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    Time dilation for a simple problem — Light propagating inside a moving bus

    Thank you guys, I really appreciate the time both of you have taken to respond. Just a bit of background on this question and why I was confused. I started by trying to derive time dilation equation by drawing the typical example of a bus moving at a constant speed V with the light source...
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    Time dilation for a simple problem — Light propagating inside a moving bus

    I have it as ##d_1## as per my assumptions which is the sum of ##d_0## and ##Δd##. Is that incorrect? If ##x## the distance according to the external observer, then that would be ##d_1 = ct_0 + Vt_1##, no?
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    Time dilation for a simple problem — Light propagating inside a moving bus

    So I drew the problem and tried to derive t1 for an external observer by making the following assumptions. Inside observer sees light travel a distance of d0 meters in t0 seconds at a speed of c m/s. Bus moved Δd meters in t1 seconds at V m/s. Outside observer sees light travel a distance of...
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    Understanding Multivariable Calculus: Unpacking a Challenging Step

    It has been a long time since i did multivariable calculus, i can't figure out how they get from the first line to the second (ignore the physics). Any ideas? http://img517.imageshack.us/img517/5955/40978639pp5.th.jpg Cheers,
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    Calculating Closed Loop Gain in a Noisy System

    What if i do this: A' = A2 (A1 + Vn) and then... Vout / Vin = \frac{A'}{1 + A'B} Is this logically correct?
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    Calculating Closed Loop Gain in a Noisy System

    Hi, Is it possible to calculate the gain of a closed loop system with Noise? Here's a diagram describing what i mean: http://img206.imageshack.us/img206/8955/cltfmh8.png I've got the following so far: Vout = \frac{A1A2Vin}{1 + A1A2B} + \frac{AVn}{1 + A1A2B} But the question is...
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    Proving the Solution to a First Order Linear Differential Equation

    HallsofIvy, Thank you very much for that. What a disgrace, this is even a fundamental part of first year calculas!. I kind of knew something was wrong in that line - hence those red question marks. :redface: As for the homework part, :-p What i meant to say was that i don't think this...
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    Proving the Solution to a First Order Linear Differential Equation

    Hello all, I'm trying to prove to myself that the following solution to the DE shown works. I can't start using it until i prove to my self it works (it's this psycological thing i have were i can't use anything unless i know where it comes from). :smile: Here is the Equation and it's...
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