On powers in shifted products

In this note we give an estimate for the size of a subset A of {1, ..., N} which has the property that the product of any two distinct elements of A plus 1 is a perfect power

Continued fraction representation of the Coulomb Green's operator and unified description of bound, resonant and scattering states

If a quantum mechanical Hamiltonian has an infinite symmetric tridiagonal (Jacobi) matrix form in some discrete Hilbert-space basis representation, then its Green's operator can be constructed in terms of a continued fraction. As an illustrative example we discuss the Coulomb Green's operator in Coulomb-Sturmian basis representation. Based on this representation, a quantum mechanical approximation method for solving Lippmann-Schwinger integral equations can be established, which is equally applicable for bound-, resonant- and scattering-state problems with free and Coulombic asymptotics as well. The performance of this technique is illustrated with a detailed investigation of a nuclear potential describing the interaction of two $\alpha$ particles.Comment: 7 pages, 4 ps figures, revised versio

Analysis of the ship ops model's accuracy in predicting U.S. Naval ship operating cost

MBA Professional ReportThe purpose of this MBA Project was to investigate and provide a comprehensive analysis of the accuracy of the Ship Ops model used by the US Navy to budget for ship-operating costs. This project was conducted with the sponsorship and assistance of the OPNAV N82 office, also known as the Office of Budget (FMB). The goal of this project was to improve FMB's ability to predict ship-operating costs through the use of an improved Ship Ops model. This project provides an in depth introduction to the Ship Ops model currently in use and an analysis of the model's performance in predicting accurate operating costs. The project also provides suggestions for improvements to the model and tools that can be used to predict costs on an individual ship level that is not possible with the current model. This project observed only limited improvements in predicting Repair Parts and OPTAR cost through the use of regressions based on operational data such as days underway. Significant improvement was observed when the current moving average methodology for predicting Repair Parts cost was replaced with a regression-based prediction based on a sequential independent variable, Fiscal Year.http://archive.org/details/analysisofshipop109459856Lieutenant Commander, United States NavyFirst Lieutenant, Hungarian ArmyLieutenant, United States NavyApproved for public release; distribution is unlimited

Variational separable expansion scheme for two-body Coulomb-scattering problems

We present a separable expansion approximation method for Coulomb-like potentials which is based on Schwinger variational principle and uses Coulomb-Sturmian functions as basis states. The new scheme provides faster convergence with respect to our formerly used non-variational approach.Comment: some typos correcte

Wang Bi\u27s Annotation on Laozi\u27s Place in China and Japan: Focusing on Ogyu Sorai

Wang Bi\u27s Annotation on Laozi 『老子』王弼注 is considered one of the representative notes on Laozi. In Chinahowever, it was not until 1781 when this book was included in Sikuquanshu 『四庫全書』 that the study of Wang Bi\u27s note became popular. In Japan, while Wang Bi\u27s note was introduced before the 5th century, it received rare recognition until Okada Touin\u27s Laozi Daodejing Annotated by Wang Bi 岡田東贇 『老子道徳経王弼注』 published in 1734. However, further research reveals that Ogyu Sorai 荻生徂徠 had pointed out in Keishishiyohran 『経子史要覧』 that, in reading Laozi from the view of classical rhetoric 古文辞学 Wang Bi\u27s annotation should be referred to. Keishishiyohran was based on Sorai\u27s dictation before 1728, and it was earlier than both Okada Touin\u27s Laozi Annotated by Wang Bi (1734) and Sikuquanshu (1781). Therefore< judging from evidences currently available, it seems fair to conclude that Sorai was the pioneer who introduced Wang Bi\u27s annotation into the field of Laozi studies

Measuring and managing liquidity risk in the Hungarian practice

The crisis that unfolded in 2007/2008 turned the attention of the financial world toward liquidity, the lack of which caused substantial losses. As a result, the need arose for the traditional financial models to be extended with liquidity. Our goal is to discover how Hungarian market players relate to liquidity. Our results are obtained through a series of semistructured interviews, and are hoped to be a starting point for extending the existing models in an appropriate way. Our main results show that different investor groups can be identified along their approaches to liquidity, and they rarely use sophisticated models to measure and manage liquidity. We conclude that although market players would have access to complex liquidity measurement and management tools, there is a limited need for these, because the currently available models are unable to use complex liquidity information effectively

Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States

We present the study of weakly bound, neutron-rich nuclei using the nuclear shell model employing the complex Berggren ensemble representing the bound single-particle states, unbound Gamow states, and the non-resonant continuum. In the proposed Gamow Shell Model, the Hamiltonian consists of a one-body finite depth (Woods-Saxon) potential and a residual two-body interaction. We discuss the basic ingredients of the Gamow Shell Model. The formalism is illustrated by calculations involving {\it several} valence neutrons outside the double-magic core: $^{6-10}$He and $^{18-22}$O.Comment: 19 pages, 20 encapsulated PostScript figure

Effect of side groups on the properties of cationic polyaspartamides

© 2017 Elsevier Ltd Polyaspartamides with dialkylaminoalkyl and short chain alkyl side groups were synthesized and characterized in order to prepare polymer films. Their structure was confirmed by nuclear magnetic resonance ( 1 H NMR) and Fourier transform infrared (FTIR) spectroscopy and their thermal decomposition temperature (T d ) was determined by thermogravimetric analysis. The composition of the polymers was adjusted to obtain polyaspartamides with glass transition temperatures (T g ) at around room temperature and the relationship between the structure and the properties was examined. The dissolution profile of polymer films made of polyaspartamides was measured with the help of fluorescent marking to show that dissolution rate of the films depends on the pH and can be controlled by the composition of the polymers

Effect of side groups on the properties of cationic polyaspartamides

© 2017 Elsevier Ltd Polyaspartamides with dialkylaminoalkyl and short chain alkyl side groups were synthesized and characterized in order to prepare polymer films. Their structure was confirmed by nuclear magnetic resonance ( 1 H NMR) and Fourier transform infrared (FTIR) spectroscopy and their thermal decomposition temperature (T d ) was determined by thermogravimetric analysis. The composition of the polymers was adjusted to obtain polyaspartamides with glass transition temperatures (T g ) at around room temperature and the relationship between the structure and the properties was examined. The dissolution profile of polymer films made of polyaspartamides was measured with the help of fluorescent marking to show that dissolution rate of the films depends on the pH and can be controlled by the composition of the polymers