Relevant bibliographies by topics / Mathematical linguistics

Academic literature on the topic 'Mathematical linguistics'

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Published: 4 June 2021
Last updated: 30 July 2024

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Journal articles on the topic "Mathematical linguistics"

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Gua, Hans. "A Mathematical Theory of Language." International Journal of Contemporary Education 1, no. 1 (December 27, 2017): 1. http://dx.doi.org/10.11114/ijce.v1i1.2893.

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Modern linguistics cannot define and identify the best or standard pronunciations, writing and grammar. The choice and decision of sole human unified standard official or common language cannot be solved by modern linguistics generally. The current linguistics is no longer met the human developments because it can’t answer what the best language is. The sole unified standard official global English cannot appear because of English linguistic level and shortcoming mainly. English linguistics comes to predominate in the contemporary era. Negating and improving the current linguistics must be negated and improved English linguistics first. The finite numerals are expressed infinite quantities in the mathematics. The finite sounds are represented the infinite meanings in the language. The theory and method are almost same in the mathematics and linguistics generally. The linguistics is a branch or concrete application of information theory (IT). IT is based on the probability theory and statistics generally. A meaning is often certain code, string of codes or mathematical value in the language. Defining or explaining certain meaning of language is measured and calculated a mathematical value actually. A subsystem or subtopic such as language teaching is often based on the general linguistics.
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Vasyliev, Oleksii, Oleksandr Chalyi, and Ilona Vasylieva. "Mathematical Methods and Models in Linguistics." Ukraina Moderna 27, no. 27 (2019): 9–28. http://dx.doi.org/10.30970/uam.2019.27.1060.

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In this article, relevant approaches to creating and using mathematical models in linguistics are examined. Analyzed are the types of mathematical methods used to solve linguistic tasks. Also investigated are the fundamental principles for creating mathematical models. Stressed in particular is that the approach usually applied in solving physical tasks can be effective. Its typical feature is that a universal theory explaining the interaction among a system’s functional elements on the most general level is the basis of the model. In this case, the necessary approximating dependencies are not conjectured, as is often the case, but obtained or calculated on the basis of the fundamental theory. The prospects for applying this approach in linguistics are defined. Examples of the modeling of linguistic systems and a comparative analysis of their various methods are provided. Much attention is paid to the universality of the mathematical models used to analyze linguistic material. It is noted that if the approximate dependencies used are based on a system’s general universal properties, this can significantly complicate the quantitative analysis of the data. The advantages and shortcomings of mathematical modeling in solving applied linguistic tasks are illustrated. Besides “classic” models (such as Zipf’s law for the rank distribution of words in a text), other modeling approaches are described. In particular, attention is paid to the methods of constructing mathematical models based on neural networks. In this case, the approximation of dependence is realized in the form of sequential essentially nonlinear transformations. The main disadvantage of this approach is connected with the technical complications of execution and with the absence of overt analytical dependence. The main advantage is hidden in the potential possibility of creating approximate dependencies of practically any type. As a comparison of various modeling approaches, the article provides examples of solving the same linguistic tasks using several methods.
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Frawley, William, Aleksej V. Gladkij, Igor A. Mel'cuk, and John Lehrberger. "Elements of Mathematical Linguistics." Language 61, no. 1 (March 1985): 246. http://dx.doi.org/10.2307/413479.

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Mazurov, Vl D., and E. Yu Polyakova. "Universals and Mathematical Linguistics." Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control & Radioelectronics 18, no. 2 (2018): 54–59. http://dx.doi.org/10.14529/ctcr180205.

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Rodríguez, Horacio. "Kornai, András: Mathematical Linguistics." Machine Translation 21, no. 4 (December 2007): 253–56. http://dx.doi.org/10.1007/s10590-008-9043-4.

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Mezhoud, Salim. "Language Mathematics and Mathematics Language, Reading from Computational Linguistics." Mathematical Linguistics 1, no. 1 (December 31, 2021): 7–24. http://dx.doi.org/10.58205/ml.v1i1.140.

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The language of mathematics is the system used by mathematicians to communicate mathematical ideas among themselves. This language consists of a substrate of some natural language using technical terms and grammatical conventions that are peculiar to mathematical discourse, supplemented by a highly specialized symbolic notation for mathematical formulas. mathematical characterizations of various notions of linguistic complexity include also computational linguistics, philosophical logic, knowledge representation as a branch of artificial intelligence, theoretical computer science, and computational psychology. Mathematical linguistics has initially served as a foundation for computational linguistics, though its research agenda of designing machines to simulate natural language understanding is clearly more applied. Inductive methods have gained the upper hand in applied computational linguistics The question is whether mathematics is a language, or that language is mathematical, and how computational linguistics employs language as mathematics.
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Begz, Chuluundorj. "Mathematical Approaches to Cognitive Linguistics." International Journal of Applied Linguistics & English Literature 2, no. 4 (July 1, 2013): 192–99. http://dx.doi.org/10.7575/aiac.ijalel.v.2n.4p.192.

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Bach, Emmon, and Eric Bach. "Mathematical linguistics by András Kornai." Language 89, no. 4 (2013): 970–73. http://dx.doi.org/10.1353/lan.2013.0063.

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Warnow, T. "Mathematical approaches to comparative linguistics." Proceedings of the National Academy of Sciences 94, no. 13 (June 24, 1997): 6585–90. http://dx.doi.org/10.1073/pnas.94.13.6585.

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Stabler, Edward P. "Three Mathematical Foundations for Syntax." Annual Review of Linguistics 5, no. 1 (January 14, 2019): 243–60. http://dx.doi.org/10.1146/annurev-linguistics-011415-040658.

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Three different foundational ideas can be identified in recent syntactic theory: structure from substitution classes, structure from dependencies among heads, and structure as the result of optimizing preferences. As formulated in this review, it is easy to see that these three ideas are completely independent. Each has a different mathematical foundation, each suggests a different natural connection to meaning, and each implies something different about how language acquisition could work. Since they are all well supported by the evidence, these three ideas are found in various mixtures in the prominent syntactic traditions. From this perspective, if syntax springs fundamentally from a single basic human ability, it is an ability that exploits a coincidence of a number of very different things.
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Dissertations / Theses on the topic "Mathematical linguistics"

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Wolska, Magdalena, and Ivana Kruijff-Korbayová. "Modeling anaphora in informal mathematical dialogue." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2006/1045/.

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We analyze anaphoric phenomena in the context of building an input understanding component for a conversational system for tutoring mathematics.
In this paper, we report the results of data analysis of two sets of corpora of dialogs on mathematical theorem proving. We exemplify anaphoric phenomena, identify factors relevant to anaphora resolution in our domain and extensions to the input interpretation component to support it.
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Bold, Christine Elizabeth. "Making sense of mathematical language in a primary classroom." Thesis, n.p, 2001. http://oro.open.ac.uk/18838.

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Womack, Catherine A. "The crucial role of proof--a classical defense against mathematical empiricism." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/12678.

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Nefdt, Ryan Mark. "The foundations of linguistics : mathematics, models, and structures." Thesis, University of St Andrews, 2016. http://hdl.handle.net/10023/9584.

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The philosophy of linguistics is a rich philosophical domain which encompasses various disciplines. One of the aims of this thesis is to unite theoretical linguistics, the philosophy of language, the philosophy of science (particularly mathematics and modelling) and the ontology of language. Each part of the research presented here targets separate but related goals with the unified aim of bringing greater clarity to the foundations of linguistics from a philosophical perspective. Part I is devoted to the methodology of linguistics in terms of scientific modelling. I argue against both the Conceptualist and Platonist (as well as Pluralist) interpretations of linguistic theory by means of three grades of mathematical involvement for linguistic grammars. Part II explores the specific models of syntactic and semantics by an analogy with the harder sciences. In Part III, I develop a novel account of linguistic ontology and in the process comment on the type-token distinction, the role and connection with mathematics and the nature of linguistic objects. In this research, I offer a structural realist interpretation of linguistic methodology with a nuanced structuralist picture for its ontology. This proposal is informed by historical and current work in theoretical linguistics as well as philosophical views on ontology, scientific modelling and mathematics.
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Miller, Barbara L. "Grammar Efficiency of Parts-of-Speech Systems." Kent State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=kent1300373267.

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Rodriguez, Paul Fabian. "Mathematical foundations of simple recurrent networks /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1999. http://wwwlib.umi.com/cr/ucsd/fullcit?p9935464.

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Farsani, Danyal. "Making multi-modal mathematical meaning in multilingual classrooms." Thesis, University of Birmingham, 2015. http://etheses.bham.ac.uk//id/eprint/5752/.

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This thesis investigates communication (verbal and nonverbal) in a bilingual (Farsi-English) complementary school mathematics’ classroom. The study examines gestures were used as a resource for teaching mathematics in a bilingual setting, enabling intercolutors to construct meaning and mediate understanding. That is, the ways in which language and gesture can be seen as resources in supporting and conveying mathematical ideas is described. I investigated a number of verbal and nonverbal resources and show how these are culturally and socially shaped. I also explored how modes of communication are employed in creating mathematical meaning in a bilingual classroom context. A multimodality framework was adopted to analyse data which included audio and video recordings, observations and interviews with teachers and pupils. I found that gestures were employed to convey aspects of the mathematical register and how these were used to amplify what interlocutors were expressing verbally. Furthermore, I identified that different languages activated a different conceptual understanding of the same mathematical concept which was reflected through the students’ and teachers’ gestures.
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Lopez, Jaramillo Maria Gabriela. "Mathematical literacy: A case study of pre-service teachers." OpenSIUC, 2020. https://opensiuc.lib.siu.edu/dissertations/1798.

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This study addresses the question of whether or not pre-service teachers are ready and prepared to use and teach the highly-specialized language of each discipline. The disciplinary languages present teaching and learning challenges due to their lack of parallels in the daily language (Shanahan & Shanahan, 2008). Additionally, the languages of the disciplines are rarely taught and are commonly acquired through an isolated representation of words without a situated meaning within the theory (Gee, 2002). The knowledge of the particular ways of reading, writing, listening to, and talking in the content areas provides opportunities for students’ apprenticeship within the disciplines required for success in higher education contexts (Dobbs, Ippolito, and Charner, 2017). Moreover, this study addresses the question of how future teachers develop disciplinary knowledge and skills. The purpose of this case study was to investigate how mathematical literacy is shaped and defined by the experiences, language, and disciplinary practices of pre-service teachers and experts in mathematics. This overall aim was unfolded by three guiding research questions: 1) What do the Experiences of Pre-Service Teachers and Experts in Mathematics Reveal about their Understanding of Mathematical Literacy? 2) RQ 2. How do pre-service teachers and experts in mathematics use language when solving mathematical problems? and 3) What literacy practices do pre-service teachers and experts in mathematics utilize when presented with modules that require mathematics problem-solving? To structure the elements of analysis for the participants’ responses, I adopted the theoretical support from the emerging disciplinary literacy framework, the novice-expert paradigm, and the tenets of M. K. Halliday’s functional linguistic theory (i.e., Systemic Functional Linguistics; [SFL]). Four faculty in the Department of Mathematics and four pre-service teachers in the Department of Curriculum and Instruction at a large Midwest university agreed to participate in this case study. For the data collection, I asked the participants to participate in two sessions. In the first sessions, the participants responded to a semi-structured interview. Afterward, in a second session, the participants solved modules of mathematical problems following three protocols: a think-aloud, a silent-solving, and an oral-explanatory. The results of the participants’ responses to the semi-structured interview and the three protocols indicated that their experiences as learners and teachers of mathematics are tied to their definitions of literacy and disciplinary literacy. The SFL analysis showed that for the experts of mathematics, mathematical problem-solving is a more abstract and cognitive practice. The pre-service teachers’ registers indicated that mathematical problem-solving is experienced as more concrete and real practice. The unique literacy practices that these participants displayed showed the strong connection between language, literacy, and mathematical thought.The implications of this study are discussed in terms of the importance of language and disciplinary literacy in preparation for future teachers as they progress in their course of study within their teaching education programs.
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Jewett, Bethany. "Investigation of optimal dosing strategies for Ertapenem for varying BMI using mathematical modeling." Digital Commons @ East Tennessee State University, 2019. https://dc.etsu.edu/honors/500.

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Previous research suggests that the efficacy of Ertapenem, a carbapenem antibiotic administered intravenously, is related to a patient’s body mass index. Using an existing physiologically based pharmacokinetic (PBPK) model for Ertapenem, we constructed a least squares inverse problem to determine an optimal dose for males with varying body weights and heights. The criteria for an optimal dose was based upon pharmacokinetic and pharmacodynamic (PK/PD) parameters calculated for a male with a body height of 175 cm and a weight of 72 kg. We also adjusted dosing intervals to ensure that effective concentration of drug between doses was the same for all males regardless of BMI.
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Caldwell, David E. "Production grammars for romance kinship terminology." Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66069.

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Books on the topic "Mathematical linguistics"

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Kornai, András. Mathematical linguistics. London: Springer, 2008.

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Kornai, András. Mathematical Linguistics. London: Springer London, 2008. http://dx.doi.org/10.1007/978-1-84628-986-6.

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Kornai, Andras. Mathematical linguistics. London: Springer, 2008.

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Hubey, H. M. Mathematical and computational linguistics. Múnchen: LINCOM Europa, 1999.

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Martín-Vide, Carlos, ed. Issues in Mathematical Linguistics. Amsterdam: John Benjamins Publishing Company, 1999. http://dx.doi.org/10.1075/sfsl.47.

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Partee, Barbara H., Alice Ter Meulen, and Robert E. Wall. Mathematical Methods in Linguistics. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-009-2213-6.

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Hubey, H. Mark. Mathematical and computational linguistics. Munich: Lincom Europa, 1999.

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Hubey, H. M. Mathematical foundations of linguistics. München: LINCOM Europa, 1999.

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Meulen, Alice G. B. ter. and Wall Robert Eugene, eds. Mathematical methods in linguistics. Dordrecht: Kluwer Academic, 1990.

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Hajičová, Eva, Marie Těšitelová, and Ján Horecký, eds. Prague Studies in Mathematical Linguistics. Amsterdam: John Benjamins Publishing Company, 1987. http://dx.doi.org/10.1075/llsee.22.

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Book chapters on the topic "Mathematical linguistics"

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Barwell, Richard. "Mathematical Texts, Alterity and the Expropriation of Mathematical Discourse in Second Language Mathematics Classrooms." In Educational Linguistics, 119–37. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55116-6_7.

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Berwick, Robert C. "Computational Complexity, Mathematical Linguistics, and Linguistic Theory." In Mathematics of Language, 1. Amsterdam: John Benjamins Publishing Company, 1987. http://dx.doi.org/10.1075/z.35.03ber.

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Peters, Stanley. "What is Mathematical Linguistics?" In The Formal Complexity of Natural Language, 1–18. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3401-6_1.

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Frajzyngier, Zygmunt, and Jan Mycielski. "Concepts of Mathematical Linguistics." In Studies in Functional and Structural Linguistics, 295. Amsterdam: John Benjamins Publishing Company, 1998. http://dx.doi.org/10.1075/sfsl.45.27fra.

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Fulop, Sean A. "Mathematical Linguistics and Learning Theory." In Encyclopedia of the Sciences of Learning, 2110–13. Boston, MA: Springer US, 2012. http://dx.doi.org/10.1007/978-1-4419-1428-6_891.

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De Santo, Aniello, and Jonathan Rawski. "Mathematical Linguistics and Cognitive Complexity." In Handbook of Cognitive Mathematics, 1015–51. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-03945-4_16.

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De Santo, Aniello, and Jonathan Rawski. "Mathematical Linguistics and Cognitive Complexity." In Handbook of Cognitive Mathematics, 1–37. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-44982-7_16-1.

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De Santo, Aniello, and Jonathan Rawski. "Mathematical Linguistics and Cognitive Complexity." In Handbook of Cognitive Mathematics, 1–38. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-44982-7_16-2.

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Luo, Zhaohui, and Paul Callaghan. "Mathematical Vernacular and Conceptual Well-Formedness in Mathematical Language." In Logical Aspects of Computational Linguistics, 231–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48975-4_12.

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Bocheǹski, Josef M. "Mathematical Logic and Continental Philosophers." In Foundations of Logic and Linguistics, 293–301. Boston, MA: Springer US, 1985. http://dx.doi.org/10.1007/978-1-4899-0548-2_13.

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Conference papers on the topic "Mathematical linguistics"

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Correia, Deolinda, Isabel Hub Faria, and Paula Luegi. "Reading mathematical exercises: preliminary results." In 2nd Tutorial and Research Workshop on Experimental Linguistics. ExLing Society, 2019. http://dx.doi.org/10.36505/exling-2008/02/0019/000078.

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Liang, Zhenwen, Jipeng Zhang, Kehan Guo, Xiaodong Wu, Jie Shao, and Xiangliang Zhang. "Compositional Mathematical Encoding for Math Word Problems." In Findings of the Association for Computational Linguistics: ACL 2023. Stroudsburg, PA, USA: Association for Computational Linguistics, 2023. http://dx.doi.org/10.18653/v1/2023.findings-acl.635.

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Jo, Hwiyeol, Dongyeop Kang, Andrew Head, and Marti A. Hearst. "Modeling Mathematical Notation Semantics in Academic Papers." In Findings of the Association for Computational Linguistics: EMNLP 2021. Stroudsburg, PA, USA: Association for Computational Linguistics, 2021. http://dx.doi.org/10.18653/v1/2021.findings-emnlp.266.

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Mulyati, Yeti, Vismaia S. Damaianti, and Daris Hadianto D. "Reading Comprehension - Ability to Understand Text Mathematics to Solve Basic Mathematical Questions." In Tenth International Conference on Applied Linguistics and First International Conference on Language, Literature and Culture. SCITEPRESS - Science and Technology Publications, 2017. http://dx.doi.org/10.5220/0007169104540458.

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Ferreira, Deborah, and André Freitas. "Premise Selection in Natural Language Mathematical Texts." In Proceedings of the 58th Annual Meeting of the Association for Computational Linguistics. Stroudsburg, PA, USA: Association for Computational Linguistics, 2020. http://dx.doi.org/10.18653/v1/2020.acl-main.657.

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Petersen, Felix, Moritz Schubotz, Andre Greiner-Petter, and Bela Gipp. "Neural Machine Translation for Mathematical Formulae." In Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers). Stroudsburg, PA, USA: Association for Computational Linguistics, 2023. http://dx.doi.org/10.18653/v1/2023.acl-long.645.

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Santhi, C. H., and T. Revathi. "Critical analysis of big data applications using functional linguistics and diversified integration." In CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS IN ENGINEERING: CMSAE-2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0149143.

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Imani, Shima, Liang Du, and Harsh Shrivastava. "MathPrompter: Mathematical Reasoning using Large Language Models." In Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 5: Industry Track). Stroudsburg, PA, USA: Association for Computational Linguistics, 2023. http://dx.doi.org/10.18653/v1/2023.acl-industry.4.

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Ferreira, Deborah, Mokanarangan Thayaparan, Marco Valentino, Julia Rozanova, and Andre Freitas. "To be or not to be an Integer? Encoding Variables for Mathematical Text." In Findings of the Association for Computational Linguistics: ACL 2022. Stroudsburg, PA, USA: Association for Computational Linguistics, 2022. http://dx.doi.org/10.18653/v1/2022.findings-acl.76.

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Lu, Pan, Liang Qiu, Wenhao Yu, Sean Welleck, and Kai-Wei Chang. "A Survey of Deep Learning for Mathematical Reasoning." In Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers). Stroudsburg, PA, USA: Association for Computational Linguistics, 2023. http://dx.doi.org/10.18653/v1/2023.acl-long.817.

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Reports on the topic "Mathematical linguistics"

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Striuk, Andrii M. Software engineering: first 50 years of formation and development. [б. в.], December 2018. http://dx.doi.org/10.31812/123456789/2880.

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The article analyzes the main stages of software engineering (SE) development. Based on the analysis of materials from the first SE conferences (1968-1969), it was determined how the software crisis prompted scientists and practitioners to join forces to form an engineering approach to programming. Differences in professional training for SE are identified. The fundamental components of the training of future software engineers are highlighted. The evolution of approaches to the design, implementation, testing and documentation of software is considered. The system scientific, technological approaches and methods for the design and construction of computer programs are highlighted. Analysis of the historical stages of the development of SE showed that despite the universal recognition of the importance of using the mathematical apparatus of logic, automata theory and linguistics when developing software, it was created empirically without its use. The factor that led practitioners to turn to the mathematical foundations of an SE is the increasing complexity of software and the inability of empirical approaches to its development and management to cope with it. The training of software engineers highlighted the problem of the rapid obsolescence of the technological content of education, the solution of which lies in its fundamentalization through the identification of the basic foundations of the industry. It is determined that mastering the basics of computer science is the foundation of vocational training in SE.
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PALIY, T., and A. BAGIYAN. CHARACTERISTIC OF A TEACHER-PHILOLOGIST’S PROFESSIONAL PERSONALITY THROUGH THE PRISM OF AXIOLOGY. Science and Innovation Center Publishing House, 2021. http://dx.doi.org/10.12731/2658-4034-2021-12-4-2-48-58.

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This article raises the urgent problem of modern higher linguistic education connected with the pedagogical activities of the teaching staff of language departments. The aim of the research is to design and test the axiological model of the professional personality of a philologist teacher. The study is based on sociological and culturological approaches, traditions of linguistic education in Russia, which are significant for the formation of the personality of a future teacher, translator, interpreter, etc., understanding of the peculiarities of the pedagogical activity of linguists. Discussion, psychological and mathematical-statistical methods were used in the course of the following research. The results of the study have demonstrated some certain unique features of the Russian axiological space. The priorities of students in the process of assessing teachers of philologists and their professional activities are also established. The results obtained can serve as a basis for the design and testing of original trainings, refresher courses, taking into account the received request from the objects of the educational process.
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Ensuring Equity and Excellence for English Learners: An Annotated Bibliography for Research, Policy, and Practice. Center for Equity for English Learners, 2022. http://dx.doi.org/10.15365/ceel.publication.2022.0001.

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Ensuring Equity and Excellence for English Learners: An Annotated Bibliography for Research, Policy, and Practice is comprised of over 350 annotations from both recent and seminal literature (released between 1984–2021) that have significant implications for research, policy, and practice for English learner (EL) linguistic, social, and academic achievement. This annotated bibliography serves as a resource for researchers, policymakers, educators, and advocates who are working for equity and excellence for ELs. The authors provide a comprehensive selection of works focused on theory, research, and practice. The annotations are a result of purposeful searches of 23 topics in empirical and theoretical articles from peer-reviewed journals, books, book chapters, and reports from leading scholars in the field. Among the topics addressed relevant to EL education are broad areas such as: bilingual teacher preparation, teaching and professional development, university and district partnerships, digital learning for ELs, social emotional development, culturally sustaining pedagogy, and English Language Development (ELD) for elementary and secondary level students. The Integrated ELD (content instruction) topic is subcategorized according to specific disciplines including: English language arts, history, mathematics, science, visual & performing arts, and STEM. In order to provide additional information for readers, each annotation includes: (1) the source description (e.g., book, journal article, report), (2) type of source (e.g., empirical, guidance, theoretical), and (3) keywords.
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