Recent content by connor415

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    Undergrad Bohr Model of Atom: Stability Condition Explained

    Eisberg and Resnick says that the condition for stability of the atom is: k Ze2/r2=mv2/r What I fail to understand is why the Z isn't square too. I mean surely you have Z electrons interacting with Z protons which which would surely give q1q2=(Ze)(-Ze)=-Z2e2? What am I missing?
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    Taylor series for cos[1/(1-z^2)]

    Bit stuck on this. I tried writing 1/(1-z^2) as taylor series then Cos z as taylor series, then substituting one into the other but it looked a bit dodgy. Can one simple substitute like this?
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    Quicker Method to Find Taylor Series of sinz - sinhz?

    The method I used was brutish. I didnt use the generalized form of the series for sin and sinh that I think youre referring to. I now am, and its faster. Thanks
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    Quicker Method to Find Taylor Series of sinz - sinhz?

    I have to find the first three non zero terms of this series by hand. I know the answer and it is -(z^3/3) - z^7/2520 - z^11/19958400 Which will take ages to get to by brute force. Is there a quicker way?
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    Graduate Internal entropy change for nonquasistatic process

    Hi all, I read that the internal entropy change of a system (\DeltaSi) for a non-quasistatic process where a reservoir cools or heats the system, where N and V are fixed and no work is done is approximately equal to (\DeltaT)2, when the difference between TReservoir and Tsystem is small. The...
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    Graduate New limit on lorentz invariance violation

    Oh right thanks!
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    Graduate New limit on lorentz invariance violation

    Seasons greetings all, I am trying to dissect a really interesting article: http://www.nature.com.libproxy.ucl.ac.uk/nature/journal/v462/n7271/full/nature08574.html but I am struggling with some of the more technical terms in it. I have shown it to some lecturers at my uni and even they...
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    Proof of Vector Field Identity: (u.∇)u = ∇(1/2u^2)+w∧u

    Yeah me too! Nah youve lost me sorry. Cheers for the effort nonetheless
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    Proof of Vector Field Identity: (u.∇)u = ∇(1/2u^2)+w∧u

    no magic
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    Proof of Vector Field Identity: (u.∇)u = ∇(1/2u^2)+w∧u

    Im not asking him to do my homework. I did it myself. Just his method was different to mine so was asking him to do it same way.
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    Proof of Vector Field Identity: (u.∇)u = ∇(1/2u^2)+w∧u

    oh and were j and m supposed to be upper case in line 3 of your method?
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    Proof of Vector Field Identity: (u.∇)u = ∇(1/2u^2)+w∧u

    ps I tried to do it starting from the left, could you do it that way please? Thanks
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    Proof of Vector Field Identity: (u.∇)u = ∇(1/2u^2)+w∧u

    Sorry I am still confused. How did you expand w∧u?
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    Stream Function vs Streamlines: What's the Difference?

    yeah I had to look up the difference between a function and a equation, then it became more obvious. Nice analogy, and really good description. Thanks.
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    Proof of Vector Field Identity: (u.∇)u = ∇(1/2u^2)+w∧u

    u is a vector field, show that (u.∇)u = ∇(1/2u^2)+w∧u Where w=∇∧u