Infopaket

Data processing methods

ВК 1.6

Вибіркова дисципліна для ОП

First

2021/2022

7 Semester

3

he student should know: General basics of mathematical statistics and probability theory; General approaches to the calculation of mechanical, electronic, optical, magnetic and other physical quantities; Basic experimental approaches to measuring mechanical, electronic, optical, magnetic and other physical quantities; The role of modern scanning probe microscopy in the study of surface nanostructures; Basic algorithms for processing spectra, images and N-dimensional arrays of measured data; Basic algorithms for machine recognition of features with given characteristics in arrays of different dimensions; The main schemes of forming a sample of the population of features in data arrays; The main ways of assessing the reliability of the results of physical experiments;

Full-time form

It is necessary to prepare according to the program of physical specialties of the university in the following disciplines: general physics, mathematical analysis.

The study of the discipline "Data processing methods" makes it possible to understand the basic possibilities for processing the results of experiments in the natural sciences, which are provided by modern software and computing complexes, the limitations of these possibilities regarding the accuracy of the values of directly measured quantities or the values of physical quantities calculated from other measured values. The basics of measurement statistics, problems of correct population sampling design, determination of confidence intervals, strategies for increasing the probability of physical measurement results are considered. The concepts of the course are illustrated by examples of one-dimensional data (spectra obtained by the methods of electron spectroscopy — photoelectron spectroscopy, Auger spectroscopy), two-dimensional data (images obtained by the methods of scanning tunneling microscopy, atomic force microscopy, slow electron diffraction) and multidimensional data (spectromicroscopic images obtained using the above experimental techniques). Much attention is paid to the complementarity of data presentation in direct and inverse spaces. Mathematical methods of recognizing characteristic features (patterns) in N-dimensional data and their use for creating statistical samples are taught.

1. Klaus D. Sattler. Handbook of Nanophysics — Nanoparticles and Quantum Dots. – CRC Press Taylor & Francis Group, 2011. – 718 pp. 2. Klaus D. Sattler. Fundamentals of Picoscience. – CRC Press Taylor & Francis Group, 2014. – 754 pp. 3. M. Fischetti, W.G. Vandenberghe. Advanced Physics of Electron Transport in Semiconductors and Nanostructures. – Springer International Publishing Switzerland, 2016. – 481 pp. 4. E.L. Wolf. Nanophysics and Nanotechnology — An Introduction to Modern Concepts in Nanoscience. – WILEY-VCH Verlag GmbH &Co. KgaA, Weinheim, 2006. – 301 pp. 5. G. Iadonisi. G. Cantele, M. L. Chiofalo. Introduction to Solid State Physics and Crystalline Nanostructures. – Springer Verlag Italia, 2014. – 707 pp. 6 P. Hommelhoff, M. F. Kling Attosecond Nanophysics — From Basic Science to Applications. – WILEY-VCH Verlag GmbH &Co. KgaA, Weinheim, 2015 – 392 pp. 7. R. Wiesendanger. Atomic- and Nanoscale Magnetism. – Springer Nature Switzerland, 2018. – 400 pp.

Lectures, practical classes, consultations, independent work.

Semester assessment: The study semester has three meaningful modules. After the completion of lectures #4, #8 and #12, written modular tests are conducted. Mandatory for admission to the exam is: writing modular test papers with a score of at least 12. Final evaluation (in the form of credit): the form of the exam is written and oral. The exam ticket consists of 2 questions, each question is worth 20 points. In total, you can get from 0 to 40 points for the exam. A condition for achieving a positive grade for a discipline is obtaining at least 60 points, the grade for the exam cannot be less than 24 points. Conditions for admission to the final assessment: obtaining a total of not less than the critical-calculated minimum for the semester. Students who, during the semester, scored less points than the critical-calculated minimum of 36 points, must write an additional test paper in order to be admitted to the exam.

Ukrainian