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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

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.

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

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

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

10 Apr 2011: Nature 2001; 413: 39–44. Wilson DR, Beveridge TJ: Bacterial f lagellar fila-ments and their component f lagellins.

20 Jun 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

27 Sep 2011: Insights into the Evolution of Vitamin B12 Auxotrophy fromSequenced Algal Genomes. Katherine E. Helliwell,1 Glen L. Wheeler,2,3 Kyriacos C. Leptos,4 Raymond E. Goldstein,4 andAlison G. Smith,1. 1Department of Plant Sciences, University of Cambridge,

22 Nov 2011: Tj(x) = cos(j arccos x), j = 0, 1, 2,. ,. and c0 = 1π , cj =. 2π , j 6= 1. ... Given that the polynomials Tj are orthogonal with respect to the weight.

10 Apr 2011: J. Phys. II France 6 (1996) 767-796 MAY 1996, PAGE 767. Front Propagation in the Pearling Instability of Tubular Vesicles. Raymond E. Goldstein (), Philip Nelson (), Thomas Powers (>)and Udo Seifert (). () Joseph Henry Laboratory of Physics,

10 Oct 2011: PART I: Symmetries and particles. NOTES BY PROF. HUGH OSBORN. Books. Books developing group theory by physicists from the perspective of particle physics are. H. F. Jones, Groups, Representations and Physics, 2nd ed., IOP Publishing (1998).A fairly

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

10 Apr 2011: Continuum theory of critical phenomena in polymer solutions: Formalism and mean field approximation. Raymond E. Goldstein Laboratory of Atomic and Solid State Physics and Materials Science Center, Clark Hall, Cornell University, Ithaca, New York

6 Oct 2011: 52 predicts for a single receptor if IJ = TJ(1 - p).

1 Sep 2011: APPROXIMATION THEORY:A volume dedicated to Borislav Bojanov(D. K. Dimitrov, G. Nikolov, and R. Uluchev, Eds.)additional information (to be provided by the publisher). Twelve Proofs of the Markov Inequality. Aleksei Shadrin. This is the story of the

27 Nov 2011: THE ROTARY MOTOR OF BACTERIALFLAGELLA. Howard C. BergDepartment of Molecular and Cellular Biology, Harvard University, 16 DivinityAvenue, Cambridge, Massachusetts 02138; email: hberg@biosun.harvard.edu. Key Words Escherichia coli, motility,