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15 Aug 2012: In advanceof stating this theorem, we present some further notation. Let C1,C2,. ... πD be a collection of site-disjoint green paths of Γ1, each joining some.

15 Aug 2012: for some functions a and b which are slowly varying as p pc. ... Potts, R. B. (1952). Some generalized order-disorder transformations. Proceedings of the Cam-.

15 Aug 2012: Theprobability that this construction ultimately includes some vertex of B dependstherefore only on the marginal probabilities. ... If Un Vn in D(n), we may pick an oriented path π of D(n) joining some.

28 Feb 2012: where α = 12(1. 71). Find an element of OK with norm 2a 3b 5 for some. ... Hint: Use that some power of a is principal.]. The following extra questions are on cyclotomic fields.

26 Oct 2012: or(b)is of not less than five years’ standing from admission to his or her first degree of some other university and has been admitted (i) to some office in ... case the Degree Committee have allowed a candidate to submit material in some other language

5 Nov 2012: 3.17. (i) Let f K(X). Show that K(X) = K(f) if and only if f = (aX b)/(cX d)for some a, b, c, d K with ad ... Deduce that every finite abelian group is the Galois group of some Galois extension K/Q.[It is a long-standing unsolved problem (inverse Galois

11 Apr 2012: More generally, for A, B Zdwe write A B (and similarly for the other relations) if a b for some a A and b B. ... directed edge from some x to x ed liesin no more than one of πa,b , πu,v.

6 Jun 2012: large number of individual members each interacting with their environment in some way. ... sequence of interactions.). In this course we consider mostly approach (A), but include some of approach (B).

24 Jul 2012: exp(iNαj) λj| < ǫ. for each 1 j M. Our construction requires some preliminary results. ... 14. 5 Some simple geometry of numbers. We need the following extension of Theorem 35.

8 Nov 2012: X R which satisfies (for some positivenumbers‖B‖, γ):. • ... whereP is any strictly positive polynomial (i.e.P (x) θ > 0 for some realθ.

2 Sep 2012: Despitethis complex form, the PDFs exhibit self-similarity undera diffusive scaling. Some physical considerations that maybe important in a theory of these results are suggested.Microscopy of Chlamydomonas suspensions was carried. ... There is some out-of

13 Mar 2012: The event was attended by some of Europe’s leading businesses and academic institutions. ... Key challengesTogether with presentations drawn from current research at. the EITIM universities, the comparison of practices at these leading companies

18 Oct 2012: Some peopledon’t require v(K) 6= {0} (so allow the “trivial valuation”).Examples. ... p 1}. for some N. In either case, vp(x) = min{n | an 6= 0}.

26 Oct 2012: Such a candidate shall offer the papers currently listed in Regulation 24(b). ... Paper A3 may include questions on literary, cultural, linguistic, or historical topics, some of which may be based on more extensive material in the foreign language, as

20 Apr 2012: such that Pa,b(Xm = a0,Ym = b0) > 0 for some m 0. ... To obtainthe necessary bounds on the exit times from the region B we now make precise some of theheuristics given above.

8 May 2012: 2I[y](φ) 0φ V0. Lemma 5.0.3 (Sufficient conditions) Assume y V is such that DI[y](φ) = 0φ V0 andthe second variation satisfies, for some c > 0,. ... One. explicit approach to determining whether (5.2) holds for some c > 0 is to calculate the

28 Nov 2012: F maps some neighbourhood U of x dif-feomorphically onto a neighbourhood V of (y,T(x)). ... for some function τ(s). (Note that 〈b, ḃ〉 = 0 since b has unit norm.).

28 Mar 2012: So called Automated Identification systems promise to address some of the limitations of these approaches by providing automated, ubiquitous, item level product identity information at any point in the supply chain. ... Yet the movement of an item can be

23 Jul 2012: There is some interest in the limit as q 0; see Section 1.5. ... If the temperatureis sufficiently low, the iron retains some residual magnetization, otherwise it doesnot.

2 Sep 2012: p2DtC. This experiment raises some interesting questions con-cerning the physics of an array of self-propelling objectsand their interactions with passive particles. ... In gen-eral one may write y2rmsy. 20 aRb , where a is some.

15 Aug 2012: SeeFigure 2.Let Jw (respectively Js) be the event that the origin is an endvertex of some. ... Grimmettfor some ν(β) which is continuous and strictly positive on (0,1).

21 Nov 2012: We begin by fixing some notation and reviewing previous work relating these two quantities. ... More precisely, Yt = i ifand only if Xt = i(a,b) for some a,b.

8 Mar 2012: The analysis follows a similar path to that already discussed for scatteringin 1D but with some important differences. ... i) it was prepared by some mechanism at a time far in the past when the particle waslocalized inside a high potential barrier.

24 Aug 2012: Fig. 8(b)]. IV. EXPERIMENTS. To validate some of the theoretical results, we set up anexperiment to measure the grounding-line position xg and theposition of the first local minimum in ... We then showed consistencyof some theoretical results with

15 Aug 2012: b) If E(|X|δ) < for some δ > 0, then all positive moments of n3n1 convergeto the corresponding moments of the exponential distribution with parameterκ. ... Some relatedmethods and conclusions of Crofton are summarised in [7, Section 4.13].

12 Oct 2012: BmTubR (UniProt Q848W2_BACMQ) lies within an operon con-taining a TubZ homolog in B. ... Proposed ModelBm TubR-DNA. Crystal StructureBt TubR-tubC. Proposedtopological. rearrangement. A B. C D.

15 Aug 2012: For sets A,B of edges or vertices of L, we write A B if B = τxA for some x Z. ... δ = δ {h H : h is 1-connected to some member of δ}.

1 May 2012: 52265). Energydispersive spectroscopy (Fig. 2(b)) confirms they are (Fe,Mn)3C cementitenot containing aluminum. ... Even with some controversieson the embrittlement effect of silicon in solid solution [24, 25], the silicon upto 2 wt.

3 Aug 2012: Cε(k) = [(k 1)ε,kε] {some cube of edge length ε in Rd} and Cε =kNCε(k). ... CambridgeUniversity Press, Cambridge, 1996. [2] Jack Cuzick. Some local properties of Gaussian vector fields.

30 Apr 2012: Learning Without Limits. Rethinking notions of IQ and ‘intelligence’ – Some useful readings Balchin, T., Hymer, B The Routledge International Companion to Gifted and Matthews, D. ... He suggests that learners possess a whole repertoire of learning

15 Aug 2012: If A and B are sets of vertices, we write fA $ Bgfor the event that there exists an open path joining some vertex of A to some vertex ofB. ... by allocating state 1 to all edges in B lies in theevent A.If more than one such set B exists, we pick the

15 Aug 2012: For subsets A and Bof Zd, and configurations ω, we write A B if there is a path of (Zd,η(ω)) joining somepoint in A to some point in B. ... for some continuous γ which is positive and finite when 0 < p̃ < 1.

28 Nov 2012: F maps some neighbourhood U of x dif-feomorphically onto a neighbourhood V of (y,T(x)). ... for some function τ(s). (Note that 〈b, ḃ〉 = 0 since b has unit norm.).

23 Jan 2012: The corresponding G2 structure is closed:. dφ = 0, d φ = τ φ,where τ is some two-form [15]. ... There are also some lower order examples. • The fifth order ODE for conics9(y(2))2 y(5) 45y(2) y(3) y(4) 40(y(3))3 = 0.

15 Aug 2012: Let Es = {E K : |E| = s, Ei E for some i}, 2 s N. ... Having found the (totally). ordered set E′s Es for some given s, we construct the ordered set E′s1 Es1 in the.

27 Jan 2012: On arriving at itsother endpoint b, it has turned through some total turning angle T (γ), measuredanticlockwise in radians. ... b) If either ρ or η exist for some M M, then ρ, δ, η are M-invariant andsatisfy the scaling relations 2ρ = δ 1, ηρ =

15 Aug 2012: There is some interest in the limitas q 0; see Sections 2.4 and 3.6. ... If the temper-ature is sufficiently low, the iron retains some ‘residual magnetisation’, otherwiseit does not.

20 Apr 2012: 1 Ldj1. dj1exp. (c1δ2(1 ξj1)λdj1. ), (41). for some positive constant c1. ... for some constant c1. Therefore, Z is stochastically dominated by a random variable Z. ′

15 Aug 2012: As noted above, C is nite if and onlyif Gn 1 for some n. ... If epc = pc, then such estimates are validthroughout the supercritical phase.Here are some examples of possible conclusions.

18 Sep 2012: 2. The speed constraint,. q̇ q′(s)ṡ q̇ (13). can be transformed into (9) by some simple manipulations.When a speed dependent torque constraint can be usedthe torque can be ... 5. NUMERICAL EXAMPLE. The MATLAB implementation is based on the

2 Nov 2012: in the archaeological record. But the matter of identity requires some brief explanation at the outset. ... Simms, ‘Native sources for Gaelic settlement’, p. 251. Some other moated sites in Roscommon – B.J.

27 May 2012: shaped cells in the posterior hemisphere occurs in con-junction with the formation of the bend region some-what below the equator of the embryo (Figures 1B1, B2,2A, B, 3C, ... I) Detailed SEM view of the cell monolayer from inside the spheroid (seeH for

15 Aug 2012: and which are adjacent to some vertex which has been considered and declared. ... to see that Sk(G) must be connected. Next we introduce some notation.

26 Nov 2012: P.  kj=1. ij=1. ζj B(0,R).  cRdnd/2. ,. since there must exist some ij which is at least n/k. ... Then by Taylor expansion tosecond order terms we obtain for some η (0, 1).

16 Aug 2012: cooling to RT. The grain boundary of parent austenite and some perlitic grains are. ... thickness (c) ranges between 10 to 100 nm. Some blocky austenite below 1 micron.

15 Jan 2012: For some of these residues,however, the rate constants kobs could be estimated from phase-modulated clean chemical exchange (CLEANEX-PM, ref. ... 3A). To assess the influence of the missing backbone N-H reso-nances in the spectra recorded under

24 Sep 2012: steels. Some interesting observations, e.g. inducing BH response in IF steel by changing. ... 2.5 Summary 23. x. Chapter 3 Bake Hardening in Some Common Steels 25.

8 Feb 2012: New Statute D: Discipline and the University CourtsConsultation paper 4This brings together in consolidated form the provision for discipline in the present Statute B, VI and the provision for some (but ... b) The Great Common Seal must be kept in some

10 Aug 2012: genes (Ammar et al., 2009) and some dimarhabdoviruses also contain additional genes (Gubala et al., 2008, 2010; Zhu et al., 2011). ... Longdon personal observation), and some infected D. obscura do not display CO2 paralysis (Longdon et al., 2011b).

15 Aug 2012: some vertex which is itself the root of an infinite open sub-tree? ... We shall use the term ray to mean a member of some Rx.