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19 Apr 2006: 35! Q ,!6 J 3$, $6"8 )0 4" 4 JLKNK 4 B)!B";1G0 83f("E"8,! ... 8g)! =)! Q83I -!>," $' $-"8<=1)6,,-<=2RQ ]/-!SQ TU! 1L,!N 2 5%>=B- B.

14 Sep 2006: The used costterm is thusI? £ F x Jt! #" tx Z £ «b«' Z BB aº B'B z»(17)where. ... I? " F B'B? s aò7µ F ÛóÌô4B'B. A partition of the state space is given by theVoronoi diagram defined by these nodes, seefigure 13a.ñ Partitioning the eigenspace

11 Nov 2006: OC. (2.2). (ii) Addition is commutative, i.e.a b = b a. ... b 0 = b , and from (2.3) 0 b = b.

19 Apr 2006: ¢YKHz6VOzx{K.{{K!lzâZ}z]}¡!zC{B{B!6x$!z¢'! KzK!¡6 |6{K,.z{K.}z].{B6!x{#=!zVH{Kx/K6 ... K7K6},!{KHz66z6|z}¡!6H{K!}¡z/}zZh.B{K K}zC{K}¡xx{K!

10 Oct 2006: n}.How large can we make a family A of subsets of [n] subject to thecondition that for all A, A′ A, there is some B B with B A A′? ... n}.How large can we make a family A of subsets of [n] subject to thecondition that for all A, A′ A, there is some

29 Sep 2006: b) SNRe contours at 2.0% strain. 2.5 Dynamic Resolution Selection procedure. ... and uncoloured noise Simulation B-15dB white noise,. etc. mean SNR is appended.

27 Apr 2006: tems. In addition, crystals an d b u b b l es in m ag m as m a y b e distributed so t h at they create stable den- ... G. F. G i b b , C. M. B. H e n d e r s o n , C.

30 May 2006: 8 ). ( 4. 8 b ). = 0 (n-reven), (4 8 c ) and Fnr = t w ' q s ,. , g , , r B B / ( b r - b n ). (,4.9). We again suppress the argument. ... 4.10 b ) N ( - )" 23(nw cosh [)-$ sin ( w cosh inn - &I-) sen(?).

27 Feb 2006: ngi{_bie|g?t}&X;phYXXq&ZY[X+]. u:/u&9qfYucwE9& :q&>j uc Efc;A :q&> uc 9&E U ... k&mnbi]n}ZY[X}&XlZ<X;h<{y_]nbi]pZZ<ggi¥&Zb?_]b?]b?eoZYXhY]nb?ZY_iXµt:gphY{eb?ZY_gi]vg?tZY[_wWt9bpEZA[nb?Z«}&gfXWqZY[_wWh<X+}&

16 May 2006: Write B for Bi(A). Then for the set-systems A and B, wehave |A| = |A||A+||A4A+| and |B| = |B||B+||B4B+|.Now, |B| |A| and |B+| |A+| (by the ... system B = Ak satisfies |B| = |A|, |B| |A| and Bi(B) = B forall i.

22 Oct 2006: Then there exist a A, b B and c C with ab = c.In particular, this is true if all of A, B and C have size greater than 2n8/9. ... Equivalently, there exist a A and b B suchthat ab = c, as claimed.

8 Nov 2006: 4O:=<CKI@asgD6m{¡MO<>MK?b |7| IU6 J8;:U47L :@JMnMOD:@J¢{0:[ADIPM<=8;:ib |j b |g Sh,£?b | b |g SG[ADIPMub |7|; VT:iU6 J8;:U47L ... B64u<CKC º 1 jsgD6m{MO<>Mub |7|; U6 J8;:U47L :@I@G}<JDWWD:UMO:U47[tJD:nKMOIkCK[tKM@» t4O:=<ChJAD[aV :4ubvea¿>b b b d

31 Jan 2006: O. é{ê_êcë¥ìë¢íî_ïðKñzò_óôìë¢íî_ôOO WZnWYXZY}YwXr|.qRqXERq}fYasd eYfvWYX> ][w >qWYXmO KKI|.0X}d efpcv ][w nKRaWhX}uowuqRqusoaZnÝ 4e|Yd ef_o{uY4Rx[w RqdQWs dexXr >XuRqvr_b.

27 Apr 2006: o c k e d b y r u b b l e a n d previous- ly c o o l e d lava. ... p a n d s t o f o r m t h e r u b b l y surface.

12 May 2006: trivially embed this in the non-abelian theory. B= B?0.( 0( ((q =q? ... B? q? SU(N)diag/SU(N 1) U(1) = CPN1. Simple Idea:. The strings can miss each other in the internal space.

23 May 2006: Secularity condition – resonant sin(θ τ ) and cos(θ τ ). d. dT. (. A. B. ). =. (. a b. b a. )(. ... A. B. ). where. a = 81α/(1 144α2) and b = 3(5 72α2)/2(1 144α2).

15 Sep 2006: Finally (1) and (4) can be written. d r b 4/3 _,d t b b I b b - b •. Equations (8)-(l 1) describe the heat transfer and melting process ... a). 50 100. b). 100. c). 50 100. TIME (yrs). F I G.

28 Nov 2006: limx. µx2 1. x 1ax b. = 0,. what should a and b be? ... c) Find a basis for Null(A) and Col(A). (d) Find a basis for the following set B = {b R4 | Ax = b has nosolution}.

1 Jun 2006: A A A (1 A) and A (1 A) =. (ii) |A| = min{|B| : A B (1 B)}.(iii) |A| = max{|B| : B A,B (1 B) = }. Proof: (i) We may assume ... B : B Z/nZ, |B| = r 1,B (1 B) = }. In particular I(SecrΓn) is generated by a space of (r 1)-ics of dimen-sion β(r 1,n).

19 Apr 2006: F! a! TS- '4( );V! (Y C( E5[- M(&? 3$ (49 P#-# -;9!9]%& W5[- ; ) Ea'-'; UG4?3$ )9&$ B ; B- t%3 ,:E# ;! 5- t(&$7C0:; P B 'RS! ... G. u= K G %' àõö>øEàù ú»s6ø 6þC.ø?»ý ø @2& B B- u 7:>- ra%. (&