24 karma · joined June 16, 2015
More seriously, it's about doing the impossible. Formally, some functions are nondifferentiable, period. But it would be cool if we could actually "more or less" differentiate them. For that we'll necessarily need a bag of tricks which is now coalescing into "techniques" and "principles".
Cf. numerical analysis. It takes a page or two to set up your definitions and show that many functions are badly conditioned, period. And yet we still want to compute them, so we've been building the bag of tricks for almost a century now.
That’s how most subfields are born. Assorted papers -> monograph -> textbook. The first arrow is defining the subfield as a discrete topic, which is immensely valuable. Only after you have that you can start optimizing for presentation to nonexperts.
Some evidence:
1) Japan has a higher percentage of iPhone users (65.88%) compared to USA (56.74%), while being poorer than USA on most metrics (GDP, median income, PPP-adjusted income etc.)
2) I don't have quantitative data, but just from experience Japan has so many more high-fashion stores, expensive pastry bakeries, expensive candy makers etc, when compared to USA. And if the stores are there, the customers must exist too.
(Expanding: people who know the details hate him anyway, and it’s better for people who don’t know the details to hear confusing accusations from both sides than an admission of guilt. Admissions of guilt are very rarely unilaterally effective.)