
On Thu, 11 Oct 2001, Enea Zaffanella wrote:
Pat,
you are right, the notation is currently not consistent. For vectors, usual notations are either bold-face letters or the use of an overline (something like the LaTeX command \vec). I would prefer the first one ... but this is just my taste. We are currently investigating whether or not it is possible to have a convenient use of macros, to help confining all these notation changes in a single place (here the problem is that this mechanism should work independently of the form of the final output and the way it is obtained ... html, pdf, doxygen ...)
That is why I suggest a different letter for the components of the vector x (and y), that is simple and unambiguous - the only problem is what letters to use. As b and d are already used for vectors, so that the obvious "a_i" and "b_i" are no better than "x_i" and "y_i", I suggested lambda_i and mu_i. At least these are already used for real numbers, so this is consistent. Other options are "u_i" and "v_i".
ciao, Pat
There are a few small things I would like to check with you before changing the files.
I notice a rather mixed notation for vectors. In most of the definitions x, x_1,... are elements of \mathbb{R}^n or similar. However,
- in the definition of the combinations, we use p_1,...,p_k
I think we should use x_1,...,x_k as in the rest of the user documentation.
- in the definition of scalar product, x_1,...,x_n are the
components of the vector x and, therefore elements of \mathhbb{R}. This is inconsistent with the rest of the paper.
I am trying to choose another letter for x_1,...,x_n and y_1,...,y_n for this definition. Note that b and c are already used for vectors. One possibility is to use \lambda_1,...,\lambda_n and \mu_1,...,\mu_n since \lambda is already used in the definition of the different combinations as elements of \mathbb{R} - and also in Minkowski's theorem.
ciao, Pat
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