A Layman's Mathematical Ideas

This is my first real idea. Here we go. Take the image of a circle. Its motion through space should be fairly constant. When you look at it, you see that it is a circle. Or, take any image. It doesn't matter. Then make it conceptually blurry. Not physically blurry. You can see the image, and it looks the same, but the way it is processed by mathematical functions changes according to some rule set. In this example, the points on the image are physically next to each other like in the original object, but not mathematically next to each other. For example, in the original image, a red pixel will be next to a yellow pixel. But, if you look at them mathematically, they will be many units apart. They have causal linkage but not direct linkage. After randomizing the mathematical location of each pixel in the image without changing its relationship to itself, you can create another graph with the pixels at their mathematical location but not their physical location. Then you can ...

I do not have very much formal math training. I pretty much failed calculus, though I did okay my second time through (after dropping out the first time.) However, I want to do math. I like math. I have some mathematical ideas that I think might be novel, but I can't describe because I lack the terminology. This blog is going to be dedicated to an explanation of the mathematical ideas that I want to communicate and yet can't because I don't know the language. Some of them may be obvious to someone with any sort of education in mathematics. Some of them might not. I am going to try and explain how my ideas work with as much detail as possible. At some points I will try to solve Putnam problems, which are well-documented and powerfully written problems that undergraduates compete to solve. At other times I will just spit out ideas that I think might be cool. I have almost no mathematical vocabulary. I am no good at math, mostly because it's too small, complicated, a...