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7 Apr 2021: ai bj = 2 ij (3.24)? is sometimes referred to as the dual lattice. ... 91 –. The condition (3.24) can also be stated as the requirement that.

8 Jul 2021: 𝑝(𝑧) = 𝑟𝑅𝑢𝑟(𝑅, 𝑧). (24). Kinematics based model. The kinematic based model was postulated from the system’s bound-ary conditions.

8 Oct 2021: hx| i =Z. R (x0) hx|x0i dx0 = (x). (2.24). In other words, the position space wavefunctions we’re familiar with are nothing but the.

30 Nov 2021: Zrmax(t). 0. drp1 kr2/R2. = c a(t). Zt. 0. dt0. a(t0)(1.24). ... Indeed,. mathematically it could be that the integral on the left-hand side of (1.24) does not.

8 Jul 2021: Cells interact with their surroundingsthrough complex hydrodynamic and steric interactions.21,22 Rigidboundaries, free surfaces and other obstacles in suspensions areknown to strongly affect swimming behaviour.23,24 Relevantcomplex media include

15 Apr 2021: M2Plä. a= 1. 6(ρ 3p). (1.24). Second, by taking the time derivative of the Friedmann equation and using the continuityequation to get rid of ρ̇, we can find the ... ̇K = ä2K. ȧ3ä (ρ 3p) (1 3w) , (1.27). where in the second step I used the

23 Apr 2021: Particle PhysicsCERN Lectures. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK. http://www.damtp.cam.ac.uk/user/tong/particlephysics.html.

14 Jul 2021: 1.29:. 1.28:. 1.27:. 1.26:. 1.25:. 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. ... 0.31:. 0.30:. 0.29:. 0.28:. 0.27:. 0.26:. 0.25:. 0.24:. 0.23:. 0.22:. 0.21:.

18 Apr 2021: 1. ar v̇ = Ḣ. 1. arv̇. Take the gradient of (3.24) to get. ... 1.24). In such a situation, it would make little sense to talk about perturbations with.

8 Jul 2021: Received 13 May 2020; revised 18 February 2021; accepted 24 February 2021). ... Ω. , (2.23). where. A = 6ζ‖ 4Δζ (φ21 φ22 ) O(φ4), (2.24)B = 4Δζ (φ1 φ2) 83 Δζ (φ31 φ32 ) O(φ4), (2.25).