title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿Ð°ÑÐ°ÑÐ°ÐºÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ¾ÑÑÐ°Ð²Ð° Ð²ÐµÑÐµÑÑÐ²Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Investigation of the use of parafactor analysis to determine the composition of a substance
Creators: name: Ð¡ÐµÐ»ÑÐ½ÐºÐ¸Ð½, Ð¤ÐµÐ´Ð¾Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÑÐµÐ½Ð·Ð¾ÑÐ½ÑÐµ ÑÐ°Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ
Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¿ÑÐ¸Ð·Ð½Ð°ÐºÐ¾Ð²
ÑÐµÑÐµÐ´ÑÑÑÐ¸Ð¹ÑÑ Ð¼ÐµÑÐ¾Ð´ Ð½Ð°Ð¸Ð¼ÐµÐ½ÑÑÐ¸Ñ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ¾Ð²
ÐºÐ°Ð½Ð¾Ð½Ð¸ÑÐµÑÐºÐ¾Ðµ
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Ð¼ÐµÑÐ¾Ð´ Ð³Ð»Ð°Ð²Ð½ÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½Ñ
Ð¿Ð¾Ð»Ð¸Ð»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ Ð°Ð»Ð³ÐµÐ±ÑÐ°
tensor expansions
character determination
alternative least squares method
parafactor expansion
main
component method
polylinear algebration

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿Ð°ÑÐ°ÑÐ°ÐºÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð»Ñ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸: 1. ÐÑÑÐ»ÐµÐ´ÑÐµÑÑÑ Ð²Ð¾Ð¿ÑÐ¾Ñ Ð¾ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð³ÐµÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð± Ð±ÐµÐ· ÑÐ²ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. 2. ÐÐ¾Ð»ÑÑÐµÐ½Ð¸Ðµ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¾ Ð³Ð»Ð°Ð²Ð½ÑÑ Ð¿ÑÐ¸Ð·Ð½Ð°ÐºÐ°Ñ Ð¸Ð· ÑÐ¾Ð²Ð¾ÐºÑÐ¿Ð½Ð¾ÑÑÐ¸ Ð¸ Ð¸Ð· Ð¾Ð´Ð¸Ð½Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÐºÐ·ÐµÐ¼Ð¿Ð»ÑÑÐ° Ð´Ð°Ð½Ð½ÑÑ. 3. ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¿Ð¾Ð»Ð¸Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð°Ð»Ð³ÐµÐ±ÑÑ Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð°Ð½Ð½ÑÑ. Ð Ð°Ð±Ð¾ÑÐ° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð° Ð½Ð° Ð¼ÐµÑÐ¾Ð´Ð°Ñ Ð¿Ð¾Ð»Ð¸Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð°Ð»Ð³ÐµÐ±ÑÑ. ÐÐ½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð¿ÑÑÑÐ¼ Ð²Ð¸Ð·ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¸Ð½ÑÐµÑÐ¿ÑÐµÑÐ°ÑÐ¸Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ» ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ, ÐºÐ¾Ð³Ð´Ð° Ð´Ð°Ð½Ñ ÑÐ¾Ð»ÑÐºÐ¾ Ð´Ð°Ð½Ð½ÑÐµ Ð² Ð²Ð¸Ð´Ðµ EEM Ð¼Ð°ÑÑÐ¸Ñ. ÐÑÐ»Ð¸ Ð¾ÑÐµÐ½ÐµÐ½Ñ Ð¿Ð»ÑÑÑ Ð¸ Ð¼Ð¸Ð½ÑÑÑ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð´Ð¾Ð±Ð°Ð²Ð»ÐµÐ½Ñ ÑÐ»ÑÑÑÐµÐ½Ð¸Ðµ ÑÑÐ¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°.
description: This work is devoted to the study of the application of parafactor analysis to classify data by region of origin. Tasks that were solved during development: 1. The question of the possibility of identifying the geographic origin of samples without heuristic information is investigated. 2. Obtaining information about the main characteristics from the population and from a single data instance. 3. Application and analysis of multilinear algebra methods for data analysis. The work is based on the methods of multilinear algebra. The analysis of the results was carried out by visual comparison of the graphical interpretation of the obtained solutions. As a result, an algorithm was developed for classifying data by region of origin, when only data are given in the form of EEM matrices. The pros and cons of the proposed solution were evaluated, and an improvement to this algorithm was also added.