How are complex mathematical equations “invented”? As in, how do you come up with the formulas and know definitively the answers to them are correct?
In: Mathematics
Depends on what your goal is. If it’s math research (“pure math”), then it’s one step at a time. You start with things already known to be true, and slowly transform them until you get something brand new.
If your goal is predicting or modeling a part of the physical world, you’re comparing the math to real world data, then tweaking it based on the errors you observe.
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