In words, it's because you apply a force "on" the COM ie. linear acceleration, but a the same time, you apply a torque about the COM ie. rotational acceleration (unless the force is applied directly on the COM, then it's just linear).
The set of set of test functions is a vector space. The reals are are also a vector space. Use that for linearity.
Test functions are smooth, use that for continuity.
If you've never took an Analysis class, I STRONGLY recommends against taking a course on Integration. At my school, this class is the last of of the undergrad 4 classes Analysis sequence, which means it requires a lot of Analysis background and mathematical maturity ie. definitely not something...
Basically, the first law state that energy is conserved and the second law state that there exists a "potential function for work" ie. d(work)/temperature is an exact differential. That's a dumb guy explanation of the 1st and 2nd law...that might help.
The way I understand it, those laws are...
A friend of mine once said : "Introductory QM is just Fourier analysis vomiting on a page." It's funny so I thought I'd share... In other words : study some Fourier stuff!
Yeah, that's what I thought, but then the set is not convex...funny thing is, the next question is to show that the set with u(a)=1 is also open, convex and dense...which it is not. Oh well.
"Applied Functional Analysis" by Zeidler
In my book, "Applied Functional Analysis" by Zeidler, there's a question in the first chapter which, unless I got my concept of density wrong, I can't seem to see true : Let X=C[a,b] be the space of continuous functions on [a,b] with maximum norm. Then...
Has Cepheid said, the ground, in theoretical circuits (it might not be true in real life, but you should't bother about this now!), is where you put the voltage to zero (i.e. since you only want voltage difference, it's a specified point where V=0).
Hi everyone,
I'm a Physics student and I'm planning to go to grad school in theoretical physics (I'm still in my first year so things may change but oh well) My question is twofold:
1. Any good book on Lie group and its application to physics, for someone with no formal course in group...
I'm currently in the Honours Physics program at Mcgill, but 3 of my best best friends are at the school you just mentioned (two are at UoT and one is at Waterloo). We talk several times a week, either by phone or by mails. From what I get from them, the education is pretty much the same. I seems...
Fact is, your teacher really don't believe you will remember all these formulas. They want you to know about them enought so that when you'll encounter a problem using them, you'll remember that you have seen them before and know where to find them (book, internet and such). Most of the time...
That's what I thought, thanks! I haven't touched the formal definition of differentiability, but in Calculus I learned that a function was differentiable on [a,b] iff its derivative exists on [a,b]. So the condition stated above is enough to show differentiability on [a,b] and thus, continuity...