The results presented here constitute a brief summary of an on-going multi-year e ort to investigate hierarchical/wavelet bases for solving PDE's and establish a rigorous foundation for these methods. A new, hierarchical, wavelet-Galerkin solution strategy based upon the Donovan-GeronimoHardin-Massopust (DGHM) compactly-supported multi-wavelet is presented for elliptic partial di erential equat...

In this paper we study polynomial maps of vector spaces zi → Ai1i2···is i zi1zi2zi3 · · · zis and their eigenvectors and eigenvalues. The new quantity called complanart is de ned. Complanarts determine complanarity of solution vectors of systems of polynomial equations. Evaluation of complanart is reduced to evaluation of resultants. As in linear case, the pattern of eigenvectors de nes the pha...

Total polyphenols, total anthocyanins and antioxidant activity of various berries: [aronia (Aronia melanocarpa), blackberry (Rubus fruticosus), red raspberry (Rubus idaeus), and strawberry (Fragaria anannassa)] have been evaluated in this study by using Folin-Ciocalteau, pH-diff erential, and DPPH method. Amount of anthocyanins ranged from 232 to 4341 mg kg-1 in strawberry and aronia, respectiv...

Using a linked employer-employee data set of the German manufacturing sector, this paper analyses the role of exporting establishments in explaining rising wage dispersion. Over the period of analysis (1996–2007), the raw wage diff erential between exporters and domestic establishments increased substantially, which can only partly be attributed to corresponding changes in human capital endowme...

This paper introduces a new estimation method of Luby-Racko 's pseudorandomness and maximum average of di erential probability of block ciphers with SPN(Substitution and Permutation Network)structures like E2. In this paper, we analyze the pseudorandomness of the SPN-structure and E2-like transformations and show that this can be easily calculated by simple matrix calculation, and clarify that ...

It can be very time consuming to use the conventional numerical methods, such as the ®nite element method, to solve convection± dispersion equations, especially for solutions of large-scale, long-term solute transport in porous media. In addition, the conventional methods are subject to arti®cial di€usion and oscillation when used to solve convection-dominant solute transport problems. In this ...

Prostate cancer (PCa) is the most frequently diagnosed malignancy in men worldwide. Chemotherapy response is very poor and resistance to hormone-based treatments is frequent in advances stages. Recently, tumor-initiating cells or cancer stem cells (CSCs) have been identifi ed in several cancers, including PCa. These cells are thought to be responsible for therapy resistance, relapse and metasta...

Mesonephric adenocarcinoma is a rare variant of cervical adenocarcinoma. We present a case of mesonephric adenocarcinoma of endocervix with cervical and vaginal lobular mesonephric hyperplasia in a 57-year-old woman. Vaginal bleeding persisting for 12 months was the only symptom. Histopathologic findings and characteristic immunophenotype are crucial for the diagnosis. The tumor was composed of...

In this paper, we studied prepubescent boys (N = 75; 11.3 years ± 2 months) divided into three groups: two experimental groups and age-paired, non-systematically physically engaged controls (N = 25). Th e experimental groups consisted of 27 basketball players, and of 23 dinghy sailors. Th e pulmonary function was established measuring the large airway variables (inspiratory-vital-capacity, forc...

Similarity transforms of the Boussinesq equation in a semi-in®nite medium are available when the boundary conditions are a power of time. The Boussinesq equation is reduced from a partial di€erential equation to a boundary-value problem. Chen et al. [Trans Porous Media 1995;18:15±36] use a hodograph method to derive an integral equation formulation of the new di€erential equation which they sol...