AN AMENDMENT TO THE FUNDAMENTAL LIMITS ON DIMENSION CALCULATIONS

Autor:	Shi-Ming Hong, Shi-Zhong Hong
Rok vydání:	1994
Předmět:	Nonlinear Sciences::Chaotic Dynamics Data set Discrete mathematics Applied Mathematics Modeling and Simulation Mathematical analysis Dimension (graph theory) Geometry and Topology Mathematics
Zdroj:	Fractals. :123-125
ISSN:	1793-6543 0218-348X
Popis:	Fundamental limits on the minimum size of a data set is an important problem to estimate dimensions for practical objects, using the Grassberger–Procaccia algorithm. We amend the results previously given by Smith (1988) and Eckmann and Ruelle (1992) respectively, and establish a new inequality $N_{\min} > \sqrt{2}\cdot (\sqrt{27.5})^D$.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::07d161232df51b45beb833a8e0381052 https://doi.org/10.1142/s0218348x94000119 Zobrazit plný text záznamu