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18 Jan 2020: 3.1 SQM with a Potential 22. 3.1.1 Supersymmetric Ground States and the Witten Index 24.

8 Sep 2020: f (ξ ) = R3δ(ξ R1 ), (24)and so the flow is simply given by. ... 24] using a solution obtained with the use of flow potentialsand sphere theorems.

17 Nov 2020: rL, (24). which is the same estimate as the one dimensional case for boundedd. ... The network weights are providedby the authors of [57] and had been trained on de-identified brainimages from the MGH–USC HCP dataset [24] where the image.

28 Sep 2020: u1 =1. 2b(3 4 cos φ cos(2φ)) (4.24). Show that the angle at which the particle escapes to r = is now, approximately,.

6 Jul 2020: magnetic,5 electrostatic,18 or hydrodynamic forces.24 In recentyears, synthetic swimmers actuated by external fields, chemicalfuels or bacteria have been attracting attention and been employedsuccessfully for the transport of cargo ... 23 See ESI†.24 A.

9 Nov 2020: criterion. So, you need also to prove that ρ(D1(AD)) > 1.]. 24. ... Further, show that if one Jacobi iteration isperformed, then u3,3 = 23/24 occurs, which is the estimate of u(1/2,1/2) = 9/8.

11 Mar 2020: 4.6 Monodromy: the reason for the logarithmic term in the solution. Recall that forw′′ p(z)w′ q(z)w = 0, (1). in the vicinity of a RSP at z = 0 (WLOG - other points obtained by translation),there exist two linearly independent solutions of (1),

2 Feb 2020: Since. and. ux= [ rx i&r] exp(W,. 24 xx = [ 2irx+, rxx i+,,r - (x)2r] exdih. ... U, = 24, e,_, Sl_le,_2. S,‘e,. Now, for kc n define r&= (AZ)-2e,, and #k= ,S$#Q_, and put 4, = (AZ)-2e,_,.

8 Nov 2020: Instead, both (1.23) and (1.24) are best thought of as integrating the 2-form Fµ over. ... Armed with (1.23) and (1.24), we see that, at least for this specific example,.

5 Oct 2020: Pi<j ij. = : eA1+.AN : eP. i<jh0|AiAj|0i (6.24). Taking the expectation value of both sides, we have our final result.