DSpace Kolekcja: http://hdl.handle.net/11320/3519 2026-06-01T15:23:52Z 2026-06-01T15:23:52Z Labelled State Transition Systems Trybulec, Michał http://hdl.handle.net/11320/3533 2017-10-05T22:56:29Z 2009-01-01T00:00:00Z 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. 2009-01-01T00:00:00Z Probability on Finite and Discrete Set and Uniform Distribution Okazaki, Hiroyuki http://hdl.handle.net/11320/3534 2017-10-05T22:56:29Z 2009-01-01T00:00:00Z 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]. 2009-01-01T00:00:00Z Basic Properties of Even and Odd Functions Li, Bo Men, Yanhong http://hdl.handle.net/11320/3536 2017-10-05T22:56:30Z 2009-01-01T00:00:00Z 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]. 2009-01-01T00:00:00Z Hopf Extension Theorem of Measure Endou, Noboru Okazaki, Hiroyuki Shidama, Yasunari http://hdl.handle.net/11320/3532 2017-10-05T22:56:29Z 2009-01-01T00:00:00Z 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