yes, human bodies are variable. Nobody is debating that. But the basic mechanics of HOW never changes (so far). But still not my point. My point is that properly identifying what it is you are trying to learn can help you achieve it faster. There is a reason many (most) of the top athletes and professional sports teams hire kinematics scientists and look to the field of sports sciences to find a way to improve their team/athletes overall performance. This isn't possible unless the terms of the question are properly asked. Take for example the study out of University of Tehran that I mentioned in a previous post. What they were focusing on in that study is broken down into a few parts: 1. what punch has the highest potential of impact force in boxing? 2. Why? 3. How can we train this punch to be the most efficient (deliver highest impact force consistently) for any boxer? In this study they found out the best way(s) to make a hook punch deliver the highest impact force under given circumstances and determined the most effective forms of exercise and training to accomplish such a goal. This doesn't mean it is the most effective always. It does not take into account size of the target vs size of the puncher. It doesn't take into account reaction time or experience or muscle fatigue. It is looking only at how to, in basic terms, hit the hardest. That was the topic of this thread, the mechanics of delivering "power" i.e. hit harder. This is a topic studied extensively in sports sciences but in the case of a punch or strike or kick, power is not the accurate term to define what we are trying to accomplish. I am suggesting, maybe in a poorly worded fashion, that it can be easier to understand the basic principals of hitting harder if you define the terms more accurately to better understand what it means to hit harder, or as put her with more "power". I can accept that power here is a colloquialism and defining it in a literal sense is somewhat pedantic, but if you really want to understand something I would expect that means correctly understanding the definition of the terms used. You don't call a kick a foot strike (maybe you do?) even though it is exactly that because it isn't the correct term in most situations. If teaching someone how to do a basic front kick you don't say "lets practice foot strikes" you say "lets practice kicks" because it is the correct term. So when you say lets explore the "power" of strikes and are implying how to hit harder, the more accurate term is not the colloquial term "power".
Also here is your equation for a person punching (image because not all text format is supported here)
Fully agree.
Our son does data analytics for pro and college teams. Primarily in the evaluation of talent (ability). He has built some impressive models and the depth and breadth of what they capture is amazing to me.
Determining the measurables and figuring out how they can tie together and how to weight them has been an evolving process for him.
When we talk about it, where I am totally out of my element, he is very matter of fact that his job is to capture and coalesce data. Not what is done with the data, which you mentioned. He really gets the distribution (of labor) properties very well.
He has said before that he sees his data mining becoming an established process at some point; where a coach/trainer can take the model and check the boxes an athlete does or does not meeet, determine a score and cull or continue to the next process with that athlete.
This is essentially where the intangibles begin. As you said, two identical people can do a punch or kick or pass a football the same way (in essence) but have completely different results. His models go pretty far in to factoring this into account but, man oh man, does it take a lot of code and conditioning of the results. For example, in your equation, capturing the variables, deciding how to use them, and deciding how much affect each one has is difficult; especially when you are trying to factor out subjectivity.
Bringing this back to MA's, I cannot count how many times I have pondered this when watching people do forms. You can watch them do individual moves with proficiency but when consolidated into a form they can just look wrong. However, identifying the 'why' is very tough sometimes.
Sometimes this can translate to their sparring ability. While harder to translate the mechanical deficits, it can be easier to identify mental quirks or deficiencies. But factoring these elements out is much more difficult most often.
It is a very deep well.