Variable Coefficient Third Order KdV Type of Equations

We show that the integrable subclassess of a class of third order non-autonomous equations are identical with the integrable subclassess of the autonomous ones.Comment: Latex file , 15 page

Realization of Resistorless Lossless Positive and Negative Grounded Inductor Simulators Using Single ZC-CCCITA

This paper is in continuation with the very recent work of Prasad et al. [14], wherein new realizations of grounded and floating positive inductor simulator using current differencing transconductance amplifier (CDTA) are reported. The focus of the paper is to provide alternate realizations of lossless, both positive and negative inductor simulators (PIS and NIS) in grounded form using z-copy current-controlled current inverting transconductance amplifier (ZC-CCCITA), which can be considered as a derivative of CDTA, wherein the current differencing unit (CDU) is reduced to a current-controlled current inverting unit. We demonstrate that only a single ZC-CCCITA and one grounded capacitor are sufficient to realize grounded lossless PIS or NIS. The proposed circuits are resistorless whose parameters can be controlled through the bias currents. The workability of the proposed PIS is validated by SPICE simulations on three RLC prototypes

Boundary Value Problems For Integrable Equations Compatible With The Symmetry Algebra

Boundary value problems for integrable nonlinear partial differential equations are considered from the symmetry point of view. Families of boundary conditions compatible with the Harry-Dym, KdV and MKdV equations and the Volterra chain are discussed. We also discuss the uniqueness of some of these boundary conditions.Comment: 25 pages , Latex , no figure

Developing the Quantitative Histopathology Image Ontology : A case study using the hot spot detection problem

Interoperability across data sets is a key challenge for quantitative histopathological imaging. There is a need for an ontology that can support effective merging of pathological image data with associated clinical and demographic data. To foster organized, cross-disciplinary, information-driven collaborations in the pathological imaging field, we propose to develop an ontology to represent imaging data and methods used in pathological imaging and analysis, and call it Quantitative Histopathological Imaging Ontology – QHIO. We apply QHIO to breast cancer hot-spot detection with the goal of enhancing reliability of detection by promoting the sharing of data between image analysts

3D Architectural Surveying of Diyarbakir Wall's Ulu Beden Tower with Terrestrial Laser Scanner

AbstractTurkey is one of the countries hosting many historical monuments. Many different cultures left rich traces of civilization in Anatolia. Keeping historical artifacts and documentation of these works is very important for the protection of this heritage. The technological progress changed the methods of surveying applications used nowadays. The changes in the methods of surveying applications reflected in the building survey applications too. The traditional surveying methods were replaced by digital photogrammetry and then by laser scanning methods. This work is contains the building survey of the Ulu Beden tower which is a part of Diyarbakir walls. Diyarbakir is a province in southeastern Turkey and in the past, it was home for many civilizations. Hittites, Persia, Macedonian and Seleucid Greeks, Rome, Byzantium, Arabs, Seljuk Empire, Mongol Empire and Ottoman Empire are among these civilizations leaving the traces in Diyarbakir. Diyarbakir wall is the second longest wall after the Great Wall of China. Hundreds of years after the construction of the walls, it is necessary to protect and restore it due to the corruption and demolition over time. In total, 45 stations were built for an architectural survey with laser scanner and the gathered point cloud data were combined together within computer environment to obtain a 3D model of the structure

Interventions for trichomoniasis in pregnancy

Background: Vaginitis due to Trichomonas vaginalis is one of the most common of sexually transmitted diseases. Trichomoniasis affects women during pregnancy as well but it is not clearly established whether it causes preterm birth and other pregnancy complications.Objectives: The objective of this review was to assess the effects of various treatments for trichomoniasis during pregnancy.Search strategy: We searched the Cochrane Pregnancy and Childbirth Group\u27s Trials Register ( 14 January 2011).Selection criteria: Randomized trials comparing anti-trichomonas agents during pregnancy. Trials including symptomatic or asymptomatic women with trichomoniasis were eligible.Data collection and analysis: Two review authors assessed eligibility and trial quality.Main results: We included two trials with 842 pregnant women. In both trials around 90% of women were cleared of trichomonas in the vagina after treatment. In the US trial, women with asymptomatic trichomoniasis between 16 and 23 weeks were treated with metronidazole on two occasions at least two weeks apart. The trial was stopped before reaching its target recruitment because metronidazole was not effective in reducing preterm birth and there was a likelihood of harm (risk ratio 1.78, 95% confidence interval 1.19 to 2.66). The South African trial recruited women later in pregnancy and did not have the design and power to address adverse clinical outcomes. We excluded two recent studies, identified for the current update, because they did not address the primary question.Authors\u27 Conclusion: Metronidazole, given as a single dose, is likely to provide parasitological cure for trichomoniasis, but it is not known whether this treatment will have any effect on pregnancy outcomes. The cure rate could probably be higher if more partners used the treatment

Godel-type Metrics in Various Dimensions II: Inclusion of a Dilaton Field

This is the continuation of an earlier work where Godel-type metrics were defined and used for producing new solutions in various dimensions. Here a simplifying technical assumption is relaxed which, among other things, basically amounts to introducing a dilaton field to the models considered. It is explicitly shown that the conformally transformed Godel-type metrics can be used in solving a rather general class of Einstein-Maxwell-dilaton-3-form field theories in D >= 6 dimensions. All field equations can be reduced to a simple "Maxwell equation" in the relevant (D-1)-dimensional Riemannian background due to a neat construction that relates the matter fields. These tools are then used in obtaining exact solutions to the bosonic parts of various supergravity theories. It is shown that there is a wide range of suitable backgrounds that can be used in producing solutions. For the specific case of (D-1)-dimensional trivially flat Riemannian backgrounds, the D-dimensional generalizations of the well known Majumdar-Papapetrou metrics of general relativity arise naturally.Comment: REVTeX4, 17 pp., no figures, a few clarifying remarks added and grammatical errors correcte

Integrable nonlinear equations on a circle

The concept of integrable boundary value problems for soliton equations on $\mathbb{R}$ and $\mathbb{R}_+$ is extended to bounded regions enclosed by smooth curves. Classes of integrable boundary conditions on a circle for the Toda lattice and its reductions are found.Comment: 23 page