The above description is somewhat restrictive. A more flexible definition of a list vector is the following. Let be a finite list of indices11Distinct index sets are often used when working with multiple frames of reference., is one such possibility, and let denote the set of all mappings from to . A list vector, an element of , is just such a mapping. Conventionally, superscripts are used to denote the values of a list vector, i.e. for and , we write instead of .
We add and scale list vectors point-wise, i.e. for and , we define and , respectively by
Row vectors are usually taken to represents linear forms on . In other words, row vectors are elements of the dual space . The components of a row vector are customarily written with subscripts, rather than superscripts. Thus, we express a row vector as
|Date of creation||2013-03-22 12:51:50|
|Last modified on||2013-03-22 12:51:50|
|Last modified by||rmilson (146)|