We present a systematic approach to the computation of exact nonreflecting boundary conditions for the wave equation. In both two and three dimensions, the critical step in our analysis involves convolution with the inverse Laplace transform of the logarithmic derivative of a Hankel function. The main technical result in this paper is that the logarithmic derivative of the Hankel function H (1)...

In this paper, we propose a novel watermarking based on the spatial q-log domain. After decomposing the RGB information of the cover image, we apply the q-log transform to obtain the q-log domain frequency. We embed the watermark into the low-frequency of q-SVD domain in order to achieve the robustness of watermark. We choose in our method the Quantization Index Modulation (QIM) based watermark...

Let A = (A1, A2, A3, . . .) be a random sequence of non-negative numbers that are ultimately zero with E[ ∑ Ai] = 1 and E [ ∑ Ai log Ai] ≤ 0. The uniqueness of the non-negative fixed points of the associated smoothing transform is considered. These fixed points are solutions to the functional equation Φ(ψ) = E [ ∏ i Φ(ψAi)] , where Φ is the Laplace transform of a non-negative random variable. T...

Phylogenetic methods that use matrices of pairwise distances between sequences (e.g., neighbor joining) will only give accurate results when the initial estimates of the pairwise distances are accurate. For many different models of sequence evolution, analytical formulae are known that give estimates of the distance between two sequences as a function of the observed numbers of substitutions of...

Statistical depth, a useful tool to measure the center-outward rank of multivariate and functional data, is still under-explored in temporal point processes. Recent studies on process depth proposed weighted product two terms - one indicates cardinality process, other characterizes conditional events given cardinality. The second term great challenge because apparent nonlinear structure event t...

The Q-depth relation in the earth's mantle has been estimated for long-period P waves from two deep-focus and three intermediate earthquakes. The amplitude spectrums of the first P waves from 114 seismograms at recording stations inthe distance range between 15 and 103 degrees, have been corrected for the crustal structure and the instrument and used to measure the effects of attenuation ver th...

We show that O(n) exchanging flips suffice to transform any edge-labelled pointed pseudo-triangulation into any other with the same set of labels. By using insertion, deletion and exchanging flips, we can transform any edge-labelled pseudo-triangulation into any other with O(n log c+h log h) flips, where c is the number of convex layers and h is the number of points on the convex hull.