Local embeddability of real analytic path geometries

An almost complex structure J on a 4-manifold X may be described in terms of a rank 2 vector bundle E. A splitting of J consists of a pair of line bundles spanning E. A hypersurface M in X satisfying a nondegeneracy condition inherits a CR-structure from J and a path geometry from the splitting. Using the Cartan-K\"ahler theorem we show that locally every real analytic path geometry is induced by an embedding into C^2 equipped with the splitting generated by the real and imaginary part of the standard holomorphic volume form. As a corollary we obtain the well-known fact that every 3-dimensional nondegenerate real analytic CR-structure is locally induced by an embedding into C^2.Comment: 8 pages. Version 2 corrects some typo

Meditation – Yeezy’s (Impossible) Love in Fugitivity’s Strings: A Meditation on “Runaway”

Kanye's debut trilogy of music- The College Dropout (2004), Late Registration (2005), and Graduation (2007) - modeled his ascension to the pinnacle of Hip Hop on truancy, a turning away from America's expected path of formal education. Black folks enter professional machineries of all sorts to make it up and over mountains of struggle, but once enduring the fires of training, whether in College, or in other networks, what awaits us on the other side of financial and commercial success can resemble more of a nightmare than a dream - a dark twisted fantasy. The symphonic feel of "Gone," supplicated by powerful lines from Cam'ron and Consequence, concludes with Kanye, lifted by strings, admitting his consideration to leave the rap game behind: "I'm ahead of my time, sometimes years out / So the powers that be won't let me get my ideas out / And that make me wanna get my advance out / And move to Oklahoma and just live at my aunt's house / Yeah, I romance the thought of leaving it all behind / Kanye step away from the lime / Light." [...]he realizes that assuming the role of a sensei in the rap game would be contributing to the mechanistic production of replaceable Hip Hop artists, and also depriving the world of his irreplaceable talent

Caring attributes and preparedness to care: effects of a pre-enrolled nursing certificate programme in Singapore

Background: Caring is a highly complex and abstract concept, and nurturing a caring attribute among individuals for a nursing career is believed to be best introduced at the start of student journey in preparatory courses specifically designed for nursing. However, because of the need to professionalise nursing, pre-enrolled nursing programmes have been discontinued and replaced by generic healthcare programmes in many parts of the world. Aim: This study aims to evaluate the impact of pre-enrolled certificate nursing education on students’ caring attributes and their preparedness to care. Methodology: A mixed methods approach using unstructured questions and the Caring Behaviour Inventory was employed to determine student caring attributes and their preparedness to care. The participants were final year pre-enrolled nursing students in Singapore. Findings: Students demonstrated attributes of caring based on an average CBI score of 4.55 (SD 0.32). Expressions of professional nurse caring were explicit in students’ entire learning journey and these took various forms of approach embedded in both curricular and extracurricular activites. The study also found that nurturing caring attributes was associated with a high expectation of student social behaviour and closely linked to the increasingly good reputation of nursing as a profession in that region. Conclusions: This study indicates the high potential value of pre-enrolled nursing education for developing the caring attributes of individuals. A nursing-oriented programme title and its high status associated with nursing were critical elements for nurturing the caring attributes. The implications for developments in nurse education and research are discussed

Empathy as a Christian Calling

This essay focuses on the recent study of care in my teaching, and the role empathy plays in enacting an ethic of care. Using current research in empathy, along with reflections on my own teaching practice, the ACTS model offers some practical ways to foster and model empathy in teaching. Several case studies exemplify this approach within a variety of educational settings. Current brain research is also explored in the discussion of the model in this essay

Education, Employment, and Health Outcomes for Black Boys and Young Men: Opportunities for Research and Advocacy Collaboration

In May 2013, CLASP's Partnership Circle and the Scholars Network on Black Masculinity convened 32 nationally recognized researchers and policy advocates, who identified areas of potential influence in crafting policy solutions for black male adolescents and opportunities to act individually and collectively to advance work in these areas

The Visualization of Historical Structures and Data in a 3D Virtual City

Google Earth is a powerful tool that allows users to navigate through 3D representations of many cities and places all over the world. Google Earth has a huge collection of 3D models and it only continues to grow as users all over the world continue to contribute new models. As new buildings are built new models are also created. But what happens when a new building replaces another? The same thing that happens in reality also happens in Google Earth. Old models are replaced with new models. While Google Earth shows the most current data, many users would also benefit from being able to view historical data. Google Earth has acknowledged this with the ability to view historical images with the manipulation of a time slider. However, this feature does not apply to 3D models of buildings, which remain in the environment even when viewing a time before their existence. I would like to build upon this concept by proposing a system that stores 3D models of historical buildings that have been demolished and replaced by new developments. People may want to view the old cities that they grew up in which have undergone huge developments over the years. Old neighborhoods may be completely transformed with new road and buildings. In addition to being able to view historical buildings, users may want to view statistics of a given area. Users can view such data in their raw format but using 3D visualizations of statistical data allows for a greater understanding and appreciation of historical changes. I propose to enhance the visualization of the 3D world by allowing users to graphically view statistical data such as population, ethnic groups, education, crime, and income. With this feature users will not only be able to see physical changes in the environment, but also statistical changes over time