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19 Jan 2018: are described (at least locally) by functions such as V µ, ̇, B[µ] and ̇µ with various types. ... Hilbert space’ L2(C[B], dµ) for functions on the infinite–dimensional space of boundaryfield configurations C[B].

3 Dec 2022: to simplify a later equation). M =1. µ0. m1 m. B (7.9). ... EI. ET. B. B. BR. I. T. Figure 66: Incident, reflected and transmitted waves with normal polarisation.

16 May 2012: B′CC′ = 0 gives. Γ ABAC′σC′B′. BB′ G = 0,. where σA′B′. = ... σ(A′B′) and σab = σA. ′B′εAB. Thus the three-dimensional distribution Γ ABA(C′ B′)B is integrable and G is in its kernel.

7 Nov 2017: This is shown infigure 2 in the b f– plane for squirmers with random initial orientations. ... 32. 93.56. 11c cb b b< = - » - ( ). This number is off by about a factor of two from the results of our numerical simulations ( 1.8c,numb » - ). Sincethe

24 Nov 2023: a b = b a , (38). which simply follows from the fact that the direction of the cross product. ... a b c = b c a = c a b= a c b = b a c = c b a.

23 Jul 2009: B : b = [3/4(2n l ) ( n l)In/2n, c = 0. ... A similar conclusion applies to c, with b = 0 and m replacing n.

10 Apr 2011: III. For the moment, we can consider Ks to be roughly the average of the A-A and B-B bonding energies. ... This reflects the changeover in the ground state from A-B (R>S) to A-A, B-B (R <S).

22 Feb 2024: The Liouville equation is often written using the Poisson bracket,. {A,B} Ari.

19 Feb 2019: 2) and as a function of L and φ,. E = (a b ) AcL. ... b) Definition of the tangent angle ψ of the midline below the horizontal.

1 Sep 2011: f(x) :=. k3. i=0. αii! (x a)i 1. (k 3)! b. ... g =. {h, on [a, b) ,p, on [b, b δ].

2 Dec 2021: 0 = b1 =. B. HHb2, (S19c). where B = B(ρ) is independent of τ and z. ... Pietzsch, S. Preibisch, C. Rueden, S.Saalfeld, B. Schmid, J.-Y. Tinevez, D.J.

19 Dec 2017: T h e exact result is unity. where b = 2 in this calculation. ... f ( K ) = a l n 2 d 6 - d K b b - d f ( K ‘ ). (38) Here, a = b - d [ b d - 1 - d ( b - l)] is the fraction of decoupled

24 Sep 2014: This is evaded by:. (a) Confinement for gluons. (b) Higgs mechanism for W,Z. ... 20 c c = b20 b b = 1. Thus we see that the left action of g defines an.

22 Feb 2021: b) Expansion at order O(ε). We now expand the incompressibility condition further, finding. ... 48), we infer. w(1) = v(1), c(1) = (a(1) b(1) ), (52a).

21 Oct 2020: Thus, the linear system Au = b can be written explicitlyin the block form. ... 25 / 28. Splitting of inhomogeneous systems. Note that our analysis should accommodate b = b(t ), sinceboundary conditions might vary in time!

27 Jan 2010: caωb δ. cbωa, a,b,c = 1,2,. ,n. for some one-form ω = ωadxa. ... a,b]Xc = RcabdX. d. and can be uniquely decomposed as. (7.43) Rcabd = δcaPbd δ.

23 Jan 2018: 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).

17 Jul 2013: Phys. J. B 12, 589 (1999); K. D. Danov,R. Dimova, and B. ... 99, L44 (2010). [11] A. R. Honerkamp-Smith, B. B. Machta, and S.

23 Feb 2011: Rotation of particles – rigid and dilute. Spheroid: axes a,b,b, aspect ratio r = ab. ... with A,B,C material constants depending on shape but not size. A B C.

1 Nov 2018: Note that. [A0, B0] = [U 1AU, U 1BU ] = U 1[A, B]U , (4.15). ... 26 –. where in the second equality we used the fact that a b = b a, stating that the order.