No, just that understanding tends toward simplicities where it can. When you understand something you understand what you understand about it and don't need to carry around all the data with you. What you understand that you must understand is simpler than not understanding what is critical about a subject. Thus by understanding importances/mechanics of a subject's you can condense the subject to greater simplicity than would otherwise be possible. New understanding which permits simplification is data alignment.
That's not exactly what I mean. If the data is already aligned then there's no further alignment possible. Perhaps this is your question?
However directly to your question, yes, calculus can be understood at the level of simplicity of sums and differences. Integral calculus is understood as a series of sums (area under curves, etc) and differential calculus is concerned with instantaneous rates of change which is difference with respect to time between two adjacent points. Understanding that is data alignment, assuming it's new to you!
You might well be able to summarieze it in 50 pages AFTER you study the 500 page text. But if instead of the 500 page text you were given the 50 page summary as the initial learning, just because the 50 pages has been presented in a data aligned format this does not mean that you are goign to get the same understanding as you will from studying the 500 page text.
And I was not sayign that Calculus could be understood at the level of simplicity of sums and differences. This is what I was saying.
A Calculus student might take 10 minutes to solve a Calculus problem and he might require to use several pieces of paper.
A Calculus professor could be given that same problem and solve it in 10 seconds...
in his head...
in the same manner that the Calculus student can solve an arithmetic problem in his head in 10 seconds.
That is what I am saying.
Rd00
