I'm currently writing a scientific report and repeatedly found myself sneaking sentences like "with the aim of..." or "with the purpose of" in my text. Despite how trivial this problem may seem, it isn’t.
The scientific process is repetitive in essence. We customarily do things with a purpose in mind: we apply methodology X with the aim of calculating Y or use theorem P with the purpose of solving Q, and that kind of mindset easily surfaces in our manuscripts. Also, given that our writing must convey rigour, certain constructions like "with the hope of" or "wishing" are proscribed and the abuse of passive is considered a burden put upon the readability of text that are already complex in itself. In summary, it isn't strange to run out of ideas on how to say why one did X, Y and Z...
So, I would like to ask, are there good formulas and sentence structures to express purpose and at the same time convey a sense of exactness without using too many "with the aim of" (or its derivatives) or too much passive?