1 The robust isothermal theorem The Moran process on graphs is the standard model for population structure in evolutionary dynamics.1, 2 The process is defined for a directed, weighted graph, G ≡ Gn = (Vn,Wn), where V ≡ Vn := JnK and W ≡ Wn := [wij] is a stochastic matrix of edge weights. The process, denoted by Xt, is Markovian with state space 2 , where each Xt is the subset of V consisting o...

Let aj, 1 <. j <: n + 1, be n + 1 positive real numbers. The random vector (X1,X2,...,Xn) has a Dirichlet D(n; au a2,...,an, att+1) distribution if its probability density function (p.d.f.) is given by (cf. Wilks [14]): (i) f(xt,x2,...,xn) = Kx'rM ' ••• < " _ 1 ( i x , x 2 . . . X T 1 for every (xx,x2,...,xn)e Sn, where Sn -= {(*,., x2,..., xn) | Xi > 0, 1 <: r g n; xt + x2 + ... + x„ < 1} K = ...

ra + n)» T(0x r(£ + v)x F« + n)xk + r(f + t,)x* T(£)xk + T(Qxk T(Qx = T(t + r, h)[T{to)x F(£o)xt] + [r(f + n)** r(ö*J + T({ to)[TQ;0)xt rft,)*] G r({ + t, £0)F2 + F2 + F(£ ¿0)7, C Fi + Vi + Vi C V; i.e., [m+7])-T(0]BCVlor |t?| <Ô, ag£+77go, ÇaF(£). That F(£) is compact for £>£o follows from the fact F(£0) is a compact operator and F(£) ...

BACKGROUND Sarcopenia, the loss of skeletal muscle mass, strength, and function, is common in elderly individuals but difficult to treat. OBJECTIVE A combination of nutrients was investigated to treat sarcopenia in very frail elderly adults. METHODS We enrolled 38 elderly nursing home residents (11 men and 27 women with a mean ± SD age of 86.6 ± 4.8 y) in a 3-mo randomized, controlled, sing...

Motivated by the work of Segal and Segal in [16] on the Black-Scholes pricing formula in the quantum context, we study a quantum extension of the BlackScholes equation within the context of Hudson-Parthasarathy quantum stochastic calculus,. Our model includes stock markets described by quantum Brownian motion and Poisson process. 1. The Merton-Black-Scholes Option Pricing Model An option is a t...

Focusing on community colleges in distressed rural areas of the United States, the Ford Foundation’s Rural Community College Initiative (RCCI) aims to help targeted community colleges expand their capacity to increase access to postsecondary education and to foster regional economic development. RCCI is geared to specific geographic regions where communities face out-migration and stagnant or d...

Given a simple graph G (V, E) and a positive number d, an Ld(2, 1)-labelling of G is a function f V(G) [0, oc) such that whenever x, y E V are adjacent, If(x)f(Y)l >2d, and whenever the distance between x and y is two, If(x) f(Y)l >d. The Ld(2, 1)-labelling number A(G, d) is the smallest number m such that G has an Ld(2, 1)-labelling f with max{f(v) v E V} m. It is shown that to determine A(G, ...

An electrophoretic variant of lactate dehydrogenase (LD) M(A) subunit was discovered in a female patient with chest pain. Her LD activity in serum was within the normal reference interval, and analysis of her LD isoenzyme pattern showed an abnormal migration indicating a fast-type LD-M(A) subunit variant. DNA analysis of the mutant LD-M gene detected a single base substitution, an A to G transi...

This paper presents the main results and conclusions of the Third Rewrite Engines Competition (REC III). This edition of the competition took place as part of the 8th Workshop on Rewriting Logic and its Applications (WRLA 2010), and the systems ASF+SDF, Maude, Stratego/XT, Tom, and TXL participated in it.