Have a personal or library account? Click to login
Continuity of Barycentric Coordinates in Euclidean Topological Spaces Cover

Continuity of Barycentric Coordinates in Euclidean Topological Spaces

By: Karol Pąk  
Open Access
|Apr 2012

References

  1. Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
  2. Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.
  3. Grzegorz Bancerek. König's theorem. Formalized Mathematics, 1(3):589-593, 1990.
  4. Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.
  5. Czesław Byliński. Binary operations applied to finite sequences. Formalized Mathematics, 1(4):643-649, 1990.
  6. Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.
  7. Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
  8. Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
  9. Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
  10. Czesław Byliński. Introduction to real linear topological spaces. Formalized Mathematics, 13(1):99-107, 2005.
  11. Jing-Chao Chen. The Steinitz theorem and the dimension of a real linear space. Formalized Mathematics, 6(3):411-415, 1997.
  12. Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
  13. Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.
  14. Agata Darmochwał and Yatsuka Nakamura. Metric spaces as topological spaces - fundamental concepts. Formalized Mathematics, 2(4):605-608, 1991.
  15. Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Convex sets and convex combinations. Formalized Mathematics, 11(1):53-58, 2003.
  16. Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Dimension of real unitary space. Formalized Mathematics, 11(1):23-28, 2003.
  17. Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
  18. Artur Korniłowicz. The correspondence between n-dimensional Euclidean space and the product of n real lines. Formalized Mathematics, 18(1):81-85, 2010, doi: 10.2478/v10037-010-0011-0.10.2478/v10037-010-0011-0
  19. Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.
  20. Anna Lango and Grzegorz Bancerek. Product of families of groups and vector spaces. Formalized Mathematics, 3(2):235-240, 1992.
  21. Robert Milewski. Associated matrix of linear map. Formalized Mathematics, 5(3):339-345, 1996.
  22. Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.
  23. Karol Pąk. Affine independence in vector spaces. Formalized Mathematics, 18(1):87-93, 2010, doi: 10.2478/v10037-010-0012-z.10.2478/v10037-010-0012-z
  24. Karol Pąk. Linear transformations of Euclidean topological spaces. Formalized Mathematics, 19(2):103-108, 2011, doi: 10.2478/v10037-011-0016-3.10.2478/v10037-011-0016-3
  25. Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.
  26. Wojciech A. Trybulec. Basis of real linear space. Formalized Mathematics, 1(5):847-850, 1990.
  27. Wojciech A. Trybulec. Basis of vector space. Formalized Mathematics, 1(5):883-885, 1990.
  28. Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
  29. Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
  30. Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
  31. Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
  32. Hiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions. Formalized Mathematics, 3(2):171-175, 1992.
  33. Katarzyna Zawadzka. The sum and product of finite sequences of elements of a field. Formalized Mathematics, 3(2):205-211, 1992.
DOI: https://doi.org/10.2478/v10037-011-0022-5 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 139 - 144
Published on: Apr 26, 2012
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2012 Karol Pąk, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 19 (2011): Issue 3 (September 2011)