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18 Oct 2021: 5 Phase Transitions. 5 Phase Transitions. A phase transition is an abrupt, discontinuous change in the properties of a system. We’ve already seen one example of a phase transition in our discussion of Bose-Einstein condensation. In that case, we

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8 Jul 2021: B. Microsphere motion. The dynamics of a microsphere forced by an optical trap whose position is laterally oscillated isa well-studied problem [24]. ... Phys. 1, 28 (2018).[24] K. C. Neuman and S. M. Block, Optical trapping, Rev.

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

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.

23 Apr 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-o follows from solving the free Schrödinger equation; we’ll see this ex-.

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

8 Jul 2021: While recent numerical work reported that the elasticstresses in the wake of rigid cylinders depend on the orientation of the cylinder relative to its velocity[24], the dependence of the drag ... symmetry breaking, Phys. Fluids 24, 103102 (2012).[19] J. A

8 Jul 2021: 19]. Ex-perimental work on bacteria in their swimming [20–24]or swarming states [25,26], algae [27,28] and sperma-tozoa [29,30] provide diverse examples of correlated,collective dynamics ... 23] Wolgemuth C. W., Biophys. J., 95 (2008) 1564.[24] Sokolov

16 Feb 2021: fundamental problems of S.Smale on existence of algorithms [24, 25, 100–102] and work by C.