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1 Sep 2011: More details on the problems relevant to k;p can befound in [1],[2],[5].Recall that Nj(t) := (tjk tj) [tj; tj1; : : :; tjk] ( t)k1+ ;so that suppNj = (tj; tjk); ... degree p such thatsuppMj;p = (tj; tjp1); Z tjp1tj Mj;p(x)dx = 1;and by!

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

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

1 Sep 2011: x) : 1(yi1) = g(yi1); 01(yi1) = g0(yi1+);ki1(x) : ki1(yi) = g(yi); 0ki1(yi) = g0(yi);and for j such that Tj = Tj ,j(x) : 8><>: (r)j ... Hence 2 S(A0i;1); A0i 2 Xj: Tj=Tj 1:Since i(x) = maxf(x); p(x)g;we change into p at most once in each T j.

1 Sep 2011: The subintervals of and their lengthes will be denoted by. Ij := (tj, tj1), |hj| := tj1 tj. ... Nj = 1, (1.1.1). Mj (x) =k. tjk tjNj(x),. tjk. tj.

1 Sep 2011: f (tj ) = g(tj ) on {a = t0 < t1 <. < tn < tn1 = b}. Then, there exists a spline z such that. ... be such thatg(tj ) = p(tj ) on {a = t0 < t1 <. < tn < tn1 = b}. Then, there exists a spline z such that.

29 Jul 2011: 1n1 00 αj. )m. ]. One computes easily that V j = qjn1/2t(Tj). ... Note that since t is analgebra homomorphism, the fact that the Tj commute implies that theoperators V j must also commute.

29 Jul 2011: BJ,TJ)) is a Borel andmaximal torus in I (resp. J). (This follows from the fact that anysmooth connected soluble subgroup of (resp. ... isogeny of I onto its image I, which is a semisimple algebraic group.Note that T/Fl = TI TJ and that B/Fl = BI BJ

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

10 Apr 2011: tJ.Se(T,Hcrit ) = Se(T,H--Hcrit ) - Se(T,H--Hcrit -). (17). where.tJ.Ms is the order parameter jump of the SM. ... tJ.Me(T ,Hcrit) = Me(T ,H--Hcrit ) - Me(T ,H--Hcrit -). (18).

6 Jul 2011: Phys Rev E Stat Nonlin Soft Matter Phys 80:041922.22. Ishikawa T, Locsei JT, Pedley TJ (2008) Development of coherent structures in concen-. ... Science 325:487–490. 43. Pedley TJ, Kessler JO (1992) Hydrodynamic phenomena in suspensions of

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.

22 Feb 2011: 18. Nandan R, Roy GG, Lienert TJ, DebRoy T. Acta Mater 2007;55:883. ... 49. Nandan R, Lienert TJ, DebRoy T. Int J Mater Res 2008;99:434.

14 Nov 2011: 25. . Theorem 5.8. Suppose P is irreducible and recurrent.Then for all j I we have P(Tj < ) = 1.

24 Jan 2011: tr](this means that σ is a product of disjoint cycles of length t1 > > tr where n = t1 tr,and some of the tj may be equal to 1.

15 Nov 2011: 3) Let Tj be the jth Chebychev polynomial. Suppose γj is a sequence of non-negative numberswith.

26 Sep 2011: Host Phylogeny Determines Viral Persistence andReplication in Novel HostsBen Longdon1,2, Jarrod D. Hadfield1, Claire L. Webster1,2, Darren J. Obbard1,2., Francis M. Jiggins3. 1 Institute of Evolutionary Biology, University of Edinburgh, Ashworth Labs

10 Apr 2011: Magar V, Goto T, Pedley TJ (2003) Q J Mech Appl Math 56:65–91.35.

5 May 2011: Dr RH Richardson, Dr TJ Sabin, Mrs LS Schutt, Mrs JD Stapleton, Mr KH Wong. ... 2002: Mr TJ Woodhams. 2003: Ms CE Jarmy, Ms DR Lovett, Mrs M Heller.

6 Jul 2011: 1. Pedley TJ, Kessler JO (1992) Hydrodynamic phenomena in suspensions of swimmingmicroorganisms.