I use "multi-context-type device" to say there are many "devices", each "device" is related to one type of context, for example "classroom", "office" type of context. I want to differentiate it with "multi-context device", which is related to specific context like "the classroom x by y at z hou...

How often is a mathematical idea you come up with fruitful/correct/possible/etc and how has this changed during the course of your career?

For example, I am confident that very few students majoring in pure mathematics can write a complete proof to Abel–Ruffini theorem (there is no algebraic solution to the general polynomial equations of degree five or higher with arbitrary coefficients) by the time of their graduation. I suspect m...

Nowadays, it's nearly impossible to obtain a university degree in a scientific discipline without completing at least some basic coursework in Calculus, and often times advanced courses are required. Calculus itself was more or less discovered by Newton and Leibniz in the 17th and 18th centuries....