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3 Apr 2018: N =1. 2π. Σ. f. (2.20). This is an integer equal to the first Chern number of the vortex linebundle L Σ, and we shall assume that this integer is ... N,. where N is the vortex number defined by (2.20). If the vortex equations(2.16) and (2.17) are

27 Nov 2018: 8.20). 6An equivalent expression is λ(s,m21,m22) = [s (m1 m2)2][s (m1 m2)2].7We need the symmetry factor because merely integrating over all the outgoing momenta

1 Feb 2018: 1st order BC for ω0 with Re = 10 and N = 10, 14 and 20. ... 1. u. x. N=10. 14. 20. 28. 40. Agree to visual accuracy.

27 Nov 2018: 1.20). Finally, noting that Ep = p0 allows us to write the dot product appearing in the exponentials asiEpt ip x = ipµxµ = ip x.

19 Oct 2018: Bl =3κ1R2sy2(l1)Ds. (σl1. 2l3. σl1. 2l1. ). (2.33). Since the first-order product problem (2.20) is the same as the first-order substrateproblem (2.19), except for a ... γ =. k=1. k(. (2k 1)!(2k 1)(2k 2)! )20.0336. (2.54). Our result for UJanus

19 Oct 2018: I only 3 modes per wave for 1% accuracy. cf FD 40 pts at O(x2), 20 pts at O(x4).

31 Jan 2018: 0.6. 0.8. 1. 1.2. 0 10 20 30 40 50 60 70 80. ... 0. 0.2. 0.4. 0.6. 0.8. 1. 1.2. 0 10 20 30 40 50 60 70 80.

19 Jan 2018: 0 5 10 15 20 25 30. ’mres8l2i’ u ($13):5’mres8l1i’ u ($12):5’mres8l3i’ u ($14):5.

25 Oct 2018: 0 5 10 15 20 25 30. ’mres8l2i’ u ($13):5’mres8l1i’ u ($12):5’mres8l3i’ u ($14):5.

10 Mar 2018: In the recent work,20 some connections between the Painlevé property and Lie point sym-metries have been uncovered. ... Nonlinear Math. Phys. 20, 110 (2013).19 Koenigs, M. G., Sur les Géodesiques a Intégrales Quadratiques.