Discretization

\caption{Images of the velocity distributions for the trapped rubidium atoms taken from \cite{JILA}. On the left is the distribution for the thermal cloud, taken when the system is at a larger temperature $\sim400\,\,\textrm{nK}$ than the critical temperature for BECs, the center frame is a point in between that is part condensate and part thermal, $\sim200\,\,\textrm{nK}$, and the final image is purely condensate within the density peak when temperature $\sim50\,\,\textrm{nK}$. The physical size

In 1806 Ralph Waldo Emerson wrote in his book titled Nature a series of ideas that reflected the unconventional theories of a Transcendentalist. American Transcendentalism Web, "Ralph Waldo Emerson 1803-1882," Virginia Commonwealth University, accessed June 9, 2017, http://archive.vcu.edu/english/engweb/transcendentalism/authors/emerson/. Transcendentalists connected philosophy, literacy, and nature to promote a "conscience or intuition that made it possible for each person to connect to the spiritual

2. Education in the human development context This part navigates into both scale levels of the model: A general landscape is provided by the dimension network analysis, and the bridge detail is delivered by the local scale analysis among subnetworks. Besides education, the ACS included other human development dimensions in the thematic groups numbered in Figure 2. Wealth is represented by several thematic groups (2, 6, 5, 9, 8, 11, 18), but health is limited to insurance coverage (12). Culture is

The Social Comparison theory can be applied to how beauty standards in television have an effect on how children view themselves and the world. The theory describes that individuals make judgments about themselves based on the comparison they view on television. In the theory there are two types of comparisons to be made: upward comparisons and downward comparisons. This analysis will focus on upward comparisons as it is best applied to how beauty standards in television affects the way children

Introduction Data gathering methods are often loosely controlled, resulting in out-of-range values (e.g., Income: -100), impossible data combinations (e.g., Gender: Male, Pregnant: Yes), missing values, etc. Analyzing data that has not been carefully screened for such problems can produce misleading results. Thus, the representation and quality of data is first and foremost before running an analysis. If there is much irrelevant and redundant information present or noisy and unreliable data, then

The fifth and final argument for the existence of God that Aquinas makes, explains natural law and order. To put it simply, there is order in nature. Since this order exits, there has to be a designer to this order. This being must be powerful and intelligent enough to have created the order in which we see in nature as we know it. The only explanation of this creator is God himself. He is the only possible answer who is powerful enough to create this law and order within nature. (Aquinas page 2

Thin walled structures are an important part of engineering construction with territories of use becoming diverse continuously ranging from girder bridges, oil vessels to industrial warehouses , framed structures. Thin walled sections have various stresses and failure modes which can be difficult to predict. Thus structural engineers need help of computers for analysis of these structures. This has been done by using software called THIN-WALL which estimates the cross-sectional

INTRODUCTION Crime analysis is the breaking up of acts committed in violation of laws into their parts to find out their nature and reporting ,some analysis. the role of the crime analysts varies from agency to agency. Statement of these findings is the objective of most crime analysis to find meaningful information in vast amounts of data and disseminate this information to officers and investigators in the field to assist in their efforts to apprehend criminals and suppress criminal activity.

discovery process, facilitating the clustering of the words of POIs with similar temporal patterns into the same topic with high probability. To integrate the check-in time information to the topic discovery process, we employ the widely adopted discretization method in [Gao et al. 2013; Yuan et al. 2013] to split a day into hourly-based slots. In the standard topic models [Blei et al. 2003; Wallach et al. 2009], a document (i.e., a bag of words) contains a mixture of topics, represented by a topic

Chapter 4 presents methods for increasing precision by reducing the variance of Monte Carlo estimates. Chapter 5 discusses the application of deterministic quasi-Monte Carlo methods for numerical integration. Chapter 6 addresses the problem of discretization error that results from simulating discrete-time approximations to continuous-time models. The last three chapters address topics specific to the application of Monte Carlo methods in finance. Chapter 7 covers methods for estimating price sensitivities