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3 Sep 2009: V|ψ|2 dx = ψ2u v, (24). where v =. V dx, and by ψ the wavefunction of the bulk: ψ ψ as r. ... For thequartic term in the expression for the energy, we write using equation (24).

29 Jan 2009: 24. Recall Section 1.6: A is not unique, because we can transform the vector potential according to.

16 Jan 2009: n E|. =1. ǫ0σ (23). nE|. = 0. (24). b). Let S carry current density s per unit length (charge crossing unit length in S in unittime).

1 Dec 2009: 3.24). The corresponding result is the following. Theorem 2 Let f(y) be constant, then we have θ0 = 0, θ1 = ̺ and. ... θs = (s 1)̺, s 2.Proof We shall use formula (3.24) and proceed along the lines of theproof of Theorem.

12 Aug 2009: 12α2 (1 α)2 ‖y. j xk‖4, αR, (4.24). the last line being due to the positive semi-definiteness of =ZZT.

18 Jul 2009: 578–594. 24.

30 Nov 2009: The. 24. cubature points are indicated by dots. Derivatives of increasing order are indicated by cir-cles with increasing radius.

30 Nov 2009: 24 H. Brunner, A. Iserles & S.P. Nørsett. Figure 3.3: The number of significant digits in approximating one of the two nonzero eigen-values forKω(x, y) = cos ω(x

13 May 2009: Van,cn(α, β, nz) =. 0(t α)a(t β)cenφ(t) dt, (4.23). withφ(t) = zt log(t α) log(t β) (4.24). ... Iserles (DAMTP, University of Cambridge). 24. References. [1] Milton Abramowitz and Irene A.

13 Jun 2009: The the extension to bivariate functions was developed, without analysis,in [24, 25, 27]. ... The bivariate version of this method wasoriginally developed, without analysis, in [24, 25, 27].