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9 Jun 2021: activator” [24,25], the com-plicated instability conditions for N > 2 [26] do not lendthemselves to analytical progress.Here, we analyze the diffusive threshold for Turing. ... Natl. Acad. Sci. U.S.A.115, 6572 (2018). [24] A. J. Koch and H.

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

12 Jun 2021: anti-clockwise in the Southern hemisphere. Notice that the period of rotation is not 24. ... hours unless the pendulum is suspended at the poles. Instead the period is 24/ sin.

12 Jun 2021: perpendicular to B. In the last line, we’ve used the equation (2.24). ... oscillating with frequency! = qB/m. However, because of the constraint (2.24), the.

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

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

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 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

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.