The Relevance of Measure and Probability, and Definition of Completeness of Probability
Bo Zhang; Hiroshi Yamazaki; Yatsuka Nakamura
Formalized Mathematics (2006)
- Volume: 14, Issue: 4, page 225-229
- ISSN: 1426-2630
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
- [2] Grzegorz Bancerek. Köonig's theorem. Formalized Mathematics, 1(3):589-593, 1990.
- [3] Józef Białas. Completeness of the σ-additive measure. Measure theory. Formalized Mathematics, 2(5):689-693, 1991.
- [4] Józef Białas. Infimum and supremum of the set of real numbers. Measure theory. Formalized Mathematics, 2(1):163-171, 1991.
- [5] Józef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173-183, 1991.
- [6] Józef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263-270, 1991.
- [7] Józef Białas. Some properties of the intervals. Formalized Mathematics, 5(1):21-26, 1996.
- [8] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
- [9] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
- [10] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
- [11] Czesław Byliński and Piotr Rudnicki. Bounding boxes for compact sets in ε2. Formalized Mathematics, 6(3):427-440, 1997.
- [12] Jarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.
- [13] Andrzej Nędzusiak. Probability. Formalized Mathematics, 1(4):745-749, 1990.
- [14] Andrzej Nędzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401-407, 1990.
- [15] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
- [16] Konrad Raczkowski and Andrzej Nędzusiak. Series. Formalized Mathematics, 2(4):449-452, 1991.
- [17] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
- [18] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
- [19] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
- [20] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
- [21] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
- [22] Bo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Inferior limit and superior limit of sequences of real numbers. Formalized Mathematics, 13(3):375-381, 2005.
- [23] Bo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Set sequences and monotone class. Formalized Mathematics, 13(4):435-441, 2005.
Citations in EuDML Documents
top- Hiroyuki Okazaki, Yasunari Shidama, Random Variables and Product of Probability Spaces
- Hiroyuki Okazaki, Yasunari Shidama, Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables
- Hiroyuki Okazaki, Yasunari Shidama, Probability on Finite Set and Real-Valued Random Variables