On Higher Derivatives of Expectations

It is understood that derivatives of an expectation $E [\phi(S(T)) | S(0) = x]$ with respect to $x$ can be expressed as $E [\phi(S(T)) \pi | S(0) = x]$, where $S(T)$ is a stochastic variable at time $T$ and $\pi$ is a stochastic weighting function (weight) independent of the form of $\phi$. Derivatives of expectations of this form are encountered in various fields of knowledge. We establish two results for weights of higher order derivatives under the dynamics given by (\ref{dynamics}). Specifically, we derive and solve a recursive relationship for generating weights. This results in a tractable formula for weights of any order.price sensitivities, greeks, malliavin calculus

The Distribution of the Irreducibles in an Algebraic Number Field

The objective of this thesis is to study the distribution of the number of principal ideals generated by an irreducible element in an algebraic number field, namely in the non-unique factorization ring of integers of such a field. In particular we are investigating the size of M(x), defined as M ( x ) =∑ (α) α irred.|N (α)|≤≠ 1, where x is any positive real number and N (α) is the norm of α. We finally obtain asymptotic results for hl(x)

THE EFFECT OF ANNEALING ON AMORPHOUS SILICON BASED SOLAR PHOTOVOLTAIC THERMAL SYSTEM (PV/T) AND APPROPRIATE GLOBAL DISPATCH STRATEGIES

Previous work has shown that high-temperature short-term spike thermal annealing of hydrogenated amorphous silicon (a-Si:H) photovoltaic thermal (PVT) systems results in higher electrical energy output. The relationship between temperature and performance of a-Si:H PVT is not simple as high temperatures during thermal annealing improves the immediate electrical performance following an anneal, but during the anneal it creates a marked drop in electrical performance. In addition, the power generation of a-Si:H PVT depends on both the environmental conditions and the Staebler-Wronski Effect kinetics. In order to improve the performance of a-Si:H PVT systems further, this paper reports on the effect of various dispatch strategies on system electrical performance. Utilizing experimental results from thermal annealing, an annealing model simulation for a-Si:Hbased PVT was developed and applied to different cities in the U.S. to investigate potential geographic effects on the dispatch optimization of the overall electrical PVT systems performance and annual electrical yield. The results showed that spike thermal annealing once per day maximized the improved electrical energy generation. In the outdoor operating condition this ideal behavior deteriorates and optimization rules are required to be implemented

Reproductive Journeys: Indo-Caribbean Women Challenging Gendered Norms

Little is known about the factors that influence people from the Caribbean to seek reproductive health services in the United States. In this paper, I focus on Indo-Caribbean women from Guyana and Trinidad who undertake reproductive journeys to New York. I ask: (1) What influences Indo-Caribbean women to begin their reproductive journeys to Richmond Hill, New York? (2) How do Indo-Caribbean women challenge gender norms during their reproductive journeys? (3) How does women’s class inform their decision making in challenging gendered norms? After conducting 30 in-depth interviews with Indo-Caribbean women from Guyana and Trinidad who seek reproductive health services in New York, I find that Indo-Caribbean women’s reproductive journeys are influenced by sexism experienced within households, communities, and doctors’ offices, lack of proper care, legal restrictions, and unaffordable treatment. Another driver is support from women networks. Social networks helped women challenge gendered norms around motherhood that are present within communities in home countries. As women receive support from their networks, they challenge gender norms varied by their class. Women from middle-income households are more likely to challenge gender norms outwardly. Obtaining reproductive health care abroad becomes a journey with multidimensional experiences of gendered negotiations and constraints

New Media and the Traditional Media Platforms: Introspection on the Differences in Technical and Ideological Factors and Audience-integration Patterns between New Media and Traditional Media

The study makes introspection into the technical and ideological differences and the resultant formation of patterns of audience-integration among traditional and new media platforms. The study concludes with a hypothesis that democratic features and postulates of new media make the differences in effect. The research concludes with the fact that traditional media has no choice but to interact and collaborate with new media, as they are increasingly challenged to keep up to a more interactive and involving audience. Therefore, they have developed a symbiotic relationship of convenience with new media for better audience associations