Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
1. Summary..............................................................................................................5
2. Spectral measure theory for Boolean and Heyting algebras................................5
2.1. Introduction.......................................................................................................5
2.2. Spectral measures for Boolean algebras..........................................................5
2.3. Spectral supermeasures for Heyting algebras.................................................11
3. Theory of the integral for Boolean and Heyting algebras...................................14
3.1. Introduction.....................................................................................................14
3.2. Theory of the integral......................................................................................14
4. Some numerical characteristics of random variables on Heyting algebras.........18
4.1. Introduction.....................................................................................................18
4.2. Expectation and variance................................................................................18
4.3. Other fundamental numerical characteristics of random variables..................24
References............................................................................................................28
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
297
Liczba stron
28
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCXCVII
Daty
wydano
1990
Twórcy
autor
- ul. Francuska 34 m. 3, 03-905 Warszawa, Poland
Bibliografia
- [1] A. A. Borovkov, A Course in Probability Theory, "Nauka", Moscow 1972 (in Russian).
- [2] G. M. Fikhtengol'ts, Course of Differential nad Integral Calculus, "Nauka", Moscow 1969 (in Russian).
- [3] N. B. Haaser and I. A. Sullivan, Real Analysis, Van Nostrand Reinhold, New York 1971.
- [4] S. Mazurkiewicz, Foundations of Probability, PWN, Warsaw 1956 (in Polish).
- [5] H. Rasiowa and R. Sikorski, The Mathematics of Metamathematics, PWN, Warsaw 1968.
- [6] D. E. Rutherford, Introduction to Lattice Theory, Hafner, New York 1965.
- [7] E, Rydzyńska, The conditional probability on Heyting algebras and new geometry of the space of events, J. Math. Phys. Sci. 21(5) (1987).
- [8] E, Rydzyńska, Probability Heyting agebras, Demonstratio Math. 19 (1986), 573-589.
- [9] E, Rydzyńska, Radial hypothesis, Astrophys. and Space Sci. 137 (1987), 183-187.
- [10] R. Sikorski, Advanced Calculus. Functions of Several Variables, PWN, Warsaw 1969.
- [11] V. I. Sobolev, On half-ordered measure of sets, measurable functions and some abstract integrals, Dokl. Akad. Nauk SSSR 91 (1953), 23-26 (in Russian).
- [12] D. A. Vladimirov, Boolesche Algebren, Akademie-Verl., Berlin 1972.
- [13] B. Z. Vulikh, Introduction to the Theory of Half-ordered Fields, Gos. Izd. Fiz.-Mat. Lit., Moscow 1961 (in Russian).
Języki publikacji
EN |
Uwagi
Identyfikator YADDA
bwmeta1.element.zamlynska-d1406e4a-f257-4385-9972-e8164240f99d
Identyfikatory
ISBN
83-01-09895-3
ISSN
0012-3862
Kolekcja
DML-PL
