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  1. snatchingthepi

    Engineering Filter bandwidth

    These posts were enough to encourage me to find a good answer. Thank you both.
  2. snatchingthepi

    Engineering Filter bandwidth

    Hi everyone I am finishing the last problem for a DSP problem set and just frankly have no idea where to start this one. I'm thinking I could compute the magnitude of each filter and then compare, but again am not sure. Can anyone point me in the right direction? Thanks
  3. snatchingthepi

    Advice for my first course in Discrete Signal Processing?

    Summary:: I'm about to take my first course in DSP. It is a one term graduate course using the 4th edition of Proakis. I'm about to take my first course in DSP. It is a one term graduate EE course using the 4th edition of Proakis. Does anyone with experience in this have useful advice for such...
  4. snatchingthepi

    Programs Exploring Benefits of Biomedical Engineering PhD vs. Medical Physics PhD

    My school does not require any such thing. The course requirements are actually quite small, and there is a much larger emphasis on publication and attracting funding.
  5. snatchingthepi

    Programs Exploring Benefits of Biomedical Engineering PhD vs. Medical Physics PhD

    My school is in Canada and it is CAMPEP accredited. I should mention that I am actually not interested in pursuing a clinical physics residency, but am attempting an MD-PhD program, and I intend to work in the public healthcare system. I am aware that the nucmed scene is small, but that there...
  6. snatchingthepi

    Programs Exploring Benefits of Biomedical Engineering PhD vs. Medical Physics PhD

    Hey all I'm finishing up my master's degree in medical physics this year, specifically working in PET-MR data analysis. I have a definite professional interest in medical imaging, and am planning on pursuing this. I have an interesting choice where I've been offered a position as a PhD student...
  7. snatchingthepi

    Programs PhD in Medical Physics vs Biomedical Engineering

    Thank you very much Choppy. So from what I'm hearing, as far as my particular position goes, the different titles are largely equivalent. Especially if I have an MSc in medical physics?
  8. snatchingthepi

    Programs PhD in Medical Physics vs Biomedical Engineering

    I have two paths I can take in my graduate studies. I'm currently an MSc student studying hybrid PET-MR systems in a medical physics program. My advisor is adjunct to the department of biomedical engineering, as well as the medical physics department. We were discussing doctoral work and it came...
  9. snatchingthepi

    Partition function from the density of states

    I am unsure *how* to do this integrla with the incomplete gamma function. My thought hit a dead-end at $$ z_{can} = \int_0^\infty \theta(E-\Delta)\left(\frac{1}{\Delta}\right)\left(\frac{E}{N\Delta}\right)^N exp[-\beta E] dE $$ $$ z_{can} = \int_\Delta^\infty...
  10. snatchingthepi

    Partition function from the density of states

    I'm given the following density of states $$ \Omega(E) = \delta(E) + N\delta(E-\Delta) + \theta(E-\Delta)\left(\frac{1}{\Delta}\right)\left(\frac{E}{N\Delta}\right)^N $$ where $ \Delta $ is a positive constant. From here I have to "calculate the canonical partition function as a function of $$...
  11. snatchingthepi

    How to care about only one particle in a two-particle system

    I *just* saw that! Thank you. I have now have legitimate answers that preserve normalization when I integrate over everything. Thank you!
  12. snatchingthepi

    How to care about only one particle in a two-particle system

    So for the 1D infinite well with the states above, I have ## \psi_{symmetric} = \frac{2}{L} [sin[\frac{\pi x_1}{L}]sin[\frac{2\pi x_2}{L}] + sin[\frac{2\pi x_1}{L}]sin[\frac{\pi x_2}{L}]] ## ## \psi_{antisymmetric} = \frac{2}{L} [sin[\frac{\pi x_1}{L}]sin[\frac{2\pi x_2}{L}] - sin[\frac{2\pi...
  13. snatchingthepi

    Other Jackson and Pathria advice

    I checked out Franklin's book on Scribd and it looks very solid. Thank you. I thought it funny that the cover, font, typesetting, tone, and contents all remind me of Griffiths.
  14. snatchingthepi

    Is 6 months of intense study enough time to study for an entrance exam

    A reasonably bright person could teach themselves from algebra to introductory calculus in 6 months if they worked hard. Go for it.
  15. snatchingthepi

    Other Jackson and Pathria advice

    Thank you both very much. I was planning on purchasing a couple supplement texts, so I'll definitely check out those you've recommended.
  16. snatchingthepi

    Other Jackson and Pathria advice

    So this coming semester I'm taking my first courses in graduate level EM and statmech using Jackson and Pathria. My first term was softer academically, so I've taken the time to review certain mathematical subjects - vector calculus, DEs, and linear algebra. Does anyone have any particular...
  17. snatchingthepi

    Admissions Recommendations for an institution for a PhD in Medical Physics

    I enrolled at UManitoba as a graduate student in medical physics. It seems they look for above 3.50 on the 4.5 scale, but will consider you over 3.00
  18. snatchingthepi

    I Step unclear in Peebbles' Probability Book

    Sorry for the lateness of my thanks, but #gradschool. Yeah I feel slightly stupid now for not realizing that. It was exactly what I needed. Thank you.
  19. snatchingthepi

    I Step unclear in Peebbles' Probability Book

    If anyone could help me understand how Peebles gets from line one of the autocorrelation to the second line, I'd be most grateful. I don't understand what identity or property is being used to go from a product in the expectation value to a sum in the expectation value.
  20. snatchingthepi

    What happens *just* under the Nyquist limit

    Exactly this! Thank you so much.
  21. snatchingthepi

    What happens *just* under the Nyquist limit

    Thank you all for the wonderful replies. I will specify my question further. I am reading Easton's "Fourier Methods in Imaging" and on page 479 I have the following statement that I am having a hard time visualizing. "...I'd the spatial frequency of the cosine is infinitesimally smaller than...
  22. snatchingthepi

    What happens *just* under the Nyquist limit

    What does the reconstructed wave look like if we sample the input an infinitesimal amount under the Nyquist limit? I can intuitively picture how we can (ideally) reconstruct an input sampled at the Nyquist limit (and appropriate phase) because we are able able to get the extreme values of the...
  23. snatchingthepi

    Max and min functions in spherical expansions

    Not a problem. My concern was with the min and max functions. Thank you.
  24. snatchingthepi

    Max and min functions in spherical expansions

    I'm trying to solve the vector potential of a solid rotating sphere with a constant charge density. I'm at a point where I'm performing the final integral that looks like $$ -\left( \frac {\mu_0 i} {3} \right) \sqrt{\frac 3 {2\pi}} \frac {q\omega}{R^3} Y_{1,1} \int_0^R (r')^3 \frac {r_<}...
  25. snatchingthepi

    Quadrupole term for uniformly charged sphere (where did I go wrong?)

    Actually I think I may have found the mistake as I confused a part of my notation with something that should have been unprimed. Thanks.
  26. snatchingthepi

    Need help with Poisson's equation for a charged cylinder

    I feel as though you are completely neglecting the actual purpose of this post. Regardless of how you feel my problem is stated, you are pedantically distracting attention away from the actual question. But yes, you are right in your assumptions.
  27. snatchingthepi

    Need help with Poisson's equation for a charged cylinder

    Rudeman all the information is present in the problem statement, and the use of arbitrary points to determine a potential difference is acceptable with infinite cylinders since the potential does not behave at zero or infinity.
  28. snatchingthepi

    Need help with Poisson's equation for a charged cylinder

    So I'm trying to solve for the field and potential inside and outside of an infinite cylinder with uniform charge to length density. Using Gauss' law I am able to do this very easily and get the answers. ## V = \left(\frac {-\lambda} {2\pi\epsilon} \right) \ln\left(\frac b a \right)## for...
  29. snatchingthepi

    Quadrupole term for uniformly charged sphere (where did I go wrong?)

    So I got an assignment returned to me with fewer marks than I had expected. One part in particular is confusing to me. The professor is only available on Monday for a tutorial, but I'd like to see what is wrong before then. Can anyone spot why this is incorrect?
  30. snatchingthepi

    Convolution Help on tri(x,y) ** (step(x) * 1(y))

    I found out what is going on. Turns out that since tri(x,y) => tri(x) * tri(y) the equation is separable and can be written as two 1d convolutions like (f(x) ** h(x)) * (f(y) ** h(y))
  31. snatchingthepi

    Convolution Help on tri(x,y) ** (step(x) * 1(y))

    I have some confusion about this question. I am asked to do the 1D convolution of a function that is clearly 2-dimensional tri(x,y) ** (step(x) * 1(y)) where ** is the convolution. Furthermore my professor is not available for questions (have tried). I'm wondering if I simply ignore the bits...
  32. snatchingthepi

    Where does this term come from? (pulling a wire loop through a B-field)

    I can't for whatever reason figure out where the sin(theta) term is coming from in the attached picture of page 306 of Griffiths' 4th edition EM text. The paragraph says it comes from the dot product, but I just don't see where it's coming from.
  33. snatchingthepi

    Help with a series expansion in Marion & Thornton

    So I'm on page 67 of Marion/Thornton's "Classical Dynamics of Particles and Systems" and I'm in need of some help. I understand that so far there's is an equation that cannot be solved analytically (regarding motion due to the air resistance and finding the range of the an object shot from a...
  34. snatchingthepi

    Help please in understanding the limits of this integration

    Here is my image of the integral I've computed. Barring an extra parentheses I've clearly dropped by accident at the end, I am trying to run it from sqrt(1/2) to 1. Looking at the graph above provided by vela (thank you) I see where everything intercepts, but I do not understand why the given...
  35. snatchingthepi

    Help please in understanding the limits of this integration

    So I can push this integral all the way to the end and see I get a negative volume. I solve for the intercepts of the cone and sphere at r^2 = 1/2. Seeing this cone is inside the sphere and the sphere is around it, I figure I should integrate from sqrt(1/2) to 1 since we're dealing with a unit...
  36. snatchingthepi

    What could elementary school teachers do to better prepare students?

    In my own country I can suggest the follow thoughts. 1. Raising the bar for teachers Entrance requirements for teacher's colleges should include *actual teaching experience* - camp counselling, coaching, babysitting, mentoring, being a lab assistant or teaching assistant, outreach volunteer...
  37. snatchingthepi

    What could elementary school teachers do to better prepare students?

    As someone who has spent the last four years teaching at a private elementary school... The major difficulty facing elementary teachers, and specifically those who teach the lower grade levels, is that you are often working with developing a person rather than a student. Many first graders come...
  38. snatchingthepi

    Studying Useful guidance for research in medical physics

    Thanks everyone. I'll take all this to heart. Especially you Dr Courtney.
  39. snatchingthepi

    Studying Useful guidance for research in medical physics

    I haven't read much apart from what's happened inside the lab I'll be working at. Do you know the journals of the field? That's be helpful information. I did find a paper on hyper-polarisation for increasing resolution to be pretty fascinating. Some complicated process involving the surface of...
  40. snatchingthepi

    Studying Useful guidance for research in medical physics

    It's looking like I'm going to get funding for a research MSc in medical physics, working specifically with MRI technology on in-vitro rat brains looking at models of diagnosing disorders of the nervous system. I was just wondering if anyone had any useful advise or guidance for some things to...
  41. snatchingthepi

    How to Salvage my Academic Career?

    I also graduated with very little prospects and two degrees (one in physics and the other in music). I tried to stick it out and even moved to another city where I eventually found employment using my music degree at a preschool. My wife and I are not above poor, but we always have enough for...
  42. snatchingthepi

    Other Undervalued books

    A favourite oldie of mine is Fermi's "Thermodynamics". Straight from one of the masters.
  43. snatchingthepi

    Quantum Book on Quantum Field Theory for PhD

    A combination like Klauber and Weinberg might be useful.
  44. snatchingthepi

    Quantum Starting books for Quantum Mechanics

    I think most people use Griffiths book because it is "simple" and "conversational" and doesn't put too much work into prerequisites. I found this a bloody disaster and my confusion was immediately cleared-up when I switched to Zettili.
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