How exactly does a physical scientist or mathematician go about modeling the way that a phenomena works or appears to work. For example, how do I know when it's appropriate to introduce something like --> ∂ or even the integral instead of something else?(adsbygoogle = window.adsbygoogle || []).push({});

Alternatively, maybe I'm asking, at what point does 'theoretical' become 'practical', but fundamentally, what happens before I can model out a mere thought as theoretical?

Most valuably, once I do understand this process, how do I go about having a mindset to be able to map out the things that I think about, mathematically?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# When to use mathematics and its operators ?

**Physics Forums | Science Articles, Homework Help, Discussion**