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spn0.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/spn0.pdf1 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. -
shadrin.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/mon.pdf1 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. -
g.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/markov.pdf1 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 -
revision.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/kmon.pdf1 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. -
cond2.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/cond2.pdf1 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 -
cond1.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/cond1.pdf1 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! -
Generalized sampling and the stable and accuratereconstruction of…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_12.pdf22 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. -
DAMTP 2010/NA04 Beyond symmetric Broyden for updating quadratic…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2010_04.pdf13 Apr 2011: F(x) = 12xT{ n. j=1 100(j1)/(n1) vj v. Tj. }x, xRn. -
THE ROTARY MOTOR OF BACTERIAL FLAGELLA
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/ufk_papers/membrane_proteins/bergreview.pdf27 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, -
Physics of chemoreception
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/bergpurcell.pdf6 Oct 2011: 52 predicts for a single receptor if IJ = TJ(1 - p).
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