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4 Jan 2011: The total energy wasconserved up to one part in 105 for millions of time steps.Each time step was = tj1 tj = 10. ... 0 I , 6. C = I 0 2. Htj1 I , 7composed of s s blocks, where = tj1 tj is the time stepsize, Tkl = kl / mk, kl is the Kronecker delta, I is

15 Sep 2011: Now. Z7ji, i- 1) =tj(i, i - )c(y) hj(i, i - 1). ... 1, O)]/[tj(1, 0) X-'] < oo.).

13 Apr 2011: F(x) = 12xT{ n. j=1 100(j1)/(n1) vj v. Tj. }x, xRn.

27 Jul 2011: J(p, q) TJ. (p, q) T. p. q. 2 (2.19). (p, q) T.

13 Apr 2011: i. j. [h(xi ,tj ) f (xi ctj )]2, (2). where h represents the thickness recorded at discrete positionsxi and times tj.

15 Sep 2011: P, = m, o(6). (3). PROOF: Suppose that we observe the contents of the buffer at the ends ofepochs (tj]1L_„, where t-, = / [ £ / £ ] , for some £ > 0.

9 Nov 2011: Annu. Rev. Cell Dev. Biol. 2011.27:25-56

1 Sep 2011: 2. Condition number and related constantsLet fN̂jg be the B-spline basis of order k on a knot sequence t = (tj), tj < tjk,normalized with respect to the Lp-norm (1 ... p 1), i.e.,N̂j(x) = (k=(tjk tj))1=pNj(x);where fNjg is the B-spline basis which

10 Apr 2011: R E S E A R C H A R T I C L E. Fluid dynamics of self-propelled microorganisms,from individuals to concentrated populations. Luis H. Cisneros Æ Ricardo Cortez ÆChristopher Dombrowski Æ Raymond E. Goldstein ÆJohn O. Kessler. Received: 13 February

12 Jul 2011: Representation Theory. Lectured by S. Martin. Lent Term 2009, 2010, 2011. 1 Group Actions 1. 2 Linear Representations 3. 3 Complete Reducibility and Maschke’s Theorem 7. 4 Schur’s Lemma 10. 5 Character Theory 13. 6 Proofs and Orthogonality 17. 7