The long-wavelength diffusion coefficient of a critical fluid confined between two parallel plates, separated by a distance L, is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion coefficient as xi(-1) for xi<>L. We show that this is not strictly true. There is a log...

Let Z1, ..., Zn be i.i.d observations, where Zi = Xi +Yi and Xi and Yi are independent random variables. Assume that the distribution of Y ’s is known. The ordinary deconvolution problem is the problem of estimating the destribution of a random variables Xi from the observations Zi. In some situations (for instance, in signal processing) we don’t know the distribution of Yi but rather can assum...

In this section, we present the classic quick sort algorithm and compute the expected running time of the algorithm. We assume that the elements of the set are all distinct. Below is the randomized quick sort algorithm. Algorithm RandQuickSort(S) Choose a pivot element xi u.a.r from S = {x1, x2, · · · , xn} Split the set S into two subsets S1 = {xj |xj < xi} and S2 = {xj |xj > xi} by comparing ...

Abstract. Solutions of the title equation are discussed, and in particular when all xi are even, p < q are primes, and α,β are positive integers. The author [7] has shown that when all xi are distinct, even, and of the form xi p q, then the title equation has a solution with k = 85. Our main result consists of an improved solution to the title equation when xi are even, xi p q and k = 67. Moreo...

In many real-life situations, we are interested in the value of a physical quantity y that is difficult or impossible to measure directly. To estimate y, we find some easier-to-measure quantities x1; : : : ; xn which are related to y by a known relation y = f(x1; : : : ; xn). Measurements are never 100% accurate; hence, the measured values e xi are different from xi, and the resulting estimate ...

BACKGROUND The yeast Saccharomyces cerevisiae, a promising host for lignocellulosic bioethanol production, is unable to metabolize xylose. In attempts to confer xylose utilization ability in S. cerevisiae, a number of xylose isomerase (XI) genes have been expressed heterologously in this yeast. Although several of these XI encoding genes were functionally expressed in S. cerevisiae, the need st...

Variants of factor XI containing Gln226 to Arg (Q226 to R) and Ser248 to Asn (S248 to N) substitutions were first identified in an African American family with a history of excessive bleeding. The substitutions have recently been identified in unrelated individuals, suggesting they are relatively common. Both amino acids are located in the third apple domain of factor XI, an area implicated in ...

In this paper, the statistical properties of filtered or convolved signals are considered by deriving the resulting density functions as well as the exact mean and variance expressions given a prior knowledge about the statistics of the individual signals in the filtering or convolution process. It is shown that the density function after linear convolution is a mixture density, where the numbe...

The da Vinci Xi robot has been introduced as the successor to the Si platform. The promise of the Xi is to open the door to new surgical procedures. For robotic-assisted radical prostatectomy (RARP)/pelvic surgery, the potential is better vision and longer instruments. How has the Xi impacted on operative and pathological parameters as indicators of surgical performance? This is a comparison of...

Log-concave and Log-convex sequences arise often in combinatorics, algebra, probability and statistics. There has been a considerable amount of research devoted to this topic in recent years. Let {xi}i≥0 be a sequence of non-negative real numbers. We say that {xi} is Log-concave ( Log-convex resp.) if and only if xi−1xi+1 ≤ xi (xi−1xi+1 ≥ xi resp.) for all i ≥ 1 (relevant results can see [2] an...