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http://hdl.handle.net/11320/3519
2020-01-27T23:59:21ZLabelled State Transition Systems
http://hdl.handle.net/11320/3533
Tytuł: Labelled State Transition Systems
Autorzy: Trybulec, Michał
Abstrakt: This article introduces labelled state transition systems, where transitions may be labelled by words from a given alphabet. Reduction relations from [4] are used to define transitions between states, acceptance of words, and reachable states. Deterministic transition systems are also defined.2009-01-01T00:00:00ZBasic Properties of Even and Odd Functions
http://hdl.handle.net/11320/3536
Tytuł: Basic Properties of Even and Odd Functions
Autorzy: Li, Bo; Men, Yanhong
Abstrakt: In this article we present definitions, basic properties and some
examples of even and odd functions [6].2009-01-01T00:00:00ZProbability on Finite and Discrete Set and Uniform Distribution
http://hdl.handle.net/11320/3534
Tytuł: Probability on Finite and Discrete Set and Uniform Distribution
Autorzy: Okazaki, Hiroyuki
Abstrakt: A pseudorandom number generator plays an important role in practice in computer science. For example: computer simulations, cryptology, and so on. A pseudorandom number generator is an algorithm to generate a sequence of numbers that is indistinguishable from the true random number sequence. In this article, we shall formalize the "Uniform Distribution" that is the idealized set of true random number sequences. The basic idea of our formalization is due to [15].2009-01-01T00:00:00ZHopf Extension Theorem of Measure
http://hdl.handle.net/11320/3532
Tytuł: Hopf Extension Theorem of Measure
Autorzy: Endou, Noboru; Okazaki, Hiroyuki; Shidama, Yasunari
Abstrakt: The authors have presented some articles about Lebesgue type integration theory. In our previous articles [12, 13, 26], we assumed that some σ-additive measure existed and that a function was measurable on that measure. However the existence of such a measure is not trivial. In general, because the construction of a finite additive measure is comparatively easy, to induce a σ-additive measure a finite additive measure is used. This is known as an E. Hopf's extension theorem of measure [15].2009-01-01T00:00:00Z