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27 Apr 2024: 2012). 109,. 268102. (doi:Modelling lateral manoeuvres in fish. K Singh, TJ Pedley. – ... HF Liu, XY Luo, ZX Cai, TJ Pedley. – Communications in Numerical Methods in Engineering.

31 Jul 2023: Writing tj = j(t), yn = n/N,(n = 0, 1,. ,N), and using the notation ρj,n ρ(tj,yn), sj s(tj) we discretise (11) in theform,.

30 Aug 2019: the space of splines of degree k1 spanned by the B-splines (Nj )nj=1on a knot sequence = (tj )nkj=1 such that tj < tjk. ... Prove that‖Qf‖C[tj ,tj1] ck‖f‖C[tj1k,tjk] ,. hence derive that‖f Qf‖ = O(|t|k) f Ck[a, b],.

27 Apr 2024: Search site. Faculty of Mathematics. Current Students. Prospective Students. Opportunities. Joshua Cudby. Current Students. Prospective Students. Opportunities. Research Group. Centre for Quantum Information and Foundations. Email. Faculty of

27 Apr 2024: PW Mote, TJ Dunkerton, ME McIntyre, EA Ray, PH Haynes, JM Russell. –

30 Aug 2019: tjk1 x), and τ is any point in [tj, tjk], can be used tofind the coefficients of the B-spline expansion of f as an element of S. ... that tj < tjk, and let x = (xi)ni=1 be interpolation points obeying the conditions.

17 Jun 2019: Assume p > q. Let Tj = inf{n > 1 : Xn = j} if this is finite, and Tj = otherwise.

27 Apr 2024: Bounded entanglement entropy in the quantum Ising model. GR Grimmett, TJ Osborne, PF Scudo. –

19 Jun 2019: c) tj and tk are times of consecutive events (tj < tk) in a relative survival dataset. ... Describe an example of a situation where. F̂E (tK ) might be greater than F̂E (tj ). END OF PAPER. Biostatistics.

27 Apr 2024: Enterria, M Diefenthaler, M Fucilla, MV Garzelli, M Guzzi, M Hentschinski, TJ Hobbs, J Huston, J Isaacson, SR Klein, F Kling, P Kotko et al.

30 Aug 2019: the space of splines of degree k1 spanned by the L-normalizedB-splines (Nj )nj=1, on a knot sequence = (tj ). nkj=1 , where tj < tjk. Let x = (xi). ni=1

30 Aug 2019: sequence = (tj ). nkj=1 such that tj < tjk.

30 Aug 2019: Part III, Paper 69. 3. 3. 1) Let Sk() be the space of splines of degree k1 spanned by the B-splines (Nj )nj=1on a knot sequence = (tj )nkj=1 ... such that tj < tjk.

30 Aug 2019: i)B (t). (c) tj and tk are times of consecutive events (tj < tk) in a relative survival dataset.Describe the behaviour of F̂E (t) for tj < t < tk. ... Describe an example of a situation whereF̂E (tK ) might be greater than F̂E (tj ). END OF PAPER.

30 Aug 2019: Show that the action of the left-invariant vector fields,. Tj (u) = iµji(u). ... ui,. on the matrix A is given by Tj A(u) = A(u) σj , and hence that Ti are generators of the.

19 Jun 2019: dependent toll Tj(yj ), and suppose each user selects a route in an attempt to mini-. ... Tj () so that the equilibrium flow pattern minimizes the average delay in the network.

30 Aug 2019: y1,j = f(tj) g1(tj) ǫ1,j. y2,j = f(tj t) m g2(tj) ǫ2,j.

30 Aug 2019: The variable tj (j = 1,. , 3) records the time interval under observationand takes the values 2, 4 or 6 months. ... logE(Yij|zi; xi; tj ). 1 E(Yij|zi; xi; tj )= α φZi βT xi δtj , (i = 1,. ,

30 Aug 2019: Justify your answers. Suppose now that, in addition to the delay Dj(yj), users of link j incur a traffic-dependent toll Tj(yj), and suppose each user selects a route ... Show that it is possible to choose the functions Tj() sothat the equilibrium flow

19 Jun 2019: where Si1, Si2 correspond respectively to the swimming times of the strong swimmer andthe not so strong swimmer in the ith pair, for 1 6 i 6 3, and Tj corresponds ... a) Show that for j = 4,. 8, Tj has probability density function.

30 Aug 2019: tj,. t6 with tj < tj1. The seventh individual is censoredat time c7 where t3 < c7 < t4.

30 Aug 2019: Define f(tj) and h(tj) to be theprobability mass function and discrete hazard function of failing at tj respectively. ... Thelatter corresponds to the conditional probability of failing at tj, given still alive beyond theprevious failure time point tj1.

30 Aug 2019: Deduce that for every n 1,. Tn =d1j=1. cn(j)Tj. 2 Define the Weierstrass -function (z) associated to a lattice Λ.

30 Aug 2019: Part III, Paper 61. 5. 5. 1) Let = (tj)nkj=1 be a knot sequence such that tj < tjk, and let Sk() be the.

17 Jun 2019: Let Ti = inf{n > 1 : Xn = i}. For each i 6= j letqij = P(Tj < Ti | X0 = i) and mij = E(Tj | X0 = i).

30 Aug 2019: Ifj(θ) is such that tj < θ < tj1, what is the likelihood for θ?

19 Jun 2019: connected to nodes ti and tj with arcs of infinite capacity, and each nodeti is connected to a node s′ with an arc of capacity w wi 1 and w = wn.

30 Aug 2019: j>0. bj (U (n))tj =n1j=0. (1 t2j1). END OF PAPER. Part III, Paper 16.

30 Aug 2019: where Si1, Si2 correspond respectively to the swimming times of the strong swimmer andthe not so strong swimmer in the ith pair, for 1 6 i 6 3, and Tj corresponds ... a) Show that for j = 4,. 8, Tj has probability density function.

17 Jun 2019: Assume p > q. Let Tj = inf{n > 1 : Xn = j} if this is finite, and Tj = otherwise.

19 Jun 2019: Xj = min(Tj , cj ), for 1 j n. extending the notation of (b) in the natural way.

30 Aug 2019: an(gj)Tj. [Hint: The q-expansions of E4 and E6 are 1240. σ3(n)qn and 1504.

30 Aug 2019: The effects of recombination in the segment may be ignored.The time for which the sample has j distinct ancestors is denoted by Tj , j = 2, 3,. ,

19 Jun 2019: Theeffects of recombination in the segment may be ignored. The time for which the samplehas j distinct ancestors is denoted by Tj , j = 2, 3,. ,

30 Aug 2019: connected to nodes ti and tj with arcs of infinite capacity, and each nodeti is connected to a node s′ with an arc of capacity w wi 1 and w = wn.

30 Aug 2019: Definition. The vector space IndGHV is defined to be the space with basis givenby the abstract symbols tj vi where t1,. , ... is given by g (tj vi) := ts hvi where ts is the unique coset representative suchthat gtj tsH, and h = t1s gtj.

19 Jun 2019: Let uji be the approximation at xi and tj ,i = 1,. ,

30 Aug 2019: Justify your answers. Suppose now that, in addition to the delay Dj (yj ), users of link j incur a traffic-dependent toll Tj(yj ), and suppose each user selects a route

30 Aug 2019: A(t1)A(t2) A(t2n1)〉 = 0. 〈A(t1)A(t2) A(t2n)〉 =. all pairs. 〈A(ti)A(tj)〉〈A(tk)A(tl)〉. Considering carefully the number of pairs in the

30 Aug 2019: State the dual Cauchy identity. Let F (t) =. j>0 fj tj be a formal power series, where f0 = 1.

30 Aug 2019: Xj = min(Tj , cj ), for 1 j n. extending the notation of (b) in the natural way.

19 Jun 2019: The variable tj (j = 1,. , 3) records the time interval under observationand takes the values 2, 4 or 6 months. ... logE(Yij|zi; xi; tj ). 1 E(Yij|zi; xi; tj )= α φZi βT xi δtj , (i = 1,. ,

30 Aug 2019: Theeffects of recombination in the segment may be ignored. The time for which the samplehas j distinct ancestors is denoted by Tj , j = 2, 3,. ,

30 Aug 2019: Let uji be the approximation at xi and tj ,i = 1,. ,

30 Aug 2019: Show that for any j > 1there exists there exists a positive real number Tj such that.

17 Jun 2019: Find the probability-generating functions of the random variables Hj and Tj.

4 Aug 2022: Denote the kernel valuesfor indexed times as Rij k(ti, tj) and let R k(0,0).

17 Jun 2019: for j 6= i. Prove that the random vectors Yj AjX are independent, and thatY (Y T1 ,. ,Y TJ )T has a multivariate normal distribution.[ Hint: Random vectors are independent if

4 Aug 2022: Writedown operators which are a finite product. N. j=1. exp[sjA(tj)] (for appropriate {sj} and {tj}).

17 Jun 2019: Assume p > q. Let Tj = inf{n > 1 : Xn = j} if this is finite, and Tj = otherwise. ... Let Ti = inf{n > 1 : Xn = i}. For each i 6= j letqij = P(Tj < Ti | X0 = i) and mij = E(Tj | X0 = i).