A personal favorite example of notation improving my ability to think is Named Tensor Notation, which has gotten some attention in the machine learning communit

A personal favorite example of notation improving my ability to think is Named Tensor Notation, which has gotten some attention in the machine learning community. https://namedtensor.github.io/ https://namedtensor.github.io/ Some diehard mathematicians have said it's a crime against linear algebra, but I think it's much more useful for talking about things like neural networks than conventional notation.