| Process Support Systems (PSSs) support business organizations in modeling, improving, and automating their business process. Thanks to their ability in enacting process models, they can be used to guide people in performing their daily work and to automate the repetitive tasks that do not require human intervention. Given these potential beneets, it is surprising to observe that PSSs are not ...

This paper considers Gaussian flows multiplexed in a queueing network. A single node being a useful but often incomplete setting, we examine more advanced models. We focus on a (twonode) tandem queue, fed by a large number of Gaussian inputs. With service rates and buffer sizes at both nodes scaled appropriately, Schilder’s sample-path large deviations theorem can be applied to calculate the as...

With χ : Ω → {−1,+1} random, A ∈ A, χ(A) has zero mean and standard deviation at most √ n. If |χ(A)| > 6√n then χ(A) is at least six standard deviations off the mean. The probability of this occurring is very small but a fixed positive constant and the number of sets A is going to infinity. In fact, a random χ almost always will not work. The specific constant 6 (actually 5.32) was the result o...

In general relativity, only relative acceleration has an observer-independend meaning: curvature and non-gravitational forces determine the rate at which world lines of test bodies diverge or converge. We derive the equations governing both in the conventional geometric formalism as well as using the background field method. This allows us to generalize the results to test bodies with charge an...

A fast adaptive multiscale algorithm has been devised to characterize a random set of points spanning a high dimensional Euclidean space, but concentrated around special lower dimensional subsets. It has been adapted to analyze gene expression data from microarray experiments. We present here the simplest version of this “multi-strip” algorithm applied to a set of points in R concentrated aroun...

Electrophysiological studies demonstrate that the neural coding of pitch is modulated by language experience and the linguistic relevance of the auditory input; both rightward and leftward asymmetries have been observed in the hemispheric specialization for pitch. In music, pitch is encoded using two primary features: contour (patterns of rises and falls) and interval (frequency separation betw...

A ubiquitous characteristic of elderly and patients with gait disabilities is that they walk slower than healthy controls. Many clinicians assume these patients walk slower to improve their stability, just as healthy people slow down when walking across ice. However, walking slower also leads to greater variability, which is often assumed to imply deteriorated stability. If this were true, then...

The detection of abnormalities is a very challenging problem in computer vision, especially if these abnormalities must be detected in images of textured surfaces such as textile, stone, or wood. We propose a novel, nonparametric approach for defect detection in textures that only employs two features. We compute the two parameters of a Weibull fit for the distribution of image gradients in loc...

We have bounded the expected running times of several randomized algorithms in first two chapters. While the expectation of a random variable (such as a running time) may be small, it may frequently assume values that are far higher. In analyzing the performance of a randomized algorithm, we often like to show that the behavior of the algorithm is good almost all the time. For example, it is mo...