Index Notation in Mathematics and Modeling Language LPL: Theory and Exercises

Tony Hürlimann

November 12, 2023


This paper explains indexing notation in mathematics and its implementation in the modeling language LPL. Indexing is one of the most fundamental concept in mathematical notation. It is extremely powerful and allows the modeler to concisely formulate large and complex mathematical model. A certain number of exercises are given and implemented in LPL, so the reader can test the concepts.

In my experience, many students fail to create – or even read – mathematical models, because they didn’t learn correctly how to use indexing notation. It is not particularly difficult and it can be learnt easily. Unfortunately, in most mathematical modeling textbook this is badly neglected. Hopefully, this paper can remedy deficit.