Efficient algorithm for representations of U(3) in U(N)

An efficient algorithm for enumerating representations of U(3) that occur in a representation of the unitary group U(N) is introduced. The algorithm is applicable to U(N) representations associated with a system of identical fermions (protons, neutrons, electrons, etc.) distributed among the N=(η+1)(η+2)∕2 degenerate eigenstates of the ηth level of the three-dimensional harmonic oscillator. A C++ implementation of the algorithm is provided and its performance is evaluated. The implementation can employ OpenMP threading for use in parallel applications. Program summary: Program Title: UNtoU3.h Program files doi: http://dx.doi.org/10.17632/3g4w8f9vdk.1 Licensing provisions: MIT Programming language: C++ Nature of problem: The determination of the complete set of U(3) irreducible representations (irreps) that occurs in a representation of U(N), where N=(η+1)(η+2)∕2 is the degeneracy of the ηth harmonic oscillator shell. Solution method: The resulting set of U(3) irreps is determined by applying a simple difference relation to the U(3) weight distribution of the Gelfand basis states spanning a given U(N) irrep

Perceptual differences regarding health and environmental problems and their remedies in two states of the former Czechoslovakia

In the framework of the Central European Study on Air pollution and Respiratory Health (CESAR), a risk perception and risk communication study was carried out in a total of 25 areas in Bulgaria, the Czech Republic, Hungary, Poland, Romania and the Slovak Republic. This paper is focused on the differences of perception between the Czech (CR) and the Slovak Republic (SR), and the other involved countries. The analysis is based on the data of a structured risk perception questionnaire survey of a random population sample. 6,043 completed questionnaires were collected from the total number of 14,400 distributed ones in 25 areas of the 6 countries. The risk perception was different in the CR and the SR, mainly concerning local environment and health of children in the CR and drug abuse including alcohol consumption and AIDS in the SR. In both countries environmental and health problems were seen as important, but the perceived responsibility for finding a solution was placed with different kinds of institutions

Perceptual differences regarding health and environmental problems and their remedies in two states of the former Czechoslovakia

In the framework of the Central European Study on Air pollution and Respiratory Health (CESAR), a risk perception and risk communication study was carried out in a total of 25 areas in Bulgaria, the Czech Republic, Hungary, Poland, Romania and the Slovak Republic. This paper is focused on the differences of perception between the Czech (CR) and the Slovak Republic (SR), and the other involved countries. The analysis is based on the data of a structured risk perception questionnaire survey of a random population sample. 6,043 completed questionnaires were collected from the total number of 14,400 distributed ones in 25 areas of the 6 countries. The risk perception was different in the CR and the SR, mainly concerning local environment and health of children in the CR and drug abuse including alcohol consumption and AIDS in the SR. In both countries environmental and health problems were seen as important, but the perceived responsibility for finding a solution was placed with different kinds of institutions

Vulvar sarcomas: Short guideline for histopathological recognition and clinical management. Part 2

Malignant tumors of the female reproductive system are a serious health and social problem, as they are the second most common cause of death among women, after breast cancer. Their incidence has increased dramatically during recent years, probably due to the different sexual habits and changes in the prevalence of HIV/ AIDS and HPV virus carriers, among other factors. Vulvar tumors represent only 4% of all gynecological neoplasms, and they are fourth in frequency after tumors of the cervix, uterus, and ovary. Ninety eight percent of all vulvar tumors are benign and only 2% are malignant. The overall incidence of tumors with vulvar location is between two and seven cases per 100,000 women, and it increases with age, while the death rate is estimated at 0.7 per 100,000 women. Sarcomas of the vulva comprise approximately 1–3% of all vulvar cancers, with leiomyosarcomas, epithelioid sarcomas, and rhabdomyosarcomas being the most common among them. They are characterized by rapid growth, high metastatic potential, frequent recurrences, aggressive behavior, and high mortality rate. In this paper, we present the most common forms of sarcomas of the vulva (leiomyosarcoma, epithelioid sarcoma, malignant rhabdoid tumor, rhabdomyosarcoma) in order to emphasize the broad differential diagnosis, rare appearance, non-specific clinical picture, aggressive course, and high mortality

Towards auction algorithms for large dense assignment problems

Linear sum assignment problem, Auction algorithm, Linear optimization, Distributed algorithms,