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21 Jan 2015: Using (2.14a,b) to evaluate P1 and P2 in (2.11), we obtain. ... its asymptotic value isdependent on all the parameters M, B, D and XF.

15 Jul 2011: 12 f ). Allow fora sloping bottom boundary z = b(x, y), taking care to distinguish between the layer depth h andthe free-surface elevation ζ(x, y, t). ... b = b(y) =. {. ǫa, y > aǫy, |y| < a.

16 Aug 2023: a (b c) = (a c)b (a b)c. (0.11e). Line integrals. ... Further examples. (i) As another example consider the equation (a b)c = d.

8 Nov 2015: Let E B and F B be closedsubspaces of a Banach space B. ... Pk(T z)Pk))2nPmH. (6.2). 13. and the fact that for self-adjoint A,B B(H) we have dH(σ(A),σ(B)) ‖AB‖ it suffices to show

10 Jul 2009: away from the (collapsed) numerical results. and secularity is averted at order O(β1) if T0 B 0, whence B = B(T1) and. ... B(T ) ={. 1 T. 24β. }1/2. (5.2). Thus, for T 1,.

8 Dec 2014: Hence from eqn. (23) we have. λ2 (2z cosh B) λ (z2 z2) = 0=. ... To encode the magnetic field dependence we use B = h/kT as defined.

1 Sep 2011: 2.2.2 The matrices B, B′, C. Setyν := D(hν )qν, ν < N; yN := D(hN1)qN,. ... By definition (2.2.9),. C := CNν := ADγ1ADγ2 ADγN ν A,B := Bν := ADδ1ADδ2 ADδν ,B′ := B′ν := D0BD0,.

5 Jun 2013: above, i.e. compass-wise, in the northern hemisphere, corresponding to up-. ward B. ... waves. The background rotation and azimuthal magnetic field B point. toward the viewer.

7 Apr 2017: M i t 25 T e x t a b b i l d u n g e n. ... die GELEIschen A b b i l d u n g e n fiber Paramevium-Ln'gssehnitte m i t d e m y o n WETZET, a n Flaehschnitten.

6 Oct 2014: or eAA′and the dual vector fields by a or AA′, where a,b,. = ... We choose a nulltetrad eAA. ′of TM, in which. g = εABεA′B′ eAA′eBB. ′=

17 Jun 2019: a = a(x;y;t); b = b(x;y;t) ; (2.4). when inserted into (2.2), expresses h(a; t) as another function. ... the general 2-dimensional Monge{Ampere equation. A B 2C D& E(&. 2. ) =

19 Jun 2014: m & µ(U) N s (1 log(1/)) log(N), [ 2 ]. (a)(a) (b)(b). (c)(c) (d)(d). Fig. 1. (a) 12.5% uniform random subsampling scheme, (b) CS reconstructionfrom ... b}. The kth relative sparsity is. Sk = Sk(N,M,s) = maxzΘ‖PNk1Nk Uz‖.

3 Sep 2009: Bernard, B. Hambrecht, P. Lugan, D. Clement,L. Sanchez-Palencia, P. Bouyer, A. ... Rev. Lett. 101 (2008)080401. [65] Th. Anker, M. Albiez, B. Eiermann, M.

10 Jul 2009: Combination Particles Fluid Tube ξ(0.1)1 A a 1 2.302 A b 1 2.153 D a 1 3.354 B a 2 1.805 B b 2 ... 30 2.84 0.02 0.615 0.590 0.5455 B b 2 16 17.4 0.40 3.65 0.10 0.600 0.565 0.5206 C a

2 Oct 2016: b. B( 41t'l. kT -KL. fJ. kT 2 [' 2 Jb 4 -;] K- 2 ,B-ln (I-e) 2 roo. ... Values of b that were derived in the previous section are listed in Table 1.

29 Jul 2017: AB =.  0 11 0.  and A′B′ = 0 11 0. ... kernels of the span of the frame eA′B′C′D′. 30 CHAPTER 2.

24 Jul 2018: a)(a) (b)(b). (c)(c) (d)(d). Fig. 1. (a) 12.5% uniform random subsampling scheme, (b) CS reconstructionfrom uniform subsampling, (c) 12.5% multilevel subsampling scheme, (d) CS ... b}. The kth relative sparsity is. Sk = Sk(N,M,s) = maxzΘ‖PNk1Nk Uz‖.

11 Dec 2017: F Y Y G1 m b J b —B = a Positive quantity. ... A S x KS l > J p - B’<P$d eb a y - k.

10 Jul 2009: a) Gravity acts on the fundamental mode to create the firstharmonic in (b). ... b) Capillary pressure gradients act to create the phase-shifted first harmonicin (c).

3 Oct 2008: a b) (c d) = (a b)i(c d)i= (ǫijkajbk)(ǫilmcldm). = ǫijkǫilmajbkcldm. = ( ... Eliminate E:. 2B. t2= E. t= 1. µ0ǫ0 ( B). Now use the identity ( B) = ( B) 2B and Maxwell’sequation B = 0 to obtain the (vector) wave equation.

4 Nov 2013: ηN =[. 2π 1. 0. f0. s[ B f (y), z]yd zd y. ... s0( f B) B f (33a)and. F( f B) 2. 4(2 ) ( f B)3 , (33b).

27 Jun 2010: In such a basis, a full 2. PHYSICAL REVIEW B 81, 235302 2010. ... with the analogous equation for R following by replacingL R and B B.

27 Jan 2018: d B dB' _ - B --B '. Aus dieser und aus der zuletzt gefundenen Gleichung folgt aber J = J '. Es ist somit erwiesen, da0 J weder von F noch von. ... 8 (P 4 - B Gmmm a x. oder a v - D- 8 X.

4 Nov 2013: the current first reaches the sink, as illustrated in figure 2(a, b). ... B). The results of this more detailedmodel are also shown in figure 6.

20 Dec 2013: a µ, b ν etc.). For example, consider the quantity ηaXa in theabstract index notation. ... Aµνfν, e′µ = B. νµeν (2.25). for some matrices Aµν and Bνµ.

24 Aug 2009: 3A(sin4 8, sin 24,) - 2(A - B)(sin28, sin 24,)}, of, = of. = ... A , B, F, 211, would not be related to the particle aspect ratio in 6he manner described for spheroids.

2 Sep 2012: are close (a) to each other; and (b) to the predictionsof continuum diffusion. ... Dk T. a= B. eff6ph. D Mµ -1 3. t pspreading = ( )a D2 22.

4 Nov 2013: vf (x, t) = kf. μ. ρg(h b). b= φγ kf. ... xf = 11 cm. Balance Balance. PumpW = 1.1 cm. b = 2.1 cm.

10 Oct 2011: D(g) =(D̂(g) B(g). 0 C(g). )for u =. (û0. ), (1.19). ... v1,v2) a. (e2πki. n v1,e 2πki. n v2) = (v1,v2)A, (v1,v2) b.

5 Oct 2013: The degree ofan operator A B(H) is defined by. deg(A) = supn1. ... Let A B(H) and let {ej} be an orthonormal basis for H.

22 Jul 2010: Further properties of J and K j j. Appendix B. Derivation of theorem I. ... v?,, = (v,tF (v,jF q , t , m,i = (v,$ q , i 9 (2.4u, b ). B(x, t ) = x E(X, t ) , (2.6). (vii) The mapping (2.2)

3 Mar 2020: Let A have r = rA and B have r = rB where rB > rA. ... Now imagine that we are considering light waves propagating from A to B.

30 Aug 2014: b) An organism flapping its straight rigid tail (recip-rocal motion) cannot swim either. ... 1.18a) gives B = U2 = 1/2. Therefore, the second-order solution reads.

9 Sep 2014: Figure 1. Sketches of microscopic swimmers, to scale. (a) E. coli.(b) C. ... In fact, symmetryimplies that the swimming speed U must be an even functionof b.

13 Jul 2009: As a model problem we take. %(x) = U_[l - exp( -x/b)], (1). ... As indicated above, to make the calculation tractable we shall, however, assume that b B a so that the flow is almost unidirectional almost everywhere and lubrication methods can be employed.

28 Nov 2014:   . 2. 0. B. b. k T. gt   2. ... Polymer cannot reach a new equilibrium configuration during translocation of each segment b. •

10 May 2012: Recall that. φ(x, k) = a(k, t)eikx b(k, t)eikx as x. ... anda(k, t) = a(k, 0), b(k, t) = b(k, 0)e8ik. 3t.

11 Jun 2011: RoDuDt. ez u = p′ αϑ ϑ ez αµ µez ( B) B Ek2 u, (3.5). ... µ. r+. 1. r. z(B2φ) r B. ([ B]φ. r. ), (3.15).

19 Oct 2013: ê -K5ø¥HF é öF ëLð @ é @ ò D@CK í F ë9þÁê øÒø ûK?îKpñ-K5ø ò-í K5î , ð ê @)ø¥H BED þÁé öF9ù ò øÒø òþÁë5ý B ëLé ö- ... ýí é H ëLê @pö-øö-Dî@ é K óê @pö-øF éê D ê D7üÿ/ö-DîøÒöFWKpJö-øF

14 Jun 2014: G G. P. B B - B. A. P PONL. INL. ... whereas those dendrites stratifying in sublamina B belong to on-centre ganglion cells.

26 Sep 2005: Let us compute the commutator of twosuch vector fields F(A,a) and F(B,b). ... Thus. [F(A,a),F(B,b). ]= F(C,c), where (C, c) = (AB BA,Ab Ba).

19 May 2020: 126. [20] B. Hunt, J. Sanchez-Yamagishi, A. Young, M. Yankowitz,B. J. ... 23] L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, O.Manela, and M.

24 Jun 2014: a] [b], b R(B1). Definition 2.5 (Optimal ordering). Given the setup above, then any element of the optimal equivalence classis called an ‘optimal ordering of the basis pair ... Theorem 2.14. Let U B(l2(N)) be an isometry. ThenN µ(QNU) diverges.

8 Nov 2015: Let E B and F B be closedsubspaces of a Banach space B. ... Pk(T z)Pk))2nPmH. (6.2). 13. and the fact that for self-adjoint A,B B(H) we have dH(σ(A),σ(B)) ‖AB‖ it suffices to show

6 Nov 2007: a) h = 0. Find|A2|2A4. |t|2. (b) t = 0 = A2 = 0. ... Then from section 3 equation (25) we find for small t and B.

7 Oct 2014: An interesting result is the restriction of class B metrics due to the diagonalisability. ... isomonodromic construction to study a particular class of ASD non-diagonal class B.

23 Sep 2008: a) 0. (z) (time integrated) Final I. (b) D. Fig. 2.

21 Mar 2013: from the start of the alphabet (e.g, a,b,c,. ) take values 1,. ... dx , as before (we note here that A, B, C and D, defined by (2.9).

27 Oct 2010: We show Da exists and equals. Let F(s) = f(t;a s(b a)). ... x @j@tj Y (x;0) B(x;0)= PA;jyj(x;0) B(x;0).

6 Jun 2012: Followingthe approach in the previous example this suggests that we consider B increasing from. ... In particular we. seek the smallest value of B for which σ = 0.