins." Journal of The Royal Society Interface 6, no. 30 (June 27, 2008): 63–73. http://dx.doi.org/10.1098/rsif.2008.0192.

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The problem of predicting the three-dimensional structure of a protein starting from its amino acid sequence is regarded as one of the most important open problems in biology. Here, we solve aspects of this problem for the so-called sandwich proteins that constitute a large class of proteins consisting of only β-strands arranged in two sheets. A breakthrough for this class of proteins was announced in Kister et al . (Kister et al. 2002 Proc. Natl Acad. Sci. USA 99 , 14 137–14 141), in which it was shown that sandwich proteins contain a certain invariant substructure called interlock . It was later noted that approximately 90% of the observed sandwich proteins are canonical , namely they are generated by certain geometrical structures . Here, employing a topological investigation, we prove that interlocks and geometrical structures are the direct consequence of certain biologically motivated fundamental principles. Furthermore, we construct all possible canonical motifs involving 6–10 strands. This construction limits dramatically the number of possible motifs. For example, for sandwich proteins with nine strands, the a priori number of possible canonical motifs exceeds 360 000, whereas our construction yields only 49 geometrical structures and 625 canonical motifs.

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40

Li, Tongzhu, and Demeter Krupka. "The Geometry of Tangent Bundles: Canonical Vector Fields." Geometry 2013 (April 14, 2013): 1–10. http://dx.doi.org/10.1155/2013/364301.

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A canonical vector field on the tangent bundle is a vector field defined by an invariant coordinate construction. In this paper, a complete classification of canonical vector fields on tangent bundles, depending on vector fields defined on their bases, is obtained. It is shown that every canonical vector field is a linear combination with constant coefficients of three vector fields: the variational vector field (canonical lift), the Liouville vector field, and the vertical lift of a vector field on the base of the tangent bundle.

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41

BAGHERI, AMIR, MARYAM SALIMI, ELHAM TAVASOLI, and SIAMAK YASSEMI. "A CONSTRUCTION OF QUASI-GORENSTEIN RINGS." Journal of Algebra and Its Applications 11, no. 01 (February 2012): 1250013. http://dx.doi.org/10.1142/s0219498811005361.

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Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper, we study the amalgamated duplication ring R ⋈ I which is introduced by D'Anna and Fontana. It is shown that if R satisfies Serre's condition (Sn) and I𝔭 is a maximal Cohen–Macaulay R𝔭-module for every 𝔭 ∈ Spec (R), then R ⋈ I satisfies Serre's condition (Sn). Moreover if R ⋈ I satisfies Serre's condition (Sn), then so does R. This gives a generalization of the same result for Cohen–Macaulay rings in [D'Anna, A construction of Gorenstein rings, J. Algebra306 (2006) 507–519]. In addition it is shown that if R is a local ring and Ann R(I) = 0, then R ⋈ I is quasi-Gorenstein if and only if [Formula: see text] satisfies Serre's condition (S2) and I is a canonical ideal of R. This result improves the result of D'Anna which is corrected by Shapiro and states that if R is a Cohen–Macaulay local ring, then R ⋈ I is Gorenstein if and only if the canonical ideal of R exists and is isomorphic to I, provided Ann R(I) = 0.

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42

Tleubergenov, M. I., G. K. Vassilina, and S. R. Seisenbayeva. "Construction of stochastic differential equations of motion in canonical variables." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 107, no. 3 (September 30, 2022): 152–62. http://dx.doi.org/10.31489/2022m3/152-162.

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Galiullin proposed a classification of inverse problems of dynamics for the class of ordinary differential equations (ODE). Considered problem belongs to the first type of inverse problems of dynamics (of the three main types of inverse problems of dynamics): the main inverse problem under the additional assumption of the presence of random perturbations. In this paper Hamilton and Birkhoff equations are constructed according to the given properties of motion in the presence of random perturbations from the class of processes with independent increments. The obtained necessary and sufficient conditions for the solvability of the problem of constructing stochastic differential equations of both Hamiltonian and Birkhoffian structure by the given properties of motion are illustrated by the example of the motion of an artificial Earth satellite under the action of gravitational and aerodynamic forces.

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43

DOI, Mamoru. "Gluing construction of compact complex surfaces with trivial canonical bundle." Journal of the Mathematical Society of Japan 61, no. 3 (July 2009): 853–84. http://dx.doi.org/10.2969/jmsj/06130853.

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44

Bruse, Florian, Daniel Kernberger, and Martin Lange. "A Canonical Model Construction for Iteration-Free PDL with Intersection." Electronic Proceedings in Theoretical Computer Science 226 (September 13, 2016): 120–34. http://dx.doi.org/10.4204/eptcs.226.9.

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45

Herman, Mark, and Jonathan Pakianathan. "On a canonical construction of tessellated surfaces from finite groups." Topology and its Applications 228 (September 2017): 158–207. http://dx.doi.org/10.1016/j.topol.2017.05.014.

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46

Weiner, B., and J. V. Ortiz. "Construction of unique canonical coefficients for antisymmeterized geminal power states." International Journal of Quantum Chemistry 97, no. 5 (2004): 896–907. http://dx.doi.org/10.1002/qua.10805.

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47

Brems, Lieselotte. "The establishment of quantifier constructions for size nouns." Journal of Historical Pragmatics 13, no. 2 (July 2, 2012): 202–31. http://dx.doi.org/10.1075/jhp.13.2.02bre.

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Based on exhaustive diachronic corpus data, this paper determines the relative chronology in which the size nouns heap(s) and lot(s) have developed quantifier uses within NP of NP-syntagms, as in heaps / a lot of people. Using a constructional approach, it is claimed that size nouns occur in three distinct constructions or form–meaning pairings identified on the basis of systematic syntactic, semantico-pragmatic and collocational features. I argue that in order to establish which size noun was first to develop a quantifier use, we have to analyse diachronic data sets in terms of three constructions, viz. lexical head, partitive and quantifier constructions. In doing so, I will argue against the claim that heap developed its quantifier use first, around 1300, while lot developed one only around 1800. I will show that heap and lot(s) appear in an early partitive construction, c1300 and c1200, respectively, in which they are head nouns and have a collective sense. The quantifier construction in which heap(s) and lot(s) have modifier status and assess quantity similar to canonical quantifier many/much appears around the same time for both, viz. c1780.

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48

Yang, Jae-Hyun. "Construction of Vector Valued Modular Forms from Jacobi Forms." Canadian Journal of Mathematics 47, no. 6 (December 1, 1995): 1329–39. http://dx.doi.org/10.4153/cjm-1995-068-2.

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AbstractWe give a geometrical construction of the canonical automorphic factor for the Jacobi group and construct new vector valued modular forms from Jacobi forms by differentiating them with respect to toroidal variables and then evaluating at zero.

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49

Moroz, I. P. "THE CORRECTING FUNCTIONS METHOD FOR SOLVING A BOUNDARY VALUE PROBLEM FOR THE AMBIPOLAR DIFFUSION EQUATION IN A DOMAIN WITH A CURVILINEAR BOUNDARIES." Journal of Numerical and Applied Mathematics, no. 2 (2022): 91–97. http://dx.doi.org/10.17721/2706-9699.2022.2.11.

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An approach for the ambipolar diffusion equation boundary value problem solving, which is posed in a two-dimensional domain with oscillating boundaries, is proposed. The construction of the solution of the model problem is based on the corresponding problem for a certain internal canonical majorant domain and the methodology for constructing the so-called corrective corrections based on the use of the perturbation theory elements. A feature of this problem is that it is not the problem equation or boundary conditions that are perturbed, but the region. And this leads to the construction of a fundamentally new solution structure.

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50

Zhao, Zhonghua. "Remarks on PBW bases of Ringel–Hall algebras of cyclic quivers." Journal of Algebra and Its Applications 19, no. 03 (April 11, 2019): 2050054. http://dx.doi.org/10.1142/s0219498820500541.

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In this paper, we give a recursive formula for the interesting PBW basis [Formula: see text] of composition subalgebras [Formula: see text] of Ringel–Hall algebras [Formula: see text] of cyclic quivers after [Generic extensions and canonical bases for cyclic quivers, Canad. J. Math. 59(6) (2007) 1260–1283], and another construction of canonical bases of [Formula: see text] from the monomial bases [Formula: see text] following [Multiplication formulas and canonical basis for quantum affine, [Formula: see text], Canad. J. Math. 70(4) (2018) 773–803]. As an application, we will determine all the canonical basis elements of [Formula: see text] associated with modules of Loewy length [Formula: see text]. Finally, we will discuss the canonical bases between Ringel–Hall algebras and affine quantum Schur algebras.

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