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2 Oct 2009: algebra. 1.2 Show that the following sets of subsets of R all generate the same σ-algebra:(a) {(a, b) : a < b}, (b) {(a, b] : a < b}, (c) {(, b] : b ... cn, } are. independent. 1.8 Let B be a Borel subset of the interval [0, 1].

10 Aug 2009: a+(BA)/γ. dx. b a. B. A. dy. B A. b. b(BA)/γ. ... I(0) =. i. αi. ai+(BA)/γ. ai. dx. B. B(xai)γ. dyfU(y) ln.

8 May 2009: Table 7: Comparison of dimensioning procedures. Carrier Direct routing. Bundle B = 0.01. ... B b ir eJ d 'Ii. iI.

2 Oct 2009: 2 )dx 0. 3.8 Let u and v be differentiable functions on [a, b] with continuous derivatives u′. ... and v′. Show that for a < b b. a. u(x)v′(x)dx = {u(b)v(b) u(a)v(a)}.

24 Jul 2009: Theorem 5.2. Suppose that is such that for some b > 0 the inequality. ... sinh b/2)2. 2 log cosh(b/2). ) δ(k, τ ). where g(, τ ) is the 2b-periodic function whose restriction to the interval (b, b] is given by.

24 Jun 2009: b. c. g. g. g. Figure 1. Three examples of colourings for given B B, G F. ... Let A K be a finite setof sources, and let B B, G F.

22 Jul 2009: Such aninterval exists because p0 is bounded and continuous. Set I = [a, b] and define. ... ω2δm (φ). Using the last two estimates, (20), (24) and that |a/α b/β| α1|a b| |b|(αβ)1|β α| we obtain.

26 Apr 2009: Broadband trac and statistical sharing a Eective bandwidths b Multiplexing models c Charging mechanisms. ... grows the probability B approaches a solution of the equation. B E B BC.

2 Jul 2009: RANDOM GRAPHS WITH. FORBIDDEN VERTEX DEGREES. GEOFFREY GRIMMETT AND SVANTE JANSON. Abstract. We study the random graph Gn,λ/n conditioned on theevent that all vertex degrees lie in some given subset S of the non-negative integers. Subject to a