[sanderjd]

Yep!

> However mathematical interfaces are less user friendly and less intuitive, especially for someone not familiar with mathematical interfaces.

Actually I think it's less useful for people who are very familiar with the mathematical techniques as well.

Pure math also specializes things by domain. Certainly experienced mathematicians are capable of seeing the generalism underneath the specialization and are able to re-derive it, but to make progress they mostly don't do that, they build on top of the specific "interface".