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8 Sep 2021: 3Institut Universitaire de France (IUF), 75005 Paris, France. (Received 9 May 2021; accepted 24 August 2021; published 8 September 2021). ... 24). It follows that the rescaled area S = A/a2 monotonically de-creases in time,.

10 Sep 2021: D. Leading-order dynamics. The induced flow, Eq. (24), makes no contributions to Eq. ... 24). Wefind that the first-order correction to the force distribution is given by.

6 Oct 2021: 1923-24: de Broglie proposes wave-particle duality for matter, as for radiation. •

25 Aug 2021: 1.2.2 The Scattering Amplitude 22. 1.2.3 Partial Waves 24. 1.2.4 The Optical Theorem 27. ... r(1.24). The 1/r fall-off follows from solving the free Schrödinger equation; we’ll see this ex-.

19 Apr 2021: So we write the relevant action:. (24)dλ. It is easy to prove that minimum action extrema of £ with given initial and.

17 Apr 2021: Z(1.24). If we make a measurement described by an operator Ô, then the probability that wefind ourselves in the eigenstate |φ〉 is given by.

18 Oct 2021: ρ. =. e. -. β. H. Z. (1.24). If we make a measurement described by an operator. ... In the quantum context, it is sometimes written in terms of the density matrix (1.24) as.

18 Oct 2021: v. r. (. p. ). Figure 23: An incoming anti-fermion. Figure 24: An outgoing anti-fermion. •.

18 Oct 2021: and. -. 𝑑. x. x. e. -. a. x. 2. =. 0. (2.24). where the second equality follows because the integrand is odd (and suitably well behaved at infinity). ... σ. ). exp. (. -. x. 2. σ. |. α. |. 2. ). =. k. 0. where, to get the final equality, we did the

11 Jun 2021: Demonstration of convergence. 24 THE BARRIERS OF DEEP LEARNING AND SMALE’S 18TH PROBLEM.

8 Jul 2021: For larger ciliatedcells [24], or for multicellular aquatic organisms equippedwith many short flagella [25], the synchronization dynamicstakes the form of metachronal waves, akin to spectator wavesin sport stadiums. ... p = p1 O(2 ), (24). σ = σ1 O(2 ).

31 Jul 2021: tomodel the effects of the porous plate, where 𝜇 = 𝛼𝐻𝐾𝑅/(𝜋𝑟2) is the porosity parameter [23, 24]. ... 723, 2013, pp. 456–479. [24] Howe,M.S., Scott,M. I., andSipcic, S.R., “The influenceof tangentialmeanflowon theRayleigh

16 Oct 2021: 5 When Gravity is Weak. 5 When Gravity is Weak. The elegance of the Einstein field equations ensures that they hold a special place in the hearts of many physicists. However, any fondness you may feel for these equations will be severely tested if

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.

29 Oct 2021: relevance to human disease, and even promising compoundsoften fail to show an effect in clinical trials.24,25.

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.

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

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

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:.