In grad school I had a prof who always said "the way to think about it is ... " when introducing new concepts, like "the way to think about a convolution is ... ." Nice to bring abstract concepts down to intuitive thinking.
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Replying to @mathematicsprof
I like viewing convolutions as running averages. F is the function being averaged. G tells how much to weight the values entering the avg
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Replying to @stevenstrogatz
Someone should write a book called The Way to Think About It where many great mathematicians describe 'the way to think about' various abstract concepts.
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Replying to @stevenstrogatz @mathematicsprof
Some of @3Blue1Brown's videos have this flavour. E.g., this video could almost be entitled "How to think about algebraic topology":https://www.youtube.com/watch?v=AmgkSdhK4K8 …
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