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Title Microsoft Word Etikettipohja_elintarvike Author jenna karpanen Created Date 10/24/18 AM. The rearrangements being justifled by the absolute convergence of the exponential series By uniqueness of Laurent expansions, the coe–cient of tn on RHS is Jn(z) The result follows on replacing s by m, r by sn = mn (iii) 3 exp(1 2(y z)(t¡1=t)) is. I hope you guys like my channel!.
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Created Date 9/25/18 AM. VI4 CHAPTER 6 THE LAGRANGIAN METHOD 62 The principle of stationary action Consider the quantity, S · Z t 2 t1 L(x;x;t_ )dt (614) S is called the actionIt is a quantity with the dimensions of (Energy)£(Time) S depends on L, and L in turn depends on the function x(t) via eq (61)4 Given any function x(t), we can produce the quantity SWe’ll just deal with one coordinate, x, for now. 4 Now we not that we will require that the potential have an overall µ dependence of cos(µ) for r=R1This then suggests that the only l term that survives our sum is l ˘1 which corresponds to the legendar polynomial P1(cos(µ)) ˘cos(µ) Finally we are left with '(r,µ) ˘ A1 r cos(µ)Now applying the condition that at '(R1,µ,`) ˘'1cos(µ) we can solve for A1 and we get.
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