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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.

27 Nov 2018: is based on Alt’s formulation [22]and extends subsequent models [23,24,33]. ... dpdx. (24). The significance of the last two terms on the right-handside is known for nonchemotactic swimmers.

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 =

13 Dec 2018: h(Xn) = z |Sn(xn Xn)3/2. αφ(Xn)δ|. (24). 2. Medium with Linear Profile. ... Reconstruct the surface h(Xn) by eq. (24) for uniformmedium or (26) for linear profile using Φ obtained aboveend for.

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

13 Dec 2018: 24. P. Tran, Calculation of the scattering of electromagnetic waves from a two-dimensional perfectlyconducting surface using the method of ordered multiple interaction, Waves in Random Media, 7,295-302 (1997).

19 Jul 2018: Thus the space oforbits of K2 in MC admits a Toda Einstein–Weyl structure [3, 24].• There exists a combination of self-dual two-forms which is degenerate when the harmonic. ... Roy. Soc. A363 (1978) 289–295.24. R. S. Ward, ‘Einstein-Weyl spaces

8 Jan 2018: Nonlinear NonmodalStability Theory. R. R. Kerswell,School of Mathematics, Bristol University, Bristol, U.K., BS8 1TW; email:. R.R.Kerswell@bris.ac.uk. Xxxx. Xxx. Xxx. Xxx. YYYY. AA:1–30. This article’s doi:. 10.1146/((please add article doi)).

13 Dec 2018: For scalar wave fields witharbitrary incident angles the scattered field obeys the Helmholtzboundary integral equation [1, 24]. ... Sel. Top. Appl. Earth Obs. Remote. Sens. 7,1573–1583 (2014). 24. J.

13 Dec 2018: T ′ij = lipljqTpq (3.24). can be rewritten in matrix notation as T ′ = LT LT – check this yourself!

23 Jan 2018: qq′). (1.24). Upon the substitution p′ = p m(qq′). t this becomes. ... Z0[J] =. d[ϕ] e. i2. ddx (µϕ(x)µϕ(x)m. 2ϕ2(x))iddx J(x)ϕ(x). (2.24). This is an integral with a highly oscillating integrand; if

13 Dec 2018: This is precisely our archetypal variational. problem with. f(x,y,y′) =. 1 y′2, (1.24). ... NST IB Mathematical Methods II 24. case of the adjustable parameters, then the Rayleigh–Ritz method will find both y0 and.

14 May 2018: S[a] =. Z1. 2ab @. µa@µb. m2. 2ab. ab (ab ab)2 ddx (6.24).

25 Oct 2018: f 0(xi)|,. (6.24). where the first equality used equation (6.21) and the second (6.22).

18 Nov 2018: Doyle and C. McMullen [24]: “But can be solved in the case ofthe quartic and the quintic using several limits (towers of generallyconvergent iterative maps linked serially).”. ... P. Doyle and C. McMullen [24]: “But can be solved in the case ofthe

26 Apr 2018: There are also a number of excellent books, and Google returns about 24,300,000 hits for the search‘Matlab introduction’ (up from 13,400,000 hits last year), and about