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In addition, if you have the right mental model for something, it is generally easy to work out the algorithmic details on your own when you need them, at least down to a level where you can roll out a working implementation (& it becomes trivial if you can just look up details)
Similar to how, say, you can always reinvent the Pythagorean theorem on the fly if you think about geometry through the lens of vector products, or how you don't need to memorize the quadratic formula if you understand what an equation is and the general process for solving them
I will say a mathematical understanding can be an impediment, one tends to think in terms of the language w/ which we are most familiar, & I believe Einstein started w/ the intuitive, then the mathematics were constructed to support
Each set of petroleum crude has its own refining requirements. A general purpose refining cannot do justice to each type. Isn't this analogy to your prescription of processing data using formulae in situ, suitable, sir?
Some learn from the part to the whole while others learn better from the whole to the part. Some kids learn to read sight words before they know the names and sounds of the letters.
Totally agree. With understanding we can learn math. So if math was needed to understand then our brain would have had an unsolvable deadlock.
Digging out this thread. It all sort of depends on whether you prefer top-down or bottom-up approach to learning.
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