The metallic means family (MMF)
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
The main purpose of this presentation is to introduce a new family of quadratic irrational numbers. This family was introduced by the author in 1997 as the Metallic Means Family (MMF). Its more prominent member is the well known Golden Mean . Among its relatives, let us mention the Silver Mean, the Bronze Mean, the Copper Mean, the Nickel Mean, etc. They are a family because, aside from carrying the name of a metal, they enjoy common mathematical properties. For example, they are subdivided into two subfamilies: a) the subfamily of the positive irrational numbers that have a purely periodic continued fraction expansions b) the subfamily which members have a periodic continued fraction expansion. The members of the first subfamily are fundamental in the actual research on the stability of micro- and macro-physical systems, going from the DNA internal structure to the astronomical galaxies. The main results of this new research are: 1) The members of the MMF intervene in the determination of the quasiperiodical behavior of non linear dynamical systems, being therefore an invaluable key in the search of universal ways on the roads to chaos. 2) The numerical sequences based on the members of the MMF satisfy many additive properties and simultaneously are geometric sequences, having been in consequence chosen as basis of different systems of proportions, particularly the Golden Mean and the Silver Mean.
Açıklama
Anahtar Kelimeler
Continued fraction expansions, Metallic means, Golden mean, Silver mean
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
de Spinadel, V. W. (2009). The metallic means family (MMF). Maltepe Üniversitesi. s. 379.
