>>24
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(7) Microscopic: The derivative of a function is the limit of what you get by looking at it under a microscope of higher and higher power.

https://rio2016.5ch.net/test/read.cgi/math/1592578498/713-714
This is a list of different ways of thinking about or conceiving of the derivative,
rather than a list of different logical definitions. Unless great efforts are made to
maintain the tone and flavor of the original human insights, the differences start
to evaporate as soon as the mental concepts are translated into precise, formal and
explicit definitions.
I can remember absorbing each of these concepts as something new and interesting, and spending a good deal of mental time and effort digesting and practicing
with each, reconciling it with the others. I also remember coming back to revisit
these different concepts later with added meaning and understanding.
(引用終り)

>WILLIAM P. THURSTON ｗｗｗ（＾＾

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