Course: Mathematical Modeling of Text

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Course title Mathematical Modeling of Text
Course code KOL/92AMM
Organizational form of instruction Seminar
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Benešová Martina, Mgr. Ph.D.
  • Matlach Vladimír, Mgr. Ph.D.
Course content
1. Quantitative linguistics ? categorization, sphere of activity, terminology 2. Algorithm of quantitative processing of linguistic samples ? hypothesis formulation, reformulation in the language of mathematics 3. Algorithm of quantitative processing of linguistic samples ? sample quantification 4. Algorithm of quantitative processing of linguistic samples ? processing and visualizing of mathematical models 5. Algorithm of quantitative processing of linguistic samples ? testing mathematical model stability using statistical methods 6. Algorithm of quantitative processing of linguistic samples ? experiment result interpretation in the language of linguistics 7. Choice of sample and its quantification 8. Methods of frequency analysis ? frequency lists and dictionaries 9. Zipf's laws ? overview, validity, application 10. H-points ? categorization, application 11. Basics of fractal analysis of texts 12. Motifs

Learning activities and teaching methods
Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook), Demonstration
Learning outcomes
The aim of the course is to introduce specific methods of quantitative linguistics and see some of them applied in a practical manner. These involve mostly those which are related to e.g. to frequency analysis, Zipf laws, h-points, fractal analysis of texts and motifs. Students will get acquainted with specific methods based on reading original scholarly sources. In the preparation phase, analysis of sources will be performed while in the practical phase, the method described in the text will be actually applied. Additionally, students will write papers on the results of their own research. This course is for doctoral students only. There is a possibility of adapting the course to the particular research needs of its attendants.
At the beginning of the course, students will be familiarized with methodology of the algorithm of quantitative processing of linguistic text samples. Emphasis will at the same time be put on formulation of hypotheses. Results of specific experiments will be compared to results of other methods of quantitative linguistics and will undergo statistical validity testing.
Prerequisites
Knowledge of mathematics on at least high school graduate level.

Assessment methods and criteria
Student performance, Seminar Work

1. Regular Attendance 2. Required reading 3. Written essay/co-authorship of publication/article
Recommended literature
  • Andres, J., Benešová, M., Kubáček, L., Vrbková, J. (2011). Methodological note on the fractal analysis of texts. Journal of Quantitative Linguistics 18, 4, 337-367.
  • Hřebíček, L. (1997). Lectures on Text Theory. Praha.
  • Hřebíček, L. (2000). Variation in sequences: (contributions to general text theory). Praha: Orientální ústav AV ČR.
  • Hřebíček, L. (2002). Vyprávění o lingvistických experimentech s textem. Praha: Academia.
  • Köhler, R. Maßeinheiten, Dimensionen und fractale Structuren in der Lingvistik. Zet-Zeitschrift für Empirische Textforschung 2, 5-6, 1995..
  • Popescu, I. (2009). Word Frequency Studies.
  • Wimmer, G. a kol. (2003). Úvod do analýzy textov. Bratislava.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Arts Study plan (Version): General Linguistics and Theory of Communication (2019) Category: Philological sciences - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Arts Study plan (Version): General Linguistics and Theory of Communication (2019) Category: Philological sciences - Recommended year of study:-, Recommended semester: -