title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐ²Ð¸Ð½Ð¾Ð² Ð´Ð»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¹ Ñ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÐ¼Ð¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸ÑÐ¼Ð¸
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: Application of Twins for computation with isotopic distributions
Creators: name: ÐÐ¾Ð¶ÐµÐ²Ð½Ð¸ÐºÐ¾Ð²Ð°, ÐÐ¸Ð°Ð½Ð°
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: 2023
Subjects: ÑÐ²Ð¸Ð½Ð½Ð°Ñ Ð°ÑÐ¸ÑÐ¼ÐµÑÐ¸ÐºÐ°
ÑÐ²Ð¸Ð½
Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·
Ð¸Ð·Ð¾ÑÐ¾Ð¿Ñ
Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½Ð°Ñ Ð¿Ð¾Ð´Ð¿Ð¸ÑÑ
twin arithmetic
twin
interval analysis
isotopes
isotopuc signature

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¿Ð¾Ð¸ÑÐºÑ Ð¼ÐµÑÐ¾Ð´Ð° Ð¿ÑÐ¾ÑÐ»ÐµÐ¶Ð¸Ð²Ð°ÐµÐ¼Ð¾ÑÑÐ¸ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð¿Ð¾Ð´Ð¿Ð¸ÑÐ¸ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¾Ð´Ð½Ð¾Ð¹ ÐºÐ°ÑÐµÐ³Ð¾ÑÐ¸Ð¸, Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¾ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð¾ ÑÐµÑÐµÐ½Ð¸Ðµ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ»ÐµÐ¶Ð¸Ð²Ð°ÐµÐ¼Ð¾ÑÑÐ¸ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð¿Ð¾Ð´Ð¿Ð¸ÑÐ¸ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ²Ð¸Ð½Ð½Ð¾Ð¹ Ð°ÑÐ¸ÑÐ¼ÐµÑÐ¸ÐºÐ¸ Ð² Ð½Ð¾ÑÐ°ÑÐ¸Ð¸ Ð. Ð. ÐÐµÑÑÐµÑÐ¾Ð²Ð°. ÐÑÐ»Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ ÑÐ°Ð±Ð¾ÑÑ Ñ Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½ÑÐ¼Ð¸ Ð²ÑÐ±Ð¾ÑÐºÐ°Ð¼Ð¸, ÑÐ°ÐºÐ¸Ðµ ÐºÐ°Ðº Ð¿Ð¾Ð¸ÑÐº Ð¼Ð¾Ð´Ñ Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½Ð¾Ð¹ Ð²ÑÐ±Ð¾ÑÐºÐ¸ Ð¸ Ð¼ÐµÑÑ ÑÑÐ¾Ð´ÑÑÐ²Ð° Ð¼Ð½Ð¾Ð¶ÐµÑÑÐ², Ð²ÑÑÐ°Ð¶Ð°ÐµÐ¼Ð¾Ð¹ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð¼ ÐÐ°ÐºÐºÐ°ÑÐ°. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð°ÑÑ Ð½Ð° ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ IUPAC, Ð¿ÑÐµÐ´Ð¾ÑÑÐ°Ð²Ð»ÑÑÑÐ¸Ð¼ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÐµ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÑ ÑÐ¸Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ñ ÑÑÐµÑÐ¾Ð¼ Ð¸Ñ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ. ÐÑÐ¾ÑÐ»ÐµÐ¶Ð¸Ð²Ð°ÐµÐ¼Ð¾ÑÑÑ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð¿Ð¾Ð´Ð¿Ð¸ÑÐ¸ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°Ð»Ð°ÑÑ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐ°Ñ Ð°ÑÐ¾Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð°Ð»ÑÑÐ°-Ð°Ð¼Ð¸Ð½Ð¾ÐºÐ¸ÑÐ»Ð¾Ñ, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐ¾Ð´ÐµÑÐ¶Ð°Ñ Ð½Ð°Ð¸Ð±Ð¾Ð»ÑÑÐµÐµ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ðµ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ Ð°ÑÐ¾Ð¼Ð¾Ð² ÑÐ³Ð»ÐµÑÐ¾Ð´Ð°: ÑÐ¸ÑÐ¾Ð·Ð¸Ð½, ÑÐµÐ½Ð¸Ð»Ð°Ð»Ð°Ð½Ð¸Ð½, ÑÑÐ¸Ð¿ÑÐ¾ÑÐ°Ð½. Ð­ÑÐ¾ Ð´Ð°ÐµÑ Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½Ð° Ð¿ÑÐ¾ÑÐ»ÐµÐ¶Ð¸Ð²Ð°ÐµÐ¼Ð¾ÑÑÑ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð¿Ð¾Ð´Ð¿Ð¸ÑÐ¸ Ð¿ÐµÑÐ²Ð¸ÑÐ½ÑÑ Ð²ÐµÑÐµÑÑÐ². ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ»ÐµÐ¶Ð¸Ð²Ð°ÐµÐ¼Ð¾ÑÑÐ¸ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð¿Ð¾Ð´Ð¿Ð¸ÑÐ¸ Ð¼Ð¾Ð¶ÐµÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑÑÑ Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð´ÐµÐ³ÑÐ°Ð´Ð°ÑÐ¸Ð¸ Ð¾ÑÐ³Ð°Ð½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð²ÐµÑÐµÑÑÐ²Ð° Ð² Ð³ÐµÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð¿ÑÐ¾Ð±Ð°Ñ.
description: The given work is devoted to finding a method of traceability of isotopic signatures of elements of the same category or origin. As a result, a solution to the traceability of an isotopic signature using twin arithmetic in the notation of V. M. Nesterov was proposed. Basic methods of working with interval samples were used, such as searching the interval sampling mod and measures of the similarity of sets expressed by the Jaccard index. This work is based on real IUPAC data and contains isotopic distributions of several chemical elements considering their origins. Traceability of the isotopic signature was considered using as examples aromatic alpha-amino acids containing the largest relative amount of carbon atoms: tyrosine, phenylalanine, tryptophan. This serves as the basis for traceability of the primary signature. The developed method for determining the traceability of the isotopic signature can be used to analyze the degradation of organic matter in geological samples.