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3 Apr 2018: B The group GC0 105. C Frobenius manifolds and hydrodynamic-type systems 107. ... C. (|Dφ|2. Dφ2)]ωΣwhere. B = 2ifww/is the magnetic field on Σ.

12 Aug 2016: q1 =b‖b‖, q̃i1 =Aqi. ij=1. qjqTj Aqi‖qj‖2. qi1 = q̃i1/‖q̃i1‖ i 1. , ... The iterations are continued until. ‖AδXn b‖‖b‖ =. ‖Dzn pn1‖‖pn1‖. = | pn1(n 1)|‖pn1‖6 tol (3.20).

7 Aug 2007: n). In other words, CA is defined by the relation. ν(adAB) = CAν(B), B so(n). ... 8] A. Iserles. A Magnus expansion for the equation Y ′ = AY Y B.

30 Sep 2004: ψ̂ =. . . . . . A sinh(2kb).ek(yb) (y > b). ... A sinh k(y b) B sinh k(b y) (b < y < b).

10 Apr 2011: e c o n d , o n l y states o f a class l a b e l l e d B (for " b u b b l e " o ... e r u n i t l e n g t h o f a l o n g b e a d o r b u b b l e

3 Dec 2017: B. 51 75 72 80 85 85. 1OSBD. 36 37 33 34 32 33. ... U n d e r the circumstances it seems to me best to express the connexion between D and B b y an empirical equation, n a m e l y : - -.

3 Oct 2023: Scalar product properties:. 1. The scalar product is commutative,. a b = b a , (24). ... a b = b a , (38). which simply follows from the fact that the direction of the cross product.

23 Jul 2009: with the three shape constants. a = $ ( B 2 - B 1 ) , /3 = # ( B , B l ) and y = 4B3. ... At O ( B ) , the variation in q5 a t O( 1) drives harmonic oscilla- tions, i.e.

17 Sep 2022: τ (0, 1), ϵ > 0, δ > 0, J , F, A,B, b Y1 , and n N.1: Set ω0 = J (0) F(0) C2bY1 (or an upper bound) and compute ωj = ... τ (0, 1), δ > 0, J , F, A, B,b Y1 , and n N.1: Set ω0 = J (0) F(0) Ĉ2bY1 (or an upper bound) and compute ωj = e.

3 Jun 2015: colo. nies. q. (b)(a) (c). (d ). Figure 1. Volvox geometry and flows. ... p6. p3. p2. p6. p3. p2. p6. p3. p2. b b b.

14 Jun 2014: s e q ( f =5 , t =1) ## a b b r e v t a g s. ... 1 ## i n c r e m e n t j b y 1. •

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‖.

6 Feb 2019: b b. q q. Γ3. {τ(Bs)/τ(Bd). Γs. b b. Γ0. . ... 2004: Greub, A.L., Nierste; 2008 A.L. E1. d. b. d. b.

3 Dec 2017: for the first clear one located close to reservoir B—ultimately break up into lines of periodic spots [Fig.1(b)]. ... Reactants are fed through the well-mixed reservoirs A and B (b) Contrast-enhan.

4 May 2010: p′0,0 =. (. 0 1k b. ). p0,0, p0,0(0) = x(0),. ... b. b. lθ(t). y(t). 1. Figure 4: The inverted pendulum. The top position, corresponding to θ = 0, isunstable, but can be rendered stable by adding a fast vertical

19 Oct 2013: Km F6 =I QK 6{ K! x== F6Z? ] =4-<4- 0#B6< =I ]? {? 4g :I KK 0 B"L UBJÔ< =;:I KK ITIT B XABUBJÔ<? ... B"K J5,.#G?=II:; IRÂ0==IIKmG KrKÝG= #g 4< X8 K 4- 'F,.#.=II.

23 Jul 2014: b0 0 1. b1 0. ,. where b = ( ,b1,b0,b1, ) {1}Z is a pseudoergodicsequence. ; ... every finite pattern of 1’s can be foundsomewhere in the infinite sequence b.

26 Jul 2013: a) (b) (c). 0 1.0 0 1.0–1.0. 1.0. FIGURE 2. Trajectories, ξ(t), of surface material points for stroke A (a), stroke B (b), andstroke C ... a). (b). (c). (d ). (e). ( f ). 0 1.0 0 1.00 1.0.

25 Aug 2021: 2. )= R cos. θ. 2. If b > R, clearly there is no scattering. ... dσ. d=. b. sin θ. dbdθ = ( A4E. )21. sin4(θ/2)(1.22).

10 Feb 2023: defined by η. If this condition fails, then there are points a,b as shown on the right in Figure. ... Proof: Let the metric take the form. ds2 = A(r)2dt2 B(r)2dr2 r2dω2d1.

16 Apr 2021: D : (3 ττ ) kiki , (4.24)b K : (3 ττ ) 2biki b kkiki 2kikibjkj. ... B′ = B B = 0 δu′ = δu δu = 0 , Ci Ci = 0.

26 Jul 2013: a) (b). b/a = 1/2. V (e). qΩ. V (e). qΩ. ... n 1 Anan2. n 1BnanPn1. 49. B. Efficiency and optimization of an entirelyporous sphere.

10 Nov 2009: FIG. 1. Concentration profile vs normalized height z / H for particles of batches A a, B b, D c in the cell having a cross section 10 10 cm2, and C ... FIG. 2. Time evolution of the velocity fluctuations w open symbols and the concentration gradient ad /

4 Nov 2019: A Life in Mathematical Science. Part I: Growing-Up, Student and Postdoc Years. Nicholas Stephen Manton FRS. Department of Applied Mathematics and Theoretical Physics,. University of Cambridge,. Wilberforce Road, Cambridge CB3 0WA, England. March

26 Apr 2018: Exercises. Matlab has multiple multiplications. As an exercise try the following:>> A=[1,2]>> B=[-3,-4]’>> E=[5,-6];>> AB>> BA>> A.B>> B.A>> AE>> EA>> A.E>> ... However, normally a b = b a and ab = ba.

29 Sep 2007: B) Fixed head; position is fixed only. (C) Freehead subject to a viscous load. ... J. Brokaw, Proc. Natl. Acad. Sci. U.S.A.72, 3102. (1975).[5] C. B.

22 Sep 2016: a) Diaphanoeca grandis cell grown in þGe ASW. (b) Stephanoeca diplocostatacell grown in þGe ASW. ... A. A B. B. 1.63. 9 Å. 1.639 Å. 1.631 Å.

13 Oct 2020: Propriétés. Proposition 9 Soit A et B Mn(K), det(AB) = detA detB. ... Soit T (B (TA)) = A TB = 1 TB = A1 soit B =T(A1).

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,.

17 Apr 2021: Preprint typeset in JHEP style - HYPER VERSION. Statistical PhysicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,.

10 Apr 2011: 3(a) and 3(b). Since the BB bonding is stronger than that. ... n A, with M = 1. j It) tiJ: e/eB et/eB A A 200 1 0.15 -4.2 B B 200 1 0.15 -7.2 A B 200

11 Dec 2017: A B B, ,-------_. D a C, Consider the prism AC in motion relatively to the ether in direction AB with velocity 0. ... the velocity in the free ether; or if f1= then t=fla b.

8 Mar 2012: b) Pψ(x) = λψ(x) and P 2ψ(x) = ψ(x) λ2 = 1. ... This gives. Aκ cos κa. A sin κa=. B k cos (ka δ0).

8 Jun 2013: a. b. c. e. f. g. d. HoloceneYDB–AODLGM. Figure 4 | Hemispheric temperatures. ... 33. Stephens, B. B. & Keeling, R. F. The influence of Antarctic sea ice on glacial-interglacial CO2 variations.

25 Aug 2022: Preprint typeset in JHEP style - HYPER VERSION. F́ısica Estad́ıstica. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences. Wilberforce Road,. Cambridge, CB3 OBA, UK.

10 Apr 2011: 21<b). B. Hydrogen bond strength. With the proviso given above for the interpretation of the trends in the parameter R, given our simplified fitting procedure, we can still make several ... C. Wheeler, and B. Widom, J. Am. Chem. Soc. 90. 3064 (1968); J.

26 Jul 2023: A and. B are both self-adjoint and that. Bis positive and invertible. ... We take the completion of this space,. HB1. D(B) is dense in.

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.

14 Jun 2014: The lengths of processes 1,2 and 3 are plotted over time in (B). ... Theboxed region is enlarged in (B); (C) is a 90 degree rotation of (B).

5 May 2015: Θ′(h) = dexp1Θ(h)A(h) =. m=0. Bmm! admΘ(h)A(h), (2.4). where Bm are Bernoulli numbers and the adjoint map is recursively defined by ad0A(B) =. B, ... adk1A (B) = [A, adkA(B)]. Magnus (1954) resorted to solving the dexpinv equation.

14 Jun 2014: Wave propagation is much slower. S25 A, B, andD exhibit complicated, “zigzagging” propagation patterns. ... B,GABA-induced wave in a DR4 retina (conventions as in Fig. 6 B).

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

7 Apr 2021: A natural choice is symmetric. gauge. A = 12x B = B. ... B = 0. Third, this particular Maxwell equation would appear to be non-negotiable.

13 Apr 2007: The degree ofan operator A B(H) is defined by. deg(A) = supn1. ... Let E B and F B be closed subspaces of a Banachspace B.

18 Nov 2010: The concept in a more relaxed form. 176 B. H. Zimm and S. ... 1987) and by Jonsson et al. (1988). 188 B. H. Zimm and S.

14 Jun 2014: M. Grzywacz, J. Neurosci., 1994, 14,. 7426–7439.34 M. B. Feller, D. ... Shatz, Neuron, 1997, 19, 293–306.35 K. B. Godfrey and N. V.

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.

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).

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.

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