In particular, P (Xn+1 = xn+1 | Xi = xi for i = 0, 1, . . . , n) does not depend on x0, x1, . . . , xn−1, so P (Xn+1 | X0, . . . , Xn) = P (Xn+1 | Xn), i.e. (Xn) is a Markov chain with transition probabilities given by Equation (3). 2. For Y1, Y2, . . . as in the previous question, let T0 := 0 and for n = 1, 2, . . . let Tn := min {k : k > Tn−1 and Yk = 1} . Explain why (Tn) is a Markov chain, ...

One hundred and fifty patients of epileptic psychosis, registered over a period of five years in neuropsychiatry clinics at NIMHANS were studied. Patients with organic causes which may produce both epilepsy and psychosis were excluded. The epileptic psychosis ratio to epilepsy was 1:23 and the epileptic psychosis ratio to psychosis was 1:75. The mean age at the onset of epilepsy was 19.4 years,...

by John G. Cramer Alternate View Column AV-150

This paper is the preface to a special Issue of Phil. Trans. R. Soc. A reporting selected proceedings of the international conference marking the 150th anniversary of James Clerk Maxwell's professorial debut at Marischal College, Aberdeen. Following an introduction to Marischal College, a brief historical note summarizes Maxwell's life prior to his entering the college as professor of natural p...

OBJECTIVE To evaluate the feasibility and safety of cholecystectomy using miniaturised instruments of 3 mm or less in diameter. DESIGN Prospective study on patients with gallstones, with or without related complications. SETTING Private hospital, Hong Kong. PATIENTS From September 1997 to September 2002, 150 of the 180 consecutive patients managed were included in the present study. MAI...