I think there are main reasons why computer code often have verbose names for functions and variables is that there is a great variance (1) in the application d

I think there are main reasons why computer code often have verbose names for functions and variables is that there is a great variance (1) in the application domain of code and (2) the knowledge and background of people who might read and work with your code, making it difficult to assume anything about them. Compare this with the condensed and cryptic music or math notation: they are very inaccessible to readers without many years of training. But that all training, that common understanding, is usually assumed of the reader.