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1 Sep 2011: More details on the problems relevant to k;p can befound in [1],[2],[5].Recall that Nj(t) := (tjk tj) [tj; tj1; : : :; tjk] ( t)k1+ ;so that suppNj = (tj; tjk); ... degree p such thatsuppMj;p = (tj; tjp1); Z tjp1tj Mj;p(x)dx = 1;and by!

4 Jan 2011: The total energy wasconserved up to one part in 105 for millions of time steps.Each time step was = tj1 tj = 10. ... 0 I , 6. C = I 0 2. Htj1 I , 7composed of s s blocks, where = tj1 tj is the time stepsize, Tkl = kl / mk, kl is the Kronecker delta, I is

25 Oct 2011: Viterbi Algorithm (for a bigram tagger) 18. δtj (n 1) = maxtiδti(n)P (ti|tj)P (wi|ti). ... where δtj (n1) is the probability of the most probable tag sequence endingin tag tj at position n 1. •

29 Jul 2011: 1n1 00 αj. )m. ]. One computes easily that V j = qjn1/2t(Tj). ... Note that since t is analgebra homomorphism, the fact that the Tj commute implies that theoperators V j must also commute.

12 Mar 2011: x j(t) =1q( pjqtq " p) = p. q[( tj)q "1]. …. • ... x j(t) =1q( pjqtq " p) = p. q[( tj)q "1]# k.

28 Jun 2011: 7; $A. http://www.w3c.org/xml//. 5 3. ) J %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% J! ) '. TJ!#!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 21 ) 5 '. T 1#!$; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

22 Feb 2011: 18. Nandan R, Roy GG, Lienert TJ, DebRoy T. Acta Mater 2007;55:883. ... 49. Nandan R, Lienert TJ, DebRoy T. Int J Mater Res 2008;99:434.

13 Apr 2011: i. j. [h(xi ,tj ) f (xi ctj )]2, (2). where h represents the thickness recorded at discrete positionsxi and times tj.

21 Sep 2011: in Cat. t!fsA b =. jJB(tj, b). iI. [J(j, fi) A(si). ].

14 Nov 2011: 25. . Theorem 5.8. Suppose P is irreducible and recurrent.Then for all j I we have P(Tj < ) = 1.