Quaternions and Their Generalizations
نویسندگان
چکیده
منابع مشابه
Decompositions of Quaternions and Their Matrix Equivalents
Since quaternions have isomorphic representations in matrix form we investigate various well known matrix decompositions for quaternions.
متن کاملGeneralizations of the Skew t-Normal Distribution and their Properties
In this paper we consider several generalizations of the skew t-normal distribution, and some of their properties. Also, we represent several theorems for constructing each generalized skew t-normal distribution. Next, we illustrate the application of the proposed distribution studying the ratio of two heavy metals, Nickel and Vanadium, associated with crude oil in Shadgan wetland in the south-...
متن کاملFuzzy Multisets and Their Generalizations
Fuzzymultisets with infinitemembership sequences and their generalization using set-valued memberships are considered. Two metric spaces of the infinite fuzzy multisets are defined in terms of cardinality. One is the completion of fuzzy multisets of finite membership sequences; the other is derived from operations among fuzzy multisets and realvalued multisets. Theoretical properties of these i...
متن کاملReedy Categories and Their Generalizations
We observe that the Reedy model structure on a diagram category can be constructed by iterating an operation of “bigluing” model structures along a pair of functors and a natural transformation. This yields a new explanation of the definition of Reedy categories: they are almost exactly those small categories for which the category of diagrams and its model structure can be constructed by itera...
متن کاملOn Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
Conway and Smith’s book is a wonderful introduction to the normed division algebras: the real numbers (R), the complex numbers (C), the quaternions (H) and the octonions (O). The first two are well-known to every mathematician. In constrast, the quaternions and especially the octonions are sadly neglected, so the authors rightly concentrate on these. They develop these number systems from scrat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1921
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.7.4.109