Just to clarify a few points:
Only the perpendicular component is relevant in ALL cases (the part that goes through the loop of area A). The component tangential to the loop isn't passing through the loop. That's why there is cos x in your flux equation. So the reason section B is flat is...
Thank you very much. So my argument fails in several categories. It fails by over stating the implications of Noether's theorem, the mistake in saying that everything can be described by energy conserving Lagrangians, and by the lack of determinism in quantum mechanics.
And yes, there are...
Here are a list of questions related to my arguments. Maybe this can help me figure out where I am going wrong:
1) Is determinism synonymous with free will? Does free will mean there isn't a single cause for some event?
2) Are the laws of physics invariant over time? There is of course the...
Ok, this is my train of thought:
1. We observe the universe to have constant energy and thus energy is conserved.
2. Emmy Noether proved that if the Lagrangian admits some quantity as being constant, then there is a corresponding conservation law. The inverse holds true too, to my...
Thanks for the reply. I took your suggestion and reposted it in the philosopher's forum... but it was locked for not citing references, heh. Here is my post there replicated:
And to address you comments specifically:
If the total energy of the universe is invariant, then the laws of...
Hey all,
Since first learning about Emmy Noether's proof that time invariant laws of physics imply conservation of energy, I can't shake the idea that this is the argument against the notion of free will. Here is my argument:
By Noether's first theorem, whenever the laws are invariant in...
It's a question I've been lingering on to for some years now. If the laws of physics are invariant in time, then energy is conserved through time. Shouldn't that imply there is no free-will; there is no room in the laws of physics for energy to be shifted around inside each one of our brains as...
I'm in the electrical engineering PhD program (in the very early stages) at georgia tech right now. I often feel like I want to go into pure math, but I kind of keep chugging along the engineering track. I have a lot of credit available to take electives and I'm putting them towards mathematics...
They span the same space, but the original question is asking about the basis of the column space. RREF is pointing out which are the important and which are the redundant vectors.