Homework Statement
Prove that if a∈F (where F represents ℝ or ℂ), v∈V (where V is a vector space) and av = 0, then a= 0 or v = 0.
Homework Equations
The axioms for a vector space may be relevant.
The Attempt at a Solution
Case 1 (v = 0):
Suppose that a∈F, v∈V, and av = 0.
Also, let u∈F...
Hello,
This isn't a homework question, just a curious question. I've been working on problems involving Ampere's Law and slabs of current density J.
I've drawn a diagram to illustrate my question:
http://www.freeimagehosting.net/t748n
Here, two infinite slabs of current are placed one on top...
I'm not nearly as good at laboratory work as I'd like to be. I'm therefore searching for a book (or books) that describe, at an introductory level, the following topics:
- Methods of using computer code to interface with hardware (e.g. using GPIB/IEEE addresses to extract information from...
Thanks for the reply. This is for my quantum mechanics course, and the equation I set up relates to solving the time-independent Schrodinger equation for the harmonic oscillator in momentum-space. My textbook solved a similar DE using Hermite polynomials, but I was hoping there was a simpler...
Homework Statement
\frac{d^2\phi(\eta)}{d\eta^2} = (\eta^2 - K) \phi(\eta)
Where K is essentially a constant, K = 2n + 1 (n is an integer).
The Attempt at a Solution
I don't even know where to begin since \phi is a function of \eta. A push in the right direction would be much...
Oh! Thank you! You're a genius, haha. Maybe I was on summer vacation too long.
Ok so, now I have:
\frac{dt}{T} = \frac{dx}{-T \omega} \frac{1}{\sqrt{A^2 - x^2}}
Does the -T \omega somehow turn into pi? I know omega is 2pi/T, but that leaves a "2" and a negative sign...
Homework Statement
A particle of mass m is attached to a spring with a spring constant k. The particle is moved a horizontal distance A from the equilibrium point and released from rest. We follow the motion for half a period, that is x \in [-A, A] .
Show that if we take snapshots of the...
So I was watching the Sun set the other night, and I noticed that the Sun appeared to accelerate into the horizon. If the Earth rotates at a constant angular speed, how could this be? I was thinking about swinging a ball on a string vertically, and how the ball would have different points of...
That makes sense, thank you.
I have another question in regard to the uncertainty principle.
3. My book states "Because the width of a diffraction pattern, related to \Delta p_x, is inversely proportional to the slit width, related to \Delta x, the uncertainties are inversely proportional...
Thank you both for the replies.
If the momentum were zero, there would be zero uncertainty in the object's momentum, which would make the uncertainty in the object's position infinitely large. But I'm not sure what physical concept that reveals... Does it mean that the object is equally...
I'm preparing for an upcoming course in QM by working out of a textbook, and I've encountered a handful of conceptual questions that I'm having trouble answering. I figured it best to ask my questions in a single thread, so as not to clutter the subforum. Also, I chose the general physics...
I got on the avg anti-virus site, and they have some free disinfecting tools, which cleaned a few things up. But it's looking like I'll have to reinstall everything nonetheless. I'll create separate accounts in the future, thanks for the advice.
So here's the situation:
A few months ago, my dad decided to try a free internet security trial from Trend Micro. It simply involves downloading updates about once a day, and a routine scan for potential viruses. Everything was fine for the first few months, but just today it reported that...