Group Theory & Physics (3): Lie Groups The defining property of a Lie Group is that the group elements can be parametrized by a continuous variable.pic.twitter.com/pNJd0n5VRj
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yep 1 - 2*a*cos(θ) + a^2 = sin^2(θ) + cos^2(θ) - 2*a*cos(θ) + a^2 = sin^2(θ) + [a - cos(θ)]^2 = the square of the distance from (a, 0) to (cos(θ), sin(θ)) maybe that has nothing to do with how to solve it but it's what immediately came to mind
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i feel like i'm supposed to take the derivative wrt a under the integral sign or maybe IBP; both can get rid of the log i've looked at the multiple angle formulae and i've tried the trick that solves the beta integral my trig-identity-fu is too weak
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you're getting warmer..
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