title: ÐÐ½Ð°Ð»Ð¸Ð· Ñ Ð¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¾ÑÑÐ°Ð²Ð° Ð²ÐµÑÐµÑÑÐ²Ð° Ð¿Ð¾ Ð´Ð°Ð½Ð½ÑÐ¼ Ð¼Ð°ÑÑ-ÑÐ¿ÐµÐºÑÑÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Analysis of the chemical composition of a substance according to mass spectrometry data using solutions of interval systems of equations
Creators: name: ÐÐ»ÐµÑÐ½ÐµÐ²Ð°, Ð®Ð»Ð¸Ñ
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: 2022
Subjects: ÐÐ°ÑÑ-ÑÐ¿ÐµÐºÑÑÐ¾Ð¼ÐµÑÑÐ¸Ñ
ÐÐ»Ð³ÐµÐ±ÑÐ°Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ
Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐ¾ÑÑÐ°Ð²Ð° Ð²ÐµÑÐµÑÑÐ²Ð°
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ÑÑÐ±Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ ÐÑÑÑÐ¾Ð½Ð°
composition analysis of substances
interval system of linear algebraic equations
Newtonâs subdifferential method

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description: This paper describes the application of interval analysis methods for the analysisÂ of the chemical composition of a substance according to mass spectrometry data. ThisÂ study solves such tasks: 1. In the presence of spectra of a mixture of constituent substances, simulate theÂ situation and obtain the resulting mass spectrum of substances. 2. Solve a system of interval linear algebraic equations using NewtonâsÂ subdifferential method. 3. Find the mode for each of the variable values. 4. Analyze the results.In the course of the work, it was found that situation with substances in the matrix,Â where the values of the elements are very small, as well as many zero values in theÂ column, leads to the formation of multi-intervals in the mode value.Â It was found that to avoid the appearance of multi-intervals, it is worth consideringÂ matrix slices in which there will be as few (zero) small in size elements as possible.