Nonlinear model of a straight line

• Autorzy: Piegat A.
• Języki publikacji: EN

Abstrakty

EN

A straight line seems to be the symbol of linearity. Scientific books on the analytical geometry present only linear mathematical models of a straight line in space. This paper shows that linear models of a straight line dominate only in the 1D- and 2D-space. Instead, in the 3D-and higher spaces also non-linear models can be applied. They define a line with only one equation, whereas linear models consist of a number of separate equations. Non-linear models of a straight line can be used in many applications, e.g. in constructing non-regular fuzzy models [1].

Słowa kluczowe

EN

straight line; straight-line model; straight-line equation; analytic geometry

• Wydawca: Komisja Informatyki Polskiej Akademii Nauk, Oddział w Gdańsku
• Czasopismo: Metody Informatyki Stosowanej
• Rocznik: 2011
• Tom: nr 5
• Strony: 221--232
• Opis fizyczny: Bibliogr. 7., rys.

Twórcy

autor

Piegat A.

• West Pomeranian University of Technology, Szczecin Faculty of Comupter Science and Information Technology

Bibliografia

• [1] A.Piegat, M. Olchowy. Kontekstowy, jednosektorowy, nieregularny model rozmyty oparty na 4 punktach wiedzy. (Contextual, one-sector, non-regular fuzzy model based on 4 knowledge points). Pomiary-Automatyka-Kontrola (PAK), 56(10):1193–1196, 2010.
• [2] R. Faber. Foundations of Euclidian and non-Euclidian geometry. Marcel Dekker, New York, 1983.
• [3] F. Leja. Analytical geometry. Wydanie 10-te, PWN [in Polish], Warszawa, 1977.
• [4] W. Bartol, et al. Encyclopedia for everybody – Mathematics. Wydawnictwo Naukowo-Techniczne [in Polish], Warszawa, 2000.
• [5] K. Bie´nkowska, et al. Engineer handbook – Mathematics. Wydawnictwo Naukowo-Techniczne [in Polish], Warszawa, 1971.
• [6] N. Bernstein, K. Semendjajew, G. Musiol, H. Muehlig. Taschenbuch der Mathematik (Handbook of Mathematics). 5-te ueberbeitete und erweiterte Auflage, Verlag Harri Deutsch, Thun und Frankfurt am Main, 2001.
• [7] Line (geometry). Wikipedia 2011. http://en.wikipedia.org/wiki/Line-(geometry).