Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2015
Abstract
In this book authors name the interval [0, m); 2 ≤ m ≤ ∞ as mod interval. We have studied several properties about them but only here on wards in this book and forthcoming books the interval [0, m) will be termed as the mod real interval, [0, m)I as mod neutrosophic interval, [0,m)g; g2 = 0 as mod dual number interval, [0, m)h; h2 = h as mod special dual like number interval and [0, m)k, k2 = (m − 1) k as mod special quasi dual number interval. However there is only one real interval (∞, ∞) but there are infinitely many mod real intervals [0, m); 2 ≤ m ≤ ∞. The mod complex modulo finite integer interval (0, m) iF; iF2= (m − 1) does not satisfy any nice properly as that interval is not closed under product . Here we define mod transformations and discuss several interesting features about them. So chapter one of this book serves the purpose of only recalling these properties.
Publisher
EuropaNova, Brussels
ISSN
978-1-59973-365-4
Language (ISO)
English
Keywords
mod real interval, mod neutrosophic interval, neutrosophic logic
Recommended Citation
W.B. Vasantha Kandasamy, K. Ilanthenral, F. Smarandache. Multidimensional MOD Planes. Brussels: EuropaNova ASBL, 2015
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Included in
Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Applied Mathematics Commons, Discrete Mathematics and Combinatorics Commons