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15 Apr 2010: The objective function (stated in the first row) is always maximized by lp_solve. ... mode, all intermediate results are printed, and the branch-and-bound decisions -p print the values of the dual variables -b bound specify a lower bound for the

16 Aug 2010: independent and identically distributed) real. random variables on some probability space (, B, P) and ϕ: Rd R is usually referredto as a “bump” function. ... 1.10). (E3) Uniform Hölder continuity:1 There exist constants a, b > 0 such that for

24 Mar 2010: One can regard Proposition 1(b) as saying that a multidimensional density islog-concave if the restriction of the density to any line is a (univariate) log-concave function. ... In examples (a) and (b) above, θ(f) may also be written as afunctional of

9 Feb 2010: where A is the set of edges of G with exactly one endvertex in A, and ZB,q isthe partition function of the random-cluster measure on the subgraph inducedby B ... σy = 1 for y x Λa). is a non-decreasing function of a.

12 May 2010: For each of the following functions specify the set Y of λ values for which the function hasa finite minimum in the region specified, and for each λ Y find the ... x5 and of the objective function for all basic solutionsto the equation Aex = b.

26 Feb 2010: Given the model P (t, ζ, D), the(log)likelihood function is given by. ... Furthermore, the function Ln() is continuous on PH (t, ζ, D)w.r.t.

10 Nov 2010: In order to apply the homogenization technique we firstly have to choose the function b(x,y).In this example Xt = (ξt. ... We seek to find a new coordinate function x2 on the state space of the form.

26 Oct 2010: We call function B B (v, w) 7 DL,u(v, w; E) the discretized Green function forHC. ... The same definition is applicable for C(u) yielding a function. B(u) B(u) (v, w) 7 D,u(v, w; E), where B(u) := C(u) ZN d.

19 Nov 2010: x i)r1+. (r 1)! For r = 2, this is the linear B-spline (the usual ‘hat’ function), for r = 3, it is the quadratic andfor r = 4, it is the ... Lemma 1. Let {Nk,r }kZ be the Riesz basis of B-splines of order r 1 and let φr be the associ-ated

16 Aug 2010: E4) Uniform marginal control of F(yBcs. ): the conditional distribution. function F(yBcs. ... We see that under the above assumptions upon the box BL(u), the function.