Have a personal or library account? Click to login
Basic Properties and Concept of Selected Subsequence of Zero Based Finite Sequences Cover

Basic Properties and Concept of Selected Subsequence of Zero Based Finite Sequences

By: Yatsuka Nakamura and  Hisashi Ito  
Open Access
|Mar 2009

References

  1. [1] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
  2. [2] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.
  3. [3] Grzegorz Bancerek. Increasing and continuous ordinal sequences. Formalized Mathematics, 1(4):711-714, 1990.
  4. [4] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
  5. [5] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
  6. [6] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
  7. [7] Paul R. Halmos. Lectures on Ergodic Theory. The Mathematical Society of Japan, 1956. No.3.
  8. [8] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
  9. [9] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.
  10. [10] Karol Pαk. Cardinal numbers and finite sets. Formalized Mathematics, 13(3):399-406, 2005.
  11. [11] Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003.
  12. [12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
  13. [13] Tetsuya Tsunetou, Grzegorz Bancerek, and Yatsuka Nakamura. Zero-based finite sequences. Formalized Mathematics, 9(4):825-829, 2001.
  14. [14] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
DOI: https://doi.org/10.2478/v10037-008-0034-y | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 283 - 288
Published on: Mar 20, 2009
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2009 Yatsuka Nakamura, Hisashi Ito, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 16 (2008): Issue 3 (September 2008)