Skip to main content
Have a personal or library account? Click to login
Second-Order Partial Differentiation of Real Ternary Functions Cover

Second-Order Partial Differentiation of Real Ternary Functions

Formalized Mathematics
Volume 18 (2010): Issue 2 (June 2010)
By:   
Open Access
|Jan 2011
References

References

  1. [1] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1():107-114, 1990.
    Search in Google Scholar
  2. [2] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets., 1():529-536, 1990.
    Search in Google Scholar
  3. [3] Czesław Byliński. Functions and their basic properties., 1():55-65, 1990.
    Search in Google Scholar
  4. [4] Czesław Byliński. Functions from a set to a set., 1():153-164, 1990.
    Search in Google Scholar
  5. [5] Czesław Byliński. Partial functions., 1():357-367, 1990.
    Search in Google Scholar
  6. [6] Agata Darmochwał. The Euclidean space., 2():599-603, 1991.
    Search in Google Scholar
  7. [7] Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. Partial differentiation on normed linear spaces R., 15():65-72, 2007, doi:10.2478/v10037-007-0008-5.
    Open DOISearch in Google Scholar
  8. [8] Krzysztof Hryniewiecki. Basic properties of real numbers., 1():35-40, 1990.
    Search in Google Scholar
  9. [9] Jarosław Kotowicz. Convergent sequences and the limit of sequences., 1():273-275, 1990.
    Search in Google Scholar
  10. [10] Jarosław Kotowicz. Real sequences and basic operations on them., 1():269-272, 1990.
    Search in Google Scholar
  11. [11] Konrad Raczkowski and Paweł Sadowski. Real function continuity., 1():787-791, 1990.
    Search in Google Scholar
  12. [12] Konrad Raczkowski and Paweł Sadowski. Real function differentiability., 1():797-801, 1990.
    Search in Google Scholar
  13. [13] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers., 1():777-780, 1990.
    Search in Google Scholar
  14. [14] Walter Rudin.. MacGraw-Hill, 1976.
    Search in Google Scholar
  15. [15] Edmund Woronowicz. Relations defined on sets., 1():181-186, 1990.
    Search in Google Scholar
  16. [16] Bing Xie, Xiquan Liang, and Hongwei Li. Partial differentiation of real binary functions., 16():333-338, 2008, doi:10.2478/v10037-008-0041-z.
    Open DOISearch in Google Scholar
  17. [17] Bing Xie, Xiquan Liang, and Xiuzhuan Shen. Second-order partial differentiation of real binary functions., 17():79-87, 2009, doi: 10.2478/v10037-009-0009-7.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/v10037-010-0015-9 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Journal RSS Feed
Language: English
Page range: 113 - 127
Published on: Jan 5, 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 Takao Inoué, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 18 (2010): Issue 2 (June 2010)
Previous article
Next article