Let X be a compact set in the z-plane. We are interested in two function spaces associated with X: C(X) — space of all continuous complex-valued functions on X. P(X) =space of all uniform limits of polynomials on X. Thus a function ƒ on X lies in P{X) if there exists a sequence {Pn} of polynomials converging to ƒ uniformly on X. Clearly P(X) is part of C(X). QUESTION I. When is P(X) = C(X)t i.e...

A well-known objection to divine will/divine command moral theories is that they commit us to the view that God’s will is arbitrary. I argue that several versions of divine will/divine command moral theories, including two of Robert Adams’s versions of the DCT and my own divine preference theory, can be successfully defended against this objection. I argue that, even if God’s preferences are so...

Based on application practices of the CampusWAMS developed in Western Japan 60-Hz power system and Thailand power system, this paper presents a single-mode-oriented monitoring and estimation scheme of power system small-signal stability. The data filtering technique based on FFT is employed to extract oscillation data for single mode. The auto spectrum analysis is employed to compute the domina...

For signal-based design of orthonormal (ON) wavelets, an optimization of a cost function over an N -dimensional angle space is required. However: (1) the N -dim space includes both smooth and non-smooth wavelets; (2) many of the smooth wavelets are similar in shape. A more practical approach for some applications may be to construct a library of smooth ON wavelets in advance—a library that cons...

The paper presents an application of the wavelet transform for damage detection based on optical measurements. A number of important issues that need to be considered when image sequences are used for vibration analysis are discussed. These include: correspondence of image features from image to image, image calibration and spatial resolution. The principles of image edge detection are discusse...

To simplify the design of compilers, Noam Chomsky proposed to first transform a description programming language—which is usually given in form context-free grammar—into simplified “normal” form. A natural question is: why this specific normal form? In paper, we provide an answer question.

In this paper, we propose a novel ellipse detection method for real images. The proposed method uses the information of edge curvature and their convexity in relation to other edge contours as clues for identifying edge contours that can be grouped together. A search region is computed for every edge contour that contains other edge contours eligible for grouping with the current edge contour. ...

Introduction: The aim of this study was to evaluate the impact of measurement of coronary artery calcification score (CAC) in patients with suspected coronary artery disease (CAD) and a normal myocardial perfusion scan. Methods: In a prospective study we measured the calcium score of 74 patients (29 m, 45 f, mean age 58.7 (m) and 64.4 (f)) with suspicion of CAD and a normal perfusion scan. In ...

We consider the problem of generating hard instances for the Satisfying Assignment Search Problem (in short, SAT). It is not known whether SAT is difficult on average, while it has been believed that the Factorization Problem (in short, FACT) is hard on average. Thus, one can expect to generate hard-on-average instances by using a reduction from FACT to SAT. Although the asymptotically best red...

The linear Vlasov-Poisson system for homogeneous, stable equilibria is solved by means of a novel integral transform that is a generalization of the Hilbert transform. The integral transform provides a means for describing the dynamics of the continuous spectrum that is well-known to occur in this system. The results are interpreted in the context of Hamiltonian systems theory, where it is show...