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Differentiation in Normed Spaces Cover

Differentiation in Normed Spaces

Formalized Mathematics
Volume 21 (2013): Issue 2 (June 2013)
By:  and    
Open Access
|Jun 2013
References

References

  1. [1] Grzegorz Bancerek. Konig’s theorem., 1():589-593, 1990.
    Search in Google Scholar
  2. [2] Grzegorz Bancerek. The fundamental properties of natural numbers., 1():41-46, 1990.
    Search in Google Scholar
  3. [3] Grzegorz Bancerek. The ordinal numbers., 1():91-96, 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 Bylinski. Binary operations., 1():175-180, 1990.
    Search in Google Scholar
  6. [6] Czesław Bylinski. Functions and their basic properties., 1(): 55-65, 1990.
    Search in Google Scholar
  7. [7] Czesław Bylinski. Functions from a set to a set., 1():153-164, 1990.
    Search in Google Scholar
  8. [8] Czesław Bylinski. Partial functions., 1():357-367, 1990.
    Search in Google Scholar
  9. [9] Czesław Bylinski. Some basic properties of sets., 1():47-53, 1990.
    Search in Google Scholar
  10. [10] Agata Darmochwał. Finite sets., 1():165-167, 1990.
    Search in Google Scholar
  11. [11] Hiroshi Imura, Morishige Kimura, and Yasunari Shidama. The differentiable functions on normed linear spaces., 12():321-327, 2004.
    Search in Google Scholar
  12. [12] Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces., 12():269-275, 2004.
    Search in Google Scholar
  13. [13] Jan Popiołek. Real normed space., 2():111-115, 1991.
    Search in Google Scholar
  14. [14] Laurent Schwartz.. Hermann, 1981.
    Search in Google Scholar
  15. [15] Yasunari Shidama. Banach space of bounded linear operators., 12():39-48, 2004.
    Search in Google Scholar
  16. [16] Michał J. Trybulec. Integers., 1():501-505, 1990.
    Search in Google Scholar
  17. [17] Wojciech A. Trybulec. Vectors in real linear space., 1():291-296, 1990.
    Search in Google Scholar
  18. [18] Zinaida Trybulec. Properties of subsets., 1():67-71, 1990.
    Search in Google Scholar
  19. [19] Edmund Woronowicz. Relations and their basic properties., 1 ():73-83, 1990.
    Search in Google Scholar
  20. [20] Edmund Woronowicz. Relations defined on sets., 1():181-186, 1990.
    Search in Google Scholar
  21. [21] Hiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions., 3():171-175, 1992.
    Search in Google Scholar
DOI: https://doi.org/10.2478/forma-2013-0011 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 95 - 102
Published on: Jun 1, 2013
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Keywords:
formalization of Fréchet derivative,
Fréchet differentiability
Related subjects:
Computer sciences,
Artificial intelligence,
Computer sciences, other,
Mathematics,
Logic and set theory,
General mathematics

© 2013 Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 21 (2013): Issue 2 (June 2013)
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