ok, so I am taking discrete mathematics this semester and I have no idea what is going on. So imma get to understanding that first before even attempting this project that I have been procrastinating on.

On 7/13/2020 at 5:20 AM, ALine said:

And what is symmetry from a mathematicians perspective?

Quote

Weyl's definition of symmetry: “a thing is symmetrical if one can subject it to a certain operation and it appears exactly the same after the operation.

 

interesting, so for clarity and learning sake say if I have a 0 and I multiplied it by a 1 would the 0 be considered symmetrical? Because I started with a 0 and ended up with a 0?

Edited August 28, 20205 yr by ALine
added some words

Well, the identity is not considered to be an interesting symmetry transformation, because everything is symmetric under it. It does play a role in the theories that involve symmetry (mostly in group theory as far as I know).

Example:

Consider three numbers, i, j, k. And a function alpha:

\[\alpha\left(i,j,k\right)=ij+jk+ki\]

And the transformation,

\[\pi\left(i\right)=j\]

\[\pi\left(j\right)=k\]

\[\pi\left(k\right)=i\]

Then we say alpha is symmetric under pi.

 

So it's been a minute and I was reminded of this by a fellow forum member reposting about it. How much progress have I made you might ask? Literally none, This problem is a fuuuuuuuuuuuudge ton more difficult than I originally imagined. I am going to keep try, but its gonna be a while.