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25 Feb 2016: we have denoted b b/, a a/ and R0 r(s1) r(t1). ... small parameters and then asymptotically matched. In the case of a ribbon, two small parameters arepresent, namely, b/ = b and a/ = a.

30 Dec 2019: B) To construct an explicit class of solutions of the SU()-Toda equation. ... This may involve a Z-dependent affine transformationof (X,Y). Implementing the steps 1–4 on MAPLE we find that if A = 0, and B = B(y) is arbitrary, then the

14 Jun 2014: andcells of opposite type B! The vertical line indicatesthe effective radius of the central dip Rodieck,1991! ... B! Like A, for the W81S1dataset. Again statistical independence is rejected P 0.006!

12 Aug 2016: iAb- V b ) B = p( Y b , (3: 9,) Y a ) A. ... A = A , e(a-i[l-yl) t , B = B, e(ai[l-yl) t (2.43).

21 Apr 2018: Remark 1 Note that another variant of the splitting can be obtained by swapping thechoices of A and B. ... Comput. Phys. 230(15), 5930–5956. Compact schemes for laser-matter interaction 13. Amstrup, B., Doll, J.

30 Oct 2019: f. (. b. )ZA,b. b=0. (1.112). 12. We can simplify this straight away by substituting in our previous result (1.104). ... b̄,. b. )ZB,b. b=0. (1.122). One finds that⟨ziz̄j⟩ = B1ij , (1.123).

25 Jun 2004: 15. EVOLUTION OF RAREFACTION PULSES INTO VORTEX RINGS PHYSICAL REVIEW B 65 174518. ... Phys. A 15, 2599 1982! 7 B. B. Kadomtsev and V.

16 Nov 2020: Specifically, instead of letting(A B )x(k1) = B x(k) b, we let. ... We can convert the above system to the symmetricand positive definite setting by defining A = BT B , b = BT c andthen solving Ax = b with the conjugate gradient algorithm (orany other

8 Mar 2016: F |B〉 = |B〉 , ()F |F〉 = |F〉. This new operator ()F anticommutes with Qα since. ... multiplet there are states of different spin). 2.4.4 Parity. Parity interchanges (A, B) (B, A), i.e.

30 Jul 2010: 277]. Here is simple sufficient condition for H(b) and H(̃b) to bein the trace class. ... t) =12π. (i)2. (it)2. (ξ2b(ξ))′′eiξt dξ,. which shows that. |t| |′′(t)|2 dt <. (19). As b′, b′′, b′′′ are in L1 and have zero limits at

12 Oct 2022: cosmological solutions. You should consult an introductory book (e.g. Gravity by J.B. ... Let Xa,Y b be non-zero vectors at p that are orthog-.

19 Jul 2019: A(x, t),. E = r @A@t. and B = r A (1.1). ... A natural choice is symmetric. gauge. A = 12x B = B.

26 Jul 2013: a). (b). (b) (c). (d). (c). (d). 1. 2. FIG. 8. ... New York, 1992.10 B. Chen, P. D. Wu, and H. Gao, Proc.

8 Apr 2010: φA B = 1V. T B′. A B B′ V. From the Killing vector identity. ... We are assisted by an identity obtainedfrom the Bianchi identity. A A′ ψA BC D = B′(B φ A′C D)B′ (337)= 3.

26 Feb 2008: Hence E = 1. 2mV 2 and h = V b (because h = |r ṙ|);. ... Φ, Φ δΦ). Let. k =qQ. 8π0E. so that. b = k cot 12Φ,.

23 Apr 2021: ei(kq)a/2 r. 1. k. q. ei(kq)a/2. B = t. 1. k. ... b = R sin. 2. 2. = R cos. 2. If b > R, clearly there is no scattering.

6 Feb 2019: Extracting B physics from lattice simulations via. lattice perturbation theory. Chris MonahanHPQCD Collaboration. ... nrqcd prop(k p,k p; a, a). J(0)0. hisq prop(k p′, k p′; b, b).

14 Feb 2023: 2ffiffiffiffiffiffibBp. =ar and g = (b/B)1/2 = ((B 1)/2B)1/2 Z 1. ... 7A and B) than itdoes for rod-like swimmers (Fig. 7C and D).

21 Jul 2009: J. HINCH’ A N D B. S. BHATT? Department of Applied Mathematics and Theoretical Physics, University of Cambridge,. ... Hinch and B. S. Bhatt. 1.6 I 1 1.4. 1.2. I.

17 Jan 2008: a.b = b.a = a1b1 a2b2 a3b3 , (0.7a)a b a b = b a (0.7b). =. ... 0.8). Alternatively, if a = |a|, b = |b| and θ is the angle between a and b, then.