Graphs and dimensions

This is from a program called graphthing which is available from the debian repositories. The specific graph is bipartite and is one that I wanted to analyze as it cannot be represented in 2d without a line crossing and I had satisfied my curiosity in my imagination , but I wanted to be sure that it was the same in simulation.

I discovered an interesting way of looking at things that involves sets and the character of sets.

The drawing left was done with Inkscape and took about 2 minutes. It represents a circuit to be modelled as an example using a matrix.

When used with E=IR it can be solved. That equation is a resolution of Maxwell's equations to an approximation of effect. It also combines the efforts of Gauss. I wonder if he knew that there is a magnetic field constant with that same name. Quite a coincidence.

AA
AB
BA
BB

This sequence above represents 2² as combinations and not dimensions. Also I am studying graphs with matrix manipulation and there is a correlation, as there is with transforms. The combinations of possibilities is A^P and so it is obvious that if you reassign as sets or lists that certain properties are exposed. It has something to do with Lie ( pronounced LEE, if you are English ) groups, and that is a person's name.

It does help to know these methods in the same way that knowing all aspects of the tools and plug-ins of gimp allows them to be recombined to create a new result or replicate the methods that another applies.

I am re-doing matrix math this year again and though I can use it, every time I go over it, I see a new relationship with another field or program. It is a rerun with the purpose of making the connection from A to B that could not be made where B did not yet exist. It is a lot easier as the concepts are so familiar now. Terminology can be like learning another language. It gives pause when operators are overloaded. Ax=b and U, L, NULL, S, I, I^-, T, .... It is all vectors and matrices so the letters mean various things as shorthand, like Singular, Upper-triangle, Identity ...

I could mean Identity and that can give a person pause until the context is resolved. Oh well, "je ne sais pas". Is that like IDK , which would be JNSP in French? Of course this whole thing can be interpreted in two ways.