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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?

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

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.

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.

6 Feb 2019: K i. Kiti i,j. Kijtitj i,j,k. Kijktitjtk. =i. Kiti 12i,j. Kij [ti,tj ] 13i,j,k. ... Kijk [[ti,tj ],tk ]. ti denote generators in the Lie algebra.

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

3 Nov 2019: aiZni1{0}. 1φi(ai). converges.We decompose Zni1 {0} = Tni1 Tni T1, where Tj consists of the vectors in Zni1 with. ... ni1. (2.8). In fact, for ai Tj, the product over on the right side of (2.8) may be taken to be the product ofonly the j nonzero ai if

1 May 2019: Finish. Loop over reactors. Loop over timesteps. Solve gas-phase over[tj , tj ts2. ]. ... Solve particle-phase over[tj , tj ts. ]. Solve gas-phase over[tj ts2 , tj ts. ].

27 May 2019: Pkjd t tj. , where tj’s are delay timesand where the kj’s determine the intensity of the responsesubject to.