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11 Nov 2018: Amer. Math. Soc., 24(1):81–124, 2011. Introduction Schrödinger and PDEs Discrete operators Numerical Example Conclusion Definitions. ... Solvability Complexity Index (SCI) [24, Hansen, JAMS]. is some set, called the primary set,.

13 Dec 2018: As an illustration of the method, Figure 1 shows comparisons between the firstand second iterations of the operator series with ’exact’ computations from (24 ),restricted to the rough portion of the ... αr r′. = f(r,r′) (24). the expression (23)

10 Mar 2018: A different approach was developed by Painlevé, Kowalevskaya, and Gambier who studied 2ndorder ODEs in the complex domain.16,24. ... Proc. Cambridge Philos. Soc. 156, 99–113. (2014).24 Painlevé, P., “Sur les équations différentielles du

31 Dec 2018: f(r) = eU(r) 1 (2.24). This is a nicer expansion parameter.

26 Jan 2018: S k log G = kαN log E const. (1.24). and hence.

12 Feb 2018: Z. CT [y0,y1]Dx eS[x]/. nY. i=1. Oi(x(ti)). (3.24). – 47 –. for the n–point correlation function. The hats on the Ôi remind us that the

14 May 2018: called a Nakanishi–Lautrup field) and write. [f ] =. ZDh eSgf [h,r]/ , (8.24). ... representation, h 2 0M (g). This does not imply that (8.24) is gauge invariant: indeed itcannot be if it is to fix a gauge!

19 Sep 2018: 6. First integrals and Fermat’s principle 24. 7. Constrained variation of functionals 27. ... 24 –. c1 BAn(z)dl, where the integral is along the path.

2 Nov 2018: operator (the case γ = 1) represents a challenge for spectral theory (Böttcher, Grudsky &. Iserles 2012). 24. Figure 4.3: The eigenvalues of the integral operator with ω = 100 for γ =

17 Apr 2018: 24. (Levin & Lubinsky 2001, Van Assche 2018). Hermite polynomials form the simplestexample, other familiar cases are Q(x) = x4 tx2 for some t R and Q(x) = |x|(whereby smoothness fails