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Integral of Real-Valued Measurable Function1 Cover

Integral of Real-Valued Measurable Function1

Open Access
|Jun 2008

References

  1. [1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
  2. [2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.
  3. [3] Józef Białas. Infimum and supremum of the set of real numbers. Measure theory. Formalized Mathematics, 2(1):163-171, 1991.
  4. [4] Józef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173-183, 1991.
  5. [5] Józef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263-270, 1991.
  6. [6] Józef Białas. Some properties of the intervals. Formalized Mathematics, 5(1):21-26, 1996.
  7. [7] Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990.
  8. [8] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
  9. [9] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
  10. [10] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.
  11. [11] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
  12. [12] Noboru Endou and Yasunari Shidama. Integral of measurable function. Formalized Mathematics, 14(2):53-70, 2006.10.2478/v10037-006-0008-x
  13. [13] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Basic properties of extended real numbers. Formalized Mathematics, 9(3):491-494, 2001.
  14. [14] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions. Formalized Mathematics, 9(3):495-500, 2001.
  15. [15] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. The measurability of extended real valued functions. Formalized Mathematics, 9(3):525-529, 2001.
  16. [16] P. R. Halmos. Measure Theory. Springer-Verlag, 1987.
  17. [17] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
  18. [18] Andrzej Kondracki. Basic properties of rational numbers. Formalized Mathematics, 1(5):841-845, 1990.
  19. [19] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.
  20. [20] Jarosław Kotowicz and Yuji Sakai. Properties of partial functions from a domain to the set of real numbers. Formalized Mathematics, 3(2):279-288, 1992.
  21. [21] Andrzej Nedzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401-407, 1990.
  22. [22] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
  23. [23] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
  24. [24] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.
  25. [25] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
  26. [26] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
  27. [27] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
DOI: https://doi.org/10.2478/v10037-006-0018-8 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 143 - 152
Published on: Jun 13, 2008
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2008 Yasunari Shidama, Noboru Endou, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 14 (2006): Issue 4 (December 2006)