eistein notation (h.1)...2016/06/08 · nth column of matrix a becomes a m n. we can then write the...
TRANSCRIPT
Copyright (c) 2016 Young W. Lim. Permission is granted to copy, distribute and/or modify this document under the terms of theGNU Free Documentation License, Version 1.2 or any later version published by the Free SoftwareFoundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy ofthe license is included in the section entitled "GNU Free Documentation License".
Eistein Notation (H.1)
20160608
A set is a collection of unique elements. The definition of a specific set determines which elements are members of the set. Elements not specifically defined as members of a set are not in the set.
A group is an algebraic system consisting of a set, an identity element, one operation and its inverse operation.
A ring is an algebraic system consisting of a set, an identity element, two operations and the inverse operation of the first operation.
A field is an algebraic system consisting of a set, an identity element for each operation, two operations and their respective inverse operations.
http://www.csee.umbc.edu/portal/help/theory/group_def.shtml