DSpace Kolekcja: http://hdl.handle.net/11320/3466 Mon, 01 Jun 2026 17:21:03 GMT 2026-06-01T17:21:03Z Arithmetic Operations on Functions from Sets into Functional Sets http://hdl.handle.net/11320/3518 Tytuł: Arithmetic Operations on Functions from Sets into Functional Sets Autorzy: Korniłowicz, Artur Abstrakt: In this paper we introduce sets containing number-valued functions. Different arithmetic operations on maps between any set and such functional sets are later defined. Thu, 01 Jan 2009 00:00:00 GMT http://hdl.handle.net/11320/3518 2009-01-01T00:00:00Z The Real Vector Spaces of Finite Sequences are Finite Dimensional http://hdl.handle.net/11320/3514 Tytuł: The Real Vector Spaces of Finite Sequences are Finite Dimensional Autorzy: Nakamura, Yatsuka; Korniłowicz, Artur; Oya, Nagato; Shidama, Yasunari Abstrakt: In this paper we show the finite dimensionality of real linear spaces with their carriers equal Rn. We also give the standard basis of such spaces. For the set Rn we introduce the concepts of linear manifold subsets and orthogonal subsets. The cardinality of orthonormal basis of discussed spaces is proved to equal n. Thu, 01 Jan 2009 00:00:00 GMT http://hdl.handle.net/11320/3514 2009-01-01T00:00:00Z Cell Petri Net Concepts http://hdl.handle.net/11320/3517 Tytuł: Cell Petri Net Concepts Autorzy: Jitsukawa, Mitsuru; Kawamoto, Pauline N.; Shidama, Yasunari; Nakamura, Yatsuka Abstrakt: Based on the Petri net definitions and theorems already formalized in [8], with this article, we developed the concept of "Cell Petri Nets". It is based on [9]. In a cell Petri net we introduce the notions of colors and colored states of a Petri net, connecting mappings for linking two Petri nets, firing rules for transitions, and the synthesis of two or more Petri nets. Thu, 01 Jan 2009 00:00:00 GMT http://hdl.handle.net/11320/3517 2009-01-01T00:00:00Z Several Integrability Formulas of Special Functions. Part II http://hdl.handle.net/11320/3516 Tytuł: Several Integrability Formulas of Special Functions. Part II Autorzy: Li, Bo; Zhuang, Yanping; Men, Yanhong; Liang, Xiquan Abstrakt: In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3]. Thu, 01 Jan 2009 00:00:00 GMT http://hdl.handle.net/11320/3516 2009-01-01T00:00:00Z