Usually, the formulas I derive on paper end up quite complicated and can not be simplified away. When I am numerically implementing the formula, I want that it

Usually, the formulas I derive on paper end up quite complicated and can not be simplified away. When I am numerically implementing the formula, I want that it matches closely what I wrote in the paper, and long variable names would make my code less clear mathematically. Why would I use the variable name "probability_distribution_on_m" instead of "rho_m", when I know all along what rho_m means in the contexte of my code (the symbol use throughout the paper). Usually, I comment at the beginning and specify what the variables mean and to what they correspond in the paper. And if somebody needs to read my code, that person will need to understand the paper first. More descriptive variable names won't make the person understand the paper better. Of course, when I am writing some non-scientific software, I will use descriptive variable names, because there is no complicated formula, no paper that sets the context of the code, and it makes sense in general to have descriptive variables for logic elements for a clear code.