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Linear Transformations of Euclidean Topological Spaces. Part II Cover

Linear Transformations of Euclidean Topological Spaces. Part II

Formalized Mathematics
Volume 19 (2011): Issue 2 (June 2011)
By:   
Open Access
|Jul 2011
References

References

  1. [1] Jesse Alama. The rank+nullity theorem., 15():137-142, 2007, doi:10.2478/v10037-007-0015-6.
    Open DOISearch in Google Scholar
  2. [2] Grzegorz Bancerek. Cardinal numbers., 1():377-382, 1990.
    Search in Google Scholar
  3. [3] Grzegorz Bancerek. The fundamental properties of natural numbers., 1():41-46, 1990.
    Search in Google Scholar
  4. [4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1():107-114, 1990.
    Search in Google Scholar
  5. [5] Czesław Byliński. Functions and their basic properties., 1():55-65, 1990.
    Search in Google Scholar
  6. [6] Czesław Byliński. Functions from a set to a set., 1():153-164, 1990.
    Search in Google Scholar
  7. [7] Czesław Byliński. Partial functions., 1():357-367, 1990.
    Search in Google Scholar
  8. [8] Czesław Byliński. The sum and product of finite sequences of real numbers., 1():661-668, 1990.
    Search in Google Scholar
  9. [9] Agata Darmochwał. The Euclidean space., 2():599-603, 1991.
    Search in Google Scholar
  10. [10] Katarzyna Jankowska. Matrices. Abelian group of matrices., 2():475-480, 1991.
    Search in Google Scholar
  11. [11] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces., 1():335-342, 1990.
    Search in Google Scholar
  12. [12] Anna Lango and Grzegorz Bancerek. Product of families of groups and vector spaces., 3():235-240, 1992.
    Search in Google Scholar
  13. [13] Robert Milewski. Associated matrix of linear map., 5():339-345, 1996.
    Search in Google Scholar
  14. [14] Karol Pąk. Basic properties of the rank of matrices over a field., 15():199-211, 2007, doi:10.2478/v10037-007-0024-5.
    Open DOISearch in Google Scholar
  15. [15] Karol Pąk. Affine independence in vector spaces., 18():87-93, 2010, doi: 10.2478/v10037-010-0012-z.
    Open DOISearch in Google Scholar
  16. [16] Karol Pąk. Linear transformations of Euclidean topological spaces., 19():103-108, 2011, doi: 10.2478/v10037-011-0016-3.
    Open DOISearch in Google Scholar
  17. [17] Wojciech A. Trybulec. Basis of real linear space., 1():847-850, 1990.
    Search in Google Scholar
  18. [18] Wojciech A. Trybulec. Basis of vector space., 1():883-885, 1990.
    Search in Google Scholar
  19. [19] Wojciech A. Trybulec. Linear combinations in real linear space., 1():581-588, 1990.
    Search in Google Scholar
  20. [20] Wojciech A. Trybulec. Linear combinations in vector space., 1():877-882, 1990.
    Search in Google Scholar
  21. [21] Wojciech A. Trybulec. Subspaces and cosets of subspaces in real linear space., 1():297-301, 1990.
    Search in Google Scholar
  22. [22] Wojciech A. Trybulec. Subspaces and cosets of subspaces in vector space., 1():865-870, 1990.
    Search in Google Scholar
  23. [23] Wojciech A. Trybulec. Vectors in real linear space., 1():291-296, 1990.
    Search in Google Scholar
  24. [24] Edmund Woronowicz. Relations defined on sets., 1():181-186, 1990.
    Search in Google Scholar
  25. [25] Xiaopeng Yue, Xiquan Liang, and Zhongpin Sun. Some properties of some special matrices., 13():541-547, 2005.
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10037-011-0017-2 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 109 - 112
Published on: Jul 18, 2011
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Related subjects:
Computer sciences,
Artificial intelligence,
Computer sciences, other,
Mathematics,
Logic and set theory,
General mathematics

© 2011 Karol Pąk, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 19 (2011): Issue 2 (June 2011)
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