Is Joon-Hwi Kim's idea of graphical notation for vector calc any good?

[swampwiz]

Here is his paper. I don't see what the big deal about it is.

https://arxiv.org/pdf/1911.00892.pdf

 

[jedishrfu]

I think its pretty novel and unique. Sometimes graphical notation can tease out some key insight that can be seen in algebraic notation. In this case, we'' just have to see what follow-on papers come out in support of it.

Consider how use Venn diagramming has become. It has its limits but is a great way to represent set relationships and mathematicians have extended the notation beyond the 2D representations we are taught.

https://en.wikipedia.org/wiki/Venn_diagram
One other such example while not graphical in nature is vector operations vs differential forms operations. GR folks utilize differential forms notation over tensor notation until it's time to do an actual numerical computation where the indices are needed to unpack the DF result into simpler expressions that are integrable or differentiable.

Also you need to understand the reason it was developed. In programming for example, Symonyi variable naming notation was quite popular in Windows programming as it carried the meaning of a variable in it name so you didn't have to keep returning to the declaration to figure out what operations would work on it. It also grouped variable by a common suffix.

Symonyi notation was developed because programmers didn't yet have the IDE (integrated development environment) tools that would understand programming context and variable usage.

https://en.wikipedia.org/wiki/Hungarian_notation