I'm interested in if anyone here knows any general principles of how mathematical equations are developed, and turned into something useful? For example, Newton's equations were extremely useful for Physics. The same is true about many equations in other disciplines. Any helpful information here? As far as where I'm coming from, do scientists just personally watch what they want to study and try to visualize equations in their minds, or do they more take segments of equations that already exist and combine them together? What's the most effective method? I was thinking it would be way cool to develop some equations to predict people? Especially individuals would be nice. This could be used for "technology" and to make the world a better place from that segment! Sounds useful! As many here probably know, in the experimental-control section of social sciences, they mostly only use null hypothesis testing or bayesian statistics, but I don't see too much falsifying equations designed specifically to predict. They of course make general explanations/observable principles to make predictions, but not equations to do so. Then outside of the experimental-control section, they mostly use statistics just to describe, but of course as I said not much as far as using to predict. So maybe they can have much more of that in the social sciences? Although maybe not as precise as physics, maybe instead equations that give a general confidence interval after being given several variables. Having a statistics minor I know that they sometimes use "Multivariate Statistics" in the social sciences, although I think it's more for groups than individuals. It's kind of like the Y predicting the X in algebra, but instead you have many many independent Y variable predicting a dependent X variable. Maybe if I track down my R computer programming they use, plus my notes, and then look at peer-review studies and their results sections, maybe I can brainstorm human mathematical equations that we could make falsifiable? Now I'm excited! Although it will most definitely not be apple pie Need input! Who has information on mathematics and what determines if an equation in Science becomes useful? How do they generally evolve to become that way? Do scientists observe and brainstorm, or look at existing equations and play around until they get what they want, a combination of both, or what goes on?