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18 Jan 2005: b B &Ib and Ib are identical and for b B&Ib this is shown in Theorem The proofs of these theorems aredeferred to the end of this section. ... x 't rt '. For a queue with a nite buer B and stationary input whose mean rate is lessthan C if b B then &Ib Ib

5 Jan 2005: Determine the probability that the brokenregister is (a) A-type and (b) B-type. ... b) What is the probability of obtaining at least two sixes when 12 dice are thrown?

3 Jun 2005: . . Exercise 2 Give a MATLAB expression that uses only a single matrixmultiplication with B to obtain. ... a) the sum of columns 5 and 7 of B. (b) the last row of B.

9 Aug 2005: E B P B3R. ª. ª. « ªU ª. NG1µKxºG=»0E31"µ. ¿ "TiÀyÁ ¿ i3ÂRÃ1:Á. ... $%&#$%& B3J BRJ @J @Jz! #T ; @ J@ @ R@J"B BBJ@ R@J"B81M"7pkmK$%& @@J @ J BB:J J.

9 Aug 2005: Cluster A. Centroid B. Hyperplane. Centroid A. a) Simple joining of centroids, assuming ellyptical distributions. ... p4 XpL P! /15f 5/$# 0 f 5/$,B! 5M T,<@) /$5 55!U! #

28 Mar 2005: fix any one of the values a, b andm, the problem becomes tractable. ... In general, we will refer to afactorization n = ab of n with a < A and b < B as an(A, B)-balanced factorization.

9 Aug 2005: M8:<CBM8CB:HN -=|:<;=yH 9+ }Z[F M8:<;FMiD?U.B; -=|B;oHNDX:XF @;C Q<DCB?A uD<W= :H :6. ... dAB46P:?567 ]2:?]ABH? '9 kMM 8BG]?Seq_4T?[B?4@GIAB7:8B?

9 Aug 2005: ELS=/?@YMZ. ... P( B). 0.75 0.250.1 0.9. TF. P(B)B. P( L) VP(L). 0.85 0.150.20 0.80.

19 Dec 2005: 7 temp = array2;. 8 temp[0] = new B(); // B[] <- B: ok. ... class Colour {int r,g,b;void setColour(int r,int g,int b) {this.r = r;this.g = g;this.b = b;. }}.

21 May 2005: Every continuous function on a compact interval [a,b] can be uniformly approximated bypolynomials (Weierstrass’ theorem). ... 12. Let B = B(0, 1) denote the open unit disc, C = C(0, 1) the unit circle and D the set{z C | |z| > 1}.

9 Aug 2005: a. b. c. triangles coplanarrotate about ab to makeb. /. c /a/. a/. b/. b/. align ab and. /. c /. c. a/ b/. b/. a and. ca. ab and. translate to align. ... b/. a/. a/ b/. align ab and. b/. b and. rotate about a to.

18 Jan 2005: xed vertex so that PD d nEBd Then B and byconsidering growing a cluster from that vertex it can be seen that the conditionaldistribution of Bd given B Bd is. ... EB jB BnB. B B. nB. These estimates are plotted against simulated data in Figure b They

24 Apr 2005: YZ;>D?B 86 <? YA m 6 c]dJYJLaYSB 86 <? YA m 6 BED7FA]U aaBED7FA]UbaZ;PRiF 5? ... YZ;>D B B º ¢? X:<;>=J? A A? X:<;>=@? A A m 2mEC 6 c.

20 Sep 2005: 1. B AN xN = A1. B b. Why is it not fair to saythat the simplex algorithm is just a complicated way to invert a matrix? [ ... F5. A gambler at a horse race has an amount b to bet.

8 Nov 2005: M3 will then discover the ultimate destination to be B. B willbe able to remove the final layer of encryption and read the message text T.The Kn values are encryption ... KM1. R2M3. KM2KM3. RBT KB. Message readable by MIX1Message sent to MIX2Message sent

21 Sep 2005: t=1. sin2(ωt) = T σ2/2 ,. 15. cov[A(ω), B(ω)] = E. [. ... 24. 7 Fitting ARIMA models. 7.1 The Box-Jenkins procedure. A general ARIMA(p, d, q) model is φ(B)(B)dX = θ(B)ǫ, where (B) = I B.The

9 Aug 2005: AABB. BBBB. B. B. 1. B. B. 2. B. A 3. ... num. ber. of b. ins. features added. Total number of bins and unassigned bins.

11 Jul 2005: No! Things aren’t that simple…. Dense Jet: B=0. neutral. ve- ve. ... puri. ty. c. b. b). c (b bkgr). ECM = 91 GeV.

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9 Aug 2005: 6). µc =b P(c|b)b. b P(c|b)(7). σc =b P(c|b)(b µc)(b µc). ... al,. which would produce a P(w|B) as. P(w|B) b. P(w|c)P(c|B). (13).

5 Jan 2005: By definition:. P(a 6 X < b) = b. a. f(x) dx (11.2). ... Hence, by (11.2) and (11.1):. P(y(a) 6 Y < y(b). )= P(a 6 X < b) =. b. a. f(x) dx =. y(b). y(a). f(x(y). )

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