title: ÐÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½ÑÐµ Ð¼ÐµÑÑ ÑÐ¾Ð²Ð¼ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð² Ð°Ð½Ð°Ð»Ð¸Ð·Ðµ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ
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: Asymmetric measures of consistency in analysisisotope data
Creators: name: ÐÐ°Ð±Ð´ÑÐ°ÑÐ¼Ð°Ð½Ð¾Ð², ÐÑ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: 2024
Subjects: Ð½ÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½ÑÐµ Ð¼ÐµÑÑ
Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·
ÑÐ²Ð¸Ð½Ð½Ð°Ñ Ð°ÑÐ¸ÑÐ¼ÐµÑÐ¸ÐºÐ°
Ð¸Ð·Ð¾ÑÐ¾Ð¿Ñ
Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½Ð°Ñ Ð¿Ð¾Ð´Ð¿Ð¸ÑÑ
Ð¼Ð¾Ð´Ð° Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½Ð¾Ð¹ Ð²ÑÐ±Ð¾ÑÐºÐ¸
Ð¼ÐµÑÑ ÑÑ Ð¾Ð´ÑÑÐ²Ð°
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ Ð¶Ð°ÐºÐºÐ°ÑÐ°
ÑÑÐ°Ð±Ð¸Ð»ÑÐ½ÑÐµ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ñ
asymmetric measures
interval analysis
twin arithmetic
isotopes
isotopic signature
mode of interval sampling
similarity measures
jaccard coefficient
stable isotopes

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½ÑÐµ Ð¼ÐµÑÑ ÑÐ¾Ð²Ð¼ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð² Ð°Ð½Ð°Ð»Ð¸Ð·Ðµ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑÂ». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð½ÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½ÑÑ Ð¼ÐµÑ ÑÐ¾Ð²Ð¼ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÑ Ð´Ð°Ð½Ð½Ñ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 Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ Ð¸ Ð½Ð°Ð´ÐµÐ¶Ð½Ð¾ÑÑÐ¸ Ð¸Ð½ÑÐµÑÐ¿ÑÐµÑÐ°ÑÐ¸Ð¸ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑ Ð¼ÐµÑÐ¾Ð´Ñ Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ ÑÐ²Ð¸Ð½Ð½Ð¾Ð¹ Ð°ÑÐ¸ÑÐ¼ÐµÑÐ¸ÐºÐ¸. ÐÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð½ÑÐµ Ð² ÑÐ°Ð±Ð¾ÑÐµ, Ð²ÐºÐ»ÑÑÐ°ÑÑ 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, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¿ÑÐµÐ´Ð¾ÑÑÐ°Ð²Ð»ÑÑÑ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÐµ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ñ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Ð½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐ°Ñ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð², ÑÐ°ÐºÐ¸Ñ ÐºÐ°Ðº ÑÐ³Ð»ÐµÑÐ¾Ð´, Ð²Ð¾Ð´Ð¾ÑÐ¾Ð´, ÑÐµÑÐ° Ð¸ ÐºÐ¸ÑÐ»Ð¾ÑÐ¾Ð´, Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¿ÑÐ¸ÑÐ¾Ð´Ð½ÑÑ Ð¸ Ð°Ð½ÑÑÐ¾Ð¿Ð¾Ð³ÐµÐ½Ð½ÑÑ Ð¾Ð±ÑÐµÐºÑÐ°Ñ. Ð­ÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð¾ ÑÐ³Ð»ÑÐ±Ð¸ÑÑ Ð¿Ð¾Ð½Ð¸Ð¼Ð°Ð½Ð¸Ðµ ÑÐ¸ÐºÐ»Ð¾Ð² ÑÑÐ°Ð±Ð¸Ð»ÑÐ½ÑÑ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð¾Ð² Ð² Ð¿ÑÐ¸ÑÐ¾Ð´Ðµ Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°ÑÑ Ð½Ð¾Ð²ÑÐµ Ð¿Ð¾Ð´ÑÐ¾Ð´Ñ Ðº Ð°Ð½Ð°Ð»Ð¸Ð·Ñ Ð¸ Ð¸Ð½ÑÐµÑÐ¿ÑÐµÑÐ°ÑÐ¸Ð¸ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ Ð¼ÐµÑÐ¾Ð´Ñ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð´Ð»Ñ Ð±Ð¾Ð»ÐµÐµ ÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ Ð¸Ð½ÑÐµÑÐ¿ÑÐµÑÐ°ÑÐ¸Ð¸ Ð¸Ð·Ð¾ÑÐ¾Ð¿Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ, ÑÑÐ¾ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ Ð²Ð°Ð¶Ð½Ð¾ Ð´Ð»Ñ Ð³ÐµÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð¸ Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹, Ð° ÑÐ°ÐºÐ¶Ðµ Ð´Ð»Ñ Ð¸Ð·ÑÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð² Ð³Ð¸Ð´ÑÐ¾ÑÑÐµÑÐµ Ð¸ Ð°ÑÐ¼Ð¾ÑÑÐµÑÐµ.
description: The subject of the graduate qualification work is Â«Asymmetric measures of compatibility in isotope data analysisÂ». This work is dedicated to the development and application of asymmetric measures of consistency for the analysis of isotopic data. As a result, a solution was proposed to improve the accuracy and reliability of isotopic data interpretation using interval analysis and twin arithmetic methods. The main methods used in the work include finding the mode of interval sampling and measures of set similarity expressed by the Jaccard coefficient. The work was conducted on real IUPAC data, which provide isotopic distributions of various chemical elements considering their origins. The analysis was conducted on examples of elements such as carbon, hydrogen, sulfur, and oxygen in various natural and anthropogenic objects. This allowed for a deeper understanding of the cycles of stable isotopes in nature and the development of new approaches to the analysis and interpretation of isotopic data. The obtained results and methods can be used for more accurate analysis and interpretation of isotopic data, which is especially important for geological and biological research, as well as for the study of processes in the hydrosphere and atmosphere.