@XanderHenderson There's some truth to that, when reading about the history there was a strong push to have everyone share their models open source. There are HUGE repositories for this. At present, I'm still learning how to print things correctly as there are 50 million settings to calibrate and tweak. Its a whole other world learning how to use the design software, but I intend to get to it :)
for DIY I meant there are schematics available for building your own 3d printer that can be done cheaply. All the software is open source as well
@user21820 Here is a challenge question that may interest you: Can you tell me why the term electromagnetic force is used as a fundamental force and not broken up into the electric and magnetic forces
@DavidReed: From a modern physics perspective, Lorentz invariance shows that the two can be just different perspectives from different reference frames.
Not different perspectives so much as they are the exact same force, what will look like a magnetic field in one reference frame will look exactly like an electric field in another reference frame, but they both observe the exact same outcome in the experiment and so the exact same forces are acting on them. That is, there is just one force, and its behavior varies based on your relative motion to the experimental frame.
I was going to bring that up the other night when we were talking about charge and then realized it was not really relevant to the topic and would only confuse things
I suppose yes, if you had added "different perspectives of the same thing". The statement wasn't super concrete. I wasn't entirely certain what you were trying to say there so I went ahead and said it my way in case what you were saying was different.
So please don't read into that as me disagreeing or correcting you
In short, one person says its the electric force causing this to happen and the other says, No its the magnetic force that's doing this, so they really are the same force.
@DavidReed Yes. there's also the interesting question of whether there is a distinguished reference frame or not. There's no mathematical problem with having one, since it's no different from a (conservative) definitional expansion by adding a constant-symbol. I believe there is a philosophical argument that can be made for a distinguished reference frame (and the corresponding theory would not be conservative). But I don't really want to go there right now. =)
@user21820 Relativistically the distinguished frame tends to be the "proper time" frame, in which the object is not moving. The momentum of an object for instance is measured in terms of the time elapsed from the objects point of view
In the text "Function Theory of One Complex Variable Third Edition" by Robert E.Greene and Steven G.Krantz i'm having trouble with finding a way to improve the estimate in $(1)$ may I have a hint to achieve this ?,and also with verifying my proofs of $(1)$ and $(2)$ are valid. Much of my work ca...