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Construction of Measure from Semialgebra of Sets1

   | 25. März 2016

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[1] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377–382, 1990.Search in Google Scholar

[2] Grzegorz Bancerek. König’s theorem. Formalized Mathematics, 1(3):589–593, 1990.Search in Google Scholar

[3] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.Search in Google Scholar

[4] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.Search in Google Scholar

[5] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.Search in Google Scholar

[6] Józef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263–270, 1991.Search in Google Scholar

[7] Józef Białas. Properties of Caratheodor’s measure. Formalized Mathematics, 3(1):67–70, 1992.Search in Google Scholar

[8] Józef Białas. Infimum and supremum of the set of real numbers. Measure theory. Formalized Mathematics, 2(1):163–171, 1991.Search in Google Scholar

[9] Józef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173–183, 1991.Search in Google Scholar

[10] V.I. Bogachev. Measure Theory, volume 1. Springer, 2006.10.1007/978-3-540-34514-5Search in Google Scholar

[11] Czesław Byliński. Binary operations applied to finite sequences. Formalized Mathematics, 1(4):643–649, 1990.Search in Google Scholar

[12] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529–536, 1990.Search in Google Scholar

[13] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1): 55–65, 1990.Search in Google Scholar

[14] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990.Search in Google Scholar

[15] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990.Search in Google Scholar

[16] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47–53, 1990.Search in Google Scholar

[17] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165–167, 1990.Search in Google Scholar

[18] Noboru Endou and Yasunari Shidama. Integral of measurable function. Formalized Mathematics, 14(2):53–70, 2006. doi:10.2478/v10037-006-0008-x.10.2478/v10037-006-0008-xSearch in Google Scholar

[19] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Basic properties of extended real numbers. Formalized Mathematics, 9(3):491–494, 2001.Search in Google Scholar

[20] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions. Formalized Mathematics, 9(3):495–500, 2001.Search in Google Scholar

[21] Noboru Endou, Keiko Narita, and Yasunari Shidama. The Lebesgue monotone convergence theorem. Formalized Mathematics, 16(2):167–175, 2008. doi:10.2478/v10037-008-0023-1.10.2478/v10037-008-0023-1Search in Google Scholar

[22] Noboru Endou, Hiroyuki Okazaki, and Yasunari Shidama. Hopf extension theorem of measure. Formalized Mathematics, 17(2):157–162, 2009. doi:10.2478/v10037-009-0018-6.10.2478/v10037-009-0018-6Search in Google Scholar

[23] Noboru Endou, Kazuhisa Nakasho, and Yasunari Shidama. σ-ring and σ-algebra of sets. Formalized Mathematics, 23(1):51–57, 2015. doi:10.2478/forma-2015-0004.10.2478/forma-2015-0004Search in Google Scholar

[24] P. R. Halmos. Measure Theory. Springer-Verlag, 1974.Search in Google Scholar

[25] Andrzej Kondracki. The Chinese Remainder Theorem. Formalized Mathematics, 6(4): 573–577, 1997.Search in Google Scholar

[26] Robert Milewski. Associated matrix of linear map. Formalized Mathematics, 5(3):339–345, 1996.Search in Google Scholar

[27] Andrzej Nędzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401–407, 1990.Search in Google Scholar

[28] Andrzej Nędzusiak. Probability. Formalized Mathematics, 1(4):745–749, 1990.Search in Google Scholar

[29] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147–152, 1990.Search in Google Scholar

[30] Konrad Raczkowski and Andrzej Nędzusiak. Series. Formalized Mathematics, 2(4):449–452, 1991.Search in Google Scholar

[31] M.M. Rao. Measure Theory and Integration. CRC Press, 2nd edition, 2004.Search in Google Scholar

[32] Andrzej Trybulec and Agata Darmochwał. Boolean domains. Formalized Mathematics, 1 (1):187–190, 1990.Search in Google Scholar

[33] Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences. Formalized Mathematics, 1(3):569–573, 1990.Search in Google Scholar

[34] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.Search in Google Scholar

[35] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73–83, 1990.Search in Google Scholar

[36] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990.Search in Google Scholar

eISSN:
1898-9934
ISSN:
1426-2630
Sprache:
Englisch
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