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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,

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 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

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

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,

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.