Recent content by Atrus

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    Overcoming Maths Obstacles: Tips & Advice

    Well, this maybe a long shot, but you can always look at Hilbert's problems or Clay institute millenium problems... Maybe you won't solve any of those (maybe you will ;) ) but they may present you with a direction to take in your thoughts or open the door to an interesting field... Kolmogorov...
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    Schools Time of Postgraduate School :frown:

    CV, or resume (although some people say that those are different), is a list of your educational and professional experience. It usually also contains contact details and basic info about you, like date of birth. Here's a helpful link http://en.wikipedia.org/wiki/Curriculum_vitae Hope you...
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    Schools Time of Postgraduate School :frown:

    As I recently passed through the whole process, I understand your anxiety (at least that's what radiates from your post :wink: ). My field is EE/ME so I can't assess the quality of the universities you listed in the field of mathematics but... First of all, you can check the university...
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    Any control engineers out there?

    Go for it! I'm a control engineer, although a fresh one (recently graduated). Well, I don't know what specific area would I recommend for you. However, I can just state that the rest of control engineering is fun as well as that first class you took. You'd be working on a meeting point of...
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    How Does the Height and Width of a Dam Impact the Force Exerted by Water?

    I don't know if I'm right here, but in your calculations you accounted for the force caused by the hydrostatic pressure of the water held by the dam. If it is a still body of water, then this is the only pressure on the dam and that's it, it doesn't depend on the size of the body of water, just...
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    High School Sequence Puzzle: Can You Figure it Out?

    This being a trick question, I guess it is a comma sign ',' ;) Or maybe a number...
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    Pilot Solves Navigation Problem with Handwritten Sign

    Well, I haven't been to Seattle (yet :) ) and haven't had any contact with any part of MS, so it haven't crossed my mind :)) I heard the variation of the riddle before, but it was more of a joke, with (I think) a guy in a balloon stopping shouting out to find out his location, and he meets a...
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    Pilot Solves Navigation Problem with Handwritten Sign

    Was it "the math institute" (or similar) as they gave him "completely correct, yet completely useless answer"? :)))
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    Undergrad Why No Explosion? The Science Behind Temperature and Pressure in Tires

    Although I'm sure this makes sense to people who know more about this than me, I think the basic reason is explained by AntonVrba and wave. Gas equation takes into account temperature in Kelvin's scale pV = nRT, so tenfold increase wouldn't be 2°C -> 20°C but 275 K (= 2°C) to 2750 K = (2477...
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    Fourier Series Question: Express q(t) as a Fourier Expansion

    Well, your results are equivalent :)) I'm poor at LaTeX, but I'll try to explain. First, there is a typo in a final result (I suspect it is a typo), there should be q(t) = Q\left[\frac{1}{2} + \frac{2}{\pi^2} \sum_{n=1}^\infty \frac{\cos nt (\cos (n\pi)-1)}{n^2}\right] (notice the...
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    Frequency Response of Amplifiers (BJT and FET transistors)

    I'm not sure what do you refer to as open/short circuit methods for determining time constants, probably because we may use some different names for the same methods in my language, or maybe because I forgot all about them. Still, I'll try to help (these are my assumptions of your actual...
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    Problems with FFT: Seeking Help for Senior Project

    I just thought about what I wrote (I should do that BEFORE writing, right?). Well, since FFT (DFT) transform results with spectrum of periodic signal whose one period is the original sequence, it doesn't matter if the sequence is causal or not, FFT "percieves" it as periodic to + and -...
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    Problems with FFT: Seeking Help for Senior Project

    It should be real only if input sequence is symmetrical around t = 0. But you assume causal sequence (with FFT), so data is shifted and phase delay is introduced, by which you get imaginary component of spectrum... At least, that's off top of my head. Could be wrong...
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    Frequency Response of Amplifiers (BJT and FET transistors)

    Well, since English is not my mother's tongue, I'll try to be brief and not get tangled in terminology. As you probably know, complex impedance of capacitor is 1/(jCw), w being circular frequency of current flowing through the capacitor. On higher frequencies, impedance of a capacitor is...
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    Battery capacity and time to full discharge

    Current is the rate of the change of charge in time: I = Q / t. Power is computed (here) as product of current and potential across the terminals: P = I * U By eliminating the current I from upper equations, you get: t = Q / I = Q / (P / U) = Q * U / P charge Q = 120 Ah, U = 12 V, P...