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27 Jun 2024: You should use the notation. kL = k1 k2 k3 , kR = k4 k5 k6 , kT =. 6. a=1. ka ,. kI = |k1 k2 k3| , EL = kL kI , ER = kR kI. ... lr)6 and hence B6 as a function. of the six external momenta ka for a = 1,. ,

3 Jul 2024: Considersmall, sinusoidal perturbations to the edge of the gyre r = a η(θ,t), where η =ϵexp(ikθ σt) and ϵ ka.

27 Jun 2024: δ. and ka, kw are the thermal conductivities of air and water respectively. ... iii) In what follows, take the limits ka/kw 1, ϵ 1 with Γα3h =O(1), in additionto the thin-film approximation αh 1.

12 Jul 2023: Compute PHintP and use it to derive. 〈[Hint,n. a. φa(ka)]〉 = 2 Re〈Hintn. ... a. φa(ka)〉. (ii) Then, use the in-in formalism to derive a time integral expression for 〈na φa(ka)〉to linear order in λ.

4 Jul 2024: MATHEMATICAL TRIPOS Part II 2024. List of Courses. Algebraic Geometry. Algebraic Topology. Analysis of Functions. Applications of Quantum Mechanics. Applied Probability. Asymptotic Methods. Automata and Formal Languages. Classical Dynamics. Coding

27 Jun 2024: Deduce that P and Q satisfy. PxdI1dx. QdI0dx. = 0 when x = ka.

12 Jul 2023: i) Assuming r = r+ is a Killing horizon of. ka =. (. v. )a,. determine the Hawking temperature TH of the Schwarzschild-AdS black hole.

12 Jul 2023: iii) State Killing’s equation. Show that if Ka is a Killing vector, then Ja = TabKb.