I think your comment illustrates well the problem. It was straightforward for me to understand what jfim said. It took a fair amount of effort to process your comment.
And the generalized (n variables) Taylor's theorem takes more effort to process than its single variable version.
If there was a command line tool for Taylor's theorem,I would prefer the one with generalized interface instead of the one that arbitrarily decided that n=1 was the standard case.
> When great thinkers think about problems, they start to see patterns. They look at the problem of people sending each other word-processor files, and then they look at the problem of people sending each other spreadsheets, and they realize that there’s a general pattern: sending files. That’s one level of abstraction already. Then they go up one more level: people send files, but web browsers also “send” requests for web pages. And when you think about it, calling a method on an object is like sending a message to an object! It’s the same thing again! Those are all sending operations, so our clever thinker invents a new, higher, broader abstraction called messaging, but now it’s getting really vague and nobody really knows what they’re talking about any more. Blah.
