Euler characteristic of phase diagrams containing splitting areas of open type
The analysis of phase diagrams of quaternary systems with open splitting arrears was made. In relation to these diagrams an approach based on the analysis of Euler characteristic as a topological invariant of splitting diagrams was used. From one hand, Euler characteristic depends from the spheres d...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | Russian |
| Published: |
MIREA - Russian Technological University
2014-10-01
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| Series: | Тонкие химические технологии |
| Subjects: | |
| Online Access: | https://www.finechem-mirea.ru/jour/article/view/433 |
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| Summary: | The analysis of phase diagrams of quaternary systems with open splitting arrears was made. In relation to these diagrams an approach based on the analysis of Euler characteristic as a topological invariant of splitting diagrams was used. From one hand, Euler characteristic depends from the spheres dimension (for the second dimension it is 2). From the other hand, for diagram graphs it can be determined as a sum of elements of different dimensions. The presence of the open splitting area breaks the surface of the tetrahedron homeomorphic to the sphere into two parts. In this way Euler characteristic changes. |
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| ISSN: | 2410-6593 2686-7575 |