ALine Posted August 28, 2020 Author Share Posted August 28, 2020 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. Link to comment Share on other sites More sharing options...
joigus Posted August 28, 2020 Share Posted August 28, 2020 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. Link to comment Share on other sites More sharing options...
ALine Posted August 28, 2020 Author Share Posted August 28, 2020 (edited) 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, 2020 by ALine added some words Link to comment Share on other sites More sharing options...
joigus Posted August 28, 2020 Share Posted August 28, 2020 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. Link to comment Share on other sites More sharing options...
ALine Posted January 13, 2022 Author Share Posted January 13, 2022 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. Link to comment Share on other sites More sharing options...
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