# Notations for integer in thesis

I am creating a list of notations for my thesis and I have difficulties trying to avoid overlapping notations. The main problem comes from indexes notations, for example:

• e_{i}, e_{j} with i,j = 1,2,3 when j is already the current density
• d_{lambda,mu} where lambda is already the wavelength

Can I leave these overlaps or not? Would there be a way to mark them as integers without over-complicatiing the notations? Should I include these integers in the table of notations?

EDIT

The document Quantities, Units and Symbols in Physical Chemistry from the IUPAC seems to write the notations with the indexes included without describing the indexes themselves (see page 57, resistivity and conductivity tensors).

• Have you looked at some standard advanced level physics texts to see how this is handled? – Dave L Renfro May 9 at 14:58
• I just looked several physics texts and most of them do not have a table of notations. One of them lists "Symbols with the same meaning in all chapters (unless the text makes clear an alternative meaning)" but there are no indexes in the list. – JuCa May 9 at 15:27
• If you use LaTeX, you should use macros which will permit you to play around with index notation. In physics, you can distinguish a j as index from a j as vectorial quantity by boldfacing or choosing some other font. – Captain Emacs May 9 at 15:44
• @CaptainEmacs The bolfacing for vectors is already done. I started with more than 250 notations, that is where the overlaps come from... The main question is whether or not indexes are a notation of their own. – JuCa May 9 at 15:48
• Unfortunately, not in physics. In math, every theorem/example/definition have their own "variable declaration", not so in physics. You can add an explanation that indices are treated separately - but there is a reason why Misner et al.'s famous Gravitation book uses a larger number (7?) of fonts. – Captain Emacs May 9 at 15:52