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12 Dec 2023: movement [24].

28 Nov 2023: An incomplete list of examples includes most types of computational imaging[2, 14, 25], matrix completion [28], parametric PDEs/system identification [1], phase retrieval [30, 46, 86],quantized sampling [24] etc.

20 Mar 2024: where Λµν satisfies. Λµσ ηστ Λντ = η. µν (1.24). For example, a rotation by θ about the x3-axis, and a boost by v < 1 along the x1-axis. ... The condition (1.24) for Λ to be a Lorentz transformation. becomes. (

11 Mar 2024: V (X) =i. xi1xi2. xi1xi2. y2dy =1. 24. i. [(xi1 xi)3 (xi xi1)3. ]. ... v. 0.0. 0.5. 1.0. 1.5. 2.0. t = 10000.0000.04Y23.65,1. 2.64Z14.92,24.87. FIG.

12 Apr 2024: 1.3.1 The Landau-Ginzburg Free Energy 24. 1.3.2 The Saddle Point and Domain Walls 26.

1 Dec 2023: dJ. dz= 1, that is J(z) = z. (24). In the asymptotic regime of high Rayleigh number, we expect that the heat producedis carried away by advection only, apart from the ... z⟩ =269. 1/2 and ⟨zθ⟩ = θ from (23) and (24).

18 Mar 2024: Then, using our previous result (1.24), we have. Tr (1)FeβH =X. ... 24 –. Note that we’re not assuming that all critical points of h correspond to true E = 0.

1 Dec 2023: X. (CH2. 2CX. )=C. 2V|Z=H C, (4.24). where the vertical velocity at Z =H(X) is given by the vertically integrated equationof volume conservation (2.2), ... Equation (4.24) thus reduces to. H2. 2. (CX. )2=C. 2H. CX=.

18 Dec 2023: 1. INTRODUCTION. In the wake of the many AI-based algorithms throughout the society and the sciences, potentially yielding hal-lucinations and instabilities [4, 23, 23, 24, 31, 34, 38, 40,

8 Jan 2024: Fluid Mech., 911. 24. Middleton, L, C.A. Vreugdenhil, P. Holland, and J.R. ... System, 24-26 August, 2016, NCAR, BoulderTheory of Climate, 2-6 March, 2015, Les HouchesNational Meeting of the Royal Meteorological Society, 16 April 2014, LondonFundamentals