Mechanics

I have taken physical and natural science, the study of the natural world around us, as the most basic component of human knowledge. With my recent decision to focus on the simpler end rather than historical end comes a decision to focus most particularly on physics, and within physics, on mechanics, and specifically particle mechanics. The first thing to I want to do is to concentrate on the mathematical description of time and space. I don’t have any deep philosophical insight into the description of time: I just use a number of time units from an arbitrary beginning, which will depend on the context of the problem. As I develop more applications, this will become a more complex topic. As far as space, I am using three types: Linear, or one-dimensional space; planar or two dimensional space; and three dimensional space. There are more complex variants of these, but I will also defer this for a later time. Although time and space are considered mathematically continuous, I can only represent them approximately. For beginning applications, a small number of divisions will be sufficient.
The next task is to describe particle motion. I consider a particle to consider a mass point, which is an idealization and is only represented approximately. Motion is the association of positions in space with instants of time, and there are various types and cases of motion. I am still working on my programming skills to represent these in a computer program, but I am getting close.

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