I’ve been asked what is the standard notation for vectors. I normally use loose notation, unless I need to write or review a formal piece, in which case I follow the APS style. See also here.
A vector should be represented by a letter, in boldface or with a right arrow on top.
A caret should be used to indicate a unit vector.
An inner product should be indicated by placing a dot between two letters representing vectors.
Note that Dirac Notation is a different animal.
The APS Style Guide has additional guidelines.
This is great thanks a lot, I am working with opinion mining and nlp, and I always have trouble with matrix and vectors because I do not have a strong mathematical background regarding that. One question I am going to ask, it might be a little stupid but here it goes, how do you handle the notation of a sparse matrix while you do the operation that smooth the terms for example, the svd one.
Different authors use different notations for sparse matrices. Most prefer to use the APS notation for matrices and then specify in the text the type of matrix used.