We write mathematical equations in a linear format. AB^(C)+D = E etc.
The issue of course is that, B^(C)A+D is not necessarily E if A, B and C are non commutative.
Also. given A, B and operator O are Matrices,
One may decide to operate O on the left of AB, ie O(AB) or on the right (AB)O, which again, non commutivity means these not necessarily be equal.
How i see it is that it seems to be an inherent problem with writing equations in a 1D format. is there a possibility in the future that we have equations that live on 2D or higher?
The issue of course is that, B^(C)A+D is not necessarily E if A, B and C are non commutative.
Also. given A, B and operator O are Matrices,
One may decide to operate O on the left of AB, ie O(AB) or on the right (AB)O, which again, non commutivity means these not necessarily be equal.
How i see it is that it seems to be an inherent problem with writing equations in a 1D format. is there a possibility in the future that we have equations that live on 2D or higher?
