Recent content by sythrox

How can any textbook justify something like this then? I've seen it like this and other similar forms in other books. It seems like it doesn't matter what "T" here is as long as A and B are tensors and that A is invariant under coordinate transformations.

Could you elaborate? Is my understanding of the quotient rule wrong? If we have ##C^{ab}A_a## with arbitrary tensor ##A_a## and this product transforms like a tensor under a change of coordinate basis then ##C^{ab}## is a tensor. Is that correct? It should also be pointed out that I am using...

Well I was in the process of clarifying what I meant by the symbol string '(C^ab)(A_a)(B_b)'.

Ahh, thank you for the answer. Two in fact. I did not know you can just LaTeX directly into this forum. $$C^{ab}$$ was left unknown to conclude through the quotient rule that it is indeed a tensor. The way I understood the quotient rule, as stated from multiple sources, is that we can...

I am trying to show that if (C^ab)(A_a)(B_b) is a scalar for arbitrary vectors A_a and B_b then C^ab is a tensor. I want to take the product of the two vectors then use the quotient rule to show that C^ab must then be a tensor. This lead to the question of whether or a not the product of two...

Okay. I was unsure weather to include that last bit. Disregard. But I'm confused why the uncertainty principle puts no constraint on how accurately you can measure something. What if were talking only about a single electron?

Hi all. In my physics class I have to give a 15 minute blackboard lecture on a topic in modern physics. I chose the uncertainty principle because I feel there is a tendency (at least at the undergrad level) to just accept what it is without proof or intuition. I would like to go into greater...

Proof Laden Semester -- Should I? Hello all, I am trying decide whether or not I should take an intro to proof writing, linear algebra, and an advanced INTRO physics course of which I'm told the latter two have an appreciable emphasis on proofs (at least where I'm at). For someone who...