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25 Feb 2021: Claim:. d? F =? J , rµF µ = J (3.24).

14 Jun 2021: 6. Black Holes. Black holes are among the most enigmatic objects in the universe. They are described. by deceptively simple solutions to the Einstein equations, yet hold a host of insights. and surprises, from the meaning of causal structure, to

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.

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

22 Apr 2021: 23/82. 24/82. Hilbert’s question. Are all nonnegative polynomials sums of squares?

12 Jun 2021: S T)µ1.µp1.r1.q1.s. = Sµ1.µp1.qT1.r. 1.s (2.24). Given an (r, s) tensor T , we can also construct a tensor of lower rank (r

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.

29 Mar 2021: integral as. n 4. (2)3 eµ. Z 1. 0. dp p2ep2/2m =. mkBT. 22. 3/2eµ (2.24). Let’s try to interpret this. Read naively, it seems to tell ... anti-aligned to give 3 dierent spin 1 states. With these two amendments, our expression for the number density (2

17 Jan 2021: We then changed the ciliated fraction areain the simulations by changing the distance between cilia in thedirection perpendicular to the beating (d=0.08, 0.16, 0.24,

12 Jun 2021: 7. Special Relativity. Although Newtonian mechanics gives an excellent description of Nature, it is not uni-. versally valid. When we reach extreme conditions — the very small, the very heavy or. the very fast — the Newtonian Universe that