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1. Programs Physics and Neuroscience degree?

Wow thank you so much for your response. I really appreciate the time you put into helping me!
2. Programs Physics and Neuroscience degree?

Thank you for your informative response. Would you be able to expand on what you said above a little bit? I would really appreciate that!
3. Temperature and Movement

Hey guys, I have been wondering about this for a long time, and I can't seem to reach a solid conclusion. If temperature of an object is related to the movement of its atoms, then is it true to say that a moving object have a higher temperature?
4. Programs Physics and Neuroscience degree?

Hello! I am currently in grade 12. I really like neuroscience and physics (more towards physics) and would like to pursue them in university. Would it be a good idea to do a physics and neuroscience double major or something? I'm thinking of really trying to combine the two, so that I do physics...
5. A problem on the Image Space

Thanks a lot!! I really appreciate it :)
6. A problem on the Image Space

I believe I understand it! Could you please check if I've got it right? Assume y ∈ im A then y = Ax = (AVV-1)x y = AV(V-1x) since V-1x ∈ Rn, then y ∈ im(AV) and im(A) ⊆ im(AV) Assume y ∈ im AV then y = AVx = A(Vx) since Vx ∈ Rn, then y ∈ im(A) and im(AV) ⊆ im(A) Therefore im(A) = im(AV).
7. A problem on the Image Space

If A is mxn and y ∈ im(A), then y can be written as Ax, where x ∈ Rn. If y ∈ im(AV) then y can be written as (AV)x, where x ∈ Rn.
8. A problem on the Image Space

Homework Statement [/B] If A is an mxn matrix, show that for each invertible nxn matrix V, im(A) = im(AV) Homework Equations none The Attempt at a Solution I know that im(A) can also be written as the span of columns of A. I also know that AV = [Av1 Av2 ... Avn] so im(AV) is the span of...
9. A rocket problem

That's not what I originally meant. What you're saying is that the speed of the satellite is too low to stay at orbit at R, and because of that a rocket pointing away from Earth exerts an outward radial force on the satellite to keep it in orbit. What I meant is the exact opposite. The...
10. A rocket problem

Sorry I may have used the wrong wording. What I meant is that the satellite cannot orbit the earth in a circular trajectory with that V and R, and because of that a rocket it helping it stay in an orbit by exerting a force directed towards the centre of the Earth. So the satellite is not...
11. A rocket problem

Oh alright. Thanks a lot!
12. A rocket problem

So you're saying that the rocket does no work on the satellite, but does work on the fuel by accelerating it?
13. A rocket problem

But the reaction force of that keeps the satellite in orbit, right?
14. A rocket problem

Assume that a satellite(mass m) is orbiting the Earth(mass M) at radius R and speed V (the orbit is circular). The satellite is in a position such that the force of gravity exerted on it by the planet is not enough to keep it in orbit. Therefore, the satellite has an engine, which always points...
15. How to Find the Basis of an Image

Thanks a lot! Is this method the same as the methods mentioned by the other members? I fail to see a similarity. If this is a different method, how many ways of finding an the basis of an image are there in total?
16. How to Find the Basis of an Image

Oh!! I get it now! You're explanation actually cleared things up. And the book helped as well. Thanks a lot for your help!! :D
17. How to Find the Basis of an Image

I've been reading a book on linear algebra. It talks about finding the the basis of kernel and image of a linear transformation. I understand how to find the basis of the kernel, but I don't understand how to find the basis of the image. Could someone please explain a method of doing it? Thank you!

19. Engineering Engineering Physics

Is engineering physics a good field? I've heard a lot that they find it hard to find jobs because engineers think of them as physicists and physicists think of them as engineers. How is the job market? What does an engineering physicist actually do?
20. How is Research?

Thanks a lot guys. It helped so much :D
21. How is Research?

Yes that is true. It is a long and tedious process. And I'm assuming that with the knowledge of physics that we currently have, it is very unlikely to publish some paper that will "revolutionize" science. Research right now is more about building on ideas and improving them in my opinion.
22. How is Research?

I don't quite understand what you mean. Could you please elaborate?
23. How is Research?

I'm a high school student and I've been an intern at a university for a couple of weeks. We do research and things like that in physics and astronomy. I've realized that research is something that takes a long time and is frustrating, but at the end result is usually enjoyable? Is this true...
24. Is it possible to integrate this?

Let's say you have an equation like this: dy=f(x) dx2 Would it be possible to integrate both sides of the equation?
25. How Far Will Computer Science Go?

Many problems in modern science are being solved by computers and not humans (though technically it's the humans that give the task to the computer). If this keeps advancing, would there be anything left for us as a "job?" Sorry if my question sounds dumb but i thought it would be interesting to...
26. Generalization of Fresnel Equations?

oh! Sorry I was too dumb to realize that! Thank you! :)
27. Generalization of Fresnel Equations?

Hi guys!! I was wondering if there is a generalization to the Fresnel equations. Those equations calculate the reflective and transmissive coefficients, but it depends on the polarization of the incident ray. Is there a formula that could calculate those constants for an unpolarized incident...
28. Studying Share self-studying mathematics tips

What is a good book on non-euclidean geometry?
29. Random Thoughts part 4

well I'd say it means mathematicians don't really care about the solution as long as it exists. They don't solve the problem, they just make sure it has a solution. It's not true in all cases of course.
30. How do X-ray Binaries Form in Black Holes?

Cool! Thanks a lot! :D