A survey of support theories for Lie superalgebras and finite supergroup schemes

We survey the current state of various support variety theories for Lie superalgebras and finite supergroup schemes. We pay particular attention to the theory in characteristic zero developed by Boe, Kujawa, and Nakano using relative Lie superalgebra cohomology, and to the theory developed in positive characteristic in our previous work.Comment: 28 pages, comments welcom

Advancing Individual and Societal Development at the Community Level: Role of NGO Microcredit and Leadership Training

In many countries throughout the world micro-credit loans are utilized to empower women by seeking to reduce the poverty of families and communities. Originally Non-governmental organizations’ (NGO) microcredit programs focused on funding women’s businesses. In so doing, NGOs encourage and support women’s empowerment leading to community building, as well as to advancing women’s individual gender equity. This descriptive study is based upon interviews of 100 women who participated in microcredit loan programs run by a Bangladeshi NGO, entitled, Nari Uddog Kendra (NUK). The case study examines the participation and impact of NUK’s business development and leadership training programs. The study describes how leadership development with individuals in group settings, leads to empowerment of women, both in local communities and society. Furthermore, NUK’s training programs offered subjects support in organizing and managing their small businesses. The paper concludes that NUK’s leadership development with women in group setting leads to empower women both in local communities and society

Cancer Survivors in the United States: A Review of the Literature and a Call to Action

Background: The number of cancer survivors in the U.S. has increased from 3 million in 1971, when the National Cancer Act was enacted, to over 12 million today. Over 70% of children affected by cancer survive more than 10 years, and most are cured. Most cancer survivors are adults, with two-thirds of them 65 years of age or older and two-thirds alive at five years. The most common cancer diagnoses among survivors include breast, prostate and colorectal cancers. This review was conducted to better appreciate the challenges associated with cancer survivors and the opportunities healthcare providers have in making a difference for these patients

Study of the third order nonlinear optical properties of Zn1−xMgxSe and Cd1−xMgxSe crystals

Third order nonlinear optical susceptibilities χ<3> of ternary Zn1−xMgxSe and Cd1−xMgxSe crystals have been measured using standard degenerate four-wave mixing (DFWM) method at 532 nm. The nonlinear transmission technique has been applied to check if our crystals exhibit two-photon absorption. The studied Zn1−xMgxSe and Cd1−xMgxSe solid solutions were grown from the melt by the modified high-pressure Bridgman method. For both crystals the energy gap increases with increasing Mg content. In the case of Zn1−xMgxSe, it was found that the value of third order nonlinear optical susceptibility χ<3> decreases with increasing Mg content. An explanation of this behaviour results from the dependence of optical nonlinearities on the energy band gap Eg of the studied crystals. In the case of Cd1txMgxSe with low content of Mg, no response was observed for the studied wavelength since the energy gap in such crystals is smaller than the photon energy of the used laser radiation. It was also found that the value of third order nonlinear optical susceptibility χ<3> for Cd0.70Mg0.30Se is higher than for Zn0.67Mg0.33Se. This behaviour can be understood if one take into consideration that the free carrier concentration in Cd1−xMgxSe samples is about four orders of magnitude higher than that in Zn1txMgxSe ones with comparable Mg content respectively. It is commonly known that when the electric conductivity increases, the values of nonlinear optical properties increase. From the performed measurements one can conclude that the incorporation of Mg as constituent into ZnSe and CdSe crystals leads to a change of the third order nonlinear optical susceptibilities