Recent content by Lajka

  1. L

    [Biomedical engineering] Question about ECG signal electrodes

    Hi, man, thank you for your answer! Would you happen to know some litterature/website where I could learn more about this? It sounds very interesting, and I am pretty new in all this. Thanks!
  2. L

    [Biomedical engineering] Question about ECG signal electrodes

    Hiyo, Could someone please explain to me how exactly, or why, does the ground electrode in ECG minimize the interference? And, also, why is it said that the patient could be at risk because of the ground electrode? I really don't get it, so if there's anyone here who could clarify this...
  3. L

    A question about multiresolution analysis (from a topological point of view)

    Yes, it does. I had trouble understanding it, but I think I make some progress. I actually think now I may got it wrong from the very beginning. E.g., if you have a family of functions {f_n} that has a limit f, I think it's okay to say that "lim(n→∞)=f" as well as "family {f_n} can approach...
  4. L

    A question about multiresolution analysis (from a topological point of view)

    Hi, I have a problem understanding something This is a snapshot of a book I am reading Point no. 2 concerns me, because it looks to me like it contradicts itself, with "this or this" The first part says \sum_{j}V_j = \mathbb{L^2(R)} which, to me, looks completely equivavalent...
  5. L

    How Is an Inner Product Defined on an Abstract Vector Space?

    Thanks for your answers, everyone! Yes, of course, thanks for the correction. You still get a vector, tho, that's what I was trying to say, poorly. I have to say it never occurred me it could be like that. Here I was trying to figure out how could I produce a number(scalar) out of these...
  6. L

    How Is an Inner Product Defined on an Abstract Vector Space?

    Hey, here's a simple question. I have been reading some materials and, for the n-th time in my life, there was a definition of an inner product as a function V \times V \rightarrow F, where V is an abstract vector space and F is an underlying scalar field. However, it got me thinking. Inner...
  7. L

    Interchange of limits and integrals

    Sorry, I was away. Ah, I see! That makes sense. I will ponder upon it some more later, but at the moment I have nothing more to ask, it seems crystal clear now. Thank you! :)
  8. L

    Interchange of limits and integrals

    I am sorry, I know you are trying to help, but I just can't see how that is relevant, although it's nice to know that as well. Maybe the question I am asking is so trivial to you that you simply oversee it, I honestly can't tell. How did we get from \int_{- \infty} ^{+ \infty}...
  9. L

    Interchange of limits and integrals

    Hey Serena! :) Well, I am just trying to understand it well enough so I can "move on". Perhaps I am aiming too high. Well, if \hat θ(ω)=0, then the whole integral is zero, I guess, problem solved :D The way I see it, the "problem" is that this term ("the discrete sinc function" some people...
  10. L

    Proving the Convolution Theorem for Laplace Transform

    Here, let me help you, I've taken a snapshot of it: The convolution is being done over an imaginary line Re{(\sigma)} = c
  11. L

    Interchange of limits and integrals

    I am afraid I don't understand, I still see the limit which is put outside of an integral, when I look at the formula. Would you please elaborate a little?
  12. L

    Interchange of limits and integrals

    Hi, I was wondering about one particular example of this interchange. In Mallat's book, at the proof of Poisson Formula it's visible that the equation at the beginning of the 42nd page features the limit outside of the integral. It is my understanding that this limit had to be in...
  13. L

    Proving the Convolution Theorem for Laplace Transform

    Yes, there is. See here. Check out the 'multiplication' part under the 'Properties and theorems' section.
  14. L

    Two questions about op amps I've troubled for some time.

    Hi, I was hoping someone could help me resolve a little difficulty I have. ------ Question number one: Say you have an op amp with a negative feedback. I've been taught that the principle of 'virtual ground' must hold. But what happens for a circuit for like this? As you can see, I...
  15. L

    What is the Limit of a Function with Finite Integral?

    Hm, okay. The only thing that is still uncomfortable for me is that I can't seem have an analytic form of the function which I integrate, e.g. if I tell you the analytic form of the function f(t) is f(t)=e^{-t^2}, could you tell me the analytic form of the function \lim_{\tau \to...
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