Course: Mathematical Modeling of Text

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Course title Mathematical Modeling of Text
Course code KOL/VMOD
Organizational form of instruction Seminar
Level of course Master
Year of study not specified
Semester Winter and summer
Number of ECTS credits 4
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. Work with frequency lists, tendency graphs, evaluation 10. Zipf laws ? categorization, validity, application 11. Processing samples using chosen methods 12. Processing samples using chosen methods

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training), 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. The methods involved are primarily those which are related to e.g. frequency analysis, Zipf?s laws. The students will be familiarized with particular methods based on reading of original 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. Students will be encouraged to write articles on results of their own research.
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. For better understanding of the mathematical methods used within the course, it is highly recommended to have completed the courses Basics of Mathematics for Linguists 1 and 2 which serve as an introduction to using mathematical methods in linguistic research.
Prerequisites
Knowledge of mathematics on at least high school level. Students are recommended to have completed the course Basics of Mathematics for Linguists. Passive knowledge of the English language, knowledge of the German language is an advantage.

Assessment methods and criteria
Student performance, Systematic Observation of Student, Seminar Work

1. Regular attendance (no more than 2 unexcused absences) 2. Regular preparation / required reading 3. Creation of encyclopaedic entry 4. Execution, evaluation and presentation of quantitative linguistic experiment; or co-authorship of publication/article
Recommended literature
  • Hřebíček, L. (1997). Lectures on Text Theory. Praha.
  • Hřebíček, L. (2000). Variation in Sequences. Praha.
  • Hřebíček, L. Vyprávění o lingvistických experimentech s textem. Praha 2002.
  • Köhler, R. Maßeinheiten, Dimensionen und fractale Structuren in der Lingvistik. Zet-Zeitschrift für Empirische Textforschung 2, 5-6, 1995..
  • Mandelbrot, B. (1982). The Fractal Geometry of Nature. New York.
  • Peitgen H., Jürgens, H., Saupe, D. (2004). Chaos and Fractals. New York.
  • Těšitelová, M. (1977). Kvantitativní lingvistika. Praha.
  • 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 Lingvistics and Theory of Communication (2014) Category: Philological sciences - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Arts Study plan (Version): General Lingvistics (2022) Category: Philological sciences - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Arts Study plan (Version): General Lingvistics (2019) Category: Philological sciences - Recommended year of study:-, Recommended semester: -